{"text":"Question: Put -3, -47, -2, 143, -9 in descending order.\nAnswer: 143, -2, -3, -9, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -50989?\nAnswer: -3\/50989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((10\/(-12))\/(610\/(-20)))\/(120\/144)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0  (b) 3  (c) -118\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -87, -109, -157, -231?\n\"Answer: -13*x**2 + 17*x - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 2*v + 1 - 5 = 0, -4*s = -2*v - 6. Which is the nearest to 2\/5?  (a) s  (b) 0.5  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 7*q**2 - 4*q - 4. Let a(c) = 9*c**2 - 5*c - 5. Let z(x) = 4*a(x) - 5*g(x). Let h(i) = 14*i. Give z(h(t)).\nAnswer: 196*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 616 and 27461.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*x + 31 = 19*x + 3*l, 5*x = l + 15. Sort x, 11\/2, -2\/19 in descending order.\nAnswer: 11\/2, x, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:32 AM and 9:25 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2113*w - 5*w**2 + 1056*w + 1063*w.\nAnswer: -5*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 265963 is divided by 6044.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**2 + 172*i + 2011. Give p(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85*o = -50*o. Which is the third biggest value?  (a) -11.7  (b) o  (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 17*b**3 - 2*b + 1. Let g(o) = 640*o**3 - 3*o**2 + 47*o + 6. Let v(f) = -g(f) + 6*s(f). What is the third derivative of v(x) wrt x?\nAnswer: -3228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*x + x - x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1179 + 1182. Solve 5*u = -k - 18, -6 = -3*k - a*u - 24 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-72506)\/21)\/(4\/(-18)). Let f = 22197 - a. Round f to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -8798  (b) -3  (c) -5  (d) 0.6  (e) -1  (f) 0  (g) 2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1576 - -1570.352. Let n = 0.052 - s. Let o = -16 + n. What is o rounded to zero dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 7*n**2 - 213*n + 1168. Calculate j(23).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -5*g. Let z(p) = -p. Let q(l) = 2*l**2 + 5*l - 7. Let i(a) = -q(a) - 5*z(a). Let x(s) be the first derivative of i(s). Calculate v(x(m)).\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the first derivative of 34\/3*b**3 + 34 + 0*b + 0*b**4 - 12\/5*b**5 + 0*b**2. What is the third derivative of l(o) wrt o?\nAnswer: -288*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -19, -2, 4, 5 in increasing order.\nAnswer: -19, -3, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, -21, -104?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**2 - 5*u + 2. Let j(n) = -n + 17. Let p(d) = -d + 8. Let m(q) = 2*j(q) - 5*p(q). Let o be m(8). Let f be o\/4*2\/(-3). Calculate g(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, h: 1}. Give prob of sequence sh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 4*n + 1. Let m be h(1). Suppose -2*a - 15 = -0*a - q, 0 = a - m*q + 30. Let o(d) = -2*d. What is the tens digit of o(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-22)\/(-8) + (-18)\/24. Let i(w) = 1 - 7*w**2 - w**j - 42*w - w**3 + 36*w. Calculate i(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -2*o**5\/19 - 32410*o**4\/19 + 259410*o**3\/19 + 32410*o**2\/19 - 259408*o\/19 = 0.\nAnswer: -16213, -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2*-2*406\/(-116). Suppose 6*t - 2*t = 5*n - 12, 3*n - j = -t. Let 8*v - 81\/4*v**3 - 45\/4*v**t - 1 = 0. What is v?\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 + 1 + -2 - 27. What is the hundreds digit of (6 - -139)*v\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-5))\/(3*(-5)\/(-75))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:39 PM and 9:09 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3844196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3*d - 2)*(-40*d - 91*d + 22*d) - 2*d**2 + 6*d**2 - 2*d**2.\nAnswer: 329*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.141087 + 0.2.\nAnswer: 0.058913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1157939340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -7*(4\/(-10))\/(14\/10). Let d be (1*(s + -1))\/(1\/3). Solve -1 - 7\/2*u**4 - 5\/2*u**d + 5\/2*u + 9\/2*u**2 = 0 for u.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000021946 rounded to 6 decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0.44, -2\/7 in decreasing order.\nAnswer: 0.44, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4 - 7\/(7\/(-3)). Let t = c - 0. Solve 5*o + 27 = -2*v, 0 = 3*o - 4*o - 2*v - t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*n + 0*n + 2*n)*(1 + 2 - 1)*((6*n - n - 3*n)*(0 + 4 - 3) + n - 2*n + 0*n - 2*n + 21*n - 4*n).\nAnswer: 256*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 21*t = -22*t + 903, -3*f = t - 678. Calculate the greatest common divisor of 60 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 730554 to the nearest 1000.\nAnswer: 731000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 11455 and 13746.\nAnswer: 68730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o = 5*p + 3, 0 = -33*o + 30*o + 3*p + 18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 + 4886?\nAnswer: 5001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 38, 0.5, -5, 2, 0.01, -8\/3, 8?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -10*m**3 - 12*m**2 - 12*m - 12. Let k(y) = -4*y**3 - 5*y**2 - 5*y - 5. Suppose 6*a = -a + 161. Let l = a + -35. Calculate l*k(x) + 5*g(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2*y + 2. Let h(d) = 15*d + 17. Let a(j) = 8*j + 9. Let o(x) = -11*a(x) + 6*h(x). Calculate 3*f(p) - 2*o(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -f + -72?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 6:20 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 3  (b) -0.069  (c) -2  (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + 8 = 4, z = 3*m + 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 6.834507 nanometers?\nAnswer: 0.0000006834507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1546 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 2*n**2 - 175*n - 82. Let b be c(93). Let l(g) = g - 2. Let x be l(6). Suppose -h - 4*h + b = -3*p, 2*p = x*h - 752. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 0*i**2 - 2*i**2 + i**2. Let v(g) = 27*g**2 - 15. Let l(n) = -7*n**2 + 4. Let m(q) = -15*l(q) - 4*v(q). Determine m(x(p)).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**3 + 5*t**2 - 4*t. Let l = -18 + 20. Calculate the least common multiple of d(3) and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**2. Suppose -4*m - 13 = -10*t + 5*t, -3*m = 3*t + 3. Let d(f) = 2*f - 1 + t. Give d(q(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-28)\/(-35)*(1 - -4). Suppose -15*o = -20*o - n*g + 117, -102 = -5*o + g. Calculate the remainder when 121 is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*l**2 + 8*l**3 - 50*l**3 - 6*l**2 to q*l**3 + c*l + r*l**2 + m and give q.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(1\/5)\/o**(2\/7))\/(o**(1\/4))**(-18))\/((o**(-1\/4)*o)**35*(o\/o**(-1))**1) assuming o is positive.\nAnswer: o**(-3337\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9825, -39730, -89719, -159792, -249949?\nAnswer: -360190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 489.1 times 192?\nAnswer: 93907.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11*r**3 - 13*r**3 + 14*r**3 + (-6*r - 10*r + 5*r)*(6*r**2 - 4*r**2 - 4*r**2).\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) 2\/3  (c) -81  (d) -2  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 40928, 40891, 40824, 40721, 40576, 40383?\n\"Answer: -t**3 - 9*t**2 - 3*t + 40941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3\/10, 0.18, -1.52, 0.09?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 - -18. Calculate the remainder when 43 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**3 + 15*a**2 - 19*a - 269. Calculate z(12).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 6, e: 5, n: 2}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -8*l. Let q(s) = s - 9*s + 2*s**2 + 8*s. Determine a(q(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-7 - -11) + (1 - 1). Suppose a = 41 + n. What is the greatest common divisor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the third derivative of x**4\/24 + 23*x**3\/6 - 30*x**2. Let f be y(-27). Let z = 1 + -1. What is the third biggest value in z, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 85329090 and 333.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 1540*y + 308037. Determine l(-200).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 3*m**3 - 17*m**2 + 5. Let k(w) = 19*w**2 - 27*w**2 - 140 + 423 - 140 - 140 + 2*w**3. What is -5*k(a) + 3*t(a)?\nAnswer: -a**3 - 11*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.11 times 0.53\nAnswer: 0.0583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*p**4 + 42*p**3 + 63*p**2 - 108*p.\nAnswer: 3*p*(p - 1)*(p + 3)*(p + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 1:28 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -1304*m**2 + m + 1. Let r(v) = -3*v - 2. Determine r(h(l)).\nAnswer: 3912*l**2 - 3*l - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 95\/3 or 5751823?\nAnswer: 5751823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**2 + 1 - 10*l + l**3 + 0 + 7*l + 5*l. Let r be b(2). Suppose 7 + r = 4*p. Solve -p*x = -t + 5, t = x - 0*x + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:50 PM and 1:50 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-9)\/(-4) + (-3)\/12. Suppose -h*m = 2*m - 12. Suppose -c - 14 = -3*l, l = -l + m*c + 14. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68 - 40 = 7*r. Suppose r*t + 10985 - 142309 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0.1, -4, 3\/5918, 0, 251?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*(g*g\/g**(-1\/9))\/g)**(-6\/17)\/(g\/(g*g**35)*g**(2\/11)\/g*g) assuming g is positive.\nAnswer: g**(19115\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/(-5) + (-3 - (-4569)\/15). Let v = -202 + h. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 39497356, 78994703, 118492050?\n\"Answer: 39497347*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -465*t**6 - 61*t**2 - 11.\nAnswer: -55800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -3*b - 5*a + 17, 2*b - 3*a = 34. Let q(m) = -3*m + 38. Let l be q(b). Suppose -5*t + l*f + 101 = -t, -20 = 4*f. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 4*p**2 - 2*p - 2. Let k be 3*(6\/9 + 0). Let c be n(k). Solve -c = -3*s - 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -302*m**2*u**2 + 2*m**2*u*v**2 + 2*m**2*v - 421*m*u**2*v**2 - 1950*m*v**2 - 2*u*v + 1 wrt u.\nAnswer: -604*m**2 - 842*m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 164088 - 164088 + 4*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/336 and -103\/40.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 1 = -8. Let n(v) = v**3 - v**2 - v + 8. Let y be n(0). Suppose l*p - 9*p + y = 0. Put p, 2, -2 in ascending order.\nAnswer: -2, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**3 - 6*f**2 + 5*f - 4. Let u be o(5). Let q = -2248.7 + 2249. What is the closest to -7\/6 in -4\/5, u, q?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04195785 rounded to 3 dps?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 109*b**5 + 11*b**4 - 893*b**3 + 12016*b**2 - b - 54.\nAnswer: 6540*b**2 + 264*b - 5358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1334027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 5  (b) -0.02  (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -13\/4, 4, -3\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4.02 - 4.4. Let v = b - 0.02. Let k = -3.01 - -2.01. Sort 2\/5, k, v in decreasing order.\nAnswer: 2\/5, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 310884 to the power of 1\/2, to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(52)\/(sqrt(16)\/(-2*sqrt(4))) + (sqrt(1573)*2 + 1 - sqrt(1573)))**2.\nAnswer: 18*sqrt(13) + 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -686*k + 609. Is o(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20255 (base 7) to base 13\nAnswer: -2330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes after 8:15 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 - (53 - 139)) + -61.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/119 in 8, 0.127, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and 137248.\nAnswer: -137248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 55, 1, -0.205, 11, -4?\nAnswer: -0.205","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 42 and 774?\nAnswer: 5418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 30 by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 667 is divided by 30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9094092ug to milligrams.\nAnswer: 0.0009094092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 21\/9 + (-4)\/(-6). Suppose 2*u - 6 = -3*p, -r*u + 9 = p - 3*p. Let x(b) = -3*b**3 - 6*b**2 + 3*b**3 + u + b**3 + 4*b. Determine x(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 - 2.7. Let j = 0.5 - x. Which is the third biggest value?  (a) 1\/4  (b) -2\/11  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -5 + 26 + 2 + -4 + -2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000000045943372 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -5927200 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 + 140\/(-44) - (-57)\/132. Let k(i) be the first derivative of j*i**4 - 1 + 7*i + 1\/2*i**2 - 1\/3*i**3. What is k(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7 and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -268419445*y**4 + 223121427.\nAnswer: -1073677780*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lul when three letters picked without replacement from xxxulxllxvxxyxxbxxxy.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*h + 142585 - 142585.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 179*w**2 + 3744*w - 333. Calculate c(-21).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3a - -65343?\nAnswer: 65382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-y + 0*y - 2*y)*(8543 - 8543 - 68*y**2) to the form m*y**3 + r*y**2 + q*y + z and give m.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from eecjeeeeeeue.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 371149305.\nAnswer: 3, 5, 71, 563, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 116 = -5*u + 115, -3*j + 5*u = 27 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -6*(-2 + (-688)\/(-12)). Calculate the remainder when c\/(-3) + 3 + 24\/(-9) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 888052 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: Calculate prob of picking 1 d and 2 u when three letters picked without replacement from uuuuuuuuuuduuuuuuuuu.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - -3 - (-8 - -9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1370 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4, -0.5, -28, 93, -8, 8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.11 minus 1391980?\nAnswer: -1391980.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 51970 less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from miwmmmmmmmmmmum?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 8, -0.3, -6\/5, 2\/9, 2, -4, 0.391?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 239*q + 2056. Let g(y) = 149*y + 1371. What is -8*g(l) + 5*k(l)?\nAnswer: 3*l - 688","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (356\/801)\/(14\/567)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -12, -30, -68, -132, -228, -362, -540, -768?\n\"Answer: -y**3 - 4*y**2 + y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/1434167 and -58\/2163.\nAnswer: 443157603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -23*w + 3. Let p(g) = -24*g + 3. Let x(k) = -4*d(k) + 3*p(k). What is the tens digit of x(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (6*(-23)\/552)\/((-1)\/8). Let t(u) be the first derivative of 35 + 12*u - 1\/5*u**5 + 10*u**h + 7\/3*u**3 - 1\/2*u**4. Factor t(d).\nAnswer: -(d - 3)*(d + 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -7*y**2 - 496*y + 82. What is c(-71)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2628045)\/(-206))\/(-243)*(-1 - 1\/(-5))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3103 + 13839 = 88*r. Solve 2*a - r = -112 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p - 12 - 3. Let l = -7 + 3. Put 3, l, p in ascending order.\nAnswer: l, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from iawhahhahahhhihhh.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2296946*h + 2604954?\nAnswer: 2296946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -3*c**2 - 2*c + 5. Let w(d) = -2*d**2 + d - 1. Let s(t) = -11*t**2 + 4*t - 3. Let p(r) = s(r) - 5*w(r). Calculate 3*i(f) - 8*p(f).\nAnswer: -f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -3*w**2. Let b(r) = 19060*r**2. Give b(a(i)).\nAnswer: 171540*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*i**3*x + 29360*i**3 - 5*i**2*x + 184*i*x wrt x?\nAnswer: 3*i**3 - 5*i**2 + 184*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 85099*r**3 - 41*r + 41*r.\nAnswer: 85099*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 4 - (-7 - -2 - (12 + -63 - -14))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 875460383 a multiple of 4935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000936 to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -45.00872321 + 0.00901321. Let t = -45 - f. What is t rounded to five decimal places?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1335893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 234596873*x**2 + 259890449*x wrt x.\nAnswer: 469193746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -9*f**2 - 19. Let t(j) = -265*j**2. Determine n(t(k)).\nAnswer: -632025*k**4 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.13 + -0.07. Let g = 65.2 - 65. What is the smallest value in 2, g, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2138536909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -76763852, -76763859, -76763870, -76763885?\n\"Answer: -2*w**2 - w - 76763849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 10841310?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00015418 to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -287 + 2*q**2 + 287 + 21*q.\nAnswer: 2*q**2 + 21*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 4*b = -15, 3*o - 4*b + 6*b + 3 = 0. Let t = o + 2. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14529 - 14532. Let y = -0.2 - -0.2. Let o = y - 0.1. Which is the third smallest value?  (a) o  (b) 1\/2  (c) 0  (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*r + 25*r = -1. Is r at most as big as -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 46*b - 6776. Calculate x(146).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-42*i - 35*i - i**3 - 141*i)*(5*i + 0*i - 4*i) + 2 - i**4 + 0*i**4 - i**4.\nAnswer: -3*i**4 - 218*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 8 = -2*r, -r - u + 16 = 19 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(3\/4)\/n**(-40)*(n\/((n\/n**(3\/11))\/n)*n)**(-18) assuming n is positive.\nAnswer: n**(-7\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sum -744 and 1231.468939712.\nAnswer: 487.468939712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*k**2 - 721*k + 14 + 44*k**2 + 719*k + (-k + k - k)*(-1 + k + 1) to t*k**2 + j + g*k and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6386 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u - 6 + 20. Calculate the remainder when (-8)\/1 - (64 - 96) is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 269744 by -1466.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/((k*k\/(k*k\/(k*k**(-1))*k))\/k))**49)**(-26) assuming k is positive.\nAnswer: k**(-3822)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (-17 + 21) - -25?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 410*l**2 + 2*l**5 + 2625*l**4 - 400*l - 164*l - 2625*l**4 wrt l?\nAnswer: 40*l**3 + 820","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes before 7:28 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 24 = -0*d - d, -4*d - 5*a + 66 = 0. Let y = 20 + d. Let o = y - 3. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/10)\/(((-480)\/25)\/(-8))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 - -11. Let z be o\/1 - 2\/(-2). Suppose z + 17 = 5*d. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 37 + 1 - (3 - 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**2 - 4*a + 11. Let v be u(9). Let n = 171 + v. What is the highest common divisor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5029901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 23, 10 in increasing order.\nAnswer: 4, 10, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 61282, 5, 3, -0.1, -2, 0.1 in ascending order.\nAnswer: -2, -0.1, 0.1, 3, 5, 61282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 57*o**2 - 2*o + 2. Let t(k) = -4675*k**2 + 165*k - 165. Suppose -596 = 90*h + 129*h + 79*h. Calculate h*t(c) - 165*q(c).\nAnswer: -55*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -965*b**2*g**3*v - 2*b**2*g**2*v**2 + b**2*v**2 - 7*b*v - g**3*v**2 - 3*g*v**2 - v wrt g.\nAnswer: -5790*b**2*v - 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30\/(-84))\/(10\/(-8)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 - -37. Suppose -i = -5*g + 28. Suppose 0*h + k = -5*h - g, -h = -k. Sort h, -3, -1 in descending order.\nAnswer: -1, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 1 o, and 2 z when four letters picked without replacement from {b: 1, o: 5, r: 4, z: 3}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8326, -16650, -24974, -33298?\nAnswer: -41622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3363\/7 or -481?\nAnswer: -481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4028262 by -3.\nAnswer: -1342754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 12*y - 5 + 2 + 71*y**2 - y**3 - 62*y**2 - 4. Determine a(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 188 is divided by 83.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -154055470 rounded to the nearest one million?\nAnswer: -154000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*v + 184*v - 26832 = -477*v + 4*v for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the first derivative of -4*l**4\/5 - 3308*l**3\/15 + 2078*l**2\/5 - 832*l\/5 + 126. Let b(d) = 0. What is d?\nAnswer: -208, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.028909941 rounded to 3 dps?\nAnswer: -4.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 7, 1, -5?\n\"Answer: -6*l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-57)\/21 - (-14)\/(-49). Let p = 8 + -15. Let j = p - s. Sort j, 5, 3.\nAnswer: j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 + 3. Let t be 6*(s - 9\/6). Solve 0 = l - 5*l - 4*q + 16, -t*q + 4 = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72 + b**3 - 3*b**3 - 114 + 53.\nAnswer: -2*b**3 - 133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 100, 408, 964, 1804, 2964, 4480, 6388?\nAnswer: 8724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -97 + 102. Let c(x) = -9 - 5*x**2 + x**3 - 5*x + x**2 + 1 + o*x**2. Let s be c(5). What is the highest common factor of s and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -427 (base 12) to base 3\nAnswer: -211111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1960*l - 3*l**2 + 108*l - 583*l + 25*l**2.\nAnswer: 22*l**2 - 2435*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 281.700004813 - 281.7. What is f rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*h + 21 = -11. Solve -h*l - 44 = 7*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*n**2 + 179*n + 1 + 2 - 179*n as m + x*n**2 + b*n and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5\/2926596  (b) 42  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*h - 258 = 65*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2346 + -1388. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(32\/6))\/((-18)\/(-144))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15720451391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -1 + sqrt(1200) + -2)**2*3 + -2 + 4 + -5.\nAnswer: 240*sqrt(3) + 3609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 + 6. Let k = 5 + o. Let z be 1\/(k + (-46)\/4). Sort -5, -4, z.\nAnswer: -5, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b4e (base 16) to base 6.\nAnswer: -21222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -y - 705384 + 705384.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = 10*p - 310. What are the prime factors of p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 (base 11) in base 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-69)\/(-138))\/((-11)\/198)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -976 + 974 - 172*w**2 + 724*w**2 + 397*w**2.\nAnswer: 949*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*w**5 - 32*w**4 + 48*w**3 + 116*w**2 - 50*w - 84 = 0. Calculate w.\nAnswer: -1, 1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 61957.95 hours in milliseconds?\nAnswer: 223048620000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -6*s**2 - 2105*s + 120 + 2057*s + 3*s**3 - 24 = 0.\nAnswer: -4, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.803 - -0.177. Let n = 0.02 + y. Sort n, -1\/8, 5\/2.\nAnswer: -1\/8, n, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.632224 + -0.1\nAnswer: -0.732224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36546.\nAnswer: 2, 3, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*h = 8*h - 3*c + 5, -h - c + 1 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 86 and 5203.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-30)\/1920*-16 + 106\/(-8) + 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -275 - -3255. Suppose 4*j - 2*j = -x. Round j to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 5*x**2 + 644*x + 150. Let j(g) = 4*g**2 + 645*g + 125. Determine 6*j(q) - 5*o(q).\nAnswer: -q**2 + 650*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = 3*s - 5*a - 0*a, -a + 5 = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2157192167?\nAnswer: 13, 37, 53, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 448, -63763, -4 in decreasing order.\nAnswer: 448, -4, -63763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(52)\/(sqrt(8)\/sqrt(2))*4.\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -384069 + -0.207.\nAnswer: -384069.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-6)\/4)\/(9*(-7)\/168). Let r be 2\/(((-15)\/(-50))\/3*y). Solve -r + 2 = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 + 20. Let j = 84 + -82. Suppose 6 = -j*c - c, -37 = -5*q + c. What is the highest common factor of q and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 371204419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes before 9:59 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes after 9:48 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 320 + -292. Suppose m*l - 9606 = -954. Is l a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the third derivative of -m**9\/1680 - m**8\/2240 - m**4\/12 - 5*m**3\/6 - 69*m**2. Let v(j) be the second derivative of d(j). Factor v(k).\nAnswer: -3*k**3*(3*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16292787221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 857.2 - 942.34. Let x = q - -85. Is 0.3 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 21163685 to the nearest integer?\nAnswer: 4600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 425*a**2. Let w(p) = 4*p + 42. What is f(w(c))?\nAnswer: 6800*c**2 + 142800*c + 749700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 47\/6 + ((-14)\/(-12) - 1). Suppose -76 = -11*w - b*w. Solve -w*v - 14 = -r - r, -r + 5*v + 13 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 68\/2 - 15*(-3)\/(-15). Let w = v - -68. Does 33 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 38745, -1708 in increasing order.\nAnswer: -1708, 4, 38745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v = 3*v, 5*m = 5*v - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 75 and 2355.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 25258 minus -0.915?\nAnswer: 25258.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -16 + 11*d**3 + 3*d + 3*d**2 + 0*d + 0 - 1. Let g(i) = 6 - 6*i**3 - i**2 + 2*i**3 - i + 0*i. Let j be -2 + 48\/4 + -4. What is j*s(o) + 17*g(o)?\nAnswer: -2*o**3 + o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*k + 63*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 - 4 - 6)*(57 - 2 - t + 30)*(-3*t + 5*t + 0*t) to the form f*t**2 + d + u*t and give f.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -2273, -2304, -2355, -2426, -2517?\n\"Answer: -10*r**2 - r - 2262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve n + 5*d - 289 = -3*n, 3*n - 3*d + 1181 = 1364 for n.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2452?\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 518843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/14 + (-21)\/(-98). Let m = 4.88 - -213.12. Let o = m + -218. Sort o, v, 20.\nAnswer: o, v, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2896 divided by -1\nAnswer: 2896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 49111751 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17637447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -25198 divided by -3\nAnswer: 25198\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22)\/8 + (-57521)\/(-21348)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 4*i - 14. Let t be w(10). Let l = 55 - 37. Let j be (2 - t)*(-42)\/l. What is the highest common divisor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u = 121*f - 119*f - 28, 3*u = -f - 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 50214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 340?  (a) 1\/3  (b) 1\/7  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -6, -8, -10, -12, -14, -16?\n\"Answer: -2*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 86, 87, 88?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -166612, -166615, -166620, -166627?\nAnswer: -166636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jykyyyyyjy. What is prob of picking 1 k and 2 y?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -141 + 201. Suppose 11*p = o + 6. Solve 0 = -u - u - p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (l**2 + l**2 + 0*l**2)*(-7 + 7 - 2)*(-3 - 2*l + 3) to the form z*l + a + r*l**2 + q*l**3 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 84 is divided by 73?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -378856 or -378893?\nAnswer: -378893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(49)\/sqrt(28)*-5 - (sqrt(567) - (5*(sqrt(567) + 0))**2).\nAnswer: -23*sqrt(7)\/2 + 14175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 46168.13 nanoseconds?\nAnswer: 0.00004616813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 2*m**2 - 92*m + 1152. Give x(27).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 26040619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -162 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -218*-4.\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 8 = f. Suppose 3*v - y + 13 = -2*v, f = -v + 2*y. Let h be v\/14 - (0 - 0). What is the smallest value in h, 1\/4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyuqy.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**3 + 13*r**2 + 14*r. Let d be n(14). Suppose 2*b + d = 4. Solve z - 4 = -b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -2*c**2 + 5*c + 6. Let l be j(-1). Let h = l + 4. Solve -4 = -2*g - h*x, g - 2*x - 2*x = 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**3 - 8*t**2 + 148*t + 961. What is a(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.599 take away -71093?\nAnswer: 71093.599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-73 - (3 + -36)) + 52?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 79133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -76 - 4. Let p = -15 - l. Suppose -h - h = -5*f + p, -2*f + 4*h = -42. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13 * -502\nAnswer: -6526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 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: Let w = 625 - 597. Let g(l) = -l**3 + 6*l**2 + l - 4. Let t be g(6). Suppose t*j - 32 = -2*j. What is the remainder when w is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2*q + 4. Let w(f) be the first derivative of 2*f**2 + 9*f - 31. Let b be (21\/6)\/(1\/(-2)). What is b*p(a) + 3*w(a)?\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 329, 3101, 10699, 25559, 50117?\n\"Answer: 406*p**3 - 23*p**2 - p - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**(2\/7)*k*k)**(2\/13)\/(((k*k**4\/k)\/k*k)\/((k*k**9*k)\/k)))**50)**(-1\/8) assuming k is positive.\nAnswer: k**(-7225\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -6*u + 3. Suppose -20 = 2*m - 0*m - u*g, 3*m + 3*g + 24 = 0. Calculate the remainder when 54 is divided by 4 - 2 - (m + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1145898*t**3 - 2359713*t**2.\nAnswer: 6875388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -6*m**3 - 40*m**2 - 88*m + 16. Let n be z(-4). Let j = -266 - -474. Calculate the greatest common divisor of n and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of -1\/3*k**3 - k**2 - 2*k - 87. What is l(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*n + 48 = 7*n. Let g(z) = 636*z**2 - z + 19. Is g(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11942*i**3 - 7*i - 285 wrt i.\nAnswer: 71652*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 588 + 508 = -3*k - 2. Is -364 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12212 = -644*u - 218*u + 1580 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.438445 to 1 dp.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -70 - -48 - -85 - 160?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4033, 8111, 12189, 16267?\nAnswer: 20345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 3*p - 1 = 3, 0 = 4*y + 5*p - 36. Suppose 2*d + 4 = 0, y*s + 1 - 11 = d. Let k = 11212 + -11216. Put -2, 5, s, k in decreasing order.\nAnswer: 5, s, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 40584*w**4 - 110112*w wrt w.\nAnswer: 487008*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4770960?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -65, -133, -203, -275, -349?\nAnswer: -425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**2 + 3*n. Let s be v(-4). Let j be (-9)\/12*1\/3. Which is the closest to -0.1?  (a) -1\/3  (b) j  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -l - 16, 3*a - l + 20 = l. Sort 2\/15, 1, a in ascending order.\nAnswer: a, 2\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -43206a (base 12) in base 6?\nAnswer: -34424214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00002767 rounded to six dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((-1 + sqrt(320) + -1 + sqrt(320) + (-1 + sqrt(320) - sqrt(320))*-2)**2 + (0 + -6*(sqrt(320) + 0 + sqrt(320)))**2)*5.\nAnswer: 947200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 157, 617, 1387, 2461, 3833, 5497?\n\"Answer: -a**3 + 161*a**2 - 16*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**3 + 3*w**2 - w + 4. Let r be m(-3). Suppose 3*s - 3*t + 6 = -0, 4*s - t - r = 0. Solve s*x = x + 5*h + 16, 2*h - 8 = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*t + 6, -5*t = 82*i - 83*i + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/((c\/(c*c**(-32)*c))\/c*c)*c*c**42*(c\/c**26)\/c**(-2\/25))**(7\/3) assuming c is positive.\nAnswer: c**(-2086\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*r + 21*r = -1290. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 54*m**4 + 2*m**2 - m - 21. Let w(q) = -162*q**4 - 7*q**2 + 4*q + 64. Let p(s) = -7*c(s) - 2*w(s). What is the second derivative of p(l) wrt l?\nAnswer: -648*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -61851, -61794, -61763, -61770, -61827, -61946, -62139, -62418?\nAnswer: -62795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 2508228, 2508210, 2508170, 2508102, 2508000?\n\"Answer: -w**3 - 5*w**2 + 4*w + 2508230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*n**2 - 4*n**2 + 7*n**2 + 2*n**2.\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2981)\/(-495) + -6)*10. Which is the smallest value?  (a) -188\/11  (b) -2\/5  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 7) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 139939 + -85460. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -15. Let s(g) = g - 16. Let w(i) = 4*q(i) - 3*s(i). Let a be w(-5). Suppose 0 = -a*r + 4*h + 126, -2*r + 9 + 75 = -4*h. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 + -4.9. Which is the smallest value?  (a) f  (b) 1\/9  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2*1*3\/(-2). Let s(z) = -6*z**2 - 8 + 0*z**i + 0*z - 3*z + 5*z + z**3. Is 4 a factor of s(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 9264.02421 to the nearest 10.\nAnswer: 9260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z - 2 + 5. Suppose -m + 0 = -2. Let c(t) = 3*t - 4*t + 2 + m*t. Let v(x) = -1. Determine z*c(s) + 4*v(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*10.8.\nAnswer: -43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, a: 11, o: 3}. Give prob of picking 1 s and 3 o.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -49051, -48726, -48183, -47422, -46443, -45246?\nAnswer: -43831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -4*n**3 + 2920*n**2 - 20284*n + 28920 = 0.\nAnswer: 2, 5, 723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3714889 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.2035 - 0.194. Let c = -43 - -43.4. Let o = c + v. What is o rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-19 - 5) + (16 - (-21 - -20)) + 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -6\/5, 0, -0.2, 18, -0.1?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(270)\/sqrt(90) + sqrt(27) + sqrt(27) + (sqrt(27) + sqrt(432))*-4)\/(sqrt(27)\/sqrt(3)*-3 + -1*sqrt(729)).\nAnswer: 53*sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-163569)\/(-14) - 27\/(-6)?\nAnswer: 2, 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -561*b - 87. Let z(s) = -2*s - 1. Let o(m) = -2*x(m) + 4*z(m). Differentiate o(i) with respect to i.\nAnswer: 1114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19796100 by -5.\nAnswer: -3959220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 118293, 236586, 354879, 473172, 591465?\n\"Answer: 118293*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*y + 2*i = 18*y + 392, -i = -3*y + 244. Which is smaller: y or 88?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -6*b**2 - 25*b - 5. Let x(f) = 5*f**2 + 20*f + 4. Let j(m) = 4*q(m) + 5*x(m). Let n(p) = p + 2*p - 6*p. Calculate n(j(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11 - -236. Let r = u + -225. Let k = 0.04 + 0.26. Put k, 0.1, r in increasing order.\nAnswer: r, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - x + 9 = 2*q, -6 = -3*q. Solve 3*o = x*d + 27, 2 = 2*d + 5*o - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2052904 divided by 94\nAnswer: -1026452\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -578, -559, -540, -521?\nAnswer: -502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2*-2 - (-2)\/(-1). What is the remainder when 31 is divided by ((-8)\/a)\/((-5)\/(-60))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 1 + 36 = 0. Let b be 0 - 2 - (2 - n). Suppose -j - a - 3*a = b, 0 = 4*j - 3*a - 7. What is the nearest to j in 5, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -408, -451, -494, -537?\n\"Answer: -43*a - 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from {o: 8, n: 2, u: 1, a: 1, q: 6}?\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-247*l - 505*l + 167*l)*(2*l - 7*l - 5*l)*(-3 - 2*l + 3) in the form p + j*l**3 + a*l + u*l**2 and give j.\nAnswer: -11700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10041444 and 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g\/g**(-2)))**(-42)*g**(-19)*g*g*g**(-14) assuming g is positive.\nAnswer: g**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -4*a**2 + 20*a - 5. Determine o(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p + 9*p - 4*c - 3312 = 0, -3*p + 4943 = -c. What are the prime factors of p?\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 305916 is divided by 302.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -3*k**2 + 37*k. Determine l(13).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 859 + -845. What is the biggest value in 5, -1\/3, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + 6 - (-5 - -4) - 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1300) - ((sqrt(1300) - (sqrt(1300) + -1)) + 3) - (((sqrt(13) + 0)*2)**2 + 5).\nAnswer: -61 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 2 - 4 + 60818*n - 61844*n.\nAnswer: -1026*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vwv when three letters picked without replacement from vvvvvwwvvvvvvvwvvw?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(2\/7))**(-1\/13)*f**(4\/7)*f**(8\/5)*f assuming f is positive.\nAnswer: f**(1433\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -51.81 - -59.81. What is the fourth smallest value in 4.3, -2, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 + (-11 - -3) + -36?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/4 + (-28)\/8. Let s = -15 - -9. Let v = u - s. Which is smaller: 3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*r + 855 = 767 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4033045 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -25.3 + 25. Let l = s + 0.300044. Round l to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/6*9\/39. Let g = -2 - 0. Do g and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1282 divide 43381598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 399847.\nAnswer: 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -6226793 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2436 - -2435.99997922. Round p to 7 decimal places.\nAnswer: -0.0000208","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 133405 + -133402. Let 0 + 22\/9*f + 8\/3*f**2 + 2\/9*f**q = 0. Calculate f.\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gxxgxxhlwgw. Give prob of picking 2 g.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 89\/364 and -137\/1404.\nAnswer: 9828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 396 and 75936330.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from vvvpvvvvvp.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*s + 19934 = 19844 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 20*n**2 + 2*n. Let f be b(3). Suppose -f = -5*d + 2*a, 3*d + 36 = -4*a + 132. Calculate the highest common factor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) -0.18  (b) -2\/7  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h*h\/(h*h**(-1\/4)*h))\/h)**(-1\/21) assuming h is positive.\nAnswer: h**(-1\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -2*l. Let f(p) = -15*p + 186. Let i(x) = 33*x - 371. Let c(k) = 9*f(k) + 4*i(k). What is c(h(z))?\nAnswer: 6*z + 190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 4, n: 7, o: 2}. What is prob of picking 2 n?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5, 4, -43, -3, -635, 1.\nAnswer: -635, -43, -5, -3, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 58601057, 58601060, 58601063, 58601066?\nAnswer: 58601069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 2*m - 6. Let f be w(4). Suppose 2 = -f*u + 4*u. Let p be (u\/2)\/((-3)\/(-12)). Solve 0 = h + 4*a + 4, h - p*a - 16 = -2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 930549484 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10518 is divided by 3503?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + 53 - 51. List the prime factors of (-3)\/j*196\/(-3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 146951750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2246 + 11266\/5. Find the common denominator of -6 - ((-192)\/34 + 1) and j.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-19)\/(-10*2\/(-44)). Let u = 1483\/35 + n. Let 2\/7*q**2 - 6\/7*q + u = 0. What is q?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-240)\/(-400)*(-520)\/(-18) and ((-61)\/(-4))\/(18\/(-8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*a = -13*a + 378. What is the highest common divisor of a and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 16531.05485.\nAnswer: 16532.05485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes before 6:23 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000002034090426 to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1*6\/15*-5. Which is the closest to w?  (a) 0.3  (b) -5  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 228 divided by 566\nAnswer: 114\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 177*p**2 + 728*p**3 - 735*p**3 - 177*p**2.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ebearremeabeaem. What is prob of sequence ar?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/5 of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + (-2 - 5) - (76\/80)\/19?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2 + (-16)\/(-4) + 1. Solve -2*z - 5*u + 24 = 0, 4*z - a*u - u = -8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 52925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 + 1. Let s be (-15)\/(-6) + c\/(-8). Solve -o - 16 = 3*w, -s*w - 36 = 5*o + 2*w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 0*r = -2*u - 88, -4*u - 169 = 3*r. Let y(p) = -14*p + 9. Let k be y(6). Let h = u - k. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -5, -860, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 1457*n**2 - 50*n + 52. What is the thousands digit of l(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 0*i + 2*v + 7 = 0, 5*v + 1 = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/11  (b) -12.27072  (c) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10774217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.0842 + -0.1842. Is -2\/295 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 11*s - 5. Determine c(4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 33402544.2 rounded to the nearest ten thousand?\nAnswer: 33400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the third derivative of o**5\/140 - o**4\/56 - o**3\/7 - 3*o**2. Factor b(v).\nAnswer: 3*(v - 2)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y = 4*g - 1 - 7, -5*y + 2*g - 30 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -125.22 - -2.54. Round f to the nearest integer.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1864 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1205 + 1207. Let x be 2\/(-4) + (-10)\/4. Put 5, w, x in decreasing order.\nAnswer: 5, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-1*sqrt(70) - sqrt(70)) - -3*sqrt(70)*1)\/(sqrt(10) - (4*sqrt(640) + sqrt(640)) - (sqrt(250) - (sqrt(250) - sqrt(250)*1))).\nAnswer: 9*sqrt(7)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4220 + 11.3?\nAnswer: -4208.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*q - 58 + 76 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -293*i. Suppose -u - 4 = 0, u - 1 = 2*j - 3. Is h(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.8 - 5.9. Let i = 9.2 + z. Let d = -6 + i. Which is smaller: -1\/4 or d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in seventy-two fifths of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 119 + -143. Let s(j) = -j**3 - 20*j**2 + 30*j - 68. Let g be s(t). Suppose -3*y - g = 884. Round y to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 140936 is divided by 162?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-8 + (-68)\/(-10))\/(6\/20). Put 5, 12, 11, w in decreasing order.\nAnswer: 12, 11, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(((-2)\/(-2))\/5). Suppose -2*v - 5*p + 6 + 29 = 0, -2*v = -2*p. Solve -v*d = -2*q - w, -d + 2*q - 22 = -4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-340 - -348) + 15 + -2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:28 PM and 2:21 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwslls. What is prob of picking 2 w?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**2 - 11*p + 788. Let m be z(-34). What is the smallest value in m, -0.112, 3?\nAnswer: -0.112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -553940 (base 11) to base 4\nAnswer: -3113232002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 8) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**2 - 29*a - 68. Let v be k(-24). Is 52 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 407*x - 205*x + 3698*x**2 - 202*x + 1117*x**2 + (-4*x + 2*x + 0*x)*(2*x - 3*x - 2*x) + 2*x**2 - x**2 - 2*x**2 to the form a + o*x + k*x**2 and give k.\nAnswer: 4820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 157 is divided by 65?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes after 12:25 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8770 = 16*j - 11*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z**3 - 4*z**2 + 20. Let w be h(4). What is the greatest common divisor of 8 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6746245 and 10120?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000627 rounded to 6 decimal places?\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (17*h**3 - 6 + 6)*(0*h - 3*h + 5*h) to a*h + k*h**4 + q*h**3 + z + i*h**2 and give k.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z**(-1\/7)*z)\/z)\/(z*z**(-1\/5)*z))\/(z\/z**(-5))**(-2\/5) assuming z is positive.\nAnswer: z**(51\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 12912?\nAnswer: 12912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*w*w**(-4\/11)*w*(w\/(w**8*w))\/w*w assuming w is positive.\nAnswer: w**(-59\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1557 - 783 + a - 745.\nAnswer: a + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -24, -3, 1\/7, -2, 7.\nAnswer: -24, -3, -2, 1\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 67\/5 of a century in months?\nAnswer: 16080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-9)*h)**14\/(h\/(h\/(h\/(h*h\/h**(-1\/2))))*h)**(1\/25) assuming h is positive.\nAnswer: h**(-5599\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 92020 and 7490?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, 3, 138, 3\/11, 3\/5?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17251614*o**3*u**2 - 150979*o**2*u - 9*u**2 wrt o?\nAnswer: -103509684*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/17 in -0.3, 0.06, 8\/9, -151?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 222 - 483.2\nAnswer: -261.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1476 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1575)*1)\/(sqrt(9) - 1*sqrt(441)).\nAnswer: -5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 33244900 or 33244899?\nAnswer: 33244899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 41, 99, 177, 281, 417, 591, 809?\nAnswer: 1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**3 - k**2 + 2*k - 4. Let p be x(3). Suppose -j + 2*h = -5, 0 = 5*h - 6*h - 3. Let s be j - (-4 - 6\/6). Solve p = -0*b - s*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from ippisiis?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 624  (b) 3  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.5 times 0.31?\nAnswer: 3.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**2 - 40*x + 6. Let n be u(-27). What is the highest common factor of 147 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*j = 25*j + 343 + 305 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18086\/6671 + 3\/953. Let r = -9 - -9.1. Is s != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3*((-10)\/3 - -4). Let b be (-304)\/(-57)*3\/u. Suppose -13*a = -b*a - 70. Calculate the remainder when a is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 10172261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 1\/92263970?\nAnswer: 1\/92263970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1840  (b) 0.051  (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 39 - 74. Let s be 6\/21 - 60\/p. Solve -2*c + 12 = -4*d, 7 = -s*c - d + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1\/1227 - -17859\/818. Let p = 2153\/15 + -1647\/10. Find the common denominator of p and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.0693671043398 and 2?\nAnswer: 1.9306328956602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2, 17, 0.07, -189, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes after 8:17 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000009284 to 7 dps.\nAnswer: -0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*z - 120*z - 32*z + 3459456 = 0. List the prime factors of z.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o + 1 = -0, 7*o + 13*o - 24*o + 9*o + 7 = -d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*h - 4*h**4 - 2*h - 6*h - 37 - 58 + 5*h**4 wrt h?\nAnswer: 4*h**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sfeefufuevffuusuf. What is prob of sequence fv?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -163*g + 137. Calculate the remainder when k(-4) is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 5*x - 28 = 0. Solve 1 - x = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6.5 - -1.5. Let p = 22 + m. Let x = 24.2 - p. What is x rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 155 - 25. Let a = i + -91. Let g = a + 30. Calculate the remainder when 8 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2659400440 to the nearest integer?\nAnswer: 51569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 9*d**2 + 163. Let m(q) = 2*q**2. What is u(m(o))?\nAnswer: 36*o**4 + 163","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 45\/2782 and 81\/2236.\nAnswer: 239252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q + 14. Let t be j(-6). Let b(z) = -z**3 + 10*z**2 - 14*z + 18. What is the tens digit of b(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -17*t**2 - t + t. Let k(c) = -c - 5. Let f = 109 - 104. Let u(n) = 2. Let d(r) = f*u(r) + 2*k(r). Give d(m(v)).\nAnswer: 34*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1387957450?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 636990.5 millennia in decades?\nAnswer: 63699050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 17*t**4 + 555*t**3 + 873*t**2 + 149*t - 186 = 0?\nAnswer: -31, -1, 6\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(-12) + (-1)\/(-3). Suppose -2*o - 3*o = z. Suppose 3*h = -o*h. Is h greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from {i: 4, a: 2, m: 1, s: 1, d: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 186528 = -3*b, 36*i - 37320 = 35*i - b. What are the prime factors of i?\nAnswer: 3, 12437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -6*r. Let j(k) = -46*k + 356. Determine n(j(l)).\nAnswer: 276*l - 2136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-32)\/48 - (-1141)\/(-3). What are the prime factors of g\/(-9) + (-4)\/12?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = -q + 2*y, -6*q - 9*y + 12*y = 9 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 13b (base 15) in base 13?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4089283.\nAnswer: 11, 89, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the first derivative of 0*r + 2\/3*r**3 + 0*r**2 + 3. Let b(t) = -19*t. Let n(m) = 13*m. Let g(v) = -2*b(v) - 3*n(v). Give x(g(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8907266.\nAnswer: 2, 787, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -3*t, 4*t = -2*u + 3*t - 6. Let o be u + 0\/1 + 2. Solve v + q - 2 = -o, 5*v - 24 = 2*q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 130129 and 1554?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1123020 (base 4) to base 15.\nAnswer: -1adc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 832805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -8*o. Let v(n) = 3*n**2 + 360600. Calculate j(v(i)).\nAnswer: -24*i**2 - 2884800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2718*x - 601*x - 2567*x**2 + 360*x - 245*x**2 wrt x?\nAnswer: -5624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 56 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 5514*i + 3. Let x(p) = 2*p. What is x(u(j))?\nAnswer: 11028*j + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 181936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**2 + 10*o + 26. Let h be n(9). Calculate the greatest common divisor of h and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 2*g**3 + 2*g**2 - 7*g + 5. Let c(y) = 2*y**3 + 2*y**2 - 8*y + 6. Suppose 8*p - 6*p - 12 = 0. Determine p*m(a) - 5*c(a).\nAnswer: 2*a**3 + 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2834016 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k - 3*k + 4*k + 3 - k. Let q be c(-2). Let m = -2 - -3. Calculate the highest common factor of m and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1580259?\nAnswer: 3, 199, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 14257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -759 (base 10) to base 16.\nAnswer: -2f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.193 - 0.287. Let r = 169.564 - 169. Let p = b + r. What is p rounded to two decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 158\/70 + -6 + 4. Let l = 37\/35 - h. Let t = 80 + -81. Which is the nearest to -1?  (a) -5\/3  (b) t  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -159*f**2 - 1204*f - 21. Calculate u(-8).\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 228 and 519688.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 178419413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -48*l**3 - 5*l**2 + 19*l + 66. Let c(i) = 24*i**3 + 2*i**2 - 8*i - 33. What is 5*c(n) + 2*p(n)?\nAnswer: 24*n**3 - 2*n - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 at least -208\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 899*d + 6786. Let p(v) = 17*v + 128. Let a(l) = 319*p(l) - 6*y(l). Differentiate a(t) wrt t.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -1, 8, -174, 3.\nAnswer: -174, -8, -1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 689*q + 9625 = -4844 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 308924640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000147319237 to 7 dps.\nAnswer: -0.0001473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4 + -1265?\nAnswer: -1269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 81793610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -81 + 5432?\nAnswer: 5361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-26)\/(-6) - 8\/24. Suppose 5*p + 76 + 6 = 3*k, 0 = -3*k - r*p + 64. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 20359 - 9176. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes before 8:09 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1.3 * -0.736\nAnswer: -0.9568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4383*g**2 - 145 + 11*g + 961*g**2 - 35 wrt g.\nAnswer: -6844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 2 f when three letters picked without replacement from {f: 3, g: 3, a: 1, p: 2, d: 8, x: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 65258 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 - 6. Let c(k) = -k - 4. Let z be c(i). Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1076684 or 1076686?\nAnswer: 1076684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 44 = -y + u, -231 = -5*y - 4*u. What is the remainder when y is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 72 = 4*j, -4*j + 0*q + 72 = -3*q. Suppose -2 - j = 5*y. List the prime factors of ((-12)\/9)\/(y\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 765256 by -2.\nAnswer: -382628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8675 + 8860. Solve -13*j = -120 + u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 18*v - 6. Let o(x) = -37*x + 14. Determine 7*g(r) + 3*o(r).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 40133 + 4?\nAnswer: 40142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 199, 401, 603, 805, 1007?\n\"Answer: 202*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(-1\/8))\/x**(-13) assuming x is positive.\nAnswer: x**(113\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/(-30) + (-19)\/(-5). Let x = 1 + v. Suppose x*t - 316 = t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -8, -16, 2, 76 in decreasing order.\nAnswer: 76, 3, 2, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) -3  (b) -0.3  (c) -1\/5  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-180)\/(-36) + (-51)\/48*106. Let q = 169619\/1576 + w. Is q < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 18*q - 2 - 13*q + 37*q + 10.\nAnswer: 6*q + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2*2\/4 + 13. Suppose -d*b = -9*b - 20. Solve -4*l - 5*j + 12 = 47, b*l + 2*j = -26 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -125*f**3*k**2 - f**3 - f**2*k + 222*f**2 + f*k**2 - 6*f*k + 57415*k**2 + 2 wrt f.\nAnswer: -750*f*k**2 - 6*f - 2*k + 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6718873*c*u**2 - 549*c*u + 287*c + 6*u**5 + 126*u + 1 wrt u.\nAnswer: -13437746*c + 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -61.76 - 20787185.\nAnswer: -20787246.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70059464.\nAnswer: 2, 173, 223, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(-1\/6))**0\/(v\/((v\/(v*v**(-4\/3)))\/v))**(-41) assuming v is positive.\nAnswer: v**(82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u\/(u*u*u\/(u*u*u\/(u**(-22)*u)*u*u))))**(-2)\/(u**(-2\/51)*u**(-14\/5)) assuming u is positive.\nAnswer: u**(12454\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 3*m + 1 - 5 = 0, -5*y + 1 = -2*m. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 206968250 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(637) + -1 + 1)*-3*4.\nAnswer: -84*sqrt(13) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3486.499877487 + 3486.5. What is n rounded to 5 dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -5*24\/(-20) + -1. Suppose 8*z = p*z + 15. What are the prime factors of 5\/(z\/6)*70\/4?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 + 3*k**2 + 3. Let m be 2 - -3*10\/(-6). Let c be y(m). Let l be 6 - c - 503\/1. Round l to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the first derivative of 2*o**5\/25 + 11*o**4\/10 - 2*o**3\/15 - 11*o**2\/5 + 4924. Factor b(w).\nAnswer: 2*w*(w - 1)*(w + 1)*(w + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1011 + -10?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.7 - 18.7. Let i(a) = a**3 + 6*a**2 + 4*a - 7. Let j be i(-5). Let g = -134791\/5 - -26958. Put p, g, 0.1, j in decreasing order.\nAnswer: 0.1, g, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**2 - u + 3. Let p be n(-3). Let b be (-6)\/(-4)*(-2)\/p. What is the remainder when 13 is divided by 5 + ((-2)\/(-2) - b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3778380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that 192\/5 - 4*s - 2\/5*s**2 = 0.\nAnswer: -16, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/3*(-10)\/35*2367\/(-2893)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 divided by 2797.\nAnswer: -8\/2797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -72966152 minus 880?\nAnswer: -72967032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**3 - 2*w**2 - 3*w + 9. Let j be c(6). Let u = j + -35. Suppose -5*g = -u - 110. What is the remainder when g is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -17*m + m**4 + 0*m**4 + 16*m + 3*m + 2*m**3 - 1 + 0*m**4 + 8*m**2 as k*m**3 + b*m + z + y*m**2 + t*m**4 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14 + 17. Let t(s) = s - 5. Let z be t(h). Find the common denominator of -51\/10 and 1015\/(-180) - z\/8.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*v + v - 2*v + (1 + 0 + 0)*(-1 + 37 + 20)*(v - 2 + 2) to x + w*v and give w.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5.1 + 129.9. Let m = 135.12992 - c. Let l = -0.13 + m. Round l to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 33516797?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 13111 >= 13109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 4 - 2*n - 142 - 6.\nAnswer: -2*n - 156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*c**4 + 586*c**3\/5 + 316*c**2\/5 - 328*c\/5 + 48\/5 = 0. Calculate c.\nAnswer: -2, 1\/5, 6\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in f**2 + 3 + 2*f**2 - 3.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 101771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4222347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1889 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*j + 5*h + 31 + 5, 0 = 4*j + 4*h + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20023, 39924, 59727, 79444, 99087, 118668?\nAnswer: 138199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 3*t. Let w(g) = 5*g - 2*g - 3*g - 3*g. Calculate a(w(i)).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a day in seconds?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - (13 - 29) - 37.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1395.6 and 96573198.\nAnswer: 96571802.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 85.53776 millilitres in litres?\nAnswer: 0.08553776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -32*d + 26*d**3 + 32*d + (-2*d - 1 + 1)*(-d**2 + 0*d**2 - d**2) in the form y + j*d**3 + b*d + t*d**2 and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -5955, -6864, -7759, -8640?\n\"Answer: 7*a**2 - 930*a - 5032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, h: 3, p: 4, i: 2, f: 2}. Give prob of sequence ghi.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) 4  (c) 17  (d) -5\/4  (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:17 PM and 10:20 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7933?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 - (-2 - (23 - 10)) - 56.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -8*x + 2*x**2 - 4*x**2 + 7*x. Let y be l(-1). Is (45 + 2)\/(2 + y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -328 - 78*d**2 + 328 - 2*d**2 + 0*d**2 + 3*d**2 + (0 - d + 0)*(-d + 0*d + 3*d).\nAnswer: -79*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 26*g + 62*g - 21542 + 16702 for g.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 3) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 6*o - 2. Let z(y) = 11*y - 9. Let g(x) = 32*x - 26. Let a(r) = 6*g(r) - 17*z(r). Let p(d) = -7*a(d) + 6*h(d). Determine p(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v**4 + v**2 - v**2)*(4 - 4 - 8)*(-2 - 1 + 5).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1375*f**5 + 726*f**2.\nAnswer: 82500*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dmmeeemdmseseedemee. What is prob of picking 1 s and 2 e?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 3*j**3 - 3*j**2 + 4*j + 2. Let v(q) = -3*q - 3. Let n(t) = -10*t - 10. Let c(y) = n(y) - 3*v(y). What is -2*c(d) - o(d)?\nAnswer: -3*d**3 + 3*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 668228 is divided by 147?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the third derivative of 31 + v**2 - 1\/15*v**4 + 1\/100*v**5 + 0*v - 1\/1050*v**7 + 2\/15*v**3 + 1\/300*v**6. Suppose h(n) = 0. What is n?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4903771369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8512*g - 2 - 8512*g + 30*g**4 + (48 - 75 + 47 + g**2)*(2*g**2 + 0*g**2 - 3*g**2).\nAnswer: 29*g**4 - 20*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -956*y = 13339 + 14385 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3*8\/108)\/((-35)\/315)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 131 + (-652 - -492)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -5*k + 7 + 4*k**3 - 2*k + 0*k**3. Suppose -23 = -5*a - 95*w + 94*w, 0 = 3*a - 4*w. Does 47 divide l(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.0242 and 23331.\nAnswer: -564.6102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-855)\/(-20))\/((-4920)\/(-13120)).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -18063 or -18061?\nAnswer: -18063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 3\/5, 2, 9, 1\/3, 0.0545, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 71364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.008545655 to 4 dps.\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 w when two letters picked without replacement from qgqgwwqg.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wee. Give prob of sequence ee.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 136 divide 11705856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 3*i - 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2244*d + 1854 = 75906 for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -22*g + 23*g - 43. What is the remainder when 168 is divided by g?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 100\/50*(-6)\/8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the third derivative of 6*a**2 - 7\/54*a**4 + 0*a**3 + 0 + 1\/540*a**6 + 14*a - 1\/54*a**5. Factor z(s).\nAnswer: 2*s*(s - 7)*(s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -113\/40 and 13\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 157 is divided by 86?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 25718631 to the power of 1\/2, to the nearest integer?\nAnswer: 5071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**2 + 10*q - 6. Let v be l(-9). Let j be (-5)\/(-2) - v\/30. Solve -s - 1 = j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.2 + -10.8. Let k = f + 10. Which is the smallest value?  (a) -0.1  (b) k  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 7*s**3 + 6*s**2 + 6*s + 6. Let b(u) = 11*u + 4*u + 7*u**2 + 8*u**3 + 7 - 8*u. Let w = 5 + 26. Suppose -3 + w = 4*d. Determine d*m(o) - 6*b(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes before 7:07 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mt when two letters picked without replacement from tttbmtbttt?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*i**3 + 2 - 3 + 19*i**3 + 22*i**3.\nAnswer: 8*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 65, 145, 239, 353, 493, 665, 875, 1129?\n\"Answer: d**3 + d**2 + 70*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 - 47?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -6*v**3 - 3*v**2 + 2*v - 1. What is f(2)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 163 (base 16) to base 9.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 230 divide 2896620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18f08 (base 16) to base 11.\nAnswer: 6a826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i + 1. Let t(d) = -10. Calculate k(u) - t(u).\nAnswer: -u + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - -9) + 170\/(-25)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the third derivative of -y**6\/120 - y**5\/10 - y**4\/24 + y**3\/2 - 14*y**2. Let z be m(-6). Suppose -n = -z + 6. Solve -10 = n*f + 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -3*v - 3. Let i be r(-2). Suppose -7*a = -i*a - 120. Suppose t - 5*w - 28 = 0, 2*t = -t - 3*w + a. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**3 + 10*r**2 + 88*r + 875. What is w(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 2 j when three letters picked without replacement from {q: 1, n: 1, z: 1, i: 1, u: 8, j: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 169560.03 months?\nAnswer: 14130.0025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the third derivative of r**6\/420 + 13*r**5\/35 + 629*r**4\/84 + 184*r**3\/7 - 7*r**2 + 129*r. Solve q(z) = 0.\nAnswer: -69, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13082 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 f(c) = -267 - 10*c**2 + 267. Let k(q) = -8*q**2 + 5*q**2 + 5*q**2. What is k(f(j))?\nAnswer: 200*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 37.33806 millennia in centuries?\nAnswer: 373.3806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17248, -69001, -155256, -276013, -431272, -621033?\nAnswer: -845296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 454.\nAnswer: 5\/454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v + 2*t - 245, 0 = -4*v - 2*t + 285 + 45. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 6*l = -3*p, -5*l - p = -20. Calculate the least common multiple of l and (-2)\/(-6)*-2*-12.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 609221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 306*a**3 + 288*a**3 - 131*a**3 + 353*a**3.\nAnswer: 816*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10743*r**2 + 5372*r**2 + 5371*r**2 - 7*r**3.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-60)\/24*8\/25. What is the biggest value in p, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(5*sqrt(640) + sqrt(1440)*2))\/(sqrt(288)*-3 + sqrt(128)\/sqrt(4))*1.\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -14*i - 2. Let a be w(-7). Suppose 25*q - 23*q - a = 0. What is the greatest common factor of q and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -826*c - 180523 = -863*c. Calculate the highest common factor of 82 and c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1557 + -1556.99998463. What is g rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 599153, 599894, 601907, 605828, 612293?\n\"Answer: 106*t**3 - t + 599048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/28)\/((-318)\/(-1908))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**2\/j*j\/(j**(-4)\/j*j))**(2\/175) assuming j is positive.\nAnswer: j**(12\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve l + 8 = -4*r, 5*r = 4*r - 4*l - 17 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 2*o + 5*w - 277 = 0, -4*w - 512 = -2*o. Suppose -7*u - o = -2*g - 3*u, 0 = -4*g - 2*u + 534. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 2*j**2 + j + 1. Let z be p(-1). Suppose z*q + 22 = 3*s, 3 - 5 = -s. Let c = q + 11. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) -5123\/3  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 494 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 2*o - 4. Let v(c) = -3*c + 6. Let z(w) = 5*m(w) + 3*v(w). Let y(d) = 1. Let a(p) = -3. Let t(r) = -a(r) - 2*y(r). Calculate -3*t(u) - z(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes before 8:04 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, a: 6, q: 1, u: 2, l: 1, z: 5}. Give prob of picking 1 t and 1 l.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -q - 7. Let z be q\/(-10) + 1\/(-1). Let l = 6.6918 - 6.7918. What is the closest to z in 0.2, l, 0.09?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9 and 21239.\nAnswer: 191151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (71\/(-213))\/((-2)\/48).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -164 + -1?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 24 + 191597?\nAnswer: 191621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 72.391 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-6)\/(-6))\/(1\/17). Let h = o - 1. Let a = h + 7. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2\/583  (b) -0.04703  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 3*j. Suppose 21 = 3*d + 3*c, 2*d + 0*c - 19 = -3*c. Let y(i) = -d*i**2 + 2*i - 2*i + 3*i**2. Determine y(v(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 55 and -1.3.\nAnswer: -71.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 4 = 23. Let r = q + 42. Solve -4*b + b = -r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35.2984155 rounded to three dps?\nAnswer: 35.298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5767333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -85 + 61 + 6*p**3 + 42 + 7*p**3 - 2*p**3 - 2*p**4 in the form s*p + v*p**2 + y*p**4 + o + f*p**3 and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -690*k - 94443. Calculate m(-137).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 159 + -157. What is the highest common divisor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from yomyyoybmom.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 14\/(0 + 1) + 0. Let w = -87 - -37. Let o = w + 52. Calculate the highest common factor of o and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -471 - -667. Calculate the common denominator of j\/(-80) + (-2 - (4 + -5)) and -125\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2483 divided by 13?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1178079011 to 4 decimal places.\nAnswer: -0.1178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**2 - 1090152*c + 15262716.\nAnswer: -3*(c - 14)*(c + 363398)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 2727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 4) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60131*l + 0*l**2 + 0*l**2 - 17058*l**3 + 13850*l**3 - 60131*l.\nAnswer: -3208*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.21?  (a) 1  (b) 0.1  (c) 1\/22  (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 - 1)*(5 - 16 - 4)*(-p - 3 + 3).\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u**3\/4 - 289*u**2\/4 - 20735*u\/4 + 21025\/4 = 0.\nAnswer: -145, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 602 is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 8*531\/3168 - 12\/11. Let p = -0.1 + 0.1. Let t = p + -0.2. What is the nearest to t in 2\/3, -2\/7, v?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:41 AM and 9:09 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -63440 divided by 6.\nAnswer: -31720\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1124494 + 26)*(75\/9)\/(-5). Round t to the nearest ten thousand.\nAnswer: -1870000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**4 - 3 + 3)*(-2*q - 5*q + 3*q) + (-3*q**4 - 3*q**4 + 5*q**4)*(3*q - 2*q + 0*q).\nAnswer: -5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 - 30?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + 0.12. Let m = 0.21 - w. Let c = -0.0858 + m. Round c to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 - -0.1. Let m = 11 - 5. Let o = -6.4 + m. What is the third biggest value in u, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(117) + 2*sqrt(117)*-3)\/((2*sqrt(81))\/sqrt(9) + sqrt(9)))**2.\nAnswer: 325\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - 0. Let q = 851 - 849.6. Put -3\/4, q, h in ascending order.\nAnswer: -3\/4, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c**4 - 1209*c**3 - 47766*c**2 + 2006472*c = 0.\nAnswer: -59, 0, 26, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 1236, -4, 4, -5 in decreasing order.\nAnswer: 1236, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.08277*0.0419.\nAnswer: -0.003468063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -3*d + 1. Let s be x(-1). List the prime factors of 3\/(s + -1)*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36)\/((8142\/115)\/(-59))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.181677 centimeters in nanometers?\nAnswer: 81816770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-114)\/95)\/(21\/20).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 187.43 + -177.93. What is the second biggest value in x, 2\/11, 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 26182 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -352 = -4*f + 80. Let l = -68 + f. Calculate the highest common factor of 16 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7895 is divided by 1575?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -1\/6*q**4 - 1\/6*q**3 + 0*q + 0 + 1\/3*q**2 = 0. What is q?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-2))**(-1\/2)\/(g\/(g\/g**(-13)*g))**(-13) assuming g is positive.\nAnswer: g**(-181)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 318 divided by 827.\nAnswer: 318\/827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (((-4716)\/(-10))\/1)\/((-1196)\/(-2990)) is divided by 292.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 4*z - 2*z = 0. Let d(t) = 14*t**3 - 7*t**3 + z - 8*t**3 - 2 + 3*t. Let j be d(-2). Solve -u + 1 = -j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14119950*c**3 + 19924170*c**2?\nAnswer: -84719700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 40 and 660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the third derivative of 824*o**5\/15 + o**4\/24 - 31*o**3\/2 - 10*o**2 + 63. Find the second derivative of d(u) wrt u.\nAnswer: 6592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*r - 27*r + 7*r + 12*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8661928 by 44.\nAnswer: -196862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence prv when three letters picked without replacement from {v: 2, p: 1, f: 7, r: 4, m: 3}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = u + 6. Which is the nearest to 0.1?  (a) 2  (b) u  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*sqrt(99)*2)\/(6*(sqrt(9) - 4*sqrt(9))))**2.\nAnswer: 275\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 851 divide 676703286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 453 + -469. What is the closest to -1 in s, -5, -9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**3\/2 + 51*g**2 - 96*g.\nAnswer: -3*g*(g - 32)*(g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4*w**2*z**3 - 6461*w*z**3 - 310064*z**3 wrt w?\nAnswer: 8*w*z**3 - 6461*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6904*k + 79519 + 66574 = 21821 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 221679936.\nAnswer: 2, 3, 128287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7 + 8?\nAnswer: f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/(-1)*((-29545)\/(-10))\/(-311)\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(324)*5 - sqrt(36))\/((sqrt(84)*2)\/sqrt(7)).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 0.3, 2\/7, 0, -1, -0.03?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-36)\/(-16) + 756\/(-504).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-851)\/(177859\/(-13794))*2*(-1)\/(-4)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -8117, -16229, -24341, -32453?\n\"Answer: -8112*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the second derivative of -c**7\/84 + c**6\/30 + 3*c**5\/40 - c**4\/6 - c**3\/3 + c + 24. Find s, given that t(s) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*g - 8*g = 6*g. Calculate the remainder when (g + (-24)\/(-20))\/((-1)\/(-15)) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 - 7. Suppose z = q + 2*q. Calculate the common denominator of 23*(-1)\/7 - q and 59\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the second derivative of n**5\/10 + 5*n**4\/12 + n**2\/2 - 25158*n. Let u be 6\/((-2)\/1) - 1. What is m(u)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes before 2:52 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s. Let b be z(1). Let x be ((9 - 2) + -2)*b. Let p be -5*2\/25 + (-12)\/(-5). What is the closest to 0 in p, 6\/5, x?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the first derivative of -x**4\/2 - x**3\/6 + x**2\/2 - 53*x + 52. Let g(v) be the first derivative of u(v). Give g(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 16, z: 4}. Give prob of picking 2 d and 1 z.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + 0.1. Suppose -1402*u + 1403*u = 0. Which is the closest to x?  (a) u  (b) 2\/5  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 1484\/5*t**3 - 553536\/5*t + 273792\/5*t**2 + 2\/5*t**4.\nAnswer: 2*t*(t - 2)*(t + 372)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -10*h. Let x(s) = 0 - 12*s**2 + 0 + 13*s**2. Calculate a(x(k)).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 113925 and 180075.\nAnswer: 5582325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 223564774.\nAnswer: 2, 111782387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 0 + 1)*(-9*g + 4*g - 4*g) - 3 - 2*g + 3 + (3*g - 1 + 1)*(-18 + 5 + 6) in the form j + i*g and give i.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b. Suppose 5*c + 222 = 3*o + 2*c, 5*c = -25. Suppose 20 = -4*z, -z + o - 14 = 3*k. Let d(g) = k*g**2 - 4*g**2 - 12*g**2 - 1. Determine s(d(h)).\nAnswer: -4*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 253599.8 centuries?\nAnswer: 304319760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5187)\/(-14)*5080\/24765.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 0 - q**3 - q - q**2 + 0 + 0*q**2. Let p(i) = 6*i**3 + 5*i**2 + 5*i + 3. Let n(w) = 2*p(w) + 10*s(w). What is the derivative of n(z) wrt z?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f + 14. Calculate y(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 2*x**2 - 5*x + 9. Let q be u(5). What is the hundreds digit of (((-3104)\/(-6))\/4)\/(q\/51)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and -118690674.\nAnswer: -474762696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 410.8048 meters to millimeters.\nAnswer: 410804.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 7*c**2 - 29*c - 9. Let l(i) = 3*i**2 - 14*i - 4. Calculate 5*l(w) - 2*n(w).\nAnswer: w**2 - 12*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -496, 3013, -3, -2.\nAnswer: -496, -3, -2, 1, 3013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -1. Let v(x) = 1. Let g(i) = 6*l(i) + 7*v(i). Let r(k) = -4*k - 2. Calculate -6*g(j) - 2*r(j).\nAnswer: 8*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -1001 > -1002?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 88359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*s*w**3 + 141*s*w**2 + 856135*s*w + 42*w**3 - 2*w**2 wrt w.\nAnswer: -12*s*w + 282*s + 252*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 4*j**2 + j + 6. Let l(n) = -9*n**2 - n - 12. Determine -3*l(f) - 5*o(f).\nAnswer: 7*f**2 - 2*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - -6. Calculate the lowest common multiple of 14 and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001000 - -1010?\nAnswer: 1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (76\/133)\/(56\/(-49))*(-34)\/(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 666 + 241 = -s, 3*s - 2*z - 1251 = 0. Let r = 870 - s. List the prime factors of r.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1320\/(-132)*4\/10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the second derivative of -a**4\/24 - 4*a**3\/3 + 7*a**2\/2 - 5*a. Let z(i) be the first derivative of g(i). Calculate z(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19\/(23199\/(-3330))*4\/12\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 minus 422?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is b in b**3\/3 + 120*b**2 + 10800*b = 0?\nAnswer: -180, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 26402473\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3569*m + 3569*m + 685*m**3 + 2*m**3 - 2 + 2 - m**3 - 2*m**3 + 5*m**3 + (m - 2*m + 2*m)*(-1 + m**2 + 1) + m**3 + 79*m - 79*m.\nAnswer: 691*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-4)*z*(z**4\/z*z)\/z)**50\/(z**1\/(z\/(z*z**(-4))))**8 assuming z is positive.\nAnswer: z**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gygygggy. What is prob of sequence gg?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -33, -39, -25, 15, 87, 197, 351, 555?\n\"Answer: n**3 + 4*n**2 - 25*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from ssskkkkkkkssskkskssk.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 12*y**4 + 7*y**3 + 2*y + 6. Let n(v) = -6*v**4 - 3*v**3 - v - 3. Let a(l) = 7*n(l) + 3*o(l). Find the first derivative of a(k) wrt k.\nAnswer: -24*k**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a meter in micrometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**2 + 3*k - 2. Let b be m(3). Suppose -g = -2*g + b. Suppose -49 + g = -f. What are the prime factors of f?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171) - 3*1*sqrt(171)) + sqrt(171))\/sqrt(9) + sqrt(95)\/(-3*(sqrt(5) + sqrt(45))).\nAnswer: -13*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1026376643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11621 + -1703. List the prime factors of i.\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 3*a = -129, -12 = -2*a - 2*a. What is the lowest common multiple of 44 and -1*(-6)\/9*q?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -2*p**2 - 1332*p - 160523. Determine t(-158).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + l = 0. Suppose 2*v - p + 3*p = -4, -3*v + 2*p = -4. Suppose -b - 4 = -2*u + u, 2*u + 5*b + 13 = v. Sort l, -4, u in increasing order.\nAnswer: -4, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - 1. Let j be 144\/(-66) + q + 2. Let m = 9 + -9.2. Which is the biggest value?  (a) m  (b) 3  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13, -69, -171, -325, -537, -813?\nAnswer: -1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 - 191501182854.14?\nAnswer: -191501182880.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -992899*t**4 - 124*t**3 + 164540040*t?\nAnswer: -11914788*t**2 - 744*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*k + 8 - 7 - 1.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 975 is divided by 943.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -4*b + 4*b + 5*b**2. Let w(p) = 4*p**2 + 9. Let v(s) = s**2 + 2. Let o(g) = 9*v(g) - 2*w(g). Calculate o(k(q)).\nAnswer: 25*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 10*((-9)\/1)\/108?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -28*m**5 - 40*m**4 - 12*m**3.\nAnswer: -4*m**3*(m + 1)*(7*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 390 a factor of 90413356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 401668073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 25 = -5*d, 0*d + 4*d = 2*b + 2. Suppose -131 = -4*a + b*f - 22, -3*f = 4*a - 69. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + 224144000?\nAnswer: 224143444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is (-7)\/((-21)\/2922) - 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23 - 26 + 2*r + 0*r to the form m + o*r and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2355, 2943, 3831, 5019?\nAnswer: 6507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 111750 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -3 + 19*l**2 - 10 + 4 - 5*l. Let c(g) be the second derivative of -1\/3*g**3 + 3\/4*g**4 - 2*g**2 + 862*g + 0. What is 9*c(x) - 4*j(x)?\nAnswer: 5*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 87205300 to the nearest one million.\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {i: 2, q: 2, z: 11}?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t - 15. Determine m(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 6\/1*(3\/18)\/(24\/72)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4 + 10\/6*-3. Let w = v - -1. Determine s so that s**5 + 2*s**3 + 2 + 2*s**2 - 3*s**4 + 0*s**4 - 1 + w*s**5 - 3*s = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-33)*p*p*p**(1\/33)\/p)\/(p**(-1\/6))**25 assuming p is positive.\nAnswer: p**(-1835\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5.13 - 5.93. Which is the third biggest value?  (a) 3  (b) -4\/13  (c) 0.2  (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 PM and 3:55 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -77*-0.04.\nAnswer: 3.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*q**2 - q**2 - 2*q**2 - 4*q**2 + 11*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z*z**(-18)*z*z**(2\/51) assuming z is positive.\nAnswer: z**(-763\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - 0*z - 3. Let n be 4*(-2 + (-207)\/(-102)). Which is greater: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + r**2 - 3)*(0*r + 0*r - r + (-2*r - r + 6*r)*(-2 + 1 + 0)).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -179 - -1?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18713, -37424, -56135, -74846, -93557, -112268?\nAnswer: -130979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11364.094812 - -11364. Round z to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4210891463?\nAnswer: 353, 11928871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**2 + 0*f**2 - 3*f**2)*(212*f - 795*f**2 - 18*f + 793*f**2).\nAnswer: 4*f**4 - 388*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 459044*l = 459064*l + 340 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -14133430 (base 6) in base 15?\nAnswer: -96e09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -6657 (base 12) to base 13\nAnswer: -51b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*y**2 + y**2 - 3*y**2)*(111*y - 56*y**2 - 111*y) + y**2 - 2*y**4 - y**2 in the form m*y + s*y**2 + w*y**4 + l + z*y**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 150964268 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 7163749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/12546 and 23\/13940?\nAnswer: 125460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 + -16\/9. Sort 0.4, h, 3\/4 in decreasing order.\nAnswer: 3\/4, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the first derivative of 64 + 1\/4*z**4 + 0*z + 2\/3*z**3 - 1\/2*z**2. Calculate y(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 11*b + 63. Give w(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-3)*w*w**(-1\/2))\/(w**(-2\/5))**(1\/3)*(((w\/((w**(1\/3)\/w)\/w))\/w)**(-2\/83))**38 assuming w is positive.\nAnswer: w**(-3231\/830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h + 2*h - 2*h)*(-186*h - 9*h**3 + 186*h - 4).\nAnswer: -27*h**4 - 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 34353079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (1 + ((sqrt(112) - (sqrt(112) + -1*sqrt(112))) + 4 - ((sqrt(112) - ((sqrt(112) - 3*(0 + sqrt(112) + sqrt(112))) + sqrt(112))) + sqrt(112))))**2.\nAnswer: -200*sqrt(7) + 2825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.844 + -4.844. Let g = -29\/38 + -4\/57. Which is the second smallest value?  (a) -1  (b) w  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 21257?\nAnswer: -5\/21257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**2 + 16*k - 13. Does 21 divide v(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z = 4*z + 3*w - 12, 2*z - w = -9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 6830321 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i and 1 w when three letters picked without replacement from yiooywiiooowooio?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 39 + -2 + 1 - (-1373 - -1356)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 210006?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(3\/13)*o**(-8)*o)\/((o\/(o**(5\/6)*o*o))\/(o*o**(2\/9))) assuming o is positive.\nAnswer: o**(-869\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 9 = -4*v, -3 = -26*v + 21*v + p. Suppose v = 4*y - 127 + 115. What is the remainder when 60 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -60868*r - 130796?\nAnswer: -60868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -260*w**2 + 20. Let l(g) = 87*g**2 - 6. What is -2*c(p) - 7*l(p)?\nAnswer: -89*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 66*u**5 - 280*u wrt u.\nAnswer: 1320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -2*t**2. Let b(a) = 3. Let o(h) = -8*h + 84. Let i(z) = -56*b(z) + 2*o(z). What is s(i(f))?\nAnswer: -512*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 + 4. Calculate the remainder when ((-2)\/l)\/((-4)\/(-162)) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*l**2 + 60*l + 0*l**2 + 0*l**2 - 16*l as y + s*l**2 + n*l and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 2*d**2 + 2*d - 1478. Let m(o) = -3*o. What is n(m(b))?\nAnswer: 18*b**2 - 6*b - 1478","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 + -7. Let k be x - (-1)\/(2\/20). Suppose -k*j = -10*j + 8. 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 least common multiple of 102 and 2956744?\nAnswer: 150793944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 2*q**2. Let a(p) = -873940*p + 38665. Let j(f) = 1289*f - 57. Let c(t) = 6*a(t) + 4070*j(t). Calculate m(c(o)).\nAnswer: 13416200*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 - (-13 + 1) - (0 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gke when three letters picked without replacement from lkgkgkmlkgklze?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, -177, 19, -5, -12, -1.\nAnswer: -177, -12, -5, -2, -1, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6162*v - 2115*v - 2024*v - 2 - 2018*v.\nAnswer: 5*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, -17, 4, 306, -1 in descending order.\nAnswer: 306, 4, -1, -15, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/336 and -7\/360.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**2 + 28*g + 53. Let n = -33 + 112. Suppose 0 = -3*u + n + 5. Is m(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 880331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add together -14677 and -0.1.\nAnswer: -14677.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1015 - 1012. Let v(o) = -o**2 - o + 7. What is the remainder when v(0) is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 245990938 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uquu when four letters picked without replacement from uuuuhuuququguqqqqqq.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 5*o, 0*o - 5*b = 2*o. Suppose o = -4*z + 14 + 10. Solve n - 12 = -5*d, -2*n + 4*d = z*d - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1553, 2957, 4361?\n\"Answer: 1404*z + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 41578919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 - 5. Suppose -a + 0*a = -2. Suppose a*w - 30 - 52 = k. Solve -p + 6*p = -4*q - w, -4*q - 16 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7744?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -7*a + 68. Suppose -a - 27 = -m. Suppose -f = -0*f - m. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 24*d - 107. Is c(8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 - 2*g**2 + 6. Let d(u) = -7*u**3 - 8*u**2 + 634. Calculate d(m) - 5*q(m).\nAnswer: -2*m**3 + 2*m**2 + 604","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - -21002c?\nAnswer: 210030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 5*m + 7 + 27 = 0, 4*j - 3*m + 3 = 0. Suppose -141 - 3 = -j*v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1672 and 17842.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -181294 - 2*g**2 + 181292 + 3*g**2 + 83*g. Let v(u) = u. What is v(x(d))?\nAnswer: d**2 + 83*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/14750072 and -27\/71038?\nAnswer: 162250792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, u: 2, j: 1, q: 1, a: 2}. What is prob of sequence aj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*v = 138, 2*l - 11*v - 45 = 29 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s = 4*p - 8, 2*s = -2*p + 6*s - 26 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/6 + ((-35875)\/(-21) - -6). Suppose -r = 5*n - 4*r - 1735, -5*n - r = -c. Is 43 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 32 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 2*x + 20 = 0, 2*x = 5407*g - 5406*g - 22 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 3*i - 51659 = 0, -4*i - 3642 = -5*h + 125609. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 21067*p. Let s(u) = 29*u**2. Give s(y(j)).\nAnswer: 12870736181*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*f + 20 - 34 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(4\/9)*j*j**(-2\/7))**(-1\/12)*((j\/(j**0*j*j))\/((j\/j**(-3\/8))\/j))**32 assuming j is positive.\nAnswer: j**(-8350\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is eight thirds of a century in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -43*z - 1. Let a(h) = 14110*h - 5472. Let s(v) = a(v) + 2*m(v). Differentiate s(t) with respect to t.\nAnswer: 14024","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4146*a*u**3*w**2 + 6448*a*w**2 + 381*u**3*w + 28132*u**2*w**2 wrt a.\nAnswer: -4146*u**3*w**2 + 6448*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 21*i**2 + i - 5. Let m be z(3). What is the highest common divisor of m and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 + 11. Let x = a - 7. What is the second biggest value in 0.5, x, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i**3\/2 + 43*i**2 - 2805*i\/2 - 136125 = 0.\nAnswer: -75, -66, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 - -5. Suppose -j*y = -129 - 106. Let g = 66 - y. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3, 0.1, 1956, 0.4, -3\/5, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 3*s = 0. Let o = -1 + 1.5. Let y = 66 - 331\/5. Which is the second smallest value?  (a) y  (b) s  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 49.3 - 52.3. What is the nearest to 150 in 5\/2, i, -2\/5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 905*x**2 + x. Let a(l) = -4361*l**2. Calculate s(a(w)).\nAnswer: 17211580505*w**4 - 4361*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -867240 divided by 4818.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*g = 7*g + 10. Suppose 0 = t + t - 3*k + g, -2*t + 10 = 2*k. Suppose t*b - 5 = 9. Calculate the greatest common divisor of 77 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llhl when four letters picked without replacement from {h: 5, d: 2, l: 8}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72799984 = 2*d - d. Suppose 0*w + 3*h - 36400012 = 2*w, 4*h + d = -4*w. What is w rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11367001691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -703\/2 - -374. What is the common denominator of -133\/12 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-2 - (-292)\/(-148)*-1). Suppose -x = 2*t - 33 - 6, t - p = -x. What is the first derivative of -4*b + x + 0*b + b wrt b?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1780592 to the power of 1\/2, to the nearest integer?\nAnswer: 1334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(5\/4)*s**10)\/(s\/((s*s**8)\/s)*s**8))**(-25) assuming s is positive.\nAnswer: s**(-1025\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/12438 and -85\/22112.\nAnswer: 199008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -60.11711 - -11.66053. Let o = b - -841.40688. Let w = o + -793. What is w rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.04737 and -962.9.\nAnswer: -45.612573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -x - 17, -3*x + 0*x = -h + 23. Let t = 15 + h. Let y = t + -10. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f**4\/3 - 37007*f**3\/3 + 148072*f**2\/3 + 1036340*f\/3 + 394784 = 0 for f.\nAnswer: -37011, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2952 and 1944?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 773\/21294 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -59 + 32.2. Let g = -27 - y. Let j = -222 - -225. Which is the smallest value?  (a) j  (b) g  (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3654 and 33930.\nAnswer: 237510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 2, 5, 1, 4 in decreasing order.\nAnswer: 5, 4, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -5*i**2 - 76*i - 166. Let m(q) = -q**2 - 15*q - 33. Let s(h) = 11*m(h) - 2*o(h). Let t be s(-6). Calculate the greatest common divisor of t and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*j**4 + 17*j**2 - 17*j**2 + (-12 + 20 - j + 6)*(-j**3 - 6*j**3 + 3*j**3).\nAnswer: 8*j**4 - 56*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the second derivative of r**4\/3 + 7*r**3\/6 - r**2 - 6*r. Let h = 11 - 16. Is f(h) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 5*w**3 + w**2 + 2*w - 3. Let n be q(2). Let p be -1 - 1\/(3\/(-51)). Suppose -3*o = -p + 1. What is the greatest common factor of n and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 30 = -q + 3*f, -20 = -4*f. Suppose 5*n = q, n = -l - 2*n + 14. Let y be -6 + (10\/4 - 9\/(-18)). Put l, -1, y in ascending order.\nAnswer: y, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h**(2\/3))*h**(1\/20))\/((h*((h\/(h\/(h*(h\/(((h*h**(-1\/7)*h)\/h)\/h))\/h*h)))\/h*h)\/h*h)\/(h\/(h\/(h*h**(1\/8)\/h)))) assuming h is positive.\nAnswer: h**(-3053\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 108 divided by 54?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -32.01 - -32.01. Let n = -1 + -2. Let y = n + 3.5. Which is the nearest to -1?  (a) y  (b) t  (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (470*i - 481*i - 34*i**2 - 5*i**2)*(3*i - 7*i + 2*i).\nAnswer: 78*i**3 + 22*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Do 560 and 561 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1207*k**5 - 1459*k**4 + k**3 - 42577856*k?\nAnswer: 24140*k**3 - 17508*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1145461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 329363961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2000121133 (base 4) to base 8\nAnswer: -2003137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 25204 and 31505.\nAnswer: 126020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -6 + 8 + -1 + -7 + (25 - 14)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10\/((-5)\/(20\/(-8))). Suppose u = -2*j + 123, 5*j + t*u - 103 = 3*j. Let h = 151 - j. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -2*b - 2. Let t be c(-3). Suppose 0 = -2*a - 8, -t*s + 16 = -0*s + a. Suppose -s*h = -h - 68. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*g = 42*g - 3. Solve -a + 0 = g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1586037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 142228757 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -30401427.7 - 20\nAnswer: -30401447.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 7429765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*m - 45*m = p + 34, m + p = 1. Sort 179, -1, m in increasing order.\nAnswer: -1, m, 179","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/5 - 26\/(-10). Let o be (-3 - -4)*r\/2. List the prime factors of o - 1\/((-2)\/10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 - 2 = 4*r. Suppose 0 = -r*q + 6 + 6. Let s = -5.1263 - -0.1263. Which is the second biggest value?  (a) q  (b) -1\/6  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + (4 - 4 - 0) - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -310 + 396. Let r = v - 84. Which is the second biggest value?  (a) -0.5  (b) -5  (c) 3  (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from traavxrrtxcc. What is prob of sequence txt?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 20674229?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = 2*r - 628, -1626 = -5*z - 2*r - 582. What is the remainder when z is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((15\/(-10))\/(-1))\/(2\/(-4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 21 and 322?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lgxj when four letters picked without replacement from {g: 2, j: 1, x: 4, l: 2}.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 16636, -10 in decreasing order.\nAnswer: 16636, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1584) + 4 + 2)**2 - (sqrt(1584) + 2 + (-4*sqrt(1584))**2))*4.\nAnswer: -94904 + 528*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**3 - 12*u**2 + 6. Let g(h) = -6*h**3 + 165*h**2 + 87*h - 72. Let l be g(28). Give z(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 - -7. Let k = i + -2.9. Let j = 209 - 215. Is j at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j = 2*h - 16, -8 = 3*h - 2*j - 0*j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*d + 110 = -5*d. Suppose -2*x = -126 + d. What is the remainder when 193 is divided by x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes before 10:42 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -8127651612+-0.3\nAnswer: -8127651612.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -3  (b) 4\/3  (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes before 3:34 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8996?\nAnswer: 2, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 34 + -40. Let f = w - -6. Which is the fourth biggest value?  (a) f  (b) 1\/3  (c) 2  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 425932496*y + 12160860?\nAnswer: 425932496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -175*p - 875. Is u(-16) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 71505.\nAnswer: 3, 5, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 8*c + 11*c + 48*c + 6. Let f(x) = x - 1. Let k(d) = -6*f(d) - j(d). Let a(y) = -2*y. What is a(k(t))?\nAnswer: 146*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1987206 by -50954.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzeztlztezqzqfqzz. Give prob of sequence ftte.\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -24 + (-1536)\/(-72) - 14\/(-3). Let p(z) = z**3 - z**2 + 5. Let m be p(0). Suppose -m = -2*t + 3. Solve -3*g + k = -t*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8927341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 11 + 89. What is the smallest common multiple of y and (-2 - (7 + -8))*-40?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -60.5 - -51. Let f = w - -9. Put -0.1, f, -3, -4 in descending order.\nAnswer: -0.1, f, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - -44) + 23 + 52 + -83\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mlm when three letters picked without replacement from {j: 5, u: 1, m: 3, l: 1, d: 1, z: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3202 - 6?\nAnswer: -3210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*w**2 - 37 - 83 + 32 + 27 + 33 + 28.\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00060301432 to 6 dps.\nAnswer: -0.000603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 71508.68 days in milliseconds?\nAnswer: 6178349952000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 + 2*k**2 + 10. Let q be y(-3). What is the closest to -0.04 in -3, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -180 - -65. Let m = r + 99. Which is the nearest to -4\/3?  (a) m  (b) -2  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 11199596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 22228*x + 444552. Determine i(-20).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -133*a + 7853. What is v(59)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -57\/50963 and -8\/4059.\nAnswer: 458667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -96*c**4 - 19633*c - 106488969?\nAnswer: -384*c**3 - 19633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 356013*r**3 - 2 - 244990*r**3.\nAnswer: -601003*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0022244878 rounded to seven decimal places?\nAnswer: -0.0022245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a**3 - 47124*a**2 + 659442*a - 2307704 = 0 for a.\nAnswer: 7, 23548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 2*n**2 + 3*n - 3. Let p(g) = 4*g**2 + 7*g - 7. Let f be (4\/(-2))\/((-4)\/4). Let h be (-1)\/(-5) - 52\/10. Determine f*p(a) + h*x(a).\nAnswer: -2*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 23572371 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19\/6 - -215\/66. Let w = -0.4 - 0.6. Let p = 0 - w. What is the second biggest value in 3\/7, p, s?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 2 + s + s + s**2 + 2*s. Let g be z(-4). Let v(r) = 2*r**2 + r + 1. List the prime factors of v(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -3*u**3 - 2*u**2 - u. Let l = -1 + 16. Let v = 17 - l. Suppose 3*c - 7 = -v*k - 2, -4*c - 3*k = -8. What is j(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 0*w = -15. Let v(c) = 3*c**2 - 5*c + 6. Let r(q) = -2*q**2 + 3*q - 3. Let h(t) = w*v(t) + 5*r(t). What is the derivative of h(i) wrt i?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/1952 and 37\/6.\nAnswer: 5856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 3826*i - 38257. What is d(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 3 = 12. Let o = c - 3. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*u + 2*u + u)*(21 + 19 - 46)*(1 + 0 - 3)*(2 - 5 - 2) in the form c*u + s and give c.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 112 - 61 - 62 - 3*n.\nAnswer: -3*n - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10.16 - -0.16. Let y = q + 9.99955. Round y to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 475163.\nAnswer: 13, 36551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -30*k**4 - 21914*k**3 + 144354*k**2 - 72214*k + 8844 = 0.\nAnswer: -737, 1\/5, 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2178991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 4  (b) -1  (c) 0.642  (d) -4  (e) 3  (f) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9039 - 8979. Calculate the remainder when 7258 is divided by d.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 4*i = -0*b - 86, -4*b - 2*i - 78 = 0. Let k = -20 - b. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 27 - n - 27. Let o(h) be the third derivative of 5*h**4\/8 - 2056*h**2 + 6*h. Give o(g(d)).\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 57 - 87. Suppose -29*b = -759 - 459. Let v = w + b. What is the smallest common multiple of v and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + 2 = -c - 1, 0 = c + 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes before 4:00 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -1960*u - 35. Let p be b(-13). Let m = p + -12645. What is m rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 4, x: 6, k: 1}. What is prob of sequence xrrr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 - 0. Suppose 16*h = 12*h + m. Suppose 7*p - 4*d - 2344 = h*p, -1 = -d. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w = -4*r, -2*w - 50*r + 16 = -48*r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1192?  (a) 0.69  (b) 1\/3  (c) 11  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + ((-16)\/2 - 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1*-12*-2*(-1)\/4. Let p be (f*(-1)\/(-2))\/(3\/(-38)). Calculate the greatest common factor of p and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**4 - 50*i**3 - 246*i**2 - 316*i + 4. Let x(k) = 2*k**4 - 52*k**3 - 245*k**2 - 314*k + 6. Let y(t) = 3*w(t) - 2*x(t). Factor y(v).\nAnswer: -v*(v + 2)*(v + 4)*(v + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:10 PM and 3:00 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 38\/10 - 28\/35. Suppose -v*c = c - 1828. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k - 3 = -r, -79*r + 12 = -16*k - 75*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 16426 and 4042.\nAnswer: 772022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4723 or -4728?\nAnswer: -4728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -472*s**2 + 53409 - 26766 - 26643.\nAnswer: -472*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4100 + -4099.7. Which is the third biggest value?  (a) -0.2  (b) 5  (c) -1\/7  (d) i  (e) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**2. Calculate a(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 - -21. Let n(g) = g**3 - 21*g**2 + 2. Let y be n(q). Suppose -y*i = -3 - 39. What is the remainder when 59 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 11182753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) 6  (c) 5\/8  (d) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-1\/3)*z)\/(z**(-9)\/z))**(-20\/11) assuming z is positive.\nAnswer: z**(-640\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and 30032.\nAnswer: 90096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/11  (b) 1  (c) -6\/5  (d) -31  (e) 1\/3  (f) 71\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-21 - -3)*66\/(-4) is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 185*d**2 + 33*d**2 - 21 - 30 + 51 to i*d**2 + m + r*d and give i.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, k: 3, c: 12}. Give prob of picking 4 c.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 163*p - 97. Suppose 6*q - 206 - 142 = 0. What is the remainder when c(2) is divided by q?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 93194374 to the power of 1\/3, to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1572329 and 0.91?\nAnswer: 1430819.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*z + z - 266165*z**2 + 266131*z**2 - z.\nAnswer: -34*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6)\/(-9) - (-21)\/9. Suppose -g = l - 2*l. Suppose l*r = d + 4, 4*r + 5*d - 23 - 14 = 0. What is the remainder when 4 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 35*t + 38*t - 73*t + 5*t**2. Let u(p) = -4*p. What is u(v(o))?\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 88\/30 + (-124)\/(-310)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100110000 - 11111111111111000?\nAnswer: -100000001100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.384 + 0.184. Let n = 2882 + -2877. Which is smaller: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-52)\/455*-56*210\/420\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the first derivative of 3*p**4\/4 - p + 5. What is the derivative of g(w) wrt w?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*b**2*h**3 - 6288*b**2*h**2*m + 179*b**2*v + 2*b*h**3*m - 6*b*h**2*v - 7*b*m + 3420*h**3 - h**2*m*v + 6*h*m wrt b?\nAnswer: 4*h**3 - 12576*h**2*m + 358*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26624 and 13648?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 5112, 5106, 5098, 5088, 5076, 5062, 5046?\n\"Answer: -q**2 - 3*q + 5116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in 1\/4, 5, 3, -11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2311, -9242, -20793, -36964, -57755?\n\"Answer: -2310*n**2 - n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 117795580.\nAnswer: 2, 5, 7, 841397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-y - 5 + 5)*(-y**2 + 0 + 0) + (-y - y + y)*(480*y**2 - 273*y**2 - 765*y**2) in the form u + t*y**3 + s*y + x*y**2 and give t.\nAnswer: 559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-133)\/(-21) + -6)*6. Sort 4, i, 1, 3 in descending order.\nAnswer: 4, 3, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -32564 divided by 1266?\nAnswer: -16282\/633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*c = -21*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -702.9 + 703. Which is the nearest to 0?  (a) h  (b) -2  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 80*d**5 + 84*d**5 - 1 + 1 - d**2 + 24*d**4 + 6*d - 160*d**5 wrt d.\nAnswer: 240*d**2 + 576*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**2 - 474*j - 3318. Let q be m(-7). Calculate the greatest common factor of 504 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*z + 55 = 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*y + 3*y + 2*y)*(0*y + 2*y - 3*y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 1 + 1 + 29*o**2.\nAnswer: 29*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 17529, 35059, 52589, 70119?\n\"Answer: 17530*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 58, 101, 172, 283, 446?\n\"Answer: 2*o**3 + 2*o**2 + 23*o + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(-16) + (-418)\/8. Let m(a) = a**2 + 19*a + 76. Let t be m(-10). Let p be 14 - 10 - w\/t. What is the closest to 0 in p, -0.5, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -h + 30*h**2 - 43*h**3 - 28*h**3 - h**4 + 105*h**3 + 2 - 35*h**3 to the form m*h**3 + d*h + i + r*h**2 + l*h**4 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4820879 is divided by 1205193.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8.6?  (a) -2\/3  (b) 1  (c) -0.4  (d) 0.01  (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(351) - ((sqrt(195) + sqrt(195)*-1 - sqrt(195)) + sqrt(195))\/sqrt(5))\/(sqrt(12)\/(sqrt(16) - sqrt(4))*-5))**2*4.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, c: 3, d: 1, x: 6, q: 1, m: 3}. What is prob of sequence qcg?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -253*x + 1454 - 2884 - 4389 = 0 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/4, 3, 0, 1302986?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10004261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the first derivative of -8\/3*r**3 + 20 - 3*r**4 - 8\/5*r**5 - r**2 - 1\/3*r**6 + 0*r. Factor z(j).\nAnswer: -2*j*(j + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/14*(-8)\/((-144)\/(-42))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (-18 + -9)\/(-3) + -3 and (-52)\/(-6) + (-6)\/9.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express y**2 - 5*y**2 - 4*y**2 - 5*y**2 as w + j*y + f*y**2 and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {g: 4, w: 4, j: 6}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 387060505?\nAnswer: 5, 13, 17, 350281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40369 is divided by 37981?\nAnswer: 2388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/16 and (-2)\/6 - 3297\/(-756).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*q**5 - 3*q**5 + 2*q**5 + (-6*q - 4*q**3 + 6*q)*(4*q - 4*q + q**2).\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -21.833349 rounded to two dps?\nAnswer: -21.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 383 - 167. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 14) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11 - -11. Suppose 0 = 2*l - 2*s - 22, d = 5*l - 3*s + s - 46. Suppose 0 = 2*o - 2 + l. What is the closest to 2\/3 in o, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -74 + 73.06. Let i = s - -0.94000079. What is i rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -490860891*w**2*z**3 + w*z**3 - w*z**2 + 4*w - 8*z**3 + 5004947*z wrt w.\nAnswer: -981721782*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5670\/1680)\/(3\/16).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-48)\/(-2))\/(-4)*(-4)\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m + 1. Let r be (-23)\/(-2) - 1\/2. Let l(p) = 2*p + r - 15 + 2*p. Give -14*k(q) - 4*l(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 18643 and 4887?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w - w**3 + 0*w)*(-5 + 1 - 6).\nAnswer: 10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14478 = -56*m + 17*m - 185*m - 9266 for m.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:20 PM and 8:08 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 21983645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 44, 143, 300, 509, 764, 1059, 1388?\nAnswer: 1745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - 2 - -1 - (-7 - (15 + -5))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*-241.\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 2*(-126)\/54*13\/((-3094)\/(-12))\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10 + 531020312?\nAnswer: 531020322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + g = -0*g + 1, 2*g + 8 = 0. What is the closest to 1 in 2\/9, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 2\/5, -1\/4, -2, 6.9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 1, b: 1, c: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most as big as -4\/180734747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -18\/29867  (b) -0.1  (c) 0.3  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -0.0139, -457, -1\/4, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*l - 258*l = -136080. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4.21 - -3.9. Suppose 0 = 2*f - 5*h + 10, -3*f = -4*f + 5*h - 10. Which is bigger: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00003191176 to six decimal places.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*n - 49 + 14. Suppose 0 = -2*l + 2*t + 904, -n*l + 2220 = 8*t - 3*t. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5\/15 + (-609)\/(-9). Suppose -5*o + 22 + n = 0. What is the least common multiple of o and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 34 and 39406?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 + 3 = x. Let z(j) = j**3 - 10*j**2 + 10*j + 6. List the prime factors of z(x).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.44869904 to two decimal places.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -26b0 (base 16) to base 14\nAnswer: -3876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1a - -22?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20 + (-15 - -8 - 18) - 51.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (22 - 20)*(1 + (-45)\/42)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -312*i**2 - 315*i**2 - 73*i + 624*i**2 + 166*i - 93*i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 51 = -0*g + 3*g, 2*g - 42 = 2*d. Suppose -4*v = -246 - 10. Let u = v + d. What is the greatest common factor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 45 + -303. Let p = 260 + v. Sort 1, 10, p, 3 in increasing order.\nAnswer: 1, p, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b + 4. Let a be t(2). Let z be 1\/a - (-14)\/4. Suppose -2*r + 3 = -2*s + 5, s - 5*r = 5. Solve -z*g + 3*g - 2 = s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z - 44 = z - 4*f, -5*z + 2*f + 89 - 94 = -61 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 45*r - 48*r = -29, -121*g + 122*g + 693 = 86*r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -604612 by 302306.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 2 f, and 1 y when four letters picked without replacement from azaafapazzfazzy.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (0 + -2)*-1*(7 - (-700)\/(-98))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-202)\/(-85) - (-1188)\/1485 and ((-24)\/9)\/(130\/45).\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17 + 30 + 55*n + 0 - 56*n - 10.\nAnswer: -n + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 79435\/18416 - 1\/1151. What is the common denominator of f and -5\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*d**2 + 2*d**2 + 2*d**2)*(-d - 3*d + 6*d) + (344 + 48*d - 344)*(4 + 3*d**2 - 4))*(-2*d**2 + 2*d**2 + 2*d**2).\nAnswer: 296*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18 + 22. Is 8 a factor of 96\/(-56)*(-70)\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 751697 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the second derivative of -c**5\/5 - 7*c**4\/3 - 8*c**3\/3 + 24*c**2 + 66*c. Factor h(b).\nAnswer: -4*(b - 1)*(b + 2)*(b + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**2 - 7*d - 10. Calculate o(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 66 and 5369526.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1322*s**3 + 0*s**2 - 1236*s**3 - 4*s**2 + s**2)*(-14 + 15 - 13).\nAnswer: -1032*s**3 + 36*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*a**2*o - 190025*a**2 + 25538*a*o - 49*a + 1 wrt a.\nAnswer: 4*o - 380050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 749?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*y**2 - 23*y**2 + 3 - 3.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from iiyyiryii.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 2\/7*i + 4\/7 - 2\/7*i**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the second derivative of -v**4\/12 - 4*v. Let x(o) be the first derivative of 21*o**2 + 148. Determine r(x(d)).\nAnswer: -1764*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*w - 7*w + 4*w - 22*w to b*w + u and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -320 + 321.99. Let j = 0.21 + i. Round j to one dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-80)\/14 + 3 + 3. Which is bigger: o or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11120553047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 26\/(-30) + (-22)\/165. Suppose 0 = -3*y + 16 + 20. What is the remainder when (3 + -1)*t + 37 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -80*j**3 - 3*j - 2. Determine i(-1).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12 + -10. Suppose c - 7 = s. What is the second derivative of -c*i - 9*i**3 + 15*i + 5*i wrt i?\nAnswer: -54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mpx when three letters picked without replacement from {y: 2, s: 1, p: 2, r: 3, x: 1, m: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1115 - -1114.7. Which is the nearest to -9?  (a) 0.5  (b) 1  (c) 21  (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -140 and -0.09755?\nAnswer: 139.90245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/5, -15, -3, -0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 979 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 345*b - 332*b - 3003. What is the highest common factor of 2002 and b?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (16*h + 7*h + 33*h)*(1 - 4 - 5)*(-16 + 2 + 6) to w + y*h and give y.\nAnswer: 3584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*k**4 + 3*k**4 - 4*k - 8*k**4 + 6*k**4 - 6*k**3 in the form d*k**3 + o*k**2 + h*k + z + n*k**4 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-45 - -45) + (11 - (-5 + 6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 177 + -104. What are the prime factors of f?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**3 + 3*a**2 - a + 1. Suppose -4*d + 14 = 3*d. Let h be z(d). What is the second derivative of c**h + 108*c - 17*c**3 - 90*c wrt c?\nAnswer: -96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 133\/6 and -65\/129?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 489978223?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -74\/17  (b) 1  (c) -4  (d) 2  (e) 6\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*k**3 + 347*k - 347*k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*m**4 + 2*m**4 - 4*m**4)*(4*m + 10*m - m).\nAnswer: -169*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 250724 is divided by 93?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence efo when three letters picked without replacement from {o: 6, f: 1, e: 7}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1686*k**4*o + 1009*k*o**2 - 985298*o**2 wrt k?\nAnswer: 6744*k**3*o + 1009*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/5  (b) -3  (c) 1\/3  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 3, n: 3, o: 2}. Give prob of sequence oocc.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + 25 + 6 - (-9 + (11 - (14 - 4)))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 164*k + 14226 = 526*k - 254 for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 420*b**4*j**3 - 15*b**4*j - 2*b + 60350*j**3 wrt b?\nAnswer: 5040*b**2*j**3 - 180*b**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-15)\/(-66))\/((-4181)\/(-444) + -7 + -2).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, o: 11}. What is prob of picking 2 o?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 15*c = 1065. Let x = -91 + 128. What is the remainder when c is divided by x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19 - 13. Let n be 2*(-3)\/(-42) - (-668)\/28. Let w be 6\/(-8) - o\/n. Sort w, 4, -5 in decreasing order.\nAnswer: 4, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 159 + -160.39. Let u = 9.24 - 16.33. Let x = j - u. What is x rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24708419.\nAnswer: 24708419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00002225885 rounded to 6 dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18161 and 572.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*n - 52*n + 4 = -4*b - 20 - 3, -4*n + 12 = 13*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 18*z - 50 + 50 as a*z + w and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1508 a factor of 32148717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11\/296 + -2741\/2072. Which is the second smallest value?  (a) i  (b) 1\/6  (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 19 = -5*l, -5*z - 35 = -7*l + 8*l. Let y be z\/21 + 74\/14. Solve y*o = 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 103180.302+-0.5\nAnswer: 103179.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in fifty-seven halves of a kilogram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8264590\/9 + 918288. Determine s, given that 0 - 2\/9*s**5 + 16\/3*s + 44\/9*s**3 + 88\/9*s**2 + y*s**4 = 0.\nAnswer: -2, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -3*a - r - 6, -5*r = 4*a - 19. Suppose a = 3*v - q, 0 = v - q - 1 - 0. Suppose v = -2*y + 2 + 20. Is y at most as big as 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 122 divide 41732052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8452*o**4*p**3 + 341*o**2*p**3 + o*p**2 + o - 1833*p**3 + 24*p**2 + 2*p wrt o?\nAnswer: -101424*o**2*p**3 + 682*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(2\/15))**(-2\/87)\/(k**(-1\/2))**(1\/31) assuming k is positive.\nAnswer: k**(1057\/80910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*m + 12*m**2 - 220 + 112 + 107 - 5*m + 5*m + 4*m**2 + (m + m**2 - m)*(-2 + 6 - 2) as l*m**2 + r + z*m and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 19, 7, -19, -65, -137, -241?\n\"Answer: -w**3 - w**2 - 2*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 817 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -96*z - 56*z + 109576 = -12328. What is the greatest common divisor of z and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2486637?\nAnswer: 3, 276293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1816 + v**3 - 1817 + 5447 - 1814.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 60 - 6. Let n = f - 31. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 8 = -3*n. Suppose n*m - 5 + 49 = 0. Let w = 23 + m. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s + 1. Let u(i) = 1. Suppose -2*y - 3*y + 15 = 0. Let n(j) = y*m(j) - 6*u(j). Differentiate n(p) with respect to p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4423366370 rounded to the nearest 1000000?\nAnswer: 4423000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -20 + 22. Solve 0 = -t*p + z - 5, -z - 4 = 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -39 + 43. Let y(s) = s**3 + 3*s**2 - 3*s + 3. Let c(x) = 2*x**3 + 4*x**2 - 4*x + 4. Give r*y(m) - 3*c(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:19 AM and 5:46 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1378.505272 rounded to the nearest 10?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of q**3\/2 - 9*q**2\/2 - q. Let f(y) = -y + 7. Let u be f(0). What is the tens digit of b(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 - 24 = -10*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 150*a**3 + 13426*a**2\/3 - 16244*a\/3 = 0.\nAnswer: -31, 0, 262\/225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (366\/(-30) - -1)\/((-1)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -148*m + 3*z = -143*m + 7, -3*z - 23 = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 - 20 - 2 - 240?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64 = -16*p, 5*f + 3*f + f + 47 = -2*p - 3*p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let q be (3 - 4)*12*16\/(-6). Let h(f) = -f**2 - f + 2. Let m be h(2). What is the units digit of 8\/q + (-111)\/m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-8)\/25)\/((-44)\/(-770))*-15. Calculate the greatest common divisor of v and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 229*o**3 + 8*o - 8. Calculate the remainder when y(1) is divided by 72.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -840 times 3\nAnswer: -2520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p. Let n(t) = 612*t. Determine n(o(f)).\nAnswer: -612*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -4*g + 14. Let d(x) = -11*x**2. Let q be d(-1). Is v(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -314280 rounded to the nearest ten thousand?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2816175537 to the nearest integer?\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -85.2625 + 88. Let v = 1.27 + r. Let w = -4 + v. Round w to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-165)\/(-7) + (-64)\/112 + -1. Let a be f\/((-21)\/6 + 4). What is the highest common divisor of a and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z = 262.412 - 450.323. Let w = 3.16 + -191.16. Let x = z - w. What is x rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 21705 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-25 - -1) + (-142 - -170) + -35?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20\/11, 2\/5, 43367, 0 in decreasing order.\nAnswer: 43367, 20\/11, 2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 166725104 divided by 83362552?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-3)\/12 + 2)\/(2\/56). Let l = -49 + r. Let f = -1 - -1. Solve g + l - 2 = f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 145, 384, 625, 868?\n\"Answer: c**2 + 236*c - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -833.62 - -760.4. Let y = 2.22 + h. Which is the closest to y?  (a) -3  (b) -0.5  (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -297587 by 4.\nAnswer: -297587\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -151*f - 195*f + 6*f**2 + 0*f**2 + 93*f + 26*f in the form q*f + r + b*f**2 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 68 + -19 + -32 + -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 395521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -220313 (base 4) to base 14\nAnswer: -d4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 200*w - 104. Let l be o(8). Calculate the greatest common factor of l and 704.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 10 = k, 6 + 4 = -3*k - 5*l. Suppose -3*g - 3*n + 21 = 0, -5*n = g - 11 - 16. Solve -k*s - 8 = -3*a - 23, -g*s + 3*a + 6 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -63464, -63455, -63446, -63437?\nAnswer: -63428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 h when three letters picked without replacement from {y: 5, h: 2, c: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/4)*h**(-1\/23)\/h)\/((h**(-1\/17)\/h)\/(h*h**(-1\/4))) assuming h is positive.\nAnswer: h**(397\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/7, 0.4, -23\/3, -0.3, -0.4, 0.32, -0.045?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12748 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-12)\/16 - 6\/(-8). Suppose g*c + c = 115. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -4*p + 105, 135 = p + 4*p - 5*k. List the prime factors of (p\/(-3))\/(4\/(-6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 minutes after 5:30 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v\/v**(-2))**(-16)*v**(-2\/9)\/(v*v**8) assuming v is positive.\nAnswer: v**(-659\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.835996 and 0.09.\nAnswer: 0.07523964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2816  (b) -7  (c) 146\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from njjjzzzhjjjhjjnhjjj. Give prob of picking 2 h, 1 n, and 1 z.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -0.29794360773?\nAnswer: -0.29794360773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 e when three letters picked without replacement from rkeyeqeqe?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 91 = 3*k - l, 8*l + 34 = k + 4*l. Let m be (54*4\/k)\/((-1)\/(-10)). Is m at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -21 - 16527262?\nAnswer: -16527283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4322434344 (base 5) to base 7.\nAnswer: -141041550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -6*d + 6. Give j(-13).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 4  (c) -1\/3  (d) -17808\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the second derivative of -p**4\/12 - p**3\/2 + 43*p**2\/2 - p + 28. Let d be k(-7). What is the greatest common divisor of d and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -66.38143366 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68798?\nAnswer: 2, 41, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 519057478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 6 = -5*d. What is the smallest common multiple of 18 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -386, -380, -372, -362, -350, -336?\n\"Answer: r**2 + 3*r - 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/((-36)\/(-10)))\/((-1)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 23 = 3*y, 39 = 3*y + 5*p + 11. Sort -2, y, 4, -4.\nAnswer: -4, -2, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 228 in 2, -0.2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -45.35 and 180947?\nAnswer: 180992.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 48*y + 124*y - 91*y + 860*y + (-y + 5*y - 2*y)*(6 + 0 - 3).\nAnswer: 947*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + (-5 + 8 - 1) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18457564?\nAnswer: 2, 4614391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6354358 + -6358845.879. Let l = n + 4486. Let p = l - -1.97. What is p rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 15 = z - m, 0 = 4*z + 4*m + 4. What is the fourth smallest value in z, 2\/9, 2, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 21639 and -193.\nAnswer: -4176327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -38.59542 - -160.59797. Let w = -204 + 326. Let a = u - w. What is a rounded to four decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -156 = 3*i - 180 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -308 and 19183.\nAnswer: -5908364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 286*p**4 + 7*p**2 + 289*p**4 + 16*p**3 - 873*p**4 + 277*p**4 wrt p.\nAnswer: -504*p + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -102 - -41252513?\nAnswer: 41252411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -101011000101000110001000 (base 2) in base 14?\nAnswer: -16dd796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z + 12*z - 2*z)*(1 - 1 + 3*z).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1827 is divided by 68.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**3 - 5*m**2 - 14*m + 11. Calculate the least common multiple of 4 and r(7).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v - 3*v + 3*v)*(3 - 6 + 9)*(0 + 4 - 1).\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m. Let u(b) = 2*b**2 + 16*b - 233. Calculate i(u(f)).\nAnswer: 2*f**2 + 16*f - 233","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6314826 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -423544 (base 6) to base 10.\nAnswer: -34552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 87 (base 13) to base 4\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 111560 rounded to the nearest one thousand?\nAnswer: 112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (86\/(-4) - (-4)\/(-8))\/(-4)*(-12520)\/(-1252)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 442 divided by 3?\nAnswer: 442\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.05 - -0.45. What is the second biggest value in 5, y, 1\/6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4633.2 times 4?\nAnswer: -18532.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -126930 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 328382410*y**3*z**2 - 2*y**3*z - 60393038*z wrt z?\nAnswer: 656764820*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -925 + 455 - 62*c + 471. Let t(r) = -4*r**2. What is t(a(m))?\nAnswer: -15376*m**2 + 496*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/((-5)\/((-170)\/4)). What is the greatest common divisor of f and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 2*u**2 + 3*u - 29. Let v be x(8). Factor 125*g**3 - 375*g**3 + v*g**3 + 128*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2277 and 211347?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 - 2. Suppose 0 = 3*g - 2*g - u. What is the second derivative of -a**5 - 3*a**2 - a**5 + 3*a**2 + g*a wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -2*q - 13. Let p be x(-9). Suppose -z - 36 = -p*z. What is the remainder when 17 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w**2 - 3*w**2 + 7*w**2)*(-553*w + 474*w + 1158*w)*(-2*w + w**2 + 2*w).\nAnswer: 1079*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20069 divided by -29349.\nAnswer: -20069\/29349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -123 - (-552 + 570 + -30 + 0)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**2 + 10*g + 11. Let v be y(-9). Let a be (-11)\/22*-1*v. Let z(j) = 5*j**2 - 2*j + 1. Determine z(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12663582.\nAnswer: 2, 3, 101, 20897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 23 + 4. Let z = 0 + 3. Suppose -5*m + 82 = -0*c - 2*c, 0 = 4*m - z*c - 60. What is the highest common divisor of m and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2134042321 (base 5) to base 4\nAnswer: 101202031222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -120221 + -122?\nAnswer: -121120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n + 9. Let f be a(14). Let y(q) = -q**2 + 17*q + 44. Let g(w) = -w**2 - 3*w + 1. Let b(x) = f*y(x) + 10*g(x). Factor b(i).\nAnswer: -5*(i + 2)*(i + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 52, -2992, -10, 6, 2 in descending order.\nAnswer: 52, 6, 2, -10, -2992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-78)\/30 + -20 + 23. Which is the smallest value?  (a) -0.3  (b) f  (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 greater than 24\/44445263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10017270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2228.201921 rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:02 PM and 7:34 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xjvn when four letters picked without replacement from jxjjxnxjnnvjjj.\nAnswer: 3\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 180 divide 108403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -34*g + 57. Let d be 4 + -2 - (-3 + 12). Does 10 divide l(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -u - 4*z, -3*u = 4*z + 4 - 25. Suppose -2*k = -u*k - 125. What are the prime factors of (-1 - k\/3)*3?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24 + -164 + 173 + 1 + 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -101321 - 3?\nAnswer: -101330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 7a (base 11) to base 4\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0 - ((-9)\/(-30))\/(18\/(-8)). Which is the fourth smallest value?  (a) k  (b) -0.4  (c) 6  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 101 + 1022210101110?\nAnswer: 1022210101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2*57\/18*3. Let n = -19 + l. Is -1\/27 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26656541 (base 7) to base 11.\nAnswer: 1436401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes before 2:56 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**2 + 21*c - 53. Determine b(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = -4*c + 3*b + 15, -3*c = 3*b + 15 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 20 * 0.06\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 2*l**2 + 19*l + 15. Let c = 123 + -140. What are the prime factors of s(c)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -56249, -56247, -56245, -56243, -56241?\n\"Answer: 2*d - 56251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = 3*i + g, -12*i + 17*i = -g - 36 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 760\/3 - 245. Let b = q - 8. What is the third smallest value in b, 4, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 174 = -8*a - 21*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 2363381?\nAnswer: 5\/2363381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 710 and 14.\nAnswer: 4970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1943*a + 31 = -1942*a + d, 2*a = 2*d + 22. Calculate the remainder when 254\/8 - 1\/(-4) is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 266821489 to the power of 1\/2, to the nearest integer?\nAnswer: 16335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the third derivative of 0*v + 0 + 0*v**3 - 1\/60*v**5 - 3*v**2 + 0*v**4. Let f(t) = -3*t**2. What is f(q(i))?\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 89931*m - 3237517. What is n(36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes before 4:39 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 2 e when three letters picked without replacement from {e: 2, t: 8, i: 3, v: 2}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**3 - 4*t**2 - 4*t - 2. Let o be z(4). What is the common denominator of -99\/2 and ((-118)\/o*1)\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = s - 4. Suppose 0*v - 2*v + 4 = 0. Let d be -1*(-2 - -3 - 4). Put v, d, s in descending order.\nAnswer: d, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 148406 - 838406. Round t to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 26815, 53606, 80397, 107188, 133979?\n\"Answer: 26791*i + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 5*a = -4 + 24, 2 = -t - 5*a. Let l(y) = 2*y**2 - 4*y + 3. What is l(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13540*x - 41253*x + 13682*x + 13742*x.\nAnswer: -289*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 10*v. Let b(h) = 749*h**2 - h. Calculate y(b(g)).\nAnswer: 7490*g**2 - 10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 2*k)*(4 - 4 - 6*k) + (8 + 0 - k - 4)*(k + 2 - 2).\nAnswer: 11*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2164456341?\nAnswer: 3, 1699, 141551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59*m - 352466 = 39648. Solve m - 6657 = 11*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 258884 or 258869?\nAnswer: 258869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of 0*s**2 + 5\/6*s**3 - 2*s + 1\/12*s**4 + 0. Give g(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 447 + -373. Which is the nearest to 0?  (a) v  (b) -4  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 26 + 526. Suppose 4*v - 4*q = 288, q + f - 172 = 5*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51 = 7*a + 82. Let b be (11\/(-4))\/(a\/114). Which is bigger: b or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -41, -18, 4?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 5*r**2 + 951*r + 1918. Let y(g) = 32*g**2 + 6656*g + 13424. Let u(a) = 20*q(a) - 3*y(a). Suppose u(p) = 0. Calculate p.\nAnswer: -2, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (4\/(-12))\/(1\/21). Let l(c) = -c**3 - 5*c**2 + 9*c - 8. What are the prime factors of l(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 6241057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -13\/6, -0.2, -4.\nAnswer: -4, -13\/6, -1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**3 + 14*u**2 - u - 8. Let y be h(-14). Solve -2*f - y = -16 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v = 5*q + 23, 2*q + 10 = -0*q for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4617 + 4626. What is the greatest common divisor of 2259 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -o + 80. Let n be 4\/((-3)\/((-36)\/o)). Suppose -4*v = -6 - 2. Solve -5*u + v*q - 19 = 0, -7*u + n*u - q = 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -7.8685 - 0.1315. What is the nearest to -2\/21 in j, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 56482824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 0) + -1 + -3 - (26 - 21).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the second derivative of 5*g**7\/14 - 3*g**5\/20 + 65*g**4\/12 - 9*g - 4. What is the third derivative of y(a) wrt a?\nAnswer: 900*a**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w + 646 + 770. Let o be (-6)\/(-2)*172\/43. Calculate the highest common factor of w and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8384*z**3 - 1787*z**2 - 8378*z**3 - 8385*z**3 + 10847*z + 25146*z**3 wrt z?\nAnswer: -6*z - 3574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153)*-1*6 - ((sqrt(153) - sqrt(153)*-4) + sqrt(153) + sqrt(153))*4)\/(-5*(3*sqrt(225) - sqrt(225))*2).\nAnswer: 17*sqrt(17)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 47\/15 + -3 + (-258)\/(-90). Put -4, y, 4, -2 in increasing order.\nAnswer: -4, -2, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from phnpnpynpn.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l**2 + 116*l - 1437. Let h be n(40). Solve h*i + 4 = 2*c, -43*i - 5*c = -39*i - 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -3*q**2 + 21. Let v be 9 - ((-50)\/(-5) - 0). Let l(z) = z**2 + 1. What is v*d(k) - 4*l(k)?\nAnswer: -k**2 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - (-3 + -4 + 11)) + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 913 = 284. Let w = -406 + q. Are -8 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 112 a factor of 1365840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -83 - 47*a + a**2 + 29 + 24 + 29 to q*a + n + g*a**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/9 at most -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**4 - 4*b**3 + 26*b**2 - 20*b.\nAnswer: -2*b*(b - 2)*(b - 1)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 4*d**2 + 7*d + 4. Suppose -18 = 3*z - 3*g, 5*z + 4*g = -0*z - 12. What is the tens digit of h(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 323252702 to the power of 1\/3, to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 24*h**2 + 116*h - 5. Let n be c(-5). Put 4, 1, n, 71 in decreasing order.\nAnswer: 71, n, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*o**5\/13 + 4*o**4\/13 + 20*o**3\/13 - 16*o**2\/13 - 66*o\/13 - 36\/13 = 0. Calculate o.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1322\/9 less than -146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 5*w = 1 - 42, k - 9 = w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -3*w + 5 - 2 - 5 + 0. Give m(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26872, -107464, -241772, -429790, -671512, -966932, -1316044, -1718842?\nAnswer: -2175320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 255425*p + 400. Let c be m(-8). What is c rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2ff4d5 - 11?\nAnswer: -2ff4e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 3, y: 1, k: 5}. What is prob of sequence yfk?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (o + 2*o + 0*o + (138 - 138 - 14*o)*(-5 + 3 + 3) - 4*o - 2*o + o)*(-5*o**2 + o**2 + 3*o**2) in the form c*o**2 + m*o + g + v*o**3 and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**2 - 59*l - 390. Let p(r) = -r**3 - r**2 + 7*r + 6. Let m = -12 - -7. Calculate the remainder when p(m) is divided by y(-51).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -5*24\/40*-1. Let w(s) = -s**2 + 106*s - 306. Let b be w(d). Let -3\/2*n + 1\/2*n**4 + 1\/2 - n**2 - 3\/2*n**5 + 3*n**b = 0. What is n?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 4*x + 9 = 0. Find the common denominator of -1 - (-1)\/(6\/89) and 1 + 13*x - -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 39\/9 + 8\/(-6). Suppose 0 = -g*f - 5*f - f. Solve -5*y + f*y + 25 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 635, -7, 0.1, 212 in increasing order.\nAnswer: -7, 0.1, 212, 635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13*(-4)\/104*(-4)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 2838455 = 5*f, 174*m - 178*m + 2838451 = 5*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 - 14 = d. Suppose -3*k + 0*k = 2*q - 1445, -2*q + d*k + 1424 = 0. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-6)*27*(-12)\/(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -11*u + 22. Let o be r(2). Let a(f) = -f. Let s(n) = 4*n - 14400000. Let i(d) = -5*a(d) - s(d). Let v be i(o). Round v to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-5 + (-42)\/(-12))\/((-6)\/10). Factor x**2 + 1 + l*x - 1\/2*x**5 - 2*x**4 - 2*x**3.\nAnswer: -(x - 1)*(x + 1)**3*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -138 + 81. Let r be s\/12*(0 - 4). Let y = r - 11. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2473847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the second derivative of -l**3\/2 + 12*l. Let b be (-2)\/(-8) + 10\/(-8). What is a(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t + 2*t + 7 + t**2 + 5*t. Let v be a(-5). Let h(c) = c**3 + 7*c**2 - 9*c. Is h(v) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22695379313 minus -0.3?\nAnswer: 22695379313.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 179369 (base 12) to base 10\nAnswer: 410049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -47 - -52. Suppose -x*l + i + 72 = -2*i, -5*l + i + 64 = 0. What is the least common multiple of l and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 117129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 15*c**3 - 9*c**2 + 9*c. Let v(h) = -7*h**3 + 2*h**2 + h - 3. Let a(g) = -6*g**3 + 2*g**2 - 2. Let w(z) = -3*a(z) + 2*v(z). Calculate 2*r(t) - 9*w(t).\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -4 - -4 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11.64 + 11.64. What is the nearest to g in 1\/3, -17, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 4*k = 0. Suppose 3*r + 4*v - 60 = -k*v, 3*r + 5*v = 63. Suppose 0*n + 4*g - r = -3*n, n - 16 = 4*g. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*c + 3*a + 38 + 13, -3*a + 3 = -c for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**3 - 6*l**2 + 5*l + 58. What is a(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5\/2  (b) -0.2  (c) 73.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 808*p**2 + 43627*p - 252. Calculate o(-54).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 45*g + 4 - 3 + 9*g + (-4*g + 2*g + 3*g)*(2 - 2 + 1) as j + v*g and give v.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(162) + 2 + sqrt(162) + 3 + sqrt(2450)*3 + sqrt(50))*-3*1.\nAnswer: -384*sqrt(2) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3288611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-819)\/(-56) - 2 - 5 and 27\/64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -696, -1156, -1614, -2070, -2524?\n\"Answer: j**2 - 463*j - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 7128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 4*j**2 - 3*j - 14. Let n be l(-6). Suppose 5*s - n - 2 = 0. Suppose -5*q + 2*q + 60 = 0. Calculate the greatest common factor of s and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*i + 1852*u - 1123 = 1853*u, -3*i + u - 101 = 0 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**3 - d. Let m(o) = 3*o**3 - 3*o**2 + 6*o - 1. Let q = 8740 + -8739. Determine q*m(k) + w(k).\nAnswer: 2*k**3 - 3*k**2 + 5*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cquncccuniiuuc. Give prob of picking 1 c, 1 n, and 1 q.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.271, -0.4, 2, -37 in decreasing order.\nAnswer: 2, -0.271, -0.4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = 4*a + 12, -4*a - 5*p - 18 = -3*a. Suppose 2*i - 3*h = -0 + 19, 5*i = -a*h. Suppose -w = -2*w - i*s + 14, s - 11 = -w. Solve 33 - w = 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -6, 2, 3 in increasing order.\nAnswer: -6, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27151?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 205.2366 kilograms to milligrams.\nAnswer: 205236600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.2665 + -94.7335. Which is the closest to -3?  (a) -5  (b) 0.5  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 221892 and 861.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 - 3. Let q(t) = -t**2 - 10*t - 10. Let w be q(f). What is the units digit of (-12)\/3*w - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 10, z: 4}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*u + 3*y + 2, 0 = u - 3*y - 16. Let a be (44\/(-8))\/((-2)\/u). Calculate the highest common factor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171) - (sqrt(171) + sqrt(171) + 3*(sqrt(171) - -1*sqrt(171)) + sqrt(171)))\/(6*sqrt(225)) + 1.\nAnswer: -4*sqrt(19)\/15 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 107*n - 12 = 108*n + 2*m, 0 = 3*n + 2*m + 4. Suppose 4*w = -4*i, -3*w - 2*i + 2 = -0*i. Solve -y + 9 = -4*s, -n*y = w*s - s - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 3*j**2 + 9*j + 6. Let x be k(-5). Let m = -61 + x. Is 6906\/10 - 10\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 30 equal to 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12 + -1103000?\nAnswer: -1102322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 26785378 times 0.4?\nAnswer: 10714151.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 2*m - 13. Suppose 3*x - 7*x = -52. Calculate the remainder when 102 is divided by l(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 45591, 3, 5, -5 in descending order.\nAnswer: 45591, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16 - 16.32. Let l = -1.32 - b. Let x = 215.9 - 216. Which is smaller: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 2*o + 6 = 0, o + 6 = 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -124, -246, -364, -478, -588, -694, -796?\n\"Answer: 2*f**2 - 128*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes before 12:14 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wtwr when four letters picked without replacement from qpqwprtrwqqqpwqw.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-1*(-1)\/(-1))\/(1\/(-4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -906, -409, 414, 1557, 3014, 4779?\nAnswer: 6846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**3 + 2*h**2 + h - 1. Let d be m(2). Let t = -160.4 + 161.8. What is the second smallest value in d, 0.4, t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 267449 and 1339?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.0498  (b) 3  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 2*x**2 + 9*x + 3. Let h(u) = 4*u + 1422 + u - 708 - 712 + u**2. Determine 7*h(m) - 4*w(m).\nAnswer: -m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4631567 + -62?\nAnswer: 4631505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*k = -31*k + 4. Let b be 199 + (-4)\/(k\/5). Let h be (-2)\/(-9) - b\/(-54). Solve 9*s + 5 = h*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 104 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 5*b = 30, n - 2*n = -3*b - 10. Factor 6*x**2 + 2 - 3*x**3 - 4 - 6*x + x**3 + n.\nAnswer: -2*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 200 and 760?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (245\/140)\/((-30)\/(-4)). Let t(q) be the third derivative of -1\/5*q**3 + 1\/48*q**6 + 0 - 8*q**2 - k*q**4 + 0*q - 11\/120*q**5. Let t(u) = 0. Calculate u.\nAnswer: -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 2 d when three letters picked without replacement from {i: 1, d: 1, o: 9}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7930433011?\nAnswer: 2083, 3807217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4690 - 4474. Does 18 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11174 - 5118. What are the prime factors of c?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve y + 102 = -2*l + 116, 2*y = -l + 22 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9089, 9095, 9103, 9113, 9125, 9139?\nAnswer: 9155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 4*n**2 - n - 14. Let h be g(-6). Let u = -954\/7 + h. Let f = 72 + -70. Which is the second smallest value?  (a) u  (b) -0.3  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6218802.\nAnswer: 2, 3, 115163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-11)\/6)\/11*1*3\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4141642438 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -3*l**2 + 7*l - 7. Let s(k) be the second derivative of -k**3\/6 + k**2\/2 + 237*k - 1. Give 4*r(n) + 28*s(n).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3679 - -3678. Sort -2, -6, 11, l, 2 in descending order.\nAnswer: 11, 2, l, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 + 262?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the second derivative of 0*l**3 + 1\/28*l**8 + 0 + 0*l**5 + 0*l**6 + 0*l**7 + 0*l**2 - 1\/12*l**4 - 3*l. Find the third derivative of t(i) wrt i.\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0814172 - 32.2.\nAnswer: -32.1185828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -6*n + 143. Let f be v(13). Let i(o) = o + 1. Let y be i(3). Suppose 5*m = 2*l + f, 3*m = y + 11. Round l to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7865446 is divided by 19184?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 0 = 4*i + 12, -5*i + x + 6 = 0. Is 2307\/(7\/21 - i\/(-3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -206423, -206421, -206415, -206405, -206391, -206373?\n\"Answer: 2*a**2 - 4*a - 206421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 1343 = -13*m. Let b = -28\/45 + -1931\/585. What is the common denominator of 3\/24 + m\/(-24) and b?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 233432 (base 14) in base 4?\nAnswer: 10210331110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -3*u**2 - 3*u + 252. Let v be p(0). Suppose 3*c + 2*x = 68, -3*c - 70 = -6*c - x. What is the highest common divisor of v and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 10*g = 120. Let v be (((-3072)\/(-6))\/g)\/(-2). Is v at least as big as 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 93720767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.1951 to 2 dps.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43 = -2*k - 3. Suppose -204 = -2*b - 4*t, -2*t - 47 = 2*b - 247. Suppose 8*s = b + 62. Is k bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -169\/660 and 167\/30.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*t + 2*t - 3*t)*((0 - 1 + 2)*(0 + 1 + 0) + 1 - 1 + 3) + t + 1 - 1 + t - t + t + (5*t - 2*t - t)*(28 + 52 - 11).\nAnswer: 156*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 9, k: 2}. Give prob of picking 4 i.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g\/(g\/(((g*g*g*g**(-2\/17)*g)\/g)\/g)))*g*g**(-5)*g)\/((g**(4\/9)*g)\/(g\/((g**(-2\/5)\/g)\/g))) assuming g is positive.\nAnswer: g**(-1474\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 at most 468\/5375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 4*g - 3*i + 7, -29 = -2*g - 3*i. Does 70 divide 4\/6 - g\/(126\/(-3768))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -k*p**4 - 56*k*p**3 - 4*k*p**2 - 12*k*p + 2*k + 3600*p**5 - 29*p**2 + p wrt p.\nAnswer: -24*k*p - 336*k + 216000*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**3 - 5289195*s**2.\nAnswer: -s**2*(s + 5289195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**2 - 17*d + 2. Let p be t(8). Find the common denominator of 53\/4 and (1\/6)\/(p\/(-1281)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((52\/(-988))\/((-3)\/(-3)))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*p - 18*p + 56*p - 17*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -253 - -352.5. What is v rounded to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*i + 6 = -19*i, 2*i = -3*l + 45. Solve 5*j + l = u, 3*u + 11 = 14*j - 16*j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*s - 53 = -65 + 140 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4691*t + 4690*t + 65. Solve 0 = -3*w + 67*i - t*i + 19, -25 = 5*i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -5*m + 3. Let z(r) = -5 + 15*r + 0 - 2. Let b(t) = -29*t + 14. Let l(k) = 6*b(k) + 10*z(k). Calculate 3*l(o) - 14*v(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13558 - -13580. Calculate the greatest common factor of a and 6094.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 61 times 150743\nAnswer: 9195323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 10\/28*(-12 + (-68)\/(-5))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*w + 2*w + 3*w + 3 - w - 3 + (1 + 1 - 4)*(0 + 0 - 2*w) - w - 2*w + 2*w - 67 - 12*w + 67 + (-4*w + 4*w + 2*w)*(3 - 3 - 2).\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 637860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the second derivative of -v**6\/180 - v**4\/24 + v**3 - 3*v. Let d(s) be the second derivative of f(s). Calculate d(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 307, -0.1, -4, -5\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 21864069 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-605)\/55 + (-2 - (-565)\/45) - (-5775)\/(-189).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 210 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -709775 and -3.\nAnswer: 2129325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 16*y - 10. Let u(w) = 5*w - 3. Let h(n) = -2*f(n) + 7*u(n). Suppose 0 = s - 2*b + 40, 0 = 7*s - 2*s + 2*b + 260. Let m = -49 - s. Give h(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from {n: 1, x: 4, k: 2, q: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-3\/5)\/w**4*w**(-6)\/w**(-1\/4) assuming w is positive.\nAnswer: w**(-207\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from tttvmtmtjtkktmttt?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 8 = -9. Let w be l*(-6)\/(-9) - 7\/(-42). Let r = -3.4 + 0.4. Which is the third smallest value?  (a) 4  (b) -0.4  (c) r  (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*w = 5*w + 6. Suppose -3*l - w*l = -20. What is the third derivative of -7*d**l + 10*d**4 - d**2 - d**2 wrt d?\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 111 = 42. Which is bigger: 24 or b?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 109, -68, -0.05?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/((w**(-2\/9)*w)\/w))\/(w**4*w))\/(w*w\/(w\/w**(-1)*w)*w)**(-19))**30 assuming w is positive.\nAnswer: w**(-340\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 5 = -0*v. Suppose r - 49 = -5*s, s + v*r + 0*r - 5 = 0. Suppose 45 + 205 = s*n. Does 25 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = 101 - 11. Let p = w - 0. Is (-60)\/p*(-108)\/(-15) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*z - 2*t - 231 - 207 = -190 + 394, -3 = 4*t + 1 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(572)*-2 + (sqrt(572) - (sqrt(572)*1*-6 + sqrt(572))))\/((sqrt(891) + (2*sqrt(891) - sqrt(891)) - sqrt(891))*-1).\nAnswer: -8*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15*n**3*p + 8*n**3 - 10*n**2*p - 179*n*p + 4*n - 3*p + 2 wrt n.\nAnswer: -90*n*p + 48*n - 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -34086073 or -34086070?\nAnswer: -34086070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 126638 - 90039. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 2*m - 34, -18 = -5*m + n + 40. Suppose -p = -j + 4 - 3, -5*p = 5*j + 25. Let g be m\/6 + p\/(-18). Let u(r) = -r**3 + 2*r**2 + r + 1. What is u(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -96 - 85 - q - 11 - 59.\nAnswer: -q - 251","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2226 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14076427 is divided by 48.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22577 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.06 and 33?\nAnswer: 32.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -2*h - 2. Let d(w) = w + 1. Let q = -137 + 75. Let s be (-6)\/(-42) - q\/7. Let x be 2\/(-3) + 14\/3. Determine s*d(u) + x*i(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -60.70462 rounded to one dp?\nAnswer: -60.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 12 = 5*k, -4*x = -3*x + 4. Let f = -4 + 6. Which is the smallest value?  (a) -3  (b) f  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 12:10 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 66, 130, 194, 258?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 27*h + 9. Let m be (-18)\/39 + (-745)\/(-65). Let c(f) = 14*f + 5. Give m*c(d) - 6*s(d).\nAnswer: -8*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 24128 and 4424064?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*k**2 + 7*k**2 - 622*k**3 + 2*k**2.\nAnswer: -622*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*o = 225*o - 187. What is the nearest to 0 in 23, -0.14, o?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 16\/72 - 38\/9. Is (6\/v)\/((-12)\/1192) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 133609?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 126510 + -301110. Round q to the nearest 1000.\nAnswer: -175000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 179 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/3672 and 44\/243?\nAnswer: 33048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 take away 0.04001317?\nAnswer: -0.24001317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i - 2*i + 2*i)*(0*i + 0*i - 3*i**2) + (-5*i + i**2 + 5*i)*(-136*i + 29*i - 283*i).\nAnswer: -381*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-17)\/(-3) - (-12)\/(-18). Let b be 1*10*1 + -2. Suppose j - 3 = -a*r, 2*r - j - b = 2*j. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:28 PM and 11:40 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*p - 27*p**2 - 3*p + 0*p + 13 - 8 wrt p?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-147)\/(-490))\/((-3)\/(-5))*-26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h**2 - 60*h - 63 = 0.\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 33 = -4*u, -122*a - 134*a - 35 = 125*a - 376*a - 3*u - 2*u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 871 a factor of 272912051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, r: 5}. What is prob of picking 4 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 20573205 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Sort -70, 2, 4.\nAnswer: -70, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4065564\/11 or 369596?\nAnswer: 4065564\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1156*b - 77960 = 1136*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(18)*2 + sqrt(24)\/(sqrt(36)\/sqrt(3)).\nAnswer: -1 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 282107\/4 or 70526?\nAnswer: 282107\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -232241042 (base 6) to base 14.\nAnswer: -803cb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-1 + sqrt(1008)) - sqrt(1008).\nAnswer: -72*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (-9 + 46 - 17)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.8 + -0.2. Let q = -0.9 - o. Let m = 0.4 + -0.2. Which is the nearest to q?  (a) m  (b) 0.3  (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 8*z - 5. Let t(v) = 42*v - 24. Let w(x) = 11*q(x) - 2*t(x). Give w(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 261 + -258. Solve 0 = -3*d + j*g + 3, 2 = -3*d + 5*g - 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38684608717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3*-0.337\nAnswer: -1.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -797.0000010178 + 797. Round c to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 469, 766, 1063, 1360, 1657?\nAnswer: 1954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 45*p**2 - 327965*p\/2 + 9110 = 0?\nAnswer: 1\/18, 3644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4842 and 2959.\nAnswer: 53262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -149274 + 5?\nAnswer: -14926a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 200\/(-12)*12\/(-10). Suppose -x = -2*u - 3*u. Suppose 3*b + 267 = 4*v - 0*b, v - u*b - 57 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 35369716 and 15580.\nAnswer: 3116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3342944 is divided by 3634.\nAnswer: 3298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**2 + p - 1. Let h(i) = 4*i**2 - 3*i + 3. Suppose -2 = -2*k + k. Suppose 0*n + 6 = k*n. Let q(l) = n*d(l) + h(l). Let o(x) = -2*x**2. Give o(q(c)).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -80 - (-142 - (-6 + -15))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.17 - -1.47. Which is the second biggest value?  (a) j  (b) 0.7  (c) -1\/7  (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v - 2*v + 8*v. Suppose 4*m - 7 = -5*h, v*m - 3*m = 2*h - 7. Suppose -4*k + 7*k - 33 = 0. Calculate the remainder when k is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -27*s - 31*s + 82*s + 16 - 25*s to v*s + o and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 11?  (a) 101769  (b) 5  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -15.3 + 23. Let i = q + -7.5. Let g = 9 - 10. Which is the closest to -0.1?  (a) g  (b) i  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -64, 112, -3, -14, 4, 19 in decreasing order.\nAnswer: 112, 19, 4, -3, -14, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3.5 + 4. Let x = -0.99 - -0.9. Let u = y - x. What is u rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -23, 77, 367, 943, 1901, 3337, 5347?\nAnswer: 8027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -7*m - 2. Let v be t(-3). Suppose 10 = 6*c - c, c + 128 = -5*h. Let y = v - h. Calculate the greatest common factor of y and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that i**3\/3 - 5*i**2 - 37*i\/3 + 17 = 0.\nAnswer: -3, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 228?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -5188800 to the nearest 10000.\nAnswer: -5190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 3*n**3 - 5*n**2 + 7*n - 4. Let r(x) be the first derivative of -x**4\/2 + x**3 - 2*x**2 + 2*x + 42. Suppose -13 = -2*a + 1. What is a*r(t) + 4*s(t)?\nAnswer: -2*t**3 + t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 3\/428?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 2*h + 23 - 15 = 0, 4*c = -5*h + 26. Suppose 0 = -5*g + 4*p + 19, 3*g + 6*p = p + 4. What is the second smallest value in -0.4, 4\/5, c, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 155 = -z - 459, -5*z = 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12206331, 12206340, 12206361, 12206400, 12206463?\nAnswer: 12206556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1205.258 rounded to zero dps?\nAnswer: -1205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -y**4 - 231480*y**3 - 209429*y?\nAnswer: -12*y**2 - 1388880*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3\/(-1*(-1)\/2). Let q(o) = 75*o - 6. Let m(z) = 62*z - 5. Let v(n) = -6*m(n) + 5*q(n). What is the tens digit of v(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2 and 499460.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 848 - 771.4. What is d rounded to 0 dps?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.128813202 to five decimal places.\nAnswer: -0.12881","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qp when two letters picked without replacement from {p: 2, u: 1, q: 1, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -242 - 26*x**3 + 208 + 176*x**2 - 142 + 23*x + 3*x = 0.\nAnswer: -1, 1, 88\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.539 - -0.139. What is the nearest to -16 in y, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -12 + 0*z - z + 14 + z**2. Let v be n(-3). What is the greatest common factor of v and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*k - 2457432 - 684368 = 0. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**2 + 1266950*o - 16471195.\nAnswer: 5*(o - 13)*(o + 253403)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*(-40)\/8 - (-1 - 8). Suppose 0 = -4*m - a*x + 1216 + 348, -5*m = x - 1943. What are the prime factors of m?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f = -f - 10. Suppose -5*y = -v - 42, -v - f*v - 6 = 0. What is the units digit of 2\/y - (-19)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 3*v**3 - 7*v**2 - 5*v + 3. Let b(l) = 52*l + 2*l**3 - 5*l**2 + 2 - 25*l - l**2 - 31*l. Determine 5*b(j) - 4*d(j).\nAnswer: -2*j**3 - 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -1 - (4 - 1 - 193)*1.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2168477*a**4 + 21372*a**2 - 18?\nAnswer: -52043448*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-50)\/(-15) - 4)*(-42)\/4. Let c(f) = f + 3. Let q be c(i). Suppose 6 = -9*a + q*a. Solve -4*w - a = -26 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*z + 24 = -5*r - 4*z, -5*r - 3*z - 17 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2253990 to the power of 1\/2, to the nearest integer?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3*((-645)\/(-45) - 13). Let y(n) = 12*n + 4. Let x(u) = -48*u - 15. What is a*x(b) - 15*y(b)?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20099 and 1616.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dd when two letters picked without replacement from ddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*n = -30*n - 2*p + 9, -p = 3*n - 17 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -268186 + 268231. What is the remainder when (-203)\/(-1) - (2 + -2) is divided by l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-2\/17)*w*w\/((w*w\/(w**(5\/6)\/w))\/w)*w\/(w**19\/w)*w**(1\/10)\/w assuming w is positive.\nAnswer: w**(-4382\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 - -8.1. Which is greater: -0.4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.7 - -0.668. Let v = 1.968 - m. Let d = -5 - -8. Which is the closest to v?  (a) 0.3  (b) d  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.139863 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.06 take away 269228836.3?\nAnswer: -269228833.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hvht when four letters picked without replacement from {q: 1, t: 1, v: 9, h: 3}?\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.0902 + 21.112\nAnswer: 21.2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -1 + 5*c - c + 4*c - 4*c - c. Let p be (-316)\/(-44) - (-2)\/(-11). Let n(s) = 9*s - 4. What is p*t(y) - 2*n(y)?\nAnswer: 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1bb + -1bb0?\nAnswer: -209b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 85*a. Suppose 20 = -3*d - c, 11 - 47 = 5*d + c. Let n(h) = -h**2 - 3. Let o(z) = -2*z**2 - 8. Let f(j) = d*n(j) + 3*o(j). Give w(f(p)).\nAnswer: 170*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 453 minutes after 9:42 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 4*d**3 - 31*d**2 - 3*d + 26. Let a(o) = 3*o**3 - 21*o**2 - 2*o + 17. Let j(l) = -7*a(l) + 5*p(l). Let u be j(-8). Solve 4*g + 7 - u = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 15) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 120545 - -44?\nAnswer: 120622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 597 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 2249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(396) + sqrt(396)*-1 + -2)*-3 + 3*-2*sqrt(396) + 0)*2)**2.\nAnswer: -1728*sqrt(11) + 57168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*p = 34*p + 4*r + 15, 2*p = 2*r + 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3409317 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -955 + 195 = -38*l. Solve 0 = 3*c + c - l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -p**3 - 135 + 28*p - 247 - 52*p + 24*p in the form k*p**2 + q*p**3 + g + b*p and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 119419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -6*b - 251. Calculate s(-36).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the third derivative of r**8\/42 + r**5\/15 + 2*r**2. Find the third derivative of k(b) wrt b.\nAnswer: 480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 912 is divided by (-63)\/(-2) - (-903)\/258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*u**2*v**3*x - 2*u**2*x**2 + 45565*u*v**3*x**2 - 215*u*v**3*x + 2*u*v**3 - 2*v**3 + 2*v**2*x + 2*v*x wrt x?\nAnswer: -4*u**2 + 91130*u*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**2 + d + 4. Let s be z(13). Let g = 145 + s. What is the fourth biggest value in -5, g, 3, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p + 18. Let b be r(-14). Suppose -346 = -d + l, -b*l = -8*l. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29, 262, 907, 2174, 4273, 7414, 11807?\nAnswer: 17662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -3*s + 201, -4*x + 263 = -0*s - s. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18090, 18100, 18124, 18168, 18238, 18340?\nAnswer: 18480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -176 + 156 = -4*v. Suppose 0 = -v*s - 0*s + 25, -3*s = 2*y - 421. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -131262849*t**3 - 218232936*t**2 + 84849035*t - 7472978 = 0.\nAnswer: -2, 1933\/11457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00029773 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 - 2*m**2 + 2*m - 3. Let p(c) = -4*c + 22. Let v be p(9). Let q(a) = -7*a**2 - a**3 - 6*a**3 - 10 + 3*a**3 + 7*a. What is v*b(u) + 4*q(u)?\nAnswer: -2*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 273 - 282. Let d = -0.1 + -3.9. What is the biggest value in d, 0.2, 0.1, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*z + 146 = -11*z. What is the remainder when z is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 1  (b) 92  (c) 3\/2  (d) 3.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 144 and 272.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 18378 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve t = -i + 4, -18 = -4*i - 7*t + 2*t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = 5 - 0. Let r(t) = 481*t - 1446. Let w be r(3). Which is the smallest value?  (a) w  (b) g  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*i**4 + 96*i**3 - 2*i**2 - 124?\nAnswer: -120*i + 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*g - g**2 + 5*g**2 - 18*g.\nAnswer: 4*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3.2 + 0.2. Let f = -71 - -74. What is the smallest value in f, y, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 92  (b) -0.175  (c) 69  (d) -1  (e) -32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 times 23?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d. Let p be t(-3). Sort 4, 0, p in decreasing order.\nAnswer: 4, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.322884 rounded to 2 dps?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {c: 5, v: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 9, -18 in increasing order.\nAnswer: -18, -7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 90 and 9810?\nAnswer: 9810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from {a: 1, b: 7, u: 6}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3 - (-3 - 1))*-127. Let p = 31 + m. Let n be (p\/36)\/((-2)\/3 - 0). Which is bigger: 5 or n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5781435.6 minus -1167237?\nAnswer: -4614198.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the first derivative of 40*o**3\/3 - 85*o**2\/2 + 10*o - 38. Let y(l) = 0. Calculate l.\nAnswer: 1\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3*((-7)\/3 - -3). Let j be (r*1\/42)\/((-1)\/6). Let v = -1\/6 + 2\/3. What is the second biggest value in -2\/9, v, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 28174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 120 - 20220100121000?\nAnswer: -20220100120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**2 + 12*c - 20. Let l be q(10). Suppose 4*k = -l*k. Suppose k*y = 4*y - 12. Which is smaller: 15\/8 or y?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*t**3 - 31*t**3 - 65*t**2 + 2*t**4 + 64*t**2 in the form z*t**3 + o + w*t + y*t**4 + v*t**2 and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 42\/9 - 20\/(-8)*31146\/1305?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -f5d - 4?\nAnswer: -f61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (2*sqrt(325) + 5 - sqrt(325))**2*-4 - (0 + (-2 + -4*sqrt(325))**2 + 2).\nAnswer: -6609 - 280*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 12*d*h**4 + d*h**3*z + 6*d*z + 2*d + 64*h**4*z - 4*h**2*z + 6*z wrt h?\nAnswer: 288*d*h + 6*d*z + 1536*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 + 3*s**2 + 2*s. Let j be h(-2). Let d be 2\/(-2) - (-14 + 11). What is the remainder when 7 is divided by (-6)\/(d - j - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -1 + (sqrt(11) - sqrt(11)*-1) + 1.\nAnswer: 4 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3423191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (8\/12)\/((-18)\/(-81))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n - 9*n + 4*n + 6.\nAnswer: -4*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + 12 - (0 - (-5 + 9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 5\/(-10)*(-3)\/7*(-14)\/12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/j**(-3\/11)*(j\/((j\/((j**(-13)\/j)\/j*j))\/j))\/j assuming j is positive.\nAnswer: j**(-140\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 2*n + 247 + 271 = 0, 5*j - 646 = -4*n. Suppose 140 - j = a. Solve 0 = -s - 4*s - 2*f - 10, a = -5*s - 3*f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (30\/18)\/(4\/12). Find the second derivative of j*g + 14*g**2 + 3*g + 5*g - 9*g**2 wrt g.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 499675368 to the power of 1\/3, to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-104)\/12)\/((-4)\/(-6)). Let k = 45 + a. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-20)\/2*(-98)\/14. Suppose 4*w + 2*c = r, 4*w + w + c - 83 = 0. What is the greatest common divisor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes before 10:22 AM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 79 = 31. Suppose 0*m + 4*m + u - l = 0, -2*m + 12 = -u. Solve -m*o + 6*a + 12 = 2*a, 0 = 5*o + a - 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 296, 311, 328, 347, 368, 391?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-10)\/(-40) + (9\/(-4) - 1). Suppose -4*m + 17 = -118*h + 119*h, -12 = m - 3*h. What is the closest to m in 1.3, -0.2, b?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 - (-3 + (-76)\/(-18)). Let f = -70.4 + 72.4. Which is the second smallest value?  (a) f  (b) l  (c) 4  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l = 8*l + 2*l + 55 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 3*r. Let i(g) = 6*g. Suppose -2*h + 16 = 8. Determine h*i(u) - 7*y(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((102\/(-9))\/(-2))\/(60\/45) and 13\/109.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41 is divided by (-44)\/(20\/(-70) + (-12)\/7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.43 - -1.5. Let o = p + -7.07. Let g = o - -7.0024. Round g to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**3 - 7*v**2 - 10*v - 13. What is a(-4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 1\/2*p**2 + 214369\/2 + 463*p = 0.\nAnswer: -463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, i: 3, h: 2, c: 7, f: 3, v: 2}. Give prob of picking 1 i and 1 c.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 323 (base 5) to base 6.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 11 = 59. Suppose h - 5 = -i + 6*h, h = -1. Suppose 2*d + 3*n - 38 = i, -41 - 1 = -2*d - n. Calculate the least common multiple of d and j.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 4*a + 22403, 3*c - 7053 - 15355 = -a. Suppose c + 20520 = 13*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.99 times -1.28284?\nAnswer: 2.5528516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -609961*c**3\/5 - 11127688*c**2\/5 - 536009*c - 32490.\nAnswer: -(c + 18)*(781*c + 95)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22844666.\nAnswer: 2, 13, 878641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*r - 3*r - 225. Let m be (-68)\/(-390) + 5\/r. Suppose 5*n = 0, -t - 3*n = t. Is m > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 756\/(-504)*4\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**3 + j**2 + j + 10. Let c = 56 + -48. Suppose 6*r + c - 80 = 0. What is the lowest common multiple of r and n(0)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 59.997 - 60. What is k rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 10986453.3785 and -0.0049.\nAnswer: 10986453.3736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 175713 divided by 37\nAnswer: 4749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 163*o - 1. Let v be a(-1). Let l be (3*(-2)\/(-18))\/(v\/(-8)). Put -0.4, l, 5 in descending order.\nAnswer: 5, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*n + 45 - 61. Let y be 1*(0 + 8\/(n + 4)). Solve -20 = y*o - 0*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, m: 3, r: 4, l: 3, s: 2, t: 3}. What is prob of sequence mtm?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - ((2 - -7) + -17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 917, 3702, 8343, 14840?\n\"Answer: 928*r**2 + r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3, 1, 11, 27, 49, 77?\n\"Answer: 3*j**2 - 5*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = 4*a + 19155, 19155 = 5*g - a - 0*a. Suppose 10*b - g = 7*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 5 + 2*g - 1 + (1 + 30 + 4)*(0*g - 5*g + 4*g).\nAnswer: -33*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 22, -5, -96, 4 in decreasing order.\nAnswer: 22, 4, 1, -5, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16 - 2*p - 2*p**4 + 0*p - 16 - p**3 to the form z*p**3 + b*p**4 + j + w*p + s*p**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 + -9. Let i be 6 + j + 0 + -3. Let k be (-2)\/8 + 21\/52. Do i and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 277663709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4580959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.7 in -0.2, 1, 10, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -0*g - 4*g. Let q = -4 + g. Calculate the least common multiple of 2 + 17 + 2 - -1 and q.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5\/((-15)\/(-9)) - -33. Let s = 0 + 5. Suppose 0 = -i + s*c + 12 + 12, -4*i = 4*c. What is the greatest common factor of i and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 8:41 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen quarters of a microsecond in nanoseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -14*(-27)\/10395*50?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 5*k. Let r(n) = -n - 189 + 3*n + 189. Give r(g(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lrrwwrwhlnnwhnrrlrrw. Give prob of sequence hrn.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 116089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((4 + sqrt(52)\/sqrt(4))**2*-2 + -1 - 4*(1*sqrt(13) + -2 + -1 + (sqrt(13) + sqrt(208) - sqrt(13)))**2).\nAnswer: -1400 + 104*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - 0. Let j be 0 + 1 + (-15 - z). Let f be j\/4 - (-2)\/2. Which is bigger: f or -7\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -83.4, 4, -0.2, 1.2.\nAnswer: -83.4, -0.2, -0.1, 1.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -151546 (base 10) to base 11\nAnswer: -a394a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -4*c**3 + 2*c**2 - 7*c - 23. Let w be q(-11). Let t = -1409 + w. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (60 + 1)\/((-13)\/(-52)). Suppose -l = 5*w - f, -3*w + 721 = 3*l + w. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 259906 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 12\/18*(-6)\/(-2). Suppose a*y + 5 = 23. What is the least common multiple of -1 + 2*1 - -1 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 44073 or 44072?\nAnswer: 44073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -12*o + 120 - 4*o - 120. Let u(q) = -11*q + 12*q + q. Calculate x(u(m)).\nAnswer: -32*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 22 = -7. Let n be (2\/(-5))\/((-2)\/10). Let k(z) = -z**2 - 4*z. Let d be k(-4). Sort n, y, d in decreasing order.\nAnswer: y, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13019 divided by -1\nAnswer: -13019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -52*j**3*w**2 + 33266*j**3*w - 117048*j**2*w**2 + 24*j*w**2 wrt j?\nAnswer: -312*w**2 + 199596*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2374?\nAnswer: 2, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10272408 by 856034.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 122000 and 4400?\nAnswer: 1342000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3323 a factor of 5044314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -54, -79, -106, -135, -166, -199?\n\"Answer: -q**2 - 22*q - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10854)\/(-7236))\/((-9)\/(-168)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m\/(m*(m**0*m)\/m))**(2\/39)\/(m**(5\/3)*m**(-1)))\/((m*(((m**(-2\/5)\/m)\/m)\/m)\/m*m)**11)**17 assuming m is positive.\nAnswer: m**(29132\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -22*r + 21. Let s(h) = -2*h + 2. Let u(v) = -c(v) + 3*s(v). Let d(i) = 0*i + 1 + 3*i - 4. Calculate -11*d(f) + 2*u(f).\nAnswer: -f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -5*i**2 + 107*i + 613. Determine m(26).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is b6038 + -17?\nAnswer: b6021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 - 6. Let g = 92 - 95. Put s, g, 0 in descending order.\nAnswer: 0, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -33.6 - -33.9. Which is the nearest to z?  (a) -5  (b) 0.4  (c) 5  (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3897 - -3629. What is the nearest to 1\/3 in 4, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - s - 8 = 0. Let i(g) = g**3 - 9*g**2 + 4. Let m be i(9). Let k = s + m. Sort -1, k, 0.\nAnswer: -1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:23 AM and 8:07 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1.145  (b) 1  (c) 0.4  (d) -3\/7  (e) 1\/3  (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7563572 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 35 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 259 = 5*c + 244. Let k(r) = -14*r**2 + 38*r + c*r**2 - 38*r. Let j(s) = -6*s + 4*s + 2*s - s. What is k(j(y))?\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 1\/(-6) + (-2958)\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 2*y - 7. Let u be a(6). Suppose u*d - 37 = 3*s, 3*s + d + 22 + 3 = 0. List the prime factors of -41*1*(s - -8).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 0, -5, 0, 21, 64, 135, 240?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*t + 2*t - 20*t - 2 - 29*t - 2*t**2 to s*t + k*t**2 + l and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0006199 to five decimal places.\nAnswer: 0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -322 - -462. Let d(a) = -142*a + 280*a - s*a. Let t(j) = 7 - 3 - 4 + 23*j. Calculate d(t(h)).\nAnswer: -46*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, 0, -2, 2774, -61 in decreasing order.\nAnswer: 2774, 0, -2, -13, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -19*h**2 - 19*h**2 + 242*h**3 - 1 + 38*h**2 as n + x*h + c*h**2 + s*h**3 and give s.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1881.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*p - 594 = -4*p. Let h = p - -64. Let q be 3\/6*4\/(-6). Is h greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/3  (b) 4  (c) -13\/5  (d) 0.4  (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 112*i - 40*i - 87768. Does 23 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 7:44 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**2 - 4*b + 4. Let i(y) = y**2 + 5*y - 5. What is -2*i(u) - 3*j(u)?\nAnswer: u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v = 35*w - 71*w + 31*w, -2*v = -10 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -1843\/618689?\nAnswer: -1843\/618689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-4)*(-2844)\/(-6162).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 139\/186 + 1\/372. Let k be ((-2)\/8)\/((-1)\/6). Which is the third smallest value?  (a) g  (b) k  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 5*f**3 + 8*f**2 - 44*f + 4. Let b(s) = -4*s**3 - 6*s**2 + 43*s - 3. Calculate -4*b(y) - 3*c(y).\nAnswer: y**3 - 40*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -92*t + 100*t + 144. Let g(q) = q**3 + 20*q**2 + 37*q + 28. Give g(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 4544*s**2 + 18179*s + 25. What is g(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 2 = -2*g, -5*g - 2*x + 1 = 6. Let b(o) = o**3 + o**2. Let l(z) = 3*z**4 + 6*z**3 + 6*z**2 + 3*z. Let j(a) = g*l(a) + 9*b(a). Factor j(d).\nAnswer: -3*d*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -558, 0, -11\/2, 3?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-80)\/(-100))\/(3*2\/15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -50 + (-1 - -58) + -65?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -5*t + 32799995, 0 = c - 0*c + 3*t + 8200003. What is c rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*g**2\/9 - 1036*g\/3 - 428168\/9.\nAnswer: -4*(g + 179)*(g + 598)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -5606, -5653, -5796, -6083, -6562?\n\"Answer: -8*f**3 + 9*f - 5607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the second derivative of 0*d**3 + 7*d**2 - 7*d + 0*d**5 - 1\/30*d**6 + 0 + 0*d**4. Differentiate z(s) wrt s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2976 is divided by 135?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*o + 37*o + 54 = -26*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4928 - -6853. What is the smallest common multiple of 77 and m?\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 30831, 41573, 52315, 63057, 73799?\n\"Answer: 10742*k + 20089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.89 - 13654.4299.\nAnswer: -13652.5399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15 + -17. Let b be 143\/(-1540) - q\/(-8). Let c = 153\/140 + b. Is 2 at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 68*t**4 - 1166124*t**3 - 15311664*t**2 + 54231536*t + 6590208 = 0. What is t?\nAnswer: -16, -2\/17, 3, 17162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2979 - d?\nAnswer: 296a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(1584) - (1 + sqrt(1584))) + sqrt(33)\/sqrt(3) + sqrt(11) + -1.\nAnswer: -1 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 10 = 4. Suppose -4*a - l - 2 = -j, j - 2*a = 4. Solve 4*h = -3*n + 12, 5*h - 2*n + j + 4 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 414311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13476791?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -40 divided by -2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.9 + 3. Let h be ((-90)\/135)\/((-52)\/78). What is the second smallest value in h, u, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -0.5  (b) -1\/4  (c) -3\/3781  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 2*z - k - 1, -4*z - 3*k + 2 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 5777768331 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2949\/7 in -4, -1\/3, -0.442?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -823, 1, -15 in descending order.\nAnswer: 1, 0, -15, -823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4424?\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-1 + sqrt(931))**2*1.\nAnswer: -4660 + 70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 8*r**3 + 43*r**2 + 23*r. Let m(o) = o**3 + o**2 + 3*o. What is -7*m(k) + n(k)?\nAnswer: k**3 + 36*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 244388?\nAnswer: 2, 107, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -99 - -100. Let s(m) = -2*m - 7. Calculate the remainder when s(-5) is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*z**3\/5 + 914*z**2 - 13300*z - 872200 = 0 for z.\nAnswer: -890\/39, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 8 = -z, 5*z - 32 = -v - 8. Let q(k) = 6*k**2. Let x(n) = -5*n**2. Determine z*q(t) + 5*x(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(325) + -2 + 5 + -5 + 3)**2.\nAnswer: 60*sqrt(13) + 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1016 - 1016. Solve i + 3*b + 9 = -p, 5*i - 4*b - 12 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 30 or 123\/4?\nAnswer: 123\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -36 (base 12) to base 7.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.174, -1, -219\/7, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*z**6 + 17*z**4 - 584*z**3 + 35332*z**2 wrt z?\nAnswer: 240*z**3 + 408*z - 3504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.02025139 - 281.98004861. Let k = -282 - j. Round k to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 92975503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 364 + -362. Which is the closest to -1\/7?  (a) i  (b) -1\/6  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -52a + -56a?\nAnswer: -a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 306 = 86. Calculate the remainder when i is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 5*h**3 - 1080*h**2 + 6*h - 1285. Determine s(216).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 48 and 11064?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4 + 1\/(-1) + -7 + 3. Let t be 2 + 234\/2 + (-1)\/d. Suppose 9*z - 6*z - t = 0. Calculate the greatest common factor of z and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -8  (b) -0.6  (c) -12.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -786095 divided by 39\nAnswer: -786095\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.03 * -0.5.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 2 w when four letters picked without replacement from wrrwrrr?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18 - -30. Let u be (2 + -1)\/(86\/172). Solve -y = u*o + o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:55 PM and 4:14 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 0 + (sqrt(252) + 1 - sqrt(252)) + 0)*-6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 9811398 divided by 1758\nAnswer: 5581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 22976 - -3?\nAnswer: 22979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(3\/5)*y*y**(-2\/19)*y*(y*y**(-7)*y)\/y**3)\/((y\/(y*y**(2\/9)))**(-1\/3)\/(((y\/y**(-1\/2))\/y)\/((y\/(y*(y*y*y**4\/y)\/y*y)*y)\/y))) assuming y is positive.\nAnswer: y**(-1433\/5130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -15 - -20. Solve 5 = o*x - 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 29177743?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j = 5*s - 5, -4*j + 259 - 295 = 8*s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 99277.39m to centimeters.\nAnswer: 9927739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together -9762 and 55.\nAnswer: -9707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 14384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 27.5 - 1756306680\nAnswer: -1756306652.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbbnxnbbbbxb. What is prob of picking 2 x?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 - -141400431?\nAnswer: 141400433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a + 3*a + 8 = 0. Let g be (0 - 14)\/(-2) + -1. What is the units digit of 3\/a - (-15)\/g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 10) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 0.6  (b) 22  (c) -0.1  (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4685110?\nAnswer: 2, 5, 257, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 31 = 44. Suppose 0 = 4*c - c - s. Put -1, 0, c in increasing order.\nAnswer: -1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the first derivative of p**2 - 398. Let z(x) = 248*x. What is z(r(g))?\nAnswer: 496*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f + 7. Suppose 3*k + k + 16 = -2*s, -5*k = 10. Let q be w(s). Find the second derivative of r + 2*r**3 + 0*r**3 - q*r**3 wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 231, -1\/5, 0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.028 + 4.028. Which is the nearest to 0.1?  (a) 2  (b) g  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**2 - 8*y - 9. Suppose -4*s + s - 18 = 0. Let o be b(s). What is the third derivative of 2*q**2 - 3*q**4 + o*q**4 - 2*q**6 wrt q?\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/9 in 5, 236, -167, -1\/3, 1\/91, 4\/3?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5\/6?  (a) 108  (b) 5  (c) 2\/11  (d) 1  (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 3)*(5*f - 1 + 0*f - 4*f) - f + f + f + (-1 - 4 + 4)*(-f + 4*f - f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11 + 20. Let x(h) = -h**3 + 8*h**2 + 9*h + 8. List the prime factors of x(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/29?  (a) -2  (b) -2\/5  (c) -3.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -15*g**4 - 39*g**3 + 95*g**2 - 29*g - 36. Let i(b) = -15*b**4 - 38*b**3 + 95*b**2 - 28*b - 32. Let o(u) = -4*i(u) + 3*l(u). Factor o(t).\nAnswer: 5*(t - 1)**2*(t + 4)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2 - 6)\/2*(-5 - -1). Let z(n) = 3*n**2 - 14*n + 28. Let d be z(w). What is the highest common factor of 18 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -309, -1217, -2719, -4803, -7457, -10669, -14427, -18719?\n\"Answer: 2*q**3 - 309*q**2 + 5*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1316 = 4*h - 5884. Let x = -2343\/2 + h. Find the common denominator of 17\/8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -2\/5906007?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -28.2 - -28. Let l = 157 - 154. Which is the nearest to 1?  (a) -7  (b) l  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s - 5*x = -4*s - 22, 2*x - 10 = -2*s. Calculate the remainder when 166 is divided by (3\/(-2)*1)\/(s\/(-14)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 3234 - 13594 = 2*n, -4*n = 5*k - 25873. List the prime factors of k.\nAnswer: 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/6?  (a) 2\/633  (b) -202  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -3*-2.14\nAnswer: 6.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -14 (base 11) to base 10\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*k - 73 + 18. Solve 3*g + 2 = -4*a + g, -k*g = 3*a + 12 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the third derivative of g**6\/120 - 3*g**5\/20 - 5*g**4\/12 + 7*g**3\/2 - 21*g**2 + 2. Let x be s(10). Solve 3*f + 19 = -5*r, -r + 4*r = 3*f - x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s**3 + 5151*s**2 - 10293*s + 5145 = 0. What is s?\nAnswer: 1, 1715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 23311 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 4*q - 24. Let c be u(6). Suppose c = -7*w - 683 + 1908. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -53366, -106737, -160112, -213491, -266874, -320261, -373652?\nAnswer: -427047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the first derivative of -p**4\/4 - p**3 + 5*p**2\/2 + 6*p - 10. Let x be v(-4). Solve -5*c + 2*s = -16, -3*c + 7*s + x = 2*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 1 + (1 + sqrt(475) + 1 - (((sqrt(475) - (sqrt(475) + 1)) + sqrt(475) - sqrt(475)) + 5))**2 + 3.\nAnswer: -20*sqrt(19) + 478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 5*p + 6*p - 3*p + 2 - 26. Let y be d(4). Suppose -2*j - 4*u = -y*u - 630, -933 = -3*j + 3*u. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 15379*f**2*p - 3479*f*p - f - p wrt f.\nAnswer: 30758*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -32.095 + -0.405. Let q = -32.6 - n. Sort q, -2, 3\/4 in ascending order.\nAnswer: -2, q, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-14)*69\/46\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 103151 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 3*w + 2*h - 85, 0 = 2*w - 2*h - 52. Let m = -70 - -16. Let l = -27 - m. Calculate the greatest common divisor of l and w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 295 a factor of 25183265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(-5)*s*s*s**0*s)**(-1\/7) assuming s is positive.\nAnswer: s**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 61161 - 1?\nAnswer: 61160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 13475249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -10 divided by 186446\nAnswer: -5\/93223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:57 PM and 5:51 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2c2414 - 3?\nAnswer: -2c2417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1455 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: Sort 1046, 13, 5 in decreasing order.\nAnswer: 1046, 13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7886863068237 + 7.\nAnswer: -7886863068230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 1484*a - 238. What are the prime factors of n(2)?\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 3*f**2. Let w(c) be the first derivative of c**2 + 23*c + 172. Give w(a(k)).\nAnswer: 6*k**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 545 is divided by 248?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y + 1. Let g(v) = -8*v + 13*v + 14*v + 4*v + 2*v - 20. Suppose -3 = 56*b - 59*b. What is b*g(z) + 20*r(z)?\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1729*n**3 + 1911*n**3 - 3443*n**3.\nAnswer: 197*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 2*x**2 - 69*x + 451. What is the remainder when i(7) is divided by ((-4)\/(-2))\/(-4)*-34?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3)\/8 - 156\/(-160). Which is the nearest to 1?  (a) -0.2  (b) n  (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 + 23 - -29) + -81?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -9. Suppose 2*z = -4*o + 18, -5*o - m + 33 = z. Suppose 17 = 4*c + o. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 36.4 - 41.3. Round r to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3131702.61 to the nearest one hundred.\nAnswer: -3131700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 178763070.\nAnswer: 2, 3, 5, 1979, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(136) - sqrt(136)*-1)*6 + sqrt(136) - sqrt(136)) + -1*sqrt(136)*1)\/((sqrt(144)\/(sqrt(15)\/sqrt(5)))\/sqrt(6)))**2.\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + 4*d - 16 = 0, 4*d = 55*h - 53*h + 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 67905, 67904, 67903, 67902?\nAnswer: 67901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -2 + 66*r - 67*r + 9. Let w be m(4). Let j(g) = 3*g + 27. Let l be j(-9). Solve 6 = -a + 5*k, w*a - 3*k + 5*k + 1 = l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1317*k**2 - 609*k**2 - 112*k**3 - 567*k**2 + 30*k**3 wrt k.\nAnswer: -492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(1\/4)*f**4)**(-1\/50)*(f*f*((f**(-1\/3)\/f*f*f)\/f*f)\/f)**38*((f**(-1\/4)\/f)\/f)**(-1\/61) assuming f is positive.\nAnswer: f**(2316239\/36600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d = -4*x - d - 8, 3*x - 30857*d = -30876*d - 67 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -39*s**3 + 5*s + 5. Let g(n) be the second derivative of n**5\/20 - n**3\/6 - n**2\/2 + 3252*n. Give -5*g(l) - u(l).\nAnswer: 34*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0.282, 5.4 in ascending order.\nAnswer: 0.282, 4, 5.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the second derivative of -89\/12*b**4 + 142*b + 0 - 157\/2*b**2 + 0*b**3. What is the first derivative of q(x) wrt x?\nAnswer: -178*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2865, -2\/7, -3.\nAnswer: -3, -2\/7, 2865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 131986?\nAnswer: 2, 65993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = -b - 4*b - 2*a, 0 = -5*b - 5*a for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-42)\/4*6\/(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -19*c - 10. Let w(u) be the third derivative of -3*u**4\/8 - 5*u**3\/6 + u**2. Let j(x) = 6*s(x) - 13*w(x). Differentiate j(q) wrt q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3 + 2 - 453) + 2. Let y = o - -924. What are the prime factors of 6\/(-9)*1 - y\/(-6)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 32818*b**2 + 2*b*l*r**2 + 479*b*r**2 - 8*l*r**2 + 199*l*r + 4*l - r**2 + 6*r + 15 wrt b.\nAnswer: 65636*b + 2*l*r**2 + 479*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-31 - (5 - (-1 + 8))) + -4 + 2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.8857401 to 2 dps.\nAnswer: -5.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:26 AM and 9:04 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + 3*u + u = -13, -4*t = -u + 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 2*n - 5. Let j be m(4). Suppose -60*b + 120*b = -107*b. Sort b, 2, j, 52 in descending order.\nAnswer: 52, j, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 8) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4745005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -34 + 45. What is the smallest common multiple of 17 and x?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/41 in 2, 4, 4643?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**2 + 4696*a\/3 + 1044.\nAnswer: -(a - 1566)*(3*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, -5, 2\/9, -3\/7 in descending order.\nAnswer: 2\/9, -1\/5, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -3*j**2. Let u(o) = 386*o**2. Determine u(w(b)).\nAnswer: 3474*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x + 4. Suppose -5*z - 25 = 0, 4*h + z + 3 = -34. Let l = h - -12. Determine q(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73290289349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*o**3 + 3156668*o**2 - 113636160*o + 1022713776.\nAnswer: -4*(o - 789131)*(o - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1085 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50 + 2*u**3 + 88 - 38.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, -0.1, 0.1, 0.8571, -25\/3 in descending order.\nAnswer: 0.8571, 1\/5, 0.1, -0.1, -25\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/39 + (-920)\/(-299). Solve -17 = -3*s + 5*s - k*j, s + 5*j = 24 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 925 and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 - m**2 - m. Let v(x) = -6*x**3 - x**2 + 3*x + 3. Let i(n) = -5*q(n) - v(n). Does 6 divide i(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 84 and 9552.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 215880073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**2 + 12*k + 13. Let x be t(-6). Let w = x + 95. Solve 4*r - 41 = 5*d, 2*r + d - 2*d - 13 = w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1 and 29755?\nAnswer: 29755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 88966744.\nAnswer: 2, 11120843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 116 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -330.5 and 4.\nAnswer: -1322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 3, i: 1, x: 2, t: 6, v: 4}. Give prob of sequence nvx.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.17 - 1.17. Which is the nearest to h?  (a) 1\/3  (b) 0.3  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 45 and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/(-5) - (-92)\/(-10). Let v(j) = j**3 + 8*j**2 - 14*j - 9. Let u be v(k). Suppose u = 2*f - 74. What is the remainder when f is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2694239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6.70825 + -6.2.\nAnswer: -12.90825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-58)\/70 + (-15)\/(-35)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 742, 740, 738?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 574 is divided by 58?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - (312\/(-18) + -8)) + (-45)\/(-27). Solve 0 = a*x + 21 + 60 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/14)\/(16*28\/(-48608)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (1\/1)\/(1*10\/40)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -43 (base 5) to base 7.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -14801 - -15623. Calculate the remainder when n is divided by 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1808, -1807, -1806, -1805?\n\"Answer: w - 1809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 98104440 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 3351, 6699, 10049, 13401?\n\"Answer: n**2 + 3345*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 293 - 136 - 21 = 0. Calculate the highest common factor of 99 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1251641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-845)\/(-39)*(-2904)\/484\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -22*v**3 + 30*v**2 + 17. Let k(c) = 7*c**3 - 10*c**2 - 6. Let z(s) = 17*k(s) + 6*q(s). What is the third derivative of z(x) wrt x?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3212 - -1224413?\nAnswer: 1233130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = -3*d - 5*y, 2*y + 15 = 5. Calculate the smallest common multiple of d and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.267 - -15?\nAnswer: 15.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4617 is divided by 335?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from efleiffbfviv?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 54, 728, 2554, 6108, 11966, 20704, 32898, 49124?\n\"Answer: 96*y**3 + 2*y - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 41, 42, 43, 44?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4195\/2 in -1\/2, 3\/4, -2\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 5*i + 3433, 15*z - 10*z - 8572 = 2*i. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -5*r - 147, 4*z + 92 = -3*r + 2*z. Suppose -2*i + 912 = -5*v, 5*i - 3*v - 916 = 3*i. Let n = r + i. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2450) + -3)**2.\nAnswer: -210*sqrt(2) + 2459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - ((-3 - -1) + -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 5*d - 18. Suppose -10 = 3*c + 32. Let u = -5 - c. Calculate the remainder when l(14) is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-21)\/(n\/(n**22\/n)) assuming n is positive.\nAnswer: 1\/n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 155876?\nAnswer: 2, 7, 19, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 238765727*y**3 - 231623258?\nAnswer: 716297181*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 2*r + 500 = 0. Suppose -7 + 57 = 2*a + 2*j, 5*a + 2*j = r. Calculate the remainder when a is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 292 + -296. Put 0, -38, k in increasing order.\nAnswer: -38, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 2*s + 239. Let u(x) = 2*x**2 + 1383*x. Give u(j(h)).\nAnswer: 8*h**2 + 4678*h + 444779","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4692488?\nAnswer: 2, 37, 83, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 4*a**2 - 21*a + 46. What is the remainder when 155 is divided by m(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 5 = -2*u, 5*u + m - 20 = 27. Suppose u = r - 0*r. Solve -t + j = 0, 4 = 2*t + 5*j - r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 262152661 divided by 71?\nAnswer: 3692291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:26 AM and 12:39 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 + 16 - 37) + (56 - 34).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 78741.\nAnswer: 3, 13, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 + 3*p**2 + 80. Let y be x(0). Let t be 2\/(36\/19 + -2). Let v = 35 + t. Calculate the highest common divisor of v and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -10*c**3. Let y(f) = -f**2 + f - 1. Let x be y(0). List the prime factors of i(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 28\/6 + 3\/9. Suppose -b*q = -2*g - 8*q - 8, 22 = 3*g - 4*q. Let l = -102.7 + 103. Put -0.4, g, -1, l in descending order.\nAnswer: g, l, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 26 + 16 = 0. Suppose 28 = u + l. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 20 = -0*a. Suppose a*x = -0*x + 8. Suppose 152000 = 4*l - x*l. Round l to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 8051, 16115, 24201, 32321, 40487, 48711, 57005, 65381?\n\"Answer: 2*t**3 - t**2 + 8053*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yuuy when four letters picked without replacement from {y: 5, u: 15}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 106964*x**2 + 0*x + 0*x - 106966*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -4*s. Suppose s = -w + 5. Sort 0, w, -2 in descending order.\nAnswer: w, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -2*q**2 - 238*q - 3957. Let t be w(-20). Solve t*u + 27 = -4*j, -13*u + 17*u + 20 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a - 5*r - 17, -3*r = -2*a - a + 27. Put a, -2, -3 in decreasing order.\nAnswer: a, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 19  (b) -3  (c) 2  (d) -1\/3  (e) 0.0269\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9959*c**4 + 1405*c - 6 wrt c.\nAnswer: -119508*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 864*u - 28458 = 1323*u for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5841658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 1934*h**4\/7 - 3816*h**3\/7 + 1830*h**2\/7 + 52*h\/7 = 0. Calculate h.\nAnswer: -26\/967, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 589579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 18883015257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 6497.55 to the nearest one hundred.\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 533703.7 kilometers?\nAnswer: 533703700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 3  (b) 5  (c) 52\/27  (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2b (base 12) to base 9.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 - 16*o**2 + o + 4. Let s be w(16). Is 22 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50 - 74 = 14*i + 144 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.38 and 0.6?\nAnswer: -0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llrrlrll. Give prob of picking 1 r and 2 l.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 > -4578\/4615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -3*s + 490, -51 = j + 3*s - 299. Calculate the remainder when j is divided by 29.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 s when two letters picked without replacement from {u: 4, s: 3, k: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes after 9:19 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2\/11 + 53430\/286 and 3?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-4*(((sqrt(648) + 1)**2 - sqrt(648)) + 0) + -5).\nAnswer: -10404 - 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 8.88 and 0.06.\nAnswer: 0.5328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t - 41 = 4*v, -5*v + 2*t = -190 + 229 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 1 - 4)*((-64 + 1 + 8)*(-2*z + 5*z - 2*z) + (-4*z + 0*z + z)*(2 - 2 - 3)) as l + b*z and give b.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**2 + 4*k - 3. Let n be b(3). Suppose 2*l - l + 22 = n. Let x = 41 + l. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w - 4. Suppose -5*h - 15 + 3 = 4*b, -2*b - 5*h = 6. What is k(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.5 + -13.5. Let s = b + 11.99979. Round s to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -14*k**2 + 31*k**2 - 19*k**2. Let f(t) = -1. Let o(p) = 2*p + 14. Let y(u) = 28*f(u) + 2*o(u). Determine x(y(v)).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*p + 644 = 14*p. Let m = p + 96. What is the remainder when 20 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -219*s = -4*s - 1290. Sort -2, 29, s, -1 in increasing order.\nAnswer: -2, -1, s, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 828 divided by -6?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(200) + (-2*sqrt(200) - sqrt(200))))\/(-2*(sqrt(324)*-1 + sqrt(324)) + sqrt(324) + sqrt(324)).\nAnswer: -20*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -634a - 4?\nAnswer: -6353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((2752\/(-20))\/(-16))\/(2*(-24)\/(-60))*-12?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -45, 2\/15, 5, -1 in descending order.\nAnswer: 5, 2\/15, -1, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5669 + -4271. Calculate the remainder when q is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lgggpglplgyg. What is prob of picking 2 g?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -340, -5, -3 in increasing order.\nAnswer: -340, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 170999 is divided by 1693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 73125 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 70350 or 70348?\nAnswer: 70348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 14326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 26*c - 34*c + 160. Is (104644\/c)\/(4\/(-100)*-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 85235 less than -574786?\nAnswer: -660021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7367, -7460, -7709, -8192, -8987?\nAnswer: -10172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1244579711 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1662735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 8*u**3 - 15*u**2 + 5*u - 17. Let s be 54\/(-16) + 189\/504. Let c(p) = -5*p**3 + 7*p**2 - 3*p + 8. Let v(k) = s*b(k) - 5*c(k). What is v(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the first derivative of p**4\/2 - 60*p**3 + 73*p**2\/2 - 21*p - 3048. Find the second derivative of k(b) wrt b.\nAnswer: 12*b - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 240 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9769884.\nAnswer: 2, 3, 71, 11467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -93*k - 95*k + 4672 - 724 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.9532 + 0.2692. Round t to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 96251 is divided by 23773?\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*w - 14*w = -130296. Suppose 0*g + z + 5441 = 4*g, 5*z = 4*g - w. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20624a (base 12) in base 8?\nAnswer: 1740732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-19)\/(-18) - 3\/2. Let i = -640\/7 - -3207\/35. What is the fourth biggest value in -2, n, 0.26, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24093362?\nAnswer: 2, 12046681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 209 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.03114178 to 4 dps.\nAnswer: -0.0311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 313 is divided by 111?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8688950.\nAnswer: 2, 5, 173779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10070*w**5 - 3419*w**3 - 555*w**2 + 475679 wrt w.\nAnswer: 604200*w**2 - 20514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*o + 19*o - 12*o)*(-3 + 3 - 2).\nAnswer: -38*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 13 = 2*r, 5*r + w - 14 - 36 = 0. Let m = 14 - r. Let o = -31 - -36. Solve -4*f + u = -3*f - 6, -m*f = o*u + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -60*o + 153 + 327 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*z - 27. Solve 0 = 4*l - 3*t - 7 - z, 0 = -5*l + 3*t + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2752217245 to the power of 1\/3, to the nearest integer?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + 24 = -4*r. Suppose -3*c = 3*l + r, c = -l + 4*l - 20. Let p = c + 24. What is the least common multiple of 24 and p?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes before 5:46 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1*(-1)\/(-6))\/(2\/16).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/6 + 164\/(-12). Let l be (21\/o)\/((-6)\/20). Let w(c) = 0 + c + 7 - l. Determine w(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the second derivative of -i**4\/90 - 14*i**3\/45 - 49*i**2\/15 + 27*i. Factor b(y).\nAnswer: -2*(y + 7)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15 - 56. Let x = -24 - o. Solve -4*p - x = q - 0*p, 0 = -4*p - 20 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.416597 to 3 dps.\nAnswer: 1.417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(-2)\/15*803040\/5736?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 5*g + 3 + 7, -5*c + 25 = g. Suppose -13*k + 1045 + 21 = g. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120)*2 - sqrt(2160)\/sqrt(2))\/(-1*(4*sqrt(40)\/sqrt(4) + (sqrt(120)*2 - sqrt(120))\/sqrt(12))))**2.\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 - 1111212?\nAnswer: -1111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13\/14 + 15\/14. Let m = -13 + 13. Is m at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 0*r + 2\/15*r**4 + 0 + 2\/15*r**3 - 2\/15*r**5 - 2\/15*r**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36940.388 rounded to the nearest 1000?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6 - ((-138603)\/(-138609) + 5). Let p = -13999499\/231015 - b. Which is smaller: -60 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5547 + -44325\/8. Let i = 88\/105 + -6\/35. Do y and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -33 + -566?\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -2*z**3 + 3*z**2 + 15. Let o(h) = -h**2 + 1. Calculate f(g) + 4*o(g).\nAnswer: -2*g**3 - g**2 + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04 minus 261.7?\nAnswer: -261.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -78*n**5\/19 - 24644*n**4\/19 - 2109572*n**3\/19 - 25567792*n**2\/19 - 57373054*n\/19 + 3009732\/19 = 0.\nAnswer: -151, -11, -3, 2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 156412?\nAnswer: 2, 39103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**2 + 531*k + 18266. Determine z(-37).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10346.\nAnswer: 2, 7, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -23311, -23310, -23309, -23308, -23307, -23306?\nAnswer: -23305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the third derivative of 0*w**3 + 1\/10*w**5 + 0 + 0*w + 1\/24*w**4 + 4*w**2. Find the second derivative of o(x) wrt x.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7639 (base 10) to base 4\nAnswer: 1313113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -2*sqrt(931) - (sqrt(931) + -2 + sqrt(931) + sqrt(931) + 1))**2.\nAnswer: -140*sqrt(19) + 23279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:54 PM and 12:19 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-142)\/(-568))\/(3*(-1)\/8)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k**2 - k**4 + 3*k**2)*(-10 + 310*k + 310*k - 622*k).\nAnswer: 2*k**5 + 10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, t: 3, m: 4, w: 10}. What is prob of picking 2 t, 1 m, and 1 h?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + -4 + (5 - (1 - -5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n - 2*n + 15, -4*f = n - 95. Let q be (26\/3)\/((-2)\/(-3)). Suppose -f - q = -4*w. Calculate the remainder when w is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-5*(-1 + sqrt(847) + -2 + sqrt(847))*3)**2.\nAnswer: -118800*sqrt(7) + 3057300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 182223?\nAnswer: 182223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -139998 = 2*b + 2*s, -b = 2*b - 4*s + 210004. Round b to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5511 divided by -33?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n - 2. Let y(a) = -190*a - 21. Let r(m) = -3*c(m) - y(m). What is the units digit of r(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from {n: 2, r: 11}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 - 3) + 9 - (-42)\/(-7). Solve s = 4*b - 4, b = 14*l - 9*l + 16 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r. Let o(m) = -m**2 - 5*m. Let x(c) = -o(c) - 6*s(c). Let a(h) = h**3 + 4*h**2 - 4*h. What is a(i) - 3*x(i)?\nAnswer: i**3 + i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -580 + 585. Suppose 0 = -3*y + s*c - 21, -5 = -3*y - 4*c + 1. Suppose 2*j - 3 = 5*j. Put j, 4, 3, y in decreasing order.\nAnswer: 4, 3, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(833) + (sqrt(833) + 1)*1 + sqrt(833)) + 3*((0 + (1 + sqrt(833) - sqrt(833)))**2 + sqrt(833) + sqrt(833) + sqrt(833)) + 4 + 0.\nAnswer: -63*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12093 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 50.936 from -0.107.\nAnswer: -51.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 + -23 + 1 + -1. Let i = v + 23. Let c(f) = -33*f + 2. List the prime factors of c(i).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 663733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.0214 - 0.0714. Which is the closest to 1?  (a) 0.1  (b) -1  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the first derivative of -l**2 + 53*l + 115. Let i(f) be the third derivative of f**4\/24 - 26*f**2. Calculate i(y(p)).\nAnswer: -2*p + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58 - 78 = 68*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1276 - 2395\nAnswer: -1119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3443420 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**2 + 4*c - 1. Let l(s) = s. Let i(w) = b(w) - 3*l(w). Suppose -5*p = -0*v - v + 9, -2*p + 18 = 5*v. Suppose -v*a + 6 = -2. Give i(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 16603, 16630, 16657?\n\"Answer: 27*a + 16576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 0 = -6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6 - ((-12)\/(-30))\/((-1)\/5). Solve n - 9 = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 223802759.\nAnswer: 223802759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -643 + 673.3. What is t rounded to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 120203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -893834*i**2*s*u**2 - 4*i**2*u**2 - 2*i*u + 6*i - 570*u wrt s.\nAnswer: -893834*i**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2883*c + 543*c - 17608 - 17492 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(-3)*4*3. Suppose 23*y - 18*y = -80. Let u(t) = t**2 + 14*t + 24. Let x be u(y). Calculate the highest common divisor of x and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 + 7*p**2 - 8*p + 5. Let t be h(5). Let d(k) = 15 - t - 15*k + 2*k. Let o(y) = 4*y**2. Calculate o(d(u)).\nAnswer: 676*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1232, 12512, 43146, 102812, 201188, 347952?\n\"Answer: 1613*f**3 - f**2 - 8*f - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2688 < -3182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.1 - -3.1. Suppose -3*t = -8*t + 20, -z + 2*t = 4. Let x(m) = 2*m - 6. Let a be x(z). Sort a, c, -3 in ascending order.\nAnswer: -3, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**2. Let r(j) = -7*j**2 - 7*j - 8. Let g(u) = -6*l(u) - r(u). Let q be g(-6). Suppose -q = -4*p + 5*p. Is p bigger than -5\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -23 + 25. Is (-1022)\/6*(-3 - (m + -2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = 8 - 23. Suppose -8*m + 7*m = 2*m. Solve m = i*g + 5 + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 108 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:37 PM and 1:32 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s - 5 + 21. Suppose s*i + 161055 = -10945. Round i to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -92 = 3*k + 100. Let j = 129 + k. List the prime factors of j.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.03659 + 145.45\nAnswer: 145.48659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -639 and -5381.\nAnswer: 3438459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:10 PM and 12:50 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 2*m - 2 = y, 3*m = 5*y - 22. Let u = m + 13. Suppose 0 = 3*o - 48 - u. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -417627*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: -399+-51.9\nAnswer: -450.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 28 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from npnqqnene. What is prob of sequence nene?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -0*i + g - 5, 5*g - 7 = 3*i. Is 1\/112 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*v + 6 - 10*v + 6*v.\nAnswer: -20*v + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 144 and 36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -1736  (b) -182  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 3, t: 9}. Give prob of sequence tst.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14466 - -14455. Let w = 0 - 1. Which is the closest to 2\/5?  (a) s  (b) -0.5  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 4*f + 50. Let n = f - -28. Suppose -11*t + 451 = 55. What is the remainder when t is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1001 and 1287.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*k + s = 3*k - 92, 44*k = 43*k - s + 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4935 + 6862. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g - 118 = 71. Let u(h) = h**3 + 19*h**2 - 51*h - 3. List the prime factors of u(g).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express w**4 + 14*w**4 + 0*w**4 + (-5 + 4 + 4)*(-5*w**2 + 5*w**2 - w**4 + 4*w**3) as k*w**4 + l + b*w**3 + r*w + g*w**2 and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -2*k**2 + 35*k + 120. Let r(p) = -7*p**2 + 103*p + 360. Let u(v) = 10*f(v) - 3*r(v). List the prime factors of u(-48).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 671364 and 136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(6\/8*(-4)\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -4*x**2. Let z(r) be the second derivative of 35*r**4\/12 + r**3\/6 - 5*r + 15. Calculate z(u(n)).\nAnswer: 560*n**4 - 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = h + 2*h. Let g = h + 2. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*j + 2. Let k be 7\/(35\/12) + -3. Is k smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/228661 or 1?\nAnswer: -3\/228661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 40594*11\nAnswer: 446534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -7*m + 185. Solve -6*q - m = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 922997.2l?\nAnswer: 922997200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lppluulllplplp. What is prob of picking 1 u, 1 l, and 2 p?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 50 - 63. Let r be (116 + 0)*u\/(-26). Let t = r + -48. Calculate the greatest common divisor of t and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -58611749, -58611758, -58611767, -58611776, -58611785?\n\"Answer: -9*t - 58611740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*k**2 + 5*k**2 - 8*k + 4*k**2 - 3*k**2 wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 3}. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - (6 + -10 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -209469, -418940, -628411, -837882?\nAnswer: -1047353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of c*g*r*s + c*g*r - 3*c*g*s + 2*c*g + c*r*s - 33*c*r + 7*s wrt r.\nAnswer: c*g*s + c*g + c*s - 33*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n - 3*i + 13 = 0, -4*n - 2*i = 46 - 18 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**2 + 138*f + 1808. Calculate z(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2664451.\nAnswer: 2664451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-230)\/20)\/((-2)\/212).\nAnswer: 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -22345245022 - 4?\nAnswer: -22345245030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -3*j - 2. Let u(w) = 5*w + 4. Let s(v) = -7*m(v) - 4*u(v). Let p(g) = 2*g + g + 0 - 4*g + 1. Let k be (1 - 4)\/(0 - -1). Calculate k*s(i) - 5*p(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 138 divide 66734875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*a**2 + 8 + 10 - a**2 - 6 - a in the form t*a + g*a**2 + k and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 18 = -4*x, 5*r = 2*x + 3*x + 75. Solve 10 = 4*n + 2*q - 0*q, -2*q + r = 5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 23*d**3 + 17*d**2 + 20*d - 17. Let v(g) = 5*g**2 + 2 - 8*g**3 + 4 + 7*g**2 - 12*g**2 - 7*g - 6*g**2. Determine -17*v(q) - 6*w(q).\nAnswer: -2*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -33\/4, 2\/5, -3\/1270, 0.\nAnswer: -33\/4, -3\/1270, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**2 - 876089*x - 876090.\nAnswer: (x - 876090)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 6*v - 315 = 0. Let p = -377\/6 - v. Which is the closest to -2\/3?  (a) -2  (b) p  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 99994, 200301, 300658, 401089, 501618, 602269, 703066, 804033?\nAnswer: 905194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*u**3 + 7*u**3 - 5*u**3 - 3*u**3 + u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 124576 divided by 17?\nAnswer: 7328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k + 60 = -5*p, 0 = -3*p - 7*k - 1211 + 1225 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:39 AM and 9:49 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 - 4*j**2 + 6*j + 16. Suppose 0*r = 6*r + 36. Is 11 a factor of s(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -214 - -216. Suppose -60 = -q + 4*p, -7*q + 4*q - v*p + 124 = 0. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -91 + 83.1. Let t = -8 - g. Let f = -0.3 + t. Sort 4\/3, f, -1 in ascending order.\nAnswer: -1, f, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (5 + -5) - (2 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/160*4)\/((-3)\/12)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 921933850?\nAnswer: 2, 5, 2039, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10 and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7905, -15797, -23689?\nAnswer: -31581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 30838 and 15419?\nAnswer: 30838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide 203 by -1.\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 10*j + 72. Let g(o) = 5*o + 36. Determine 5*g(q) - 3*n(q).\nAnswer: -5*q - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100161 (base 7) to base 11.\nAnswer: 11773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 2251*u - 2499. What are the prime factors of l(13)?\nAnswer: 2, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2182*p**4 + 2*p**2 - 2 + 0*p**2 - 100*p**3 - 2184*p**4 as f*p**2 + r*p + s*p**3 + l*p**4 + t and give s.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 11 = b, 5*g - b = 8 + 1. Find the third derivative of -76*l**g + 2*l**3 + 10*l**4 - 3*l**4 + 3*l**4 - l**3 wrt l.\nAnswer: 240*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(14) + (sqrt(378)\/sqrt(9))\/sqrt(3))\/(sqrt(224)\/sqrt(8)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (5\/(90\/(-16)))\/(12\/(-8)). Let g = x - 235\/351. Let d = -33\/91 - g. Which is bigger: -12\/17 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**2 - 1146206*x - 75658308.\nAnswer: 2*(x - 573169)*(x + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9818 + 10621. Solve -783 = 10*p - o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -761 divided by -10837.\nAnswer: 761\/10837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -934069\/32 + 29192. What is the common denominator of 25\/48 and m?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3\/7, -5, 22, -230, -12?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 6717*f**2 - 243*f - 1473. Is s(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes before 2:13 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(7) + 1)*4*-4.\nAnswer: -16*sqrt(7) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2464439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -24 + 13 + 15*n**3 + 9 as h*n + q*n**2 + c*n**3 + k and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6705 and 30465?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f - 5*z + 23744, -5*f - z = -4223 - 114377. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -84 + 81. Sort h, 0.5, -1 in descending order.\nAnswer: 0.5, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - (-145)\/(-55))\/2 + 126\/154?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9145996 and 1780.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 - 4 = f. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4353, 1\/7, -5, -1 in descending order.\nAnswer: 0.4353, 1\/7, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -9  (b) 37  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 5671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 203665656 divided by 50916414\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 447523787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 87*i**3 + 88*i**3 + 134*i**3 + 112*i**3 - 481*i**3.\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {y: 3, j: 1, v: 2, k: 3, g: 1, z: 5}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 8*v**2 + 24*v + 36. Let z(p) = 7*p**2 - 6*p. Let j(x) = -6*x**2 + 5*x. Let y(c) = 6*j(c) + 5*z(c). Let l(n) = h(n) + 5*y(n). Factor l(i).\nAnswer: 3*(i + 2)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -199, -378, -555, -730, -903, -1074, -1243?\n\"Answer: y**2 - 182*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 7*x - 4. Suppose 0 = -17*k + 3729 - 3882. Determine w(k).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the first derivative of u**3\/3 - u + 1. Let i be 5*(-2)\/5*4\/8. Determine b(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + 0. Let p = -128 - -107. Let t be (-63)\/18*6\/p. Which is the nearest to -0.1?  (a) 5  (b) o  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 238 and 12.56529.\nAnswer: 2990.53902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 31, 0, 1, 171, -2, -4 in ascending order.\nAnswer: -4, -2, 0, 1, 31, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -35*d**2 + 20*d**2 + 55 + 16*d**2 as u*d**2 + s*d + y and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 5086073, 5086074, 5086075, 5086076, 5086077, 5086078?\n\"Answer: d + 5086072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 6 and -424031.\nAnswer: -2544186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(-6) + (-438213)\/24174 + 18.\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 600247 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 2*d - 48, 1152*n = 1153*n + 8. Solve -2*b = 8*k - 14, d*b + 2 = 2*k + 10*b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000565686 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.0705 - 426.0705. Let c = -425.9 - n. Let i = 1654\/23 - 72. What is the nearest to 0.2 in 0, c, i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -3\/9353 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*i = 12*i + 15. Let v be (-462)\/(-12) - (-2)\/(-4). Suppose 25 + v = 3*m. Solve m = -2*g + 3*t, 22 + 3 = i*t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 12 = 4*b, 0 = 4*b - 6*j + 11*j - 19 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*g + 919 - 887 = -5*a, -2*g + 8*a = 5*a + 18 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 266 (base 10) to base 2.\nAnswer: 100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s**3 - s**3 + s**3)*(37*s - 73*s + 28*s + 2).\nAnswer: 16*s**4 - 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 110\/25*(-4150)\/(-20).\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(252) + (sqrt(252) - 4*-1*sqrt(252)) - (0 + -1 + sqrt(252))) + -2)*5)**2.\nAnswer: -1500*sqrt(7) + 157525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/52716, -2\/9, -99, 0.3.\nAnswer: -99, -2\/9, -1\/52716, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -17, -116, -383, -902, -1757, -3032, -4811, -7178?\n\"Answer: -14*q**3 - q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: d9 (base 16) to base 4\nAnswer: 3121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g\/g**(1\/5)))**(-16))**(-44) assuming g is positive.\nAnswer: g**(704\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6\/6 - (1 - 1). Let m(r) = 19*r - 1. Is 18 a factor of m(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/5 of a decade in years?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and -0.216.\nAnswer: 0.0648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13906 + 13914. Let g(v) = v**2 - 4*v + 2. Let w be g(4). Let i(x) = 5 - w + 2 + 14*x. Let u(p) = -9*p - 3. What is h*u(f) + 5*i(f)?\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -27776, -32354, -44782, -68984, -108884, -168406, -251474?\n\"Answer: -654*b**3 - b**2 + 3*b - 27124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 2036 = 5*k, -p + 488 = 12*k - 16*k. Suppose -75*b = -69*b - p. What is the highest common divisor of 63 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26 = -5*c + 2*p, -3*p - 554 + 583 = -5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 91692 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 57507 - 34258. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/144*4 - 26\/(-12). Let d be -1 - ((-5)\/(-15))\/(v\/(-12)). Let x be 1*-1 - 101\/(-99). Do d and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 3*n**4 - 360*n**3 - 11667*n**2 - 36108*n + 121716 = 0?\nAnswer: -23, -6, 2, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (98\/6)\/(2 - (-30)\/(-18)). Determine m, given that 10*m + 26 - y*m + 6*m**2 + 4 + 3*m**3 = 0.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - c = 32. Let r be 1 + -1 + (-6 - c). Suppose 0 = r*n, x + 3*x - 4*n = 48. Calculate the greatest common factor of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 344645817?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3970*h = -3982*h + 72. Solve -145 + 115 = h*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1369?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 77664877 is divided by 38832429?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 17414 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3106880 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -67*d**3*n**3 + 12*d**3*n**2 + 1087*n**3 wrt d?\nAnswer: -201*d**2*n**3 + 36*d**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4\/10)\/((-3)\/(-15)). Suppose -2*n - 2*j + 4 = 0, n + 0*j - 8 = r*j. Solve -n*q + 0*q + 4 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -228*d - 1122. Let l be v(-5). Solve -3*f + l = -i + 20, 3*i = -f - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, v: 1, g: 1, l: 1, u: 1, q: 1}. Give prob of sequence ilig.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*f**4 - 28*f**3 + 60*f**2 - 36*f.\nAnswer: 4*f*(f - 3)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 284, 515, 702, 833, 896, 879, 770?\n\"Answer: -2*a**3 - 10*a**2 + 275*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 4*q**2 + 1101*q + 8814. Determine t(-267).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -74 + 74. Suppose 24066 = -c*d + 6*d. Let n = -2674 + d. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -131.39, -5 in increasing order.\nAnswer: -131.39, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 1 + 3 - 3. Let h(u) = -3*u - 2. Calculate h(a) + k(a).\nAnswer: -3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(98) + -4*(sqrt(98) + 0))*-6)**2.\nAnswer: 31752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2483070523 is divided by 325.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 > 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1010\/23 + 28002\/667. Is j > -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 5  (b) -5  (c) 1\/11  (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 48*f - 23*f - 21 - 22*f to i*f + q and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(156) + sqrt(156) + (sqrt(156) - (sqrt(156) + -5*sqrt(156)*-4)))\/((sqrt(12) - (sqrt(12) - 5*sqrt(12)))*5) + -1)**2.\nAnswer: 36*sqrt(13)\/25 + 4837\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-198)\/162*(-10)\/22*9\/(-30).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the third derivative of -b**7\/210 - b**6\/60 - 353*b**4\/12 + 382*b**3\/3 - b**2 - 2*b - 47. What is the derivative of s(d) wrt d?\nAnswer: -4*d**3 - 6*d**2 - 706","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -25*z**2 + 4*z - 4. Let p(u) = -u**2 - u + 1. Give -n(d) - 4*p(d).\nAnswer: 29*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 16) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**2 + 4*z + 3. Calculate d(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6 times -997?\nAnswer: -598.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-105)\/2310*55*((-4)\/15)\/(1\/33).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -196 + 47. Let i = a + 276. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4692344 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -6*w + 6. Suppose 5*o = 4*y - 55, -w*y + 7*y = -3*o + 4. Let k(m) = m**3 + 8*m**2 + 4*m - 3. Is 6 a factor of k(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13 + -2. Let k = b + 21. Suppose 0 = -2*c - 2*g + k, 0*c - g - 1 = -c. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n + 2*n = -16. Suppose 2*r + 9 = 2*p - 35, n = -2*r. Calculate the greatest common divisor of 140 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 46*b**2 + 182*b + 33. Let z be q(-4). Solve 5*k = 4*m + z, 10*k - m + 16 = 14*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 205 times 5282\nAnswer: 1082810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -24*y + 80. Let t be x(4). Let l(d) = d**3 + 20*d**2 + 39*d + 5. What are the prime factors of l(t)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1*(-3 + 1) - -101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*t + 24206 + 46822 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53\/5 of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1506595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56 = -9*q - 101 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 21 and 2121?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-43 - 4311\/(-99))*11\/69\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -257, 887, -7 in ascending order.\nAnswer: -257, -7, -5, 887","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let o be 5*2\/(-45)*-3. Let h be 6\/(-4)*(-16)\/48. What is the smallest value in o, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**2 + 3*l + 250. Does 3 divide m(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92026?\nAnswer: 2, 11, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + 2. Let x = 0.04 + -0.06. Let f = -0.08 + x. Put f, d, 5 in increasing order.\nAnswer: f, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*r**2 + 1034*r**3 - 1 - 1035*r**3 + 2*r + 43*r**4 - 38*r**4 in the form d*r**2 + i*r + g + h*r**4 + x*r**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (22\/(-4))\/((-3)\/(-4))*(-30)\/(-20)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1b + -7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/5*((-1140)\/(-312))\/(-19).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 416736 and 162064?\nAnswer: 2917152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of a*l*t**2 + a*l*t - 1028*a*t**2 + l*t**2 - 104*l*t + t**2 + t wrt t?\nAnswer: 2*a*l - 2056*a + 2*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -4*k**2 + 230*k. Let g(d) = -26*d**2 + 1496*d. Let n(p) = 5*g(p) - 32*t(p). Let q(j) = -j. What is q(n(u))?\nAnswer: 2*u**2 - 120*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes after 7:22 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.0525 + -7.0425. Let z = a + 1.29. Let o = z + 6. What is the closest to o in -5, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6274 and 156169271?\nAnswer: 3137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -12*l**5 + l**4 + 13*l**3 - l**2 - l = 0?\nAnswer: -1, -1\/4, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 15, -129, -2, 0, -5 in descending order.\nAnswer: 15, 3, 0, -2, -5, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 378 and 1890?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 2 c, and 1 h when four letters picked without replacement from {h: 5, c: 3, k: 5, n: 1, q: 4}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(252) - (sqrt(252) + sqrt(252) + 1)).\nAnswer: -6*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 9*y - 5*y**2 + 4*y**2 + 0*y**2 - 5. Let z be v(8). Suppose -z*g = -g. What is the third biggest value in 0.5, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -84163, -168468, -252773, -337078, -421383, -505688?\n\"Answer: -84305*q + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**2 - 1. Let w(h) = h**2 - 148675*h + 1 + 148675*h. Determine 2*k(d) + w(d).\nAnswer: 3*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -2, -16, -52, -122, -238, -412, -656?\n\"Answer: -2*d**3 + d**2 - 3*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 218898 - 218865.0218. Let v = c - 33. What is v rounded to 3 dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 918540 divided by -324?\nAnswer: -2835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (9\/(-12))\/((-1)\/24). Let k = 20 - l. Suppose -9*c + 2*c + 4*c - 3*c**k = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - c = -44. Which is smaller: -57\/5 or c?\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2041251, -2041252, -2041253, -2041254, -2041255?\nAnswer: -2041256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, -63\/5, -3, 5 in ascending order.\nAnswer: -63\/5, -3, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 226 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10533?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (138*p + 36 - 36)*(2*p - 2*p - 3*p) + (-1 + 3 - 1)*(0*p**2 - 3*p**2 + 2*p**2).\nAnswer: -415*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 3:28 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 12*p = -1708. Let v = 25 - p. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*i**2 - 2*i**2 + 4*i**2)*(361 + 29*i - 361) + 5*i**3 - 6*i**3 + 5*i**3.\nAnswer: -83*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -5*s + 18, -4*h - 15 = -3*s - 2*h. Suppose -o + 37 = 35. Sort s, o, -4.\nAnswer: -4, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -240, -502, -800, -1140, -1528, -1970, -2472?\n\"Answer: -h**3 - 12*h**2 - 219*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 462 - 123*r + 265 + 115*r)*(2*r - 3*r + 2*r).\nAnswer: -8*r**2 + 729*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 12*x - 84. Let z be w(7). Is z at most as big as -18\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -12*r**2 - 3*r - 7. Let y(v) = 18*v**2 + 5*v + 11. Let f(o) = 8*h(o) + 5*y(o). Let s be f(1). Let l be (-4)\/s*(2 + 7). Solve 5*m - 1 = -l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 16\/12 + 2\/(-6). Let x(w) = -3 + w + 2 + 2 - 2*w. Let g be x(-2). Solve -t = 5*h + l - g, 3*l + 11 = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00223337608 to 7 dps.\nAnswer: -0.0022334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1412081 and 121.\nAnswer: 15532891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 11177 or 11183?\nAnswer: 11183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 104487982 divided by -2\nAnswer: -52243991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 2*r**2 - 4*r + 570. Let d be h(0). Round d to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzuzyyuzllezzzyezu. What is prob of picking 1 l and 2 z?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -7*g**2 + 3*g**2 - 5*g**3 - g - g + 3*g**3 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3568 or -3603?\nAnswer: -3568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 433488326 to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/3, 2\/71, 120, 1\/6?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -33.4 - -33.9. Which is the fourth biggest value?  (a) -1\/4  (b) 4  (c) -1\/48  (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1014\/(-5))\/((-12)\/90). Suppose 936 = 7*f - s. Calculate the highest common divisor of 39 and f.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*r + 0 - 1 + 5 + (25 - 27 - 13)*(-2 + 2 - 2*r)*(7 - 25 - 41) as k + l*r and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -200 = -2*n + 3*z + 280, 2*z - 720 = -3*n. Suppose 5*c = 915 - n. Suppose 5*x - c = 2*x. What is the highest common divisor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.4  (b) 1  (c) -24  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 7, o: 1, v: 6}. Give prob of sequence lvvl.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 11*v - 30. Let p be (-11348)\/(-36) - (-2)\/(-9). Suppose -3*f + 929 = -4*q, 4*f + p - 1549 = v*q. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.547597 + -1.352369. Let h = -2.831 + -0.069. Let p = h - a. Round p to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7589 is divided by 422?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**4\/9 + 3548*r**3\/9 - 1184*r**2 + 10660*r\/9 - 3554\/9.\nAnswer: 2*(r - 1)**3*(r + 1777)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1195214 divided by -3\nAnswer: 1195214\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 10\/3 and -5*3*6\/(-99).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 39, 77, 111, 135, 143, 129?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(6*(-4)\/16)*2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**3 - 6*b**2 - 16*b - 52. Let l be r(-5). Differentiate -101*v**2 + l + 61 - v - 26 + 56 + 15*v**2 with respect to v.\nAnswer: -172*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:03 AM and 1:45 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 3*u - 1. Let y be (-96)\/(-32) + (1 - 6). Give l(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/j**0)**47\/(j**(-3\/4)*j*j**(-1)))\/(((j**(-1)*j)\/j)**(-26))**(3\/20) assuming j is positive.\nAnswer: j**(877\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kxo when three letters picked without replacement from klmeoxl?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dl when two letters picked without replacement from baddddadlddddl?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*c + 34*c - 6 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l + 10. Let a be y(-17). Suppose 0 = 2*z + i - 2 + a, -5*z = -2*i + 49. Let c = 4 - z. Solve -r + c = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 99*o - 779. Determine c(7).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**3 + v**2. Let t(r) = r**3 - 5*r**2 - 2. Let f = 22 + -17. Let n be t(f). Let p(a) = -4*a**2 - 2*a**2 + 4*a**3 + 2*a**3. Give n*p(k) - 10*b(k).\nAnswer: -2*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-2028)\/3380)\/((-6)\/(-20))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -25, -1, 451, -3 in increasing order.\nAnswer: -25, -3, -1, 3, 451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46*y**2 + 116*y**2 + 48*y**2 - 207*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2 - 2)\/(-4)*3. Suppose 0 = z*h - h. Suppose -2*c = 4, -g + h - 1 = -c. Put 2\/7, 4, g in descending order.\nAnswer: 4, 2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 67*a + 110. What is the hundreds digit of p(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -103 = -4*b - 7. Let m(z) = z**3 + z**2 + 31. Let n be m(0). Let l = b - n. Is l greater than or equal to -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 320*d - 541*d + 291*d + 287*d - 348*d.\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**2 + 91*k - 585. Let d be q(84). Sort 0, d, 10, 4 in ascending order.\nAnswer: 0, d, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 141\/110 - 11\/10. Suppose 0*c = -c - 5, -2*m - 2*c = 12. Sort m, o, 14, -3 in descending order.\nAnswer: 14, o, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -345*o**3 - 3*o**2 - 7*o - 7. Let l(w) = -230*w**3 - 2*w**2 - 5*w - 5. What is 5*i(g) - 7*l(g)?\nAnswer: -115*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1140581 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of ((-26674694)\/905)\/((-4)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1138 + 1854. What are the prime factors of q?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 (base 9) in base 7?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 108 + -73. Suppose 5*t + 25 - 120 = 0. What is the remainder when a is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19448 - (38\/57)\/(2\/(-9)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 946 and 262331003?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 13\/4 of a millennium?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**0\/(t**(3\/7)*t))\/((t\/t**(4\/5))\/t*t**(2\/7)\/t))**4)**(9\/5) assuming t is positive.\nAnswer: t**(108\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1587348?\nAnswer: 2, 3, 7, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.5 - -0.2. Let w = -18.72 + 19. Let r = 2.72 + w. Sort -0.5, r, y in descending order.\nAnswer: r, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 352 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 38 = 2*g, 3*d = -4*g - 0*g + 60. Let m be (-3)\/((-4)\/(d\/18)). Let p(q) = -q + 8. Let w be p(4). Sort -0.1, m, w in descending order.\nAnswer: w, m, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -12aa843 - 26a?\nAnswer: -1300002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3\/4 + 939*s**2\/2 + 54315*s\/4 + 100575.\nAnswer: 3*(s + 15)**2*(s + 596)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 7*j - 5*j. Calculate the remainder when j is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (10\/(-12) + 507\/234)*654. Calculate the greatest common divisor of h and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 125229\/35 - 3579. Let f = g - -10\/7. Let o be 1\/2 + 1\/4. Put o, -4, f in increasing order.\nAnswer: -4, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 980398.\nAnswer: 2, 23, 21313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6801611323.\nAnswer: 13, 523200871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes after 4:20 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) 874  (b) 0.41  (c) 0.1  (d) -5  (e) 37  (f) 1  (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 - 2. Let l(r) = -h - 5*r + 0*r**2 + 10 - r**2. Let x(u) be the first derivative of u**3 + 11*u**2\/2 - 9*u + 147. Calculate 7*l(v) + 3*x(v).\nAnswer: 2*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -9a + -1d?\nAnswer: -b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 277988 and 12?\nAnswer: 833964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 226\/(-350) + (-4)\/(-14). Suppose 6751*i = 6575*i. Is g at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 17.536 to one dp.\nAnswer: 17.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 - 0. Suppose -4*v = -16 - d. Find the third derivative of 5*m**3 + 2*m**2 - 5*m**3 + m**v wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 65 + -71 + 14 + 0 - (-2 + 25)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*k - 17 = 28 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 3\/4, -1, 1\/4, 6\/41, -0.3, -1420?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -5, -15, -37, -77, -141, -235, -365?\n\"Answer: -w**3 - 3*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 244 and 4941.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(275)\/(sqrt(270)\/sqrt(6)))\/(-3*(sqrt(176)\/sqrt(4))\/sqrt(4)).\nAnswer: -sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, w: 3}. Give prob of picking 3 w.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -152*y - 26720 = -160*y. What are the prime factors of y?\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9997 - -15255. Calculate the greatest common factor of f and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17849819 is divided by 1555.\nAnswer: 1529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.5 + 0.2. Let z = 3.3 + s. Let t = -3.1 + z. Which is the closest to 0.1?  (a) 3\/2  (b) 1  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 519905 to the power of 1\/2, to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 AM and 2:39 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 - 0. Suppose -2*p = -f*u + 68, -3*u + 2*p = u - 90. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (-1*sqrt(66)\/sqrt(6) - sqrt(11)) + 4)**2.\nAnswer: -8*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 110 and 990.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 45 - 28. Suppose -w + q = -16. Is 17 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 544 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1790539?\nAnswer: 1790539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 57*f + 265. Give b(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -9, -3\/2, -1\/4, -1\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 3*a = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 75.54, -15, -5, -2\/5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 733, 727, 709, 673, 613, 523, 397?\n\"Answer: -m**3 + m + 733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 4*r - 5 - 2 = 0, 0 = -5*u - 5*r + 35. Solve u - 6 = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.129 times -216887?\nAnswer: -27978.423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -136*o**2 + 45*o**2 + 3*o**2 + 25 - 5*o**2 in the form j*o + v*o**2 + g and give g.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 16*o**2. Let z(q) = q**2 - 124*q. Give z(y(c)).\nAnswer: 256*c**4 - 1984*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -41\/3286 and 72\/28985?\nAnswer: 3072410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uvvvvuuvuuvvvvvuvv. Give prob of sequence uvu.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1824597 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-39)\/(585\/(-20))*6\/20?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 46, 112, 226, 412, 694, 1096, 1642?\n\"Answer: 4*d**3 + 38*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 11897, 23798, 35699, 47600?\n\"Answer: 11901*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 100320013230 (base 4) to base 11\nAnswer: 2551a45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -662*m - 655. Calculate d(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.37 in 1, 4, 53, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 - 2)\/((-1)\/(-13)). Suppose 0 = -5*y - 3*b + 2352, y + y + b - 940 = 0. Let w = -483 + y. Which is smaller: w or j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the second derivative of 5*p**4\/24 + 7*p**3\/6 + 10*p**2 - 2*p. Let v(h) be the first derivative of c(h). Let z(m) = m + 1. Calculate -v(n) + 4*z(n).\nAnswer: -n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:28 PM and 10:15 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q + 2. Let u be n(0). Let l be 4*(-1)\/10*-15. Suppose 5*d - 4*v = -v + 9, l = -u*v. Solve 0*o = -2*o + t - 2, -t + 4 = d for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*j + 50*j - 1426 = -346. Solve -w + j*w = -27*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 236142 is divided by 78709.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/6714 and 34\/105.\nAnswer: 234990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*a + 21*a = 0. Suppose 2*p - 2*u = 182, a*u = 2*u - 4. Does 14 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -337, -9, -2, 2, 4 in increasing order.\nAnswer: -337, -9, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 440, -0.6, -1\/7, 0.3, 0.1?\nAnswer: 440","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 5, p: 1, h: 1, a: 4, x: 1, e: 1}. What is prob of picking 1 d and 1 p?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 26083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 12 = 2*f, 0 = -2*u - 4*f - 6. Let s(y) = -y**2 + 6*y + 6. Let i be s(u). What is the greatest common divisor of 77 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 265 = 5*q - 40. Suppose -5*z = -436 + q. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 124*b**3 + 52*b**2 - 46*b + 1. Let n(u) = 165*u**3 + 67*u**2 - 61*u + 1. Determine -7*n(f) + 9*z(f).\nAnswer: -39*f**3 - f**2 + 13*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -12332 - -20?\nAnswer: -12312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.08182022 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 8629085?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 9*z - 6*z - 397 = 0, -3 = 3*z. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -64 + (-40 + 41 + (33 - 1) - 16).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -32 (base 5) to base 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -30*m**2 + 699*m - 2430. What is v(19)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*t = -76*t + 200 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-324)\/510)\/(-6))\/((-153)\/255).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 384 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nv when two letters picked without replacement from {d: 5, v: 3, t: 1, n: 1, g: 4}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = 2053 - 8363. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 26*c**4 + 0*c**4 - 10*c**4 + (3*c + 4 - 4)*(-2*c**3 + 0*c**3 + 3*c**3).\nAnswer: 19*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 210903202 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16 - -18. Let d(u) = -u**2 + u**f + 7*u**2. Let m(z) = z. Calculate d(m(t)).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 126211 is divided by 76.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 3*b**3 - b**2 - 2*b - 1. Let t be r(2). Let s be (-6)\/t + 54\/10. Suppose -122 = s*u - 332. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ltqt when four letters picked without replacement from {l: 5, s: 2, q: 4, t: 3, m: 5}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 149319396 a multiple of 5958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/1482480 and 79\/1720.\nAnswer: 63746640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**2 + 73672*g + 1105530.\nAnswer: -2*(g - 36851)*(g + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 20 and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 + -4. What is the third biggest value in -0.5, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/164800 and 87\/64.\nAnswer: 164800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -76*f**2. Let y(j) = -7*j. Let x(h) = 23*h - 10*h - 8*h. Let n(o) = -3*x(o) - 2*y(o). Determine n(k(s)).\nAnswer: 76*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*6*((sqrt(42)\/sqrt(2) - sqrt(21) - sqrt(21))*4)\/(sqrt(300) + (sqrt(300) - (sqrt(300) - (sqrt(300) + 1*sqrt(300))) - sqrt(300))).\nAnswer: 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 171070 (base 8) in base 4?\nAnswer: 33020320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*y**3 + y**2 - y**2 + (-102*y + 110*y + 158*y)*(y**2 - 4*y**2 + 2*y**2) to the form w + g*y**2 + i*y**3 + l*y and give i.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -6*h. Suppose -2*i - 2 + 8 = h. Solve 3*v + i*u + 3 = -0, -v = 3*u + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) be the third derivative of -o**4\/12 - 2*o**3 - 3*o**2 + 4. Let m(v) = v**2 + v. Let d(t) = 2*t**2 + 3*t. Let h(x) = d(x) - 3*m(x). What is b(h(f))?\nAnswer: 2*f**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ehehshhwlhhem. Give prob of sequence hlw.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-47 + 47 - 13*m + 0*m - 4*m + 3*m - m - m - m - 2 + 2*m + 2 + 2*m + 2*m - 2*m + (0*m + 4*m - 3*m)*(2 + 1 - 1))*(-3*m - 2*m + 4*m).\nAnswer: 11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1485 from -2767.\nAnswer: -4252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3.26, -9\/11, -1, 1\/2.\nAnswer: -1, -9\/11, 1\/2, 3.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (48\/(-12))\/((-9)\/(36\/16)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 80 and 113944.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -2 - 6. Find the third derivative of x - 2*r**2 - 2 - 2*r**3 + 0 wrt r.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3074370889?\nAnswer: 12263, 250703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -7 (base 9) to base 2\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13133*d - 13133*d + 47*d**3.\nAnswer: 47*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 91 + (-3 - -5) + -3?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -4*d**2 + 25*d + 595. Determine a(-19).\nAnswer: -1324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the third derivative of -43*f**9\/504 + f**7\/105 + 28*f**5\/15 - 2*f**2. Find the third derivative of d(q) wrt q.\nAnswer: -5160*q**3 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 56*x**2 + 3*x - 5. Let y be r(-3). Let j(h) = 54*h + 3. Let v be j(-3). Let s = y + v. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2330321*b**4 + 42*b**2 + 9*b - 11221 wrt b?\nAnswer: -55927704*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the second derivative of -z**4\/12 + z**2 + 215*z. Let l(d) = d**2 - 2. Determine -7*l(p) - 6*y(p).\nAnswer: -p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -47 (base 13) in base 6?\nAnswer: -135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1688, 130, 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*m**2 + 165750*m**3 - 288*m - 167176*m**3 + 288*m in the form t*m + f + g*m**3 + d*m**2 and give g.\nAnswer: -1426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (40\/(-32))\/(-5) - (-10)\/(-24).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*c**2 + 1754022*c = 0. Calculate c.\nAnswer: 0, 584674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 207 = 7*s + 32 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18 - 21. Sort -1, j, 10.\nAnswer: j, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -23\/128 - 6751\/896. Let c = q - -148\/21. What is the nearest to c in -0.1, 0, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 226\/16 + (-101)\/808\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -73 + -24 - (-180 + 133)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**3 + 2*c**2 + 3*c + 1. Let w(y) = 32*y**3 + 1. Let n be w(1). Suppose -4*b - n = -b. Let v = -13 - b. Give x(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 4 = 0, -3*q = -2*y - 8*q + 291. Find the third derivative of -18*p**6 + 5*p**6 + 160*p**2 - y*p**2 wrt p.\nAnswer: -1560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 830135623?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -24+10690591\nAnswer: 10690567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132*x - 44*x - 264 = 0. Let z(l) = -5*l + 5. Let a(g) = -5*g + 6. Calculate x*a(y) - 4*z(y).\nAnswer: 5*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the second derivative of -h**2\/2 + 291*h - 2. Let z(d) = d**3 + 3*d**2 + d - 2. Let x be 0 + 0 + -1 + 2. Determine x*z(a) - 2*g(a).\nAnswer: a**3 + 3*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -38*c - 2638. Determine g(-67).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -459\/310 >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1472 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 1440320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -177 - -196 - (0 - 9).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 less than 0.18912166406932?\nAnswer: 16.18912166406932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 20 + 0 = 0. Suppose 4*r + 11 - 29 = -10. Sort 0, -2, z, r in decreasing order.\nAnswer: z, r, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1897 + 1895. What is the closest to 1 in d, -1, -0.088, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*u + 17*u = -2*y, 3*y = 3*u - 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.980496 rounded to two decimal places?\nAnswer: 0.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Do -92.2 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56 = -3*q + 4*m, m + 808 - 822 = -q for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.043005682881 to six decimal places.\nAnswer: 0.043006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -2*x + x - 17, 0 = -2*l - 3*x - 27. Let q = l - 0. Is 1*87\/(-9)*q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8715669 divided by -91?\nAnswer: 8715669\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, -1016.1, -3, 5 in descending order.\nAnswer: 5, -2\/3, -3, -1016.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 8, q: 5}. What is prob of picking 1 m and 2 q?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the first derivative of -5\/3*l**3 - 4*l + 1\/4*l**4 - 1\/2*l**2 + 3. Calculate a(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8096 and 184.\nAnswer: 8096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6371 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 143\/6 and -23\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -6*v**3 - 468*v**2 + 442*v + 25. Calculate d(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 25599031 divided by 5\nAnswer: 25599031\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + (3 + 6 + -14 - 56) + 9.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/4 bigger than 3\/31054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i - 3. Let v be q(5). Suppose -3*b + 18 = 3*t + 3, -3*t - 9 = -5*b. Let f = v - b. Is f smaller than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d in 2*d**2\/13 + 53891140*d\/13 - 53891142\/13 = 0?\nAnswer: -26945571, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 358508 or 358505?\nAnswer: 358508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/((2\/(-3))\/(8\/15))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -43*a**2 - 3*a - 2. Let y be h(-1). Let s be 4\/14 - (-12)\/y. Let f = -3 - -2. Put 4, f, s in decreasing order.\nAnswer: 4, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -1 + 11*k + k**2 + 2 - 6*k + k**2. What is m(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 383435.3 years?\nAnswer: 383.4353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -147475036 less than -147475037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3096 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of -h**7\/35 - h**5\/30 + 3*h**2 + 8. Let q(j) be the second derivative of l(j). Find the third derivative of q(n) wrt n.\nAnswer: -144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 4*x**3 - 4*x**2 + 8*x - 14. Let j be n(6). Let r = -480 + j. Let g = 513 + r. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*v - 146*v - 871 = -3746 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4385198)\/(-3) + 6\/(-9). Let k = z + -752862. Let c = -498870 + k. What is c rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3da + -53?\nAnswer: -43d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 194*p**2\/13 + 574*p\/13 - 24\/13 = 0.\nAnswer: -3, 4\/97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1\/10 - ((-357147)\/30 - 1).\nAnswer: 2, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7293 and 6864?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -9*q**2*z + 7713*q**2 - 392*q*z**3 - 2*z**3 wrt z.\nAnswer: -9*q**2 - 1176*q*z**2 - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -18440 by 9730.\nAnswer: -1844\/973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes after 1:29 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8168 + 7438 + 22323 + 86*s**4 - 84*s**4 + (-2*s**4 + 0*s**4 + 3*s**4)*(1 + 0 - 2).\nAnswer: s**4 + 37929","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 687989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.19 + 0.01. Suppose -2*i - 3*v = i - 42, -2*v - 35 = -5*i. Let k be i\/(-3) - 125\/(-41). Which is greater: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 93 - (-5 + -30 - -56 - 23)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 36\/240*-16 - (-1 + -3)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*j + 785*j = -393*j + 162*j - 47775 for j.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 60 - 63. Which is the third biggest value?  (a) -2  (b) 0.5  (c) o  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 0*k = 2*y + 72, -3*y + 52 = 2*k. Let o = -17 + k. Suppose -d = d - 12. Calculate the highest common factor of d and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2, 944 in increasing order.\nAnswer: -2, 4, 944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j**3 + 4*j + 2. Let c be 1 - (3 - -3) - -2. List the prime factors of v(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -6) + (7 - 5) + -9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**2 - 790*l + 38322. Give s(52).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 188 and 37036?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -60*l**2 + 8*l + 63. Let t(j) = 60*j**2 - 7*j - 56. Give -6*i(d) - 7*t(d).\nAnswer: -60*d**2 + d + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4718?\nAnswer: 2, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 943.\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -2*c - 56. Let w = c - -22. Solve -6*g - 4 = 3*s - 4*g, 5*s + 4*g = -w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 + -9e0a7?\nAnswer: -9e0ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1191*a**3*x**2 + 6*a**3 - 559*a**2 + 2*a*x - 2*a - 147*x**2 wrt x?\nAnswer: -2382*a**3 - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q + 167 - 44. Calculate the greatest common factor of 6 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7*(-15)\/420*(-16)\/22.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 13\/(260\/(-1943020))*((-6)\/(-2))\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*y = 43*y - 28*y - 182 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**2 + n + 1. Let m(y) = 3*y**2 + 2*y + 1. Suppose -3*o + 2 = -8*v + 3*v, -3*v - 5 = 2*o. Let u(x) = o*m(x) + 2*i(x). Factor u(b).\nAnswer: -(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (228\/266)\/((-3)\/(-7)). What is the closest to 5 in j, -4, -1\/4, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -101*x**3 + 3*x**2 + 8*x + 7. Is j(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, f: 1, h: 3, s: 3, x: 1}. What is prob of picking 1 x, 1 h, and 1 f?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 51 + (-3 + 0)*1. Let w = x + 31. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**2 + v. Suppose -3*x + 5 + 4 = 0. Let f(t) = 65*t**2 - x*t - 33*t**2 + t - 30*t**2. Calculate 3*f(y) + 5*i(y).\nAnswer: y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 26916623 and 460471?\nAnswer: 296082853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3931800 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 475787 is divided by 7208.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -510 - 169 + 246 - 494 - 2*k in the form w*k + q and give q.\nAnswer: -927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1028 - -3837. Calculate the common denominator of v\/336*2\/(-5) and 41\/39.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.2 + -0.1. Let u = 0.0339 + -0.0539. Let i = 4 - 4.1. Which is the closest to i?  (a) u  (b) g  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*z = 14*z - 131. Let v = z - -134. Solve -2*m + 1 = -2*k - 5, 5*m + v*k = -1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -412 + 276. Let b = y - -135.929. Round b to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 + 5 + 1)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -514500 to the nearest 10000.\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 4, n: 4, l: 7}. What is prob of picking 2 q and 2 l?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 195*n = -8905 + 18850 for n.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 86.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 112918 less than 3525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/527 or 0?\nAnswer: -3\/527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-3 + 0 + sqrt(117) + 2 + sqrt(117) + -3*(sqrt(117) + 0)).\nAnswer: -15*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*l*l\/(((l\/l**(2\/23))\/l)\/l))\/l)\/l**(-19)*(l*l**(-2\/55))**(-12))**10 assuming l is positive.\nAnswer: l**(26624\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(1 + sqrt(153)*-2).\nAnswer: -6 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(2 + 1 + 2 + sqrt(5)).\nAnswer: 6*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = 3*m - 3 - 11, -4*m + 6 = -5*h. Suppose 0 = -v + m*z - 4, -2*z + 7*z - 18 = -2*v. Solve -v = 5*a - 9*a, -19 = -5*c + a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9\/11?  (a) -2  (b) 13\/8  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 670 - 610. What is the remainder when p is divided by 26?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*k**2 + k**2 + 0*k**2)*(-7 + 2 + 3 + (-1 - 1 + 0)*(41 - 14 + 54)).\nAnswer: 656*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 14*i**2 + 205*i - 2537. What is r(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -34, -41, -4, 4 in decreasing order.\nAnswer: 4, -4, -34, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(2352) + (-5 + (sqrt(2352)*-5 - sqrt(2352)) - sqrt(2352)) - (0 + 0 + sqrt(2352))))**2 + 0.\nAnswer: 7840*sqrt(3) + 461092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 9 - 31?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -31959*a + 40416.\nAnswer: -31959","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 41540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/306 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2123407 is divided by 707798?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8\/36 + (-29)\/9. Let y(h) = 2*h**2 + 4*h. Calculate y(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 92, -12081, -11 in decreasing order.\nAnswer: 92, -11, -12081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 9756?\nAnswer: -1\/9756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes after 1:48 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62 - 15 = 4*p - 5*c, -p - 2*c - 3 = 0. Let k(j) = 2*j + 25. Let q be k(p). Put -24, q, 1 in increasing order.\nAnswer: -24, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/54*2*-3*6. Suppose -1 = d - r - 4, 3 = -4*d - r. Suppose 0 = -n*x - 4*b + b + 1052, -b = d. Does 21 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 + 242*k - 5783. Does 3 divide z(132)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 6, -5, -4, 5 in decreasing order.\nAnswer: 6, 5, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.87859 - 0.8697002. What is a rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11110 - -10100011?\nAnswer: 11000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -102*z - 42*z**2 + 36*z**3 + 42*z**2 - 39*z**3 as c + y*z + r*z**3 + w*z**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 367*i = 365*i + 10. Suppose -5*j + 3980 = i*o, 5*j = 4*o + 3*j - 3190. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q + 1. What is the smallest common multiple of j(-4) and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y + 0*y + 2*y)*(4 - 3 - 2)*(-3*y + 3*y - y**2 + (3*y + y - y)*(0 + 0 + y)).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -14103 (base 7) in base 11?\nAnswer: -2968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssgsssssggsssggsssss. What is prob of picking 4 g?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-6)*622\/933.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 - 2 - 2)*(-1 - x**2 + 1) + (4*x - 3*x**2 - 4*x)*(1 + 10 + 0) - x**2 - x**2 + 0*x**2 in the form a + v*x + j*x**2 and give j.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -747\/859 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*a**3 + 2*a**3 - 4*a**3 + (-1 + 1 + 1)*(0*a**3 - 2*a**3 + a**3)*(-1099 + 3492 + 4575).\nAnswer: -6967*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 3*n - 4*m - 26, 4*m - 2 = -3*n. Suppose -2*t = -21 + 1. Let l = t - n. Calculate the smallest common multiple of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in seven quarters of a millisecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -200646278407.\nAnswer: -200646278409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 192112 or 192163?\nAnswer: 192163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 119094926*h**5 - 913*h**2 - 12174*h - 1 wrt h?\nAnswer: 7145695560*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1215 (base 9) to base 10.\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-7))\/(38\/133)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (85\/(-40)*2)\/(3 - (-52)\/(-32)*2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-1*sqrt(45))\/sqrt(9) - (2 + sqrt(5) + sqrt(5) + 0 + -3*-1*sqrt(5)).\nAnswer: -6*sqrt(5) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**2. Let c(n) = -218842*n**2. Determine d(c(w)).\nAnswer: -47891820964*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 120310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-9)\/15 + (-462)\/30. What is the remainder when 111 is divided by ((-161)\/46)\/(2\/b)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 22 + -16.4. Let p = -0.4 - b. Let a = p - -8. What is the biggest value in -2, a, -1\/8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10 and 6055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2 - 62*t**2 + 121*t**2 - 53*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -5*c**3 - 3*c**2 - 17*c - 38. Let t be i(-5). Calculate the greatest common divisor of 6 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -a*l**2*q + 99*a*l**2 + a*l*q + 4*a*l + 2*a - l**2*q - l**2 + 4271*q wrt l?\nAnswer: -2*a*q + 198*a - 2*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*t - 2 = -13*t - 4*a, -t + 3 = 2*a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r - 4*i = 31, 5*r + 1846*i - 1426*i - 775 = 0 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + 3*k)*(-k - 3*k**3 + k) + (-k + 1 + 10 - 4*k**2 - 2)*(2*k**2 + 3*k**2 - 4*k**2).\nAnswer: -13*k**4 - k**3 + 9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 5*a**3 - 125*a**2 - 1530*a + 4. Calculate y(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 9312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -89935\/139 - -647. Let k = 292\/973 + l. Suppose 5*m - 4*m = 0. Which is greater: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sssqsoqorvorrsvqrr. What is prob of picking 1 q and 3 o?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -55*m**2 + 55*m**2 + 0 + 4*m**3 - 4. Let n(j) = -4*j**3 - j**2 + 3. Let o be (3\/5)\/((-6)\/(-30)). Let z(g) = o*y(g) + 4*n(g). Factor z(a).\nAnswer: -4*a**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 864284.9 millimeters in meters?\nAnswer: 864.2849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes after 8:28 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 130416927 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7.8 in -2, -5, -1738, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eibemereb. What is prob of picking 1 e and 1 i?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*a**3 - 3*a**3 + 2*a**3 - 2*a**2 - 4*a**3 as k + n*a**3 + u*a + m*a**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -1624*f**2. Let r(u) = -u. Calculate m(r(d)).\nAnswer: -1624*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -31806*i + 35177425. Give t(1106).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 6*u**3 + 505*u**2 + 93*u + 790. Calculate q(-84).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5119*x + 5124*x + 4*k = 17, 4*x - 7 = -k for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the third derivative of -j**4\/12 - j**3\/2 - 2*j**2. Let k be a(-8). What is the highest common factor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (182\/(-248) - (-6)\/8)*-4.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35641?\nAnswer: 29, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/2013115 or 1?\nAnswer: -2\/2013115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 57341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*u - 3981 - 5679 = 0. Let a = 546 + u. What is the least common multiple of a and 18?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -11250.5 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 421736 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 69*a**2 + 3113*a + 170. What is r(-45)?\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-44)\/154*2\/4*(6741 - 14)\/(-31).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -3*d**2\/8 + 116898351*d - 9110149644346134 = 0.\nAnswer: 155864468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 226 is divided by 77?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**2 - 3*c + 3. Let h be g(3). Suppose -9 = -p - 2*p. Suppose -2*m + 2*t = t - 4, 5*m = 5*t + 5. Solve -m = p*n + h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.01 + -1.09. Let u = 1 + y. Let k = 3 - -2. Which is smaller: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-49)\/(-35))\/((-6)\/10). Sort -3, c, -0.1, 13 in ascending order.\nAnswer: -3, c, -0.1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 330 and 124740.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**3\/6 - 9*k**2 - 162*k - 972.\nAnswer: -(k + 18)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put together -764.221 and 3.7015.\nAnswer: -760.5195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 2 + 0 - 2 - 4115*m + 2059*m + 2058*m. Let w(f) be the second derivative of f**3 - 7*f**2\/2 - f. What is w(u(b))?\nAnswer: 12*b - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the second derivative of -f**4\/12 - 734*f. Let q(h) = -2*h + 1. Determine q(d(k)).\nAnswer: 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of -5*k**4\/3 - 16*k**2 - 40*k + 37. Let h(o) be the first derivative of l(o). Find the first derivative of h(v) wrt v.\nAnswer: -40*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 307645?\nAnswer: 5, 13, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 387 and 243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 36 or 16088\/443?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8673\/8 or 1084?\nAnswer: 1084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -284*f - 14133 = -131993. Calculate the greatest common factor of 20 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -44939, -94723, -144507, -194291, -244075?\nAnswer: -293859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) + -2*sqrt(1053) + sqrt(117) + -1)**2.\nAnswer: 28*sqrt(13) + 2549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72 + 84 = 4*g. Suppose -g*a - 27 + 87 = 0. What is the remainder when a is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27098*-0.2376.\nAnswer: 6438.4848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-29)\/(13398\/(-56))*3\/2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*a + 12*a - 136*a**2 + 30*a**2.\nAnswer: -106*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v - x - 1 = 0, v + x - 188 = -183 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.5, -2\/129, 1\/5, -5, -1?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22552 = 21*h - 13*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 243*f - 122*f - 125*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (3 + -10)*(-26)\/22*(415 - 426)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 639624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 57305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llb when three letters picked without replacement from {v: 5, l: 3, b: 5}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 13068 divided by -13068?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -197*n + 4 = -193*n, q - 953 = 5*n. Is q a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*n**3 + 5*n**3 - 13 - 12 + 25.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-3)\/(((a\/(a*a**(-15)))\/a)\/a))**10 assuming a is positive.\nAnswer: a**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 48\/5 of a meter?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 3 - 4*s - s + 0 - 5. Is 19 a factor of t(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -78, -269, -464, -663, -866, -1073?\n\"Answer: -2*p**2 - 185*p + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/5 and -26\/62661?\nAnswer: 313305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 12 = -8*l + 6*l, 2*l + o = 10. Suppose 4*j = -l*p + 7124, 3*p + 11824 - 4735 = 4*j. List the prime factors of j.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -41195 + 123580\/3. Let v = -12.4 - 1.6. Sort y, -5, v, 2\/9.\nAnswer: v, -5, y, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -6*f. Let i(d) = -1. Suppose 3*p - 1 + 4 = 0. Let j(h) be the first derivative of -2*h**3\/3 - 4*h - 4. Let o(x) = p*j(x) + 4*i(x). What is o(t(v))?\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 42281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -91 - -96. Solve 5*r - d = 2*m, 0 = -3*r + 5*r + m + 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 220 + 38. Let f = v - 258.00000282. Round f to 7 decimal places.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4\/5  (b) -213  (c) 11631\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-257 + 257 + 17*k + k**2)*(-2*k**2 - 1 + 1).\nAnswer: -2*k**4 - 34*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6741 = -286*t + 1035*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sekkxwkkikkxkw. What is prob of sequence iiwx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -3*r + 4. Let q be g(0). Let y(c) = c**3 - 4*c + 4. What is the units digit of y(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -3\/2  (b) -0.08  (c) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = -4*b - 316879991, -43*b + 237659991 = -46*b - 3*c. Round b to the nearest one million.\nAnswer: -79000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5543072?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 + 0)\/(-1 - -6). Suppose y = 5 - 3. Suppose -15 = -5*q - 5*i, -4*q + 21 = -y*q + 5*i. What is the second smallest value in q, d, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b**2 - 3*b**2 - 2*b**2)*(3*b**2 - 2*b**2 + 0*b**2) + 85*b**4 + 43*b**4 - 3*b**4.\nAnswer: 122*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c + 24 = -4*g - 2*c, 7*g - 23*c + 10*c = -12*c - 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 150 and 19455?\nAnswer: 194550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/7, 4, -55, -1\/4.\nAnswer: -55, -1\/4, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-12)\/(-20))\/((-6)\/(-70)). Sort 4, -2, r in descending order.\nAnswer: r, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nhn when three letters picked without replacement from vvvnnnnnhnnvnnf.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 15321727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - (-18 + 1 - (1 + -10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**2 + 2944*l - 49765. Give b(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -1026*r + 487250. Calculate v(475).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from jqjqjjjjjljlfqljqu.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 7*w = -5*c + 558, -3*w + c + 428 = 0. Let s(y) = -w + y + 142. Let n(t) = -10*t**2. Determine n(s(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 828 is divided by 104.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 366 is divided by 100.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/((-18)\/45)*(-36)\/450. What is z in -6\/5*z + 8\/5*z**3 + 4\/5*z**4 - j*z**5 - 4\/5*z**2 + 0 = 0?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 9) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 plus -17132011?\nAnswer: -17132011.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from brbbbbbb. What is prob of sequence bb?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + -1. Let v(b) = -b**3. Let g be v(h). Is (-5)\/20 - (-98)\/g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**2 - 3219*p - 9630.\nAnswer: -3*(p + 3)*(p + 1070)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3224665.\nAnswer: 5, 644933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 26\/36 - 318\/1431\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5596, 5602, 5608, 5614, 5620?\nAnswer: 5626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 139*u + 181*u - 317*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -237.2 from 0.\nAnswer: 237.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lla when three letters picked without replacement from xllaaaaaaxal.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 65*b**2 + b + 2. Let q be x(1). Let c = q - 68. Sort 3, -4, 1, c.\nAnswer: -4, c, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 4  (b) -5  (c) 1  (d) 84651  (e) -2\/31  (f) -3  (g) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.6893 and -1214.\nAnswer: 2050.8102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1415 (base 7) to base 9\nAnswer: -672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 998*r**2 + 4*r - 4*r.\nAnswer: 998*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 70928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is (-15 + 770)\/(0 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 627*x = 646*x - 589 for x.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 501034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 893621561*r**2 - 893621537*r**2 + 3.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 122 + 113032?\nAnswer: 113220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**8*i*i)\/((i**(-3)*i)\/i)*(i*(i\/(i*i\/(i\/((i**(3\/5)*i)\/i))))\/i*i)\/i*i**8 assuming i is positive.\nAnswer: i**(102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**3 + x**2 - x + 16. Let k = 33 - -39. Suppose 0 = c - 7*c + k. Calculate the lowest common multiple of c and r(0).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f**3 - 4*f**2 + 964*f + 5959. What is b(-6)?\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**3 - 6*q**2 - 5*q + 7. Let k = -1 - -4. Suppose 5*h - k*l + 5*l = 27, 3*l - 9 = -3*h. What is the remainder when f(h) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13589513 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 0*h + 4*x = 80, 0 = -4*h + 3*x - 75. Let o = 29 + h. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 15 and 33261.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**3 + 1. Let o(u) be the first derivative of -2*u**4 - u**3 + 9*u - 250. Let k(r) = -3*r. Let m be k(6). Let q(x) = m*w(x) + 2*o(x). Factor q(l).\nAnswer: 2*l**2*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.2557 + -0.0557. What is the nearest to -1 in -2\/3, 5\/3, o, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.36?  (a) -2\/5  (b) -3.7  (c) 2\/9  (d) 0.05  (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xededkeeekzedkde. What is prob of sequence dede?\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-5)*p**4*(p**(-1\/6)\/p)\/p**(-1)*(p**4\/(p*p**(3\/8)))\/(p**(-5)*p*p*p*p**(3\/2)) assuming p is positive.\nAnswer: p**(47\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 3*h**2 - 17*h + 49. Let o(q) = -2*q**2 + 12*q - 33. Let r(c) = 5*m(c) + 8*o(c). Calculate r(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) 1\/2  (c) -0.4  (d) 1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39092 is divided by 313.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4837727568 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3500) + sqrt(35))\/sqrt(7) + (3 + sqrt(5) + 0 + sqrt(5))**2.\nAnswer: 29 + 23*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5 - 7 - 2*r**3 + 15 + (r - r - r**3)*(8 + 8 - 22).\nAnswer: 4*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:56 AM and 6:00 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4307288682 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -z**2 - 490*z - 1461 = 0.\nAnswer: -487, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9 + -16. Let c(u) = u**3 + 8*u**2 + 2*u - 5. Let q be c(k). Let v = -5 + q. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1287222 * 0.2.\nAnswer: 257444.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 24*k**3 - 840603*k**2 + 26140611*k - 3254442 = 0.\nAnswer: 1\/8, 31, 34994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 67008 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-32)\/(-3) - 2\/(-6). Suppose j*g + 32 = 13*g. Let c be (-254)\/(-4) - (-8)\/g. Calculate the greatest common factor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 351, 594, 837, 1080, 1323, 1566?\n\"Answer: 243*r + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -49\/74772 and -41\/510384?\nAnswer: 102587184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 24121002 (base 5) to base 4\nAnswer: 312200110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 209 = y, 2*y + 2*i = 3*i + 451. Calculate the common denominator of -4*36\/(-96) + 34\/(-15) and 5048\/y + (-4)\/14.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -2*q + 2*r + 1860004, 0 = 5*q - 4*r + 9299992. Round q to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and -15.484.\nAnswer: -1.5484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3.05 - 0.05. Let u = -0.36 - -5.36. What is the second smallest value in -2, v, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - r)*(-3 - 1 + 2) + 3*r - 2*r + r + (-r + 2*r - 3*r)*(-5 + 4 - 2).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 22842 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -113002103 (base 5) in base 10?\nAnswer: -515903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10575399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is ((180\/(-21))\/2)\/((-10)\/35)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -5*o**2 + 3*o - 1. Let y(q) = -14*q**2 + 9*q - 3. Let c(r) = 11*g(r) - 4*y(r). Let p be 20\/15 + 3 - 4\/(-6). Calculate c(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14219532 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-3857)\/152)\/29)\/(-2*(-6)\/672)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 5  (b) 2\/11  (c) 0.2031  (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l + 2*l - 37 = 3*o, 3*l = -37 + 52 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.64832195 rounded to 1 decimal place?\nAnswer: 11.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.91 and 3981538.\nAnswer: -3623199.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes after 10:46 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21 + (-4)\/(-4 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide ((-16)\/(-28))\/(4\/42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (792\/(-45))\/(4\/(-10)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*u**3 + 2840*u**2 + 344112*u - 60763104.\nAnswer: 4*(u - 94)*(u + 402)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w + 12, -3*w = 5*g - 78 - 7430. Is 107 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2201533753 rounded to the nearest 1000000?\nAnswer: 2202000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -367 + 147 = -4*h. Let d = h + 194. Is -1 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 - -1. Suppose 2*g + 2 - 6 = 4*o, -7 = -3*o - g. Let t be (-40)\/(-5) + o + -7. Solve 5 = -t*u - w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5036?\nAnswer: 2, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1608248584 + 2983.\nAnswer: 1608251567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5 and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from {x: 1, v: 1, b: 1, p: 2, i: 2, s: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**4 - 69*w**3 - 126*w**2.\nAnswer: -3*w**2*(w + 2)*(w + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2\/3)\/((-7)\/(-252)). Solve -3 = -2*n + 3*d, 4*n + d + a - 9 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 96148*x - 48074*x + 27 - 48073*x + 10.\nAnswer: x + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 5*d + 1 = 31, 20 = -w + 5*d. Let s = w + -7. Which is the second biggest value?  (a) s  (b) -4  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of 2*y - 1\/2*y**2 + 2 - 275\/3*y**3. Let x be s(2). Round x to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*f - 5*f - 100. Calculate the greatest common divisor of 20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -133\/3922470 and 13\/21330?\nAnswer: 929625390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 3 = 2*u - 16, 0 = -2*d + 2. Let m(l) = -l**2 - 8*l - 5. Suppose 2*k - 2*z + 17 = -z, z = 5*k + 38. Let y be m(k). Is y <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 3*s - 12. Let g(h) = 21 - 2*h - 4 - 9. Let v(y) = 7*g(y) + 5*l(y). Determine v(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 484 + -480 + (60 - 0).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -12 - -4?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.4, 0.26, 92033, 2, 0.5, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -2*k**2. Let w(f) = -47344288*f. Calculate w(u(l)).\nAnswer: 94688576*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the first derivative of 5\/3*f**3 + 20 - 15\/2*f**2 - 31*f. Is r(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 34, 3, 4.\nAnswer: -4, 3, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*s**2 - 94*s wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**3 + 17*n**2 - 2*n - 8. What are the prime factors of x(10)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/6)\/((-4)\/204). Let j = 26 + z. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 312*f - 42*f = 49*f - 261*f + 2410 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 - -96.22.\nAnswer: 99.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**2. Let j(g) = -263*g. Give l(j(i)).\nAnswer: -69169*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aml. What is prob of sequence al?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -368, -1526, -3450, -6134, -9572, -13758, -18686?\nAnswer: -24350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is d in 7*d**5 + 551*d**4 + 11917*d**3 + 37213*d**2 - 145780*d + 38332 = 0?\nAnswer: -37, -7, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -6*m + 16. What are the prime factors of k(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 3035.19 years?\nAnswer: 303.519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qtqqtt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 116\/(-10) + 10 + (876\/(-560))\/(-1)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1530, 6115, 13756, 24453?\nAnswer: 38206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -27\/242 and 81\/484.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 + 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.0911 to 2 decimal places.\nAnswer: -3.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 449830 to the nearest one thousand.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11.5 + 1.5. Let q = y - -10.2. Suppose z + 1 = 3. Which is the closest to q?  (a) 0.1  (b) z  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -762736 by 47671.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10110.97 + -9985. Let s = o + -127. Let b = -1.8 - s. Round b to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 6, -33 in ascending order.\nAnswer: -33, -0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 20810 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1b44 + -10?\nAnswer: 1b34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104*u + 98*u + 7*u + 7*u - 11*u + 31*u.\nAnswer: 236*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**2 + 15*b + 12. Determine l(8).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 14 - 21 - 32 - 23 + 22*g. Let u be r(3). Solve 18 + 2 = -u*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, t: 10}. What is prob of picking 2 m?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 6bc + -25909?\nAnswer: -2521a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -r + 70, -2*b = b. Calculate the greatest common divisor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -13325\/4 - -3315. Is r less than -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5285.9 rounded to the nearest 10?\nAnswer: -5290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 4*f - 40, 5*r + f + 3*f = 88. Let p be (8 - (16 + -8))\/6. Sort -2, r, p in ascending order.\nAnswer: -2, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2*b + 1)*(0 + 3 - 1 + (1 + 1 - 1)*(0 + 6 - 4) - 2 + 3 + 0 - 4 - 5 + 3)*(4*b**3 - 2*b**3 - 7*b**3).\nAnswer: -10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -29037233 to the nearest 100000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 65971 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 224332, 224331, 224330?\nAnswer: 224329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:48 AM and 8:28 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.2, 2, -3\/4, 16?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17601512298 + -0.2.\nAnswer: -17601512298.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 + 0 + -1 - -2. Let m(v) = 254*v**2 + v. Let t be m(4). Is -5*(t\/(-15) + q - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (23*m**2 + 71 - 71)*(0*m**2 - m**2 - m**2) as x*m**4 + g*m**2 + d*m**3 + u*m + r and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1555 + -18661\/12. What is the closest to -10 in -0.4, 3, 0.3, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 7641*a - 3.\nAnswer: 7641*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 516166561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 0*o**2 + 4*o**2 - 4*o**2 + 6*o - 1 + 6*o**3 + 9*o**2. Is n(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 611 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 190 by 38.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.24 rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the third derivative of q**8\/1680 - q**6\/180 + q**3\/6 - 3*q**2. Let x(c) be the first derivative of l(c). Find the third derivative of x(s) wrt s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5796 = -108*s + 114*s. What is the highest common factor of 42 and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71057 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 10*b + 16 - 42. Let y = 3 + 10. Suppose -k - 5*h = -3*h - y, k + h = 10. Sort 3, b, k in ascending order.\nAnswer: b, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (5\/3 - 3)*49\/(-196). Let a(t) be the second derivative of -4*t - o*t**3 + 7\/12*t**4 + 0 + 0*t**2. Find the second derivative of a(v) wrt v.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f = -444 + 424 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 31962266 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -215*w - 418593 + 2536988 = 0. Is w a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 1 + 0*l - 6 + 2*l. Let k be q(4). Suppose -15200000 = r + k*r. Round r to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**25\/i)\/i**(2\/5))**50)**(-27) assuming i is positive.\nAnswer: i**(-31860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 + 9*p**2 + 12*p + 19. Let r(w) = 67*w**2 - 63*w**2 - 2 - 4. Let g be r(-2). Let n be x(g). Calculate the highest common factor of n and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -6*d + 6. Let c be u(0). Let h be 2\/4*c\/3. Let l(q) = 2*q**3 + q**2 + q - 1. What is l(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3\/2, 4\/3, 0.065, -4\/5, 0.18?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -192*z = -2470047 + 1365016 - 1869625. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand l**4 + 1 - 1 + 2*l - 2*l + 3*l**4 + (1 + l - 1)*(3 - 3 + 2*l**3) + 2*l**4 - l**2 + l**2 - 11*l**4 - 15*l**4 + 99*l**4.\nAnswer: 81*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 221 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17 + 0 + (-385)\/(-55))*(-30)\/300*116.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-33 - (0 - 25)) + 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 75 and 72325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 212, 2086, 7418, 18014, 35680, 62222, 99446, 149158?\nAnswer: 213164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12 and 23574732?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 0.1 = -45.2455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 179316495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 128180.\nAnswer: 2, 5, 13, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 18 + -9. Suppose -21 = -2*a - p. What are the prime factors of (-188)\/a*6\/(-4)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 + v**2 + v. Let g be n(2). Let s be g + 1 + -1 + -1. Find the common denominator of -34 + -3 + s\/6 and 8\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*x**2 - 204*x + 416 - 562 + 206*x to s + t*x**2 + r*x and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 21 - -1164023?\nAnswer: 1164044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are 923 and -19\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 12) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the third derivative of -n**6\/60 - 5*n**4\/8 - n**3\/6 + 5*n**2 - 2. Let d(z) be the second derivative of u(z). Let g(p) = -p. Determine g(d(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 38\/171 + 4748\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**2\/7 - 6052698*b\/7 - 3052929423267\/7.\nAnswer: -3*(b + 1008783)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -682014060 rounded to the nearest 1000000?\nAnswer: -682000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (6 - (19 + (-3 - 3))) + 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*k - 268 = 68. What is the lowest common multiple of 24 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.3, 23, -3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.59 - 0.23. Let x = m - -0.04. Which is the smallest value?  (a) x  (b) 0.1  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 10*l - 3. Solve l*x + 3*x - 9 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3134100211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.05?  (a) -1\/4  (b) 0  (c) 1  (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 0.2, 33, -5, 2\/3.\nAnswer: -5, -0.2, 0.2, 2\/3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -60 (base 16) to base 10\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -349, -391, -577, -1009, -1789, -3019, -4801, -7237?\nAnswer: -10429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*u + 184 = 160 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*z - 7*z = 4*f - 82, 2*z - 86 = -5*f. Suppose -3*u = -3*l - 4*u + 27, 28 = 5*l - 4*u. Calculate the lowest common multiple of f and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 444*d**3 + 2*d**2 - 6*d + 3. List the prime factors of f(1).\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5726391kg to tonnes.\nAnswer: 0.0005726391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 713600752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eyssrssv. Give prob of sequence rs.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -3*n - 109 - 116, -4*m + 2*n + 300 = 0. Suppose -5*s + m + 0 = 0. Suppose 2*t + 14 = 20. Solve 0 = -0*p - t*p - s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1377.5 + 1378. What is the nearest to 2\/3 in -3\/4, t, 6, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxxxzxxxxxzzxxx. Give prob of sequence zx.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q = 4*s + 3 - 12, 4*s + 1 = -5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16 and 532216.\nAnswer: 1064432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 68 = -0*f - 3*f, 3*k + 2*f = 237. Calculate the highest common divisor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 4*j + 16 = -0*i, -3*j = -i + 10. Let o = -141 + 143. Solve -5*t - o*h - 16 = 0, -t + 3*t = i*h + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y*((y\/y**(4\/3))\/y*y)\/y*(y**11\/y)\/y*(y\/(y*y**13))**(13\/3) assuming y is positive.\nAnswer: y**(-143\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 959 (base 12) to base 2\nAnswer: 10101010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qjjjddjdjqjdjj. Give prob of picking 1 q and 1 j.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-6)*y**(2\/31) assuming y is positive.\nAnswer: y**(-184\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2 - (-39037 - (-1 - 0)). Let g = f - 91034. Round g to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-12)\/(-15))\/((-21)\/(-5) + 1). Which is the third biggest value?  (a) 5  (b) -24  (c) m  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 826 divided by 3.\nAnswer: 826\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes before 5:33 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -7*w**2 - 3*w - 1. Let m be d(4). Let a be -124 + 2 + -3 + 9. Let i = a - m. Solve 1 = -3*k + 3*f + f, -5*k + 4*f + i = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -131000692*r**4 + 174*r**2 - 11*r - 4825?\nAnswer: -3144016608*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 6, i: 2, m: 1, o: 3, a: 5, d: 3}. Give prob of picking 1 m, 2 d, and 1 a.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eaeeyleaeeyyelyeel. Give prob of sequence le.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 129134.\nAnswer: 2, 64567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 27362145847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (((-6)\/(-4))\/((-141)\/(-376)))\/1. Calculate the highest common factor of m and 898.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 34*(-4 + (1 - -2)). Let s be 2 - (103*d - -4). Find the common denominator of (-4)\/18 - s\/288 and 7\/44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*y - 12*y - 7*y = -6765. Calculate the greatest common divisor of 957 and y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 41*g**2 - 2*g - 3. Let b be m(-1). Calculate the highest common divisor of 72 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15*207.7\nAnswer: 3115.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3441153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 142 - 34 = 0. Suppose -40*p = -51*p - f. What is the nearest to -3 in p, 5, -1\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - 0 - 6) + (-1 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**2 + m - 6. Let g(x) = x**2 + 5*x + 6. Let a be g(-3). Let f = 0 + a. Calculate y(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00632425553 rounded to seven decimal places?\nAnswer: 0.0063243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -191*y + 14918 - 7176 = -7920 for y.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 11*q**2 + 133*q + 3. Let v(c) = -6*c. Determine v(i(u)).\nAnswer: -66*u**2 - 798*u - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4, 141, 370, 691, 1104?\nAnswer: 1609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 106*g - 103*g = -z - 2, 0 = -4*z + 3*g - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*l + 30255 = -15577. List the prime factors of l.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3055311*v**4 + 16877751*v**2 wrt v?\nAnswer: 73327464*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.26 - 0.74. Which is the closest to u?  (a) 0.1  (b) 4  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f**2 - 3*f**2 - f**2 + 2*f**2 - 5*f**2 + f**2 + (-2*f - 3 + 3)*(2*f - 1 + 1) + 1 - 1 + 2*f**2 + 6*f**2 - 3*f**2 - 2*f**2)*(-3*f**2 + 226 - 226).\nAnswer: 15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**2 - 6*v + 46. Let u be w(12). Let d = -113 + u. Solve -i - 9 = -d for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -468 + 677. Calculate the highest common divisor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1187910?\nAnswer: 2, 3, 5, 67, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20 + 17. Let f(w) = -2*w - 4. Let t be f(k). Solve 2*i - 4*z = -t, -4*z = 3*i + i - 20 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -5\/29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -353 + 356. Solve -11 = -2*m - t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 56*j**2 - 8*j + 6. List the prime factors of k(4).\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-39)\/182 - 2*33\/84.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**2 - 113*p - 1291. What is the remainder when s(-89) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0\/(-2))\/(11 - 12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*n + 2*n - 6. Suppose -2*k = n + 1. Let b(w) = -w**3 + 7*w**2 + 27*w - 14. Let f be b(-3). Put 5, f, k in descending order.\nAnswer: 5, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u + 14. Let b be k(10). Let x(s) = -83*s - 6. Let l be x(-2). Suppose b*m = -m + l. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a - 2*v = -3, a = 3*a + 4*v + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**2 + 1. Let j(u) = 9*u**2 - 2*u - 4. Let z = 319 + -318. Calculate z*j(x) + 6*l(x).\nAnswer: 3*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.316*2.\nAnswer: 2.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 less than 26758452664?\nAnswer: 26758452664.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2466 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -86676*m**2*x**2 + m**2 - 3*m*x - 2*m + 2*x**4 - 22*x**2 + 63684*x wrt x?\nAnswer: -173352*m**2 + 24*x**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from upsysspayyyppy?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.639396 * 14.5.\nAnswer: -38.271242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82 = -3*j + 5*j. What is the remainder when 5*(2 + -18)*(-6 + 5) is divided by j?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**2 + 2*c + 1. Let g be f(-1). Suppose 0 = j - g*j. Let k = 59\/426 + 2\/71. Is k at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1  (b) 5  (c) 1\/4  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, h: 1, q: 9}. What is prob of picking 1 h and 1 e?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 648, 647, 646, 645, 644?\n\"Answer: -m + 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 61, 173, 321, 499, 701, 921?\nAnswer: 1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 4*k = 2*n + 1447, -1971 = -4*n + 3*k. List the prime factors of n.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 123 a factor of 344483141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/(-12) + 16\/3. Suppose -1 = -u*z + 24. Suppose z*i - 9*i + 64 = 0. Solve -3*k = -i + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -33*d**4 + 468*d**3 + 576*d**2 - 19920*d + 3600 = 0.\nAnswer: -6, 2\/11, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(1\/5)*k)\/(k*k**(-3)))\/(k*(k\/k**0)\/k*k*k**1)*(k**(4\/9)\/k**(-2\/5))\/((k**(-2\/5)\/k*k*k)\/((k**(-2\/9)*k*k)\/k)) assuming k is positive.\nAnswer: k**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 5:04 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r + 2. Let f be d(2). Let o be f\/(-16)*0 - 4. Let h be ((-2)\/(-3))\/(o\/(-6)). Are -1\/3 and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 - 6. Let w be 1 + 28 - x\/1. Suppose 0 = -n + w + 20. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 24 and 78?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 13 - -2300040?\nAnswer: 2300103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that -g**2 - 873*g + 95158 = 0.\nAnswer: -971, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20 + -16. Solve 4*s + 16 = y for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10398471*w**3*z**2 + 3*w**2*z**2 - w**2*z - 4*w*z**2 + 65*w*z + 354*z**2 wrt w.\nAnswer: 62390826*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 37 - 61. Let g be (-56)\/k*(-1 - -4). Let h(l) = l**3 - 6*l**2 + l - 10. List the prime factors of h(g).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 3839.\nAnswer: 4\/3839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*q + 360 = 333 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the second derivative of -25*t**7\/6 + 2*t**3\/3 - 29*t**2\/2 - 47*t + 5. What is the second derivative of j(q) wrt q?\nAnswer: -3500*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*p + 52 = -g + 33, -3*p - p = 0 for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ophohadw. Give prob of sequence od.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6176)\/(-225424) + (-77)\/146?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-64)\/6*39\/(-26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v**7))**25 assuming v is positive.\nAnswer: v**(-175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**2 + 11*m + 1. Let v be j(-11). Suppose 2*d + v = -c, -31 = 2*d - 10*c + 5*c. Let g be ((-3)\/(d\/(-14)))\/(-2). Solve 5*f - g = -2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -9*c - 10. Let f be q(-1). Sort f, -4, 3, 5.\nAnswer: -4, f, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4498163, -8996315, -13494465, -17992613, -22490759?\nAnswer: -26988903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 4, s: 1, l: 5, p: 4, t: 2}. Give prob of sequence pl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3\/5 + 14\/15. Let f(t) = -t**2 - 24*t - 23. Let k be f(-1). Which is the nearest to 0?  (a) k  (b) m  (c) -3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 6, f: 1, g: 5, s: 1, l: 2, n: 1}. Give prob of sequence qsn.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2 and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.023*-0.3301088.\nAnswer: -0.0075925024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/11*r**2 - 50\/11*r + 48.\nAnswer: -2*(r - 8)*(r + 33)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (5 + -3)*(0 - -2). Suppose -3*h - 2*h + 10 = j, 2*h = j + f. Is 23 a factor of (h\/(-6))\/(12\/(-2484))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -382089573248 less than -0.5?\nAnswer: 382089573247.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 49892304 to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Is 1390583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12784986 by 38.\nAnswer: 336447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 41, -2\/9, 0, -1, 180, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 65 - 99. Let a = b + 72. Suppose 5*w + 0*s - 4*s = 51, -5*s + a = 3*w. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -23730, -47428, -71126, -94824, -118522?\n\"Answer: -23698*s - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 476059570.\nAnswer: 2, 5, 7, 547, 12433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*n**4 - 6568*n**3 - 455*n**2 + n - 1?\nAnswer: -96*n - 39408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.8 take away -0.113?\nAnswer: -1.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -15 in -58, -0.2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 423 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*w - 40 = 9*w. Solve -3*a = -5*a, 0 = d - 3*a - w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3843657381 to the power of 1\/3, to the nearest integer?\nAnswer: 1566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + w + 69 = 55, -118 = 2*x + 5*w - 2*w - 96 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1021033 + 100302003?\nAnswer: 33220310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**3 - 22*q**2 + 24*q + 31. Suppose -5*a + a - 8 = 5*g, 0 = -3*a - 5*g - 11. What is the remainder when w(-23) is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1250 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10111101 + 101?\nAnswer: 11000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 688, 690, 692, 694, 696?\n\"Answer: 2*q + 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -273. Let b(q) = -47. Let w(a) = 11*b(a) - 2*d(a). Let c(l) = -l + 1. Calculate -2*c(j) - w(j).\nAnswer: 2*j - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 424304 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1, 1\/4, 20, 3\/109, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 84\/(-56)*(8\/3)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.21, 1\/8, 0.3 in decreasing order.\nAnswer: 0.3, 0.21, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 463*b - 1 + 599*b + 598*b - 1826*b in the form w + p*b and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 150967932 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 20, 0, -1, 5, 2 in ascending order.\nAnswer: -1, 0, 2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 45 + -44.58. Let t = m - -0.08. Let k = 2.936 - -0.064. Which is the second smallest value?  (a) t  (b) k  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -32, 8, 5, -4.\nAnswer: -32, -4, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b**(-1\/4)\/b))\/b**(-1))\/((b*b\/b**(-4)*b)\/b**(1\/6)) assuming b is positive.\nAnswer: b**(-43\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, n: 4, y: 3, x: 1}. Give prob of picking 3 n.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1\/8  (b) -3  (c) 85  (d) -8  (e) -1  (f) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the first derivative of n**6 - 11*n**3\/3 - 87*n - 97. Let k(g) be the first derivative of i(g). What is the second derivative of k(u) wrt u?\nAnswer: 360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 452*h**2 - 536*h wrt h?\nAnswer: 904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -41373361*d**3*h + 497*d**2*h + 102*d*h + 4 wrt d?\nAnswer: -248240166*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1  (b) -302975.2  (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -495984.\nAnswer: -5\/495984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/3554318 and 21\/6152.\nAnswer: 14217272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/r**(-8))\/r**0)\/((r\/r**(-2\/23))\/r**7))\/(r**(-12)\/r**(-10))**(-48) assuming r is positive.\nAnswer: r**(-1865\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -310 (base 7) to base 10\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -259*n. Let k(m) be the first derivative of -m**3\/3 - 72. Give k(s(b)).\nAnswer: -67081*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7091 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 41 = 4*k, -5*o + 8 = 5*k + 3. Solve 4 = -o*q + 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 + -2*((-837)\/6 + 5) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, 100, 186.5?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -57\/238 and 83\/68.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -3 - (-4)\/(-8)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2160?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zkk when three letters picked without replacement from {k: 9, h: 3, z: 3, a: 2}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 1164*f + 211. Let h(v) = -582*v - 107. Let g(l) = -9*h(l) - 4*x(l). Is g(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2328*h*s - 17901195*h - 1013*s wrt s.\nAnswer: -2328*h - 1013","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 413224500 rounded to the nearest 1000000?\nAnswer: 413000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 209053 or 1881472\/9?\nAnswer: 209053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -51 in 15, -5, -2, 39, -3, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 974 (base 10) to base 11\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -73549\/3 + 24516. Let t = -4\/11 + 51\/110. What is the closest to c in 2, t, -33?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-3\/4))**39*(r**(1\/2)*r)\/((r*(((r**(-12)\/r)\/r)\/r)\/r)\/r) assuming r is positive.\nAnswer: r**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69*r + 273 = -1383 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*4*sqrt(187)\/(sqrt(99)\/(sqrt(9)*-2)) + -3*1*(sqrt(272) + (sqrt(272) - (sqrt(272) + sqrt(272) + 0 + -5))**2).\nAnswer: -891 + 140*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -68 + 2*q**4 - 65 - 2*q + 124 to the form c + w*q**3 + k*q + y*q**2 + g*q**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -20266 + -2?\nAnswer: -20301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the first derivative of -13*k**5\/5 - 14*k - 4. What is the first derivative of i(n) wrt n?\nAnswer: -52*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 + -14 + 2 + 2 - 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 - 5\/(-6) - 77\/42\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16 + -6. Let p(t) = -t + 10. Let d be p(u). Suppose o + 0*o - 35 = d. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes after 2:25 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -578403*-55.\nAnswer: 31812165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s. Let p(l) be the second derivative of -1513*l**3\/6 - l**2\/2 + 10377*l. What is j(p(f))?\nAnswer: -1513*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -28*n - 19 - 24*n - 15 + 2*n**2 + 43*n. Calculate the lowest common multiple of 4 and c(-4).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = 3*r + 129 + 5344, 5*r + 10941 = 2*j. List the prime factors of j.\nAnswer: 2, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 484098 divided by 161366\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16740)\/246 + (25\/(-328) - (-36)\/288).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 - 2.136820042.\nAnswer: -16.136820042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r**4 - 5265*r**3 + 1383365*r**2 + 1399185*r - 2777290 = 0. Calculate r.\nAnswer: -2, 1, 527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 4*a - 5 = 0, -4*o + 0*a + 11 = a. Suppose -2*p - 442 = -o*x, -5 = 2*p - 1. What are the prime factors of x?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 20 + -334101?\nAnswer: -334031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4635 and 84706170.\nAnswer: 1545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 43*t - 257. Determine g(7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -o**2 - 215*o + 1100 = 0. What is o?\nAnswer: -220, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (58 - 1)*99\/77. Let w = 73 - q. Let g = 11\/18 + -10\/9. Which is bigger: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-12)\/8)\/(6\/(-44)). Let i be 0*s\/11*2\/4. Which is smaller: 3\/13 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 212, 213, 212, 209, 204, 197, 188?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**3 + 5*b**2 - 7*b + 9. Let t be y(4). Let z = t + 29. Let n = 58 + -32. Calculate the greatest common divisor of n and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 41778 + -5\nAnswer: 41773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -805*(-36)\/540*30\/(-35).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.0739671 + 0.0739. What is k rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -10  (b) 0.3  (c) -0.2  (d) -4\/33  (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = -31*v + 37*v. Let k be -2 + -1*(6 + v). Solve -10 = k*a - 8*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**3 + 4*q**2 - q. Let n(i) = 471*i**3 + 628*i**2 - 157*i. Give n(w) - 157*p(w).\nAnswer: 314*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -2*g - 145447 + 145447. Let q(f) = -104*f**2. What is q(x(p))?\nAnswer: -416*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 27*y**2. Let u be ((-3108)\/48 - (-1)\/(-4))\/(-1). Suppose u*j = 66*j - 391. Let x(o) = o + j*o**2 - 392*o**2 - o. Give z(x(k)).\nAnswer: 27*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kcu when three letters picked without replacement from {b: 1, q: 1, c: 1, u: 1, o: 2, k: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 586 divide 532206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(((sqrt(72) - -2*sqrt(72)*-3)\/(sqrt(3) - sqrt(36)\/(sqrt(36)\/sqrt(3)) - sqrt(3)))\/((-6*-1*sqrt(72) + sqrt(72))\/(sqrt(9)*1*-4)))**2.\nAnswer: 6000\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -51, -203, -451, -789, -1211?\n\"Answer: h**3 - 54*h**2 + 3*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 64 and 67076?\nAnswer: 1073216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + y - 8 = -60, -60 = -5*d + 5*y. Solve -4*i - 13 = -8*i - 5*q, 0 = -5*i - q - d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29895875.\nAnswer: 5, 239167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - u - 1)*(-2*u**3 - 1 + 1) + (-4 + 4 - 3)*(72*u + 33*u - 11*u)*(-2*u**3 - u**3 - 2*u**3).\nAnswer: 1412*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - (-1 + sqrt(7)) - sqrt(7))*5*2.\nAnswer: -10*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13\/15, 1\/8, -1\/10.\nAnswer: -1\/10, 1\/8, 13\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 183248 and 16?\nAnswer: 183248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*c + 5*c - 90 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35 is divided by 6\/(4\/26 + (-11)\/(-182)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 63276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*s**2 + 0*s**2 - 4*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 16048\/130 + (-10)\/(-65). Let w = 124 - s. Is w smaller than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -2*n**2 + 15*n - 14. Suppose 0 = -5*z + l + 16, -20 = 8*l - 13*l. Let y(q) = 5*q**3 - q + 2. Calculate the remainder when y(2) is divided by x(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*w + w + 0*w)*(-4*w**3 + w**3 + 2*w**3) + 4*w**4 + 3*w**4 + 2*w**4 in the form d + v*w**3 + f*w + m*w**2 + y*w**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-25 + (-8036)\/(-294))*426\/(-28).\nAnswer: -71\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6164 + 2054 - 12115*p + 2057 + 2053 + (2 + 0 + 0)*(2*p + 3*p - 7*p) as x*p + u and give x.\nAnswer: -12119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -24474 divided by 3?\nAnswer: -8158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the first derivative of 0*g - 14\/9*g**3 + 2 + 2\/3*g**2. Suppose i(x) = 0. Calculate x.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 9 = 5*w, 5*r + 4*w - 7 = 20. Factor 3*l**3 + 4 - l**3 - 4*l**r + 6*l.\nAnswer: -2*(l - 2)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -58*r + 122. Let o(b) = -31*b + 60. Calculate 7*o(s) - 4*p(s).\nAnswer: 15*s - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of n**5\/60 + n**4\/4 + 2*n**3\/3 + 4*n**2 + 2*n. Let d(g) be the first derivative of h(g). Determine d(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.2  (b) 6  (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -81*i + 12124. What is g(147)?\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the first derivative of -13*a**3\/3 - 22*a - 7. Differentiate w(n) wrt n.\nAnswer: -26*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.36 + 0.06. Let t = 1588.4 - 1588.8. Sort z, t, -4, -0.1.\nAnswer: -4, t, z, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, 5, 3, 65, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of i - 168 - 41863*i**3 + 156*i**4 + 41894*i**3 - 171*i**4 wrt i.\nAnswer: -180*i**2 + 186*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -0*y + 3*y + 1378. Calculate the remainder when 1388 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*t = -127 + 27 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -1, 8, 0.1, 3.8, 0.6721?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 19 times 7\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes before 7:07 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -33 + 36. Let a be (-18)\/(-4) - ((-6)\/(-4))\/h. Suppose 0 = a*f - 5*u - 5, -2*f + 3*u + 3 = -0*f. Solve -3*n + 0*n - 12 = f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3275, -3268, -3257, -3242, -3223?\nAnswer: -3200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -3*y - 19, 5 = 8*p - 3*p + 3*y. Suppose -p*z + 19*h + 55839991 = 22*h, 55839988 = 4*z + 4*h. What is z rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from teet. Give prob of sequence ee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -464 - -19?\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 61420032 to the nearest integer?\nAnswer: 7837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/30 - (-2)\/4*(22 - 22)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-29)\/(-290)*30\/(-8). Suppose -3*v + v = 0. Which is the closest to v?  (a) -0.5  (b) 0.4  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2112301 - -138?\nAnswer: 2112439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1948207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes after 8:43 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3.4 + 3. Let d = s + -0.1. Let h be -2 - 6\/(-4 + 1). What is the third smallest value in d, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**3 + 8*v**2 - 8*v + 11. Let w be j(-9). Suppose 47 = 5*d + w. List the prime factors of (-4)\/((-8)\/(-6)) + d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d + 337 + 77. What is d rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -9, 8099, -0.4, 1\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*g**4 + 2*g**4 + 3*g**4)*((-1 + 1 - g)*(-2 + 1 - 1) - 27*g - 3*g - 11*g).\nAnswer: -39*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1259 - 1865. Let p = k - -703. Sort 0.3, p, -0.5, 0.2.\nAnswer: -0.5, 0.2, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 214 = -3*b, 0*b - 2*b + 4*o = -140. List the prime factors of b.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 18 = -19. Which is the fourth biggest value?  (a) -0.2  (b) 1  (c) 4  (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 103306.\nAnswer: 2, 7, 47, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 12*f - 12. Let w(x) = x**3 - 11*x**2 - 60*x + 2. Let u be w(-4). Give d(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.4 + -1.6. Let p = 0 + u. Let r = 2 + -1. What is the third biggest value in 2, r, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*c + 13*c - 20*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -7 - 5*l**3 + 4*l**3 + 2*l**2 + l - 7*l**2. Suppose 0*o = -3*p - o, 0 = 2*p + 3*o. Let g(z) = -z - 5. Let a be g(p). Calculate n(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than 290\/2403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 5*h**4 - 131285*h**3 + 861984465*h**2 - 2585034475*h + 1723181290 = 0.\nAnswer: 1, 2, 13127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 3354582715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 318426?\nAnswer: 2, 3, 73, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58982?\nAnswer: 2, 7, 11, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.98 in -1, -1571, 2, 1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1919062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**3 - 13*z**2 - 10*z + 25. Give f(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-i**2 - i**2 + 3*i**2)*(-4 - 1 + 6)*((0 + 1 + 1)*(-3*i + 2*i + 2*i) - 10*i - 7*i + 7*i) to w*i**3 + o*i + m + c*i**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 381 - 376. What is the second smallest value in q, 1\/4, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*i + 5*r - 10 = -30*i, 2*r - 4 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of -2*b**4 + 3*b**3 + 54*b**2 - 69. What is the second derivative of t(g) wrt g?\nAnswer: -48*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - -6*(-6)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.19?  (a) 3\/2  (b) -4  (c) 2\/7  (d) -0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**2 + 2*w + 10. Let f(j) = 5*j**2 + 11*j + 55. Let v(p) = 4*f(p) - 22*r(p). Let y(q) = 44 - 44 + 148*q. Determine v(y(k)).\nAnswer: -43808*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 8832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1, 1, 42 in decreasing order.\nAnswer: 42, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the third derivative of 0*h**5 + 5\/24*h**4 + 0*h**3 + 7\/24*h**6 + 0*h - 4*h**2 + 0. Find the second derivative of y(a) wrt a.\nAnswer: 210*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1806, 3615, 5424, 7233?\n\"Answer: 1809*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3 + (-30)\/(-1) + -4. What is the second derivative of 4*f**2 - 3*f**2 - 3*f**2 - 6*f - z*f wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -51\/236 - 2\/59. What is the closest to -1 in v, -4\/9, 3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 59 = 6*b. What is the remainder when b is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k**4 + 2*k**4 + k**4)*(4 - 4 - 2*k) + 0*k - 2*k**5 + 0*k + 0*k**4 - 4*k**5 + 0*k**4 + (3 - 5 + 3)*(-2 + 2 - k**5).\nAnswer: -11*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 3*b + 16 = -3*o, -5*b = 2*o - 31. Suppose o*q - 10 = 8. What is the greatest common factor of q and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -2112*i - 25346. Determine x(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7.7 + -8. Let m = 7.475 + -3.475. What is the nearest to -2\/15 in m, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 7*y - 2*y + 2*y**3 - 4*y**2 - 3*y - 7 + 4*y. What is the tens digit of g(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**3\/2 + 639*h**2 + 181035*h\/2 + 4264650.\nAnswer: 3*(h + 135)**2*(h + 156)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5497239*f**2 + 7*f**3 - 5497239*f**2.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71*d - 181*d = -330 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 109 - -31. Let m = 139.31 - b. What is m rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 84\/9 + 64\/(-8).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.107 to one dp.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -102 - -149. Suppose -2*a + 4*v + 88 = 3*a, 0 = -4*a + v + 66. Calculate the remainder when z is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 2*m + 2032 = 0, -3*o - 4*m + 1038 + 202 = 0. What are the prime factors of o?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 101503?\nAnswer: 101503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8*(-1)\/((-8)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -7, 0, 0.3, -1.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2739252?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the third derivative of x**5\/15 + x**4\/24 + 19*x**2. Calculate t(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13243854.\nAnswer: 2, 3, 13, 37, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 2*v = -8. Let d be (-9)\/(-6)*(3 - 1) - 5. Let h(m) = -2*m**3 - 3*m**2 - m + 2. Let p be h(d). Calculate the greatest common factor of p and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/12, -5.8, 138546 in increasing order.\nAnswer: -5.8, 1\/12, 138546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 19 - 118)*(97*b + 15*b - 29*b).\nAnswer: -7968*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 3492074*m**2. Let t(d) = 8*d. Give i(t(g)).\nAnswer: 223492736*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 21 + -18. Let w = 368 + -367.98. Which is the second biggest value?  (a) w  (b) 2\/5  (c) -2\/5  (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -7148 and -0.2.\nAnswer: 1429.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1041739 by 23.\nAnswer: 45293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/10008372 and -37\/2122988?\nAnswer: 70058604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 453 is divided by 217?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000726 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*d**3 - 500 + 4*d - 9*d + 3*d**3 + 2*d + 3000*d**2 - 3001*d**2 to c*d**3 + k + s*d + w*d**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3936 and 412296?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {e: 5, v: 8}.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 93 + -73. Differentiate 13*u**4 - 6 - 24*u**4 + n wrt u.\nAnswer: -44*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7 - ((-4)\/2 + 0). Suppose 5*p - 4 = g*p. Calculate the remainder when 15 is divided by (p + 3)\/(2\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -134 - -135.584. Let u = k + -1.83. Let q = u - -0.016. Round q to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-3\/11)*u)\/u**(-3\/8))\/(u**18)**(-2\/31) assuming u is positive.\nAnswer: u**(6175\/2728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4208872?\nAnswer: 2, 101, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/4*y**4 + 75\/4*y - 75\/4*y**3 - 77\/4*y**2 + 19.\nAnswer: (y - 76)*(y - 1)*(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -10*c**2 + 420*c + 2. Let p be h(42). Solve 6*i = p*d + 4*i - 12, -2*i + 13 = 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 - 9) + -5 + 4 - -9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9.8988 * 16.\nAnswer: -158.3808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -5. Let g(l) = 3*l + 81. Let c(d) = -g(d) - 18*h(d). Determine c(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/110)\/((4\/(-50))\/(((-27224)\/(-410))\/(-83)))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -207*t - 4232. Calculate u(-14).\nAnswer: -1334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 2, d: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**3 - 8*w**2 + 8*w - 1. Let i be u(-9). Suppose 5*r + 4 + 0 = -3*l, -i = 4*r. Calculate the highest common factor of 6 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (60\/(-4))\/5*(-1 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 195713 and 7954527?\nAnswer: 2681","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.2  (b) -1.5  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 4*y = 22, 2*y - 2 = -3*u + 14. Let g(a) = -4*a**2 + 0*a**2 - 1 - a - 20*a**3 + 3*a**u. Is g(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27724990459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -5*(-5)\/60 - (-4)\/(-6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8811 or 8812?\nAnswer: 8812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 53856158053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 125466367?\nAnswer: 13, 19, 507961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = z - 4, 2*z - 5*s + 162 - 170 = 0. Solve -2288 = z*w - 2288 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 89647563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**15\/(g*g**8*g))**34)**(-2\/101) assuming g is positive.\nAnswer: g**(-340\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*l = 212 + 202. Suppose s = 4*s - 402. Calculate the remainder when s is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8006 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -3886 + 3886 + 219*k as o*k + r and give o.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the first derivative of -2*h**3 - 1\/40*h**6 + 0*h - 1\/4*h**5 - h**4 + 27 - 13*h**2. Let y(i) be the second derivative of x(i). Factor y(f).\nAnswer: -3*(f + 1)*(f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**3 + 4*s**2 - 4*s. Let a be n(3). Let u = a + 4. Let r = -2\/21 - 20\/231. Is r bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -68054939 - 0?\nAnswer: -68054939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3 + 1080)\/(-3)*-4 - 3. Suppose 0 = g - q - a, 4*g + 5*q = 7*g - 4325. Is g a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12)\/9*(-3)\/1. Suppose 0 = c - w*z + 15, 2*z + 4 = 3*z. Let d be 28\/(-6)*6\/(-4). Calculate the highest common factor of d and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 151 * -0.5\nAnswer: -75.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -p + 0*p + 3*p + (-35 + 4 + 3)*(-2*p + 0 + 0) to the form t*p + u and give t.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 8311*t + 132983. Give q(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 2174994 to the nearest 10000.\nAnswer: 2170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1690251?\nAnswer: 3, 563417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*k**3 - 2*k**3 + 8*k**3 + 0*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**2 + 79680*i - 637184.\nAnswer: -4*(i - 19912)*(i - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -677, 1, -4.\nAnswer: -677, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 91*y**3 - 5*y**2 - 16*y + 10. Let a be x(-15). What is a rounded to the nearest ten thousand?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -302 - 1490 = 256*s. Put 3, 2, s, -12 in descending order.\nAnswer: 3, 2, s, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**3 + 49*c**2 + 38*c - 266. What is the units digit of b(49)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 + 4 + 3\/(-1). Let l(z) = -4 - 4 + 4 - 2*z**m - 2*z + 8*z. Let q(s) = -s**2 + 5*s - 3. Calculate -3*l(r) + 4*q(r).\nAnswer: 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -1347 less than or equal to -1347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1087946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 8, -1\/2, -5, -785\/3, -0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j + 13. Let r(m) = -4*m - 65. Let d be r(-19). Let v be y(d). Let o be (-5)\/((-125)\/(-40))*2. Which is the closest to -1?  (a) o  (b) v  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the third derivative of -l**5\/60 + l**4\/8 + 15*l**2. Suppose -8 = 4*s - 24. What is i(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -28596570, -57193138, -85789706, -114386274?\n\"Answer: -28596568*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 701683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, 0.4, 31, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -21*k**4 + 0*k**4 - 60*k**4 + (-2*k + 2*k + k**3)*(5*k - 4*k + k) in the form q*k**3 + v*k**2 + x + s*k**4 + r*k and give s.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 667 is divided by 289.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -100 - -60. Is 30\/c + (-6247)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2\/5))**(-3\/19)\/(r**0)**(-29) assuming r is positive.\nAnswer: r**(6\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1722411155?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c - 301. Let q(a) = -43. Let l(d) = -21*q(d) + 3*r(d). Let v(f) = 4*f**2 + 8*f**2 + 15*f**2. Calculate l(v(k)).\nAnswer: 81*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27*0.0647.\nAnswer: 1.7469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6607 - 6607.1. Suppose -5*g - 2*j = 6 + 4, -2*g - 28 = -4*j. Let a be g\/(-6) + 12\/(-99). What is the nearest to -1 in r, 3, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**2 + 5*s + 4. Let z be i(5). Suppose r + 33 = z*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -8*p**3 + 216*p**2 + 20*p - 534. Determine k(27).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 30662 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 - (6 - -18)\/(-6). Which is the closest to 27?  (a) y  (b) 0  (c) -1\/4  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -g. Let i(w) = 36*w**2 + 25. Let b(p) = -7*p**2 - 5. Let r(a) = 11*b(a) + 2*i(a). What is r(x(q))?\nAnswer: -5*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h - 2*h = 5*h. Solve -4*w - 2 = 2*r - 8*w, -4*r + 4*w + 4 = h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*y = -11*y. Solve -3 - 8 = -2*v + 5*b, 2*v + 4*b + 16 = y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 6 + 101?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95115 - 95122 + 129*b + 45*b.\nAnswer: 174*b - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 28225*h**3 + 436*h**2 - 158912849*h wrt h.\nAnswer: 169350*h + 872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 3*q = -8. Suppose 0 = -r + q. Let s = -3 + 3. Solve r*g + 15 - 5 = s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.09 - 563446?\nAnswer: -563441.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange h - 7*h**2 + 5*h**2 + 412 - 455 to n*h + x + t*h**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -23*m**3 + 2*m**2 + 5*m + 2. Let z be y(-1). Suppose -z*o + 25*o = 360. What is the tens digit of 182\/3 - (-6 + o\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -74 - 0.1196706657?\nAnswer: -74.1196706657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 3:42 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nynyyynz. Give prob of picking 3 y and 1 n.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 7 + 1. Let j(u) = -19*u - 8. Let r(o) = 18*o + 7. Let z(i) = -5*j(i) - 6*r(i). Let g be z(w). What is g rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 55 divided by -13\nAnswer: -55\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 297*g = -5*l + 304*g - 34, -4*l - 4*g - 56 = 0 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -12*d**2 - 221*d + 1816. Give b(7).\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -2*b**2 - 8*b + 2. Let j be t(-4). Let d(h) = 5*h**j + 3*h - h**3 - 2*h - 1 - 2*h**2 + 0*h. Calculate d(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes before 11:57 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -233449421.6 to the nearest 10000.\nAnswer: -233450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(2\/3))**(1\/15)\/(q**(3\/14))**(-2\/129) assuming q is positive.\nAnswer: q**(647\/13545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5015 is divided by 278.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2110932 a multiple of 614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 6*b - 10 = 0. Suppose 3*v - z = 5, b*z - 6 + 4 = 0. What is the remainder when 36 is divided by 3\/v*(-26)\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 6278*y**2 + 2*y - 3. Let w be a(3). Let m = w - -6495. What is m rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + (19 - (11 + -10) - (-1 - -10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bso when three letters picked without replacement from sbsossoo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 284935?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c - 9. Let s(o) = o - 17. Let f(i) = 5*a(i) - 3*s(i). What is f(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 75 and 5175.\nAnswer: 5175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -36*j**2 + 3*j. Let r(z) = 24*z**2 - 2*z. Suppose -178*y - 13 = -3*v - 174*y, -v - y - 12 = 0. What is v*f(q) - 8*r(q)?\nAnswer: -12*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g**5 + 56*g**4 + 44*g**3 - 1696*g**2 - 3280*g - 1600 = 0. Calculate g.\nAnswer: -4, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -92 - -82. Let l be ((8\/m)\/1)\/(36\/(-90)). Suppose l*k + 14*k = 48. Solve -5*s = -2*g - 16, 0*g + k*g = 3*s - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/5 or 744743\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3\/5632 + 11213\/95744. Put 69, -3, h, 5 in increasing order.\nAnswer: -3, h, 5, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/9 or -39119?\nAnswer: -39119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 99 and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-23)\/3 - (-6)\/9. Find the common denominator of (-588)\/(-16)*(-3)\/c and 7\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 37  (b) 0  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-2)\/6)\/((-3)\/(-18)). Let n be r\/(-8) + (-27)\/12. Let t be 0*(-4)\/(n*4). Solve -2*s = 4*c - 22, t*c = c + 2*s - 13 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*p + 44*p - 2*p - 34.\nAnswer: 102*p - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 171.9 from -1.6.\nAnswer: -173.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 278\/(-275) + ((-138)\/(-1587) - (-96)\/(-575)).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -41 + 98. Let h = -56.752 + k. Let d = h + -0.33. What is d rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b - 11*b + 0*b)*(60*b - 35*b - 45*b - 2*b**2).\nAnswer: 22*b**3 + 220*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {h: 2, l: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 - -13. Let k = 17 - 10. Calculate the smallest common multiple of k and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -6, -2, 0, 3, -72 in descending order.\nAnswer: 3, 0, -2, -6, -7, -72","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 9 = -5*l. Suppose -l*r - q + 4 = -6*q, -3*r = -4*q - 5. Suppose 0 = r*o - 11 - 25. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n + 374 - 349. Which is the third smallest value?  (a) -1\/4  (b) -2  (c) n  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -0.4, -2\/13, 9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 60359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 1182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 5*c + 9, 3*c - 2*q = 2*c - 4. Let u be 6\/9*c*-6. Solve -2*m = -u + 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4764 and 11116?\nAnswer: 33348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 29 - 16. What is the greatest common factor of w and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - 6 - -2 - (-50 + 46)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 5*w + 33 = 0, -2*w + 10 = -4*w. Let m = t - 2. What is the remainder when m is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 267548978?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 13036711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 88.962 less than -46276.906?\nAnswer: -46365.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 2 + 0*o**2 - o**2 + 57*o**3 - 3 + 15*o**3 + o. Calculate the remainder when h(1) is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/((-8)\/(-18))*(41856\/(-1872))\/(-109).\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -9*q - 36. Is n(-9) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -147 = -20*s - 387 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 35 + 66. Suppose -4*v = 4*m - 2*v - 86, 4*m - d = v. What is the remainder when 59 is divided by (42\/m)\/(1\/12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iapiipppipipiii. What is prob of picking 1 p and 1 i?\nAnswer: 16\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**2\/4 - 623465*r\/4 + 3895875.\nAnswer: 5*(r - 124668)*(r - 25)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**3 + i**2 - 2*i + 2. Let c be x(0). Suppose 6 = -c*q + 26. Solve -8*v = -6*v + q for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-240 - -1) + 4)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-7614)\/(-1008))\/((-12)\/4). Let y = l - -15\/7. Let m = 16\/11 + -18\/11. What is the second biggest value in 2\/9, 0.2, m, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -647, -655, -661, -665?\n\"Answer: g**2 - 11*g - 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + z = -12, 456*t + 203 = 3*z - 2974 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 9 = o, -3*z - o + 3*o + 8 = 0. Let u = 73 + -68. Suppose -114 = -u*v - 9. Solve -3*h = 3*w - z*h + 11, 2*w = 5*h + v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(170) - -3*(sqrt(170) - (sqrt(170) + 2*sqrt(170) - sqrt(170))))\/(sqrt(10) - (sqrt(10) - 1*sqrt(10))*-3))*-1.\nAnswer: -4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the first derivative of z**3\/3 + 9*z**2\/2 + 17*z + 417. Determine x(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from {k: 2, d: 1, m: 1, l: 1, u: 1, s: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -3 + 16\/3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(468) + (sqrt(468) + -1 + sqrt(468))*5 - (sqrt(468) - 3*(sqrt(468) + sqrt(468) + -3))**2.\nAnswer: -11786 + 606*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 1002110 (base 4) to base 7\nAnswer: 15242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -328006*s**2 - 3*s - 86138 wrt s?\nAnswer: -656012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-3)\/(-9))\/(4\/380244) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -8 - -1 - 1\/(2\/(-8)). Let k = -8.6 - -7.4. Let n = -0.7 - k. Sort 0.3, n, 3, x in ascending order.\nAnswer: x, 0.3, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16.2090109904 + 16.209. Round n to 7 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132) - sqrt(132)*4)\/sqrt(6)*6)\/(-4*(5*sqrt(11) - sqrt(11))*5)*-6.\nAnswer: -27*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 2*w**2 + 13*w - 48. What is the units digit of a(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6310*p - 12621*p + 6309*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/9*-15*4)\/((-38)\/(-912)*-16).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-200)\/15*(-178)\/(-445)*(-27)\/2\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 0 + 0*r + 1\/4*r**3 - 1\/2*r**4 + 0*r**2 + 1\/4*r**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 80\/(-13) - (-6 + (8 - 8))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - c + 2)*(0 + 0 - 2)*(-2*c - 3*c + 14*c) to the form x + n*c + v*c**2 and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 98896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 3*g - 60 + 62 + 4*g - 2*g. Let o be j(14). Suppose 3*r - p = o, -p + 15 = 4*p. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -892 = 266*p - 24*p + 3706 for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62*c - 48*c = 14266. What is the remainder when c is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**3 - 18*g**2 + 349*g - 305. Determine u(-30).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -506*g - 11. Let r(i) = 509*i + 11. Determine -11*r(c) - 12*s(c).\nAnswer: 473*c + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3400.53 rounded to the nearest one hundred?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 168 and (-29)\/9 + (-2)\/(-9) + 255 + 0.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - c**3 + 0 + (4 - c**2 - 2 - 5)*(-2 - 2*c + 2).\nAnswer: c**3 + 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**3 + 49*w**2 + 86*w - 380. Calculate h(-47).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 0*s - 12 = -3*a, 3*s = a + 6. Let d = 6 - 4. Suppose 0 = d*h - 2. What is the remainder when a is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35 + 93*u**3 - 143*u**3 + 66*u**3 - 35.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:45 PM and 10:31 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4 and 5636.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.03 + 0.97. Suppose -2*m + 10 + 2 = 0. Let a = -399\/5 - -80. What is the nearest to -1 in m, a, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2233 >= -2234?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 381824.\nAnswer: 2, 19, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1311, 1319, 1339, 1377, 1439, 1531, 1659?\n\"Answer: t**3 + t + 1309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7\/9 - -41\/18. What is the fourth smallest value in 1\/43, f, 3, -4\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/60*2 + (-2)\/(-15))\/((-178)\/(-35778))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 21  (b) 2.4  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*x - 40 = -4*x. Let d(a) = 1361*a**3 - 3*a**2 + 4*a + 4. Let w(h) = 1361*h**3 - 4*h**2 + 5*h + 5. Let t(y) = x*d(y) + 3*w(y). Is t(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n**4 - 6*n**3 + 42*n**2 - 4*n - 48 = 0.\nAnswer: -4, -1, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -5*r + 3*r + 664, 0 = -3*r + 3*l + 1026. Let f = -333 + r. Solve 2*v = f*v + 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 373*s + 0 - 25*s.\nAnswer: 348*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -5 - 2\/(-2) - -1. Let a = -3 - t. Let r = 0.02 + 0.28. Is r less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -464*z + 1394. Let q be f(3). Solve -q*i = -2*y, 19*y - 15*y + 20 = -i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -150 = -5*z + 115. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 204274735 - -5?\nAnswer: 204274742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifteenth of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 19\/5 in -23, 0.6, -1\/4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes before 8:21 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.12098 and 225613349?\nAnswer: 225613349.12098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*t + t - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(-2)*6\/(-21)*2\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -414*u + 332*u + 79 - 1145 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 387 or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the second derivative of -o**4\/4 + 2*o. Let j(a) = 5*a**2. Let p(u) = 26*u**2. Let r(c) = -16*j(c) + 3*p(c). Determine r(z(t)).\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 25159 and 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 11\/(-9) + (-6)\/(-27). Let q = 3 + g. Suppose 0 = q*m - 3*m + 1. Solve m - 5 = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*b - 1. Suppose -2*f + 5*f + o = 13, -8 = -2*o. Find the second derivative of f*j + 2*j**3 + 0*j - j + j**b wrt j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 3578617 + 3\nAnswer: 3578620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 2*p**3 - 9*p**2 + 32*p + 7. Let g be l(14). Let n = -1731 - g. Round n to the nearest 100.\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -24431 - -10?\nAnswer: -24421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 665943041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -348176 divided by 16?\nAnswer: -21761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 274734 is divided by 176?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2996 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 132848, 132879, 132910, 132941?\nAnswer: 132972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -23.5 - -23. Suppose -i + 2 - 4 = 0. Which is the smallest value?  (a) n  (b) -4  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + (2 - 1) - 6. Let t be (8\/i)\/((-4)\/6). Suppose 0 = -t*a + 6 - 2. Solve f + 10 = a*u - 3*f, 5*u = -f - 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 515424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.9 + 1. Let o = 0 - -0.2. Let c = o + -0.4. What is the nearest to 0.1 in 4, c, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*g = -55*g + 105 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 276357073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 - -5 - 248548\/(-2). Suppose x = u + 443278. Round u to the nearest 10000.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -16261*v - 24. Let d(n) = 2072822194*n + 3059324. Determine 6*d(w) + 764831*j(w).\nAnswer: 16273*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15245*b**2*i*m*p - b**2*m - 7*b**2*p + 3*b**2 + 108*b*i - 6*b - 2*i*m + 57*i*p wrt b.\nAnswer: -30490*i*m*p - 2*m - 14*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1\/120 + -797\/360. Let j be 2\/(-6) - 682\/(-33). Let m = j - 39. What is the common denominator of u and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*c + 6*c + 16*c + 113*c.\nAnswer: 111*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 238706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*u - 17 - 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n + n + n)*(-2*n - 2*n + 6*n)*(0 + 2 - 1).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -2*g + 18. Let u be r(9). Let l(p) = -6*p - 10. Let x be l(-2). Suppose -x*c - 10 = u, -2 = -4*v + c - 17. What is v rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - z - 44. Let u = -50 + -29. Calculate the remainder when u\/(-2) - (2 + 7\/(-2)) is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -44*o**5 - 6*o**5 - 7*o**5 + (-1 + 1 - 3)*(-2*o - 2*o**5 + 2*o).\nAnswer: -51*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/((-112)\/12)*(-32)\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**2 - 5*g + 9. Let w be x(3). Solve -d = w*d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**2 + 2*l + 1. Let i be q(-1). What is the tens digit of 24\/(-9)*(-13 + i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 3*o**2 - 2*o - 3. Let f be c(5). Let p = f + -110. Let z = p + 93. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.04246*-451.9.\nAnswer: 19.187674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -57\/29, 2\/3, -512, 19, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -130 and 47914437.\nAnswer: 47914307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bubuubu. What is prob of picking 2 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1166 - 599 + 549 - 514*j**3 + 3462*j**3 with respect to j.\nAnswer: 8844*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**4*f**(2\/9)\/f)\/((f\/(((f*f**4*f)\/f)\/f))\/(f*(f\/(f\/(f\/f**(-1\/4))))\/f))*(f**(2\/15)*f\/(f\/((f\/f**(2\/9))\/f)))**36 assuming f is positive.\nAnswer: f**(949\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -2*w**2. Let z = 187 + -187. Let r(j) be the first derivative of 1 + z*j + 5\/2*j**2. Calculate r(c(a)).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 129 and 534.\nAnswer: 22962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**3 + 16*h**2 - 31*h - 19. Let n be w(14). Is n > -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11 - -19. Let h(c) = -c**4 - 12*c**2 + 22*c - 3. Let m(t) = 2*t**4 + 36*t**2 - 64*t + 10. Let o(d) = i*h(d) + 3*m(d). Factor o(p).\nAnswer: -2*(p - 1)**3*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/(-3))\/((-36)\/162). Let x be 15\/(12\/i - 3). Let q = x + -12. Solve -13 = -q*v - 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 2*r - 1. Let f(p) = -3*p**3 - p. Let o be f(r). Let z(q) be the first derivative of q**4\/4 + 5*q**3\/3 + 3*q**2\/2 - 3*q + 1. What is z(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1 - 0)\/(2 + -6). Let w = -38.47 - 3.73. Let i = -42 - w. Which is the smallest value?  (a) i  (b) x  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 38.1 times -0.5\nAnswer: -19.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2172 and 67554630?\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 2467258040 to the nearest 1000000.\nAnswer: 2467000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11121202011012101 + 0?\nAnswer: -11121202011012101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 157, 163, 179, 211, 265, 347, 463, 619?\nAnswer: 821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*x**3\/7 + 2433*x**2\/7 + 4086*x\/7 - 1632\/7 = 0. What is x?\nAnswer: -2, 1\/3, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26519235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5937975?\nAnswer: 3, 5, 19, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -104 - -106. Which is the biggest value?  (a) o  (b) 14  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 3*c**2 - 13*c + 6. Let a(i) = -4*i**2 + 12*i - 7. Give 5*a(h) + 6*l(h).\nAnswer: -2*h**2 - 18*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 297 divide 14434639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 144714252 and 99197.\nAnswer: 14171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2167134 to the power of 1\/2, to the nearest integer?\nAnswer: 1472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -85\/1608 and -127\/10050.\nAnswer: 40200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5.381 - -0.019. Let d = -11 + n. Let y = -1.6 - d. Which is the second smallest value?  (a) 0.7  (b) 0.5  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 7*t**3. Let w(r) = -57023*r - 36*r**3 + 57023*r. Calculate 24*g(l) + 5*w(l).\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h + 3*i - 35, -2*h = 3*h - 2*i + 42. Let b = h - -15. Suppose -b = -3*d - 1. Solve 3*r = -d*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 5193 and 25963\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*c - 1 + 21*c - 9*c)*(-3 + 0 - 2).\nAnswer: -85*c + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 5 + 1 = 0. What is the tens digit of 42\/5*10\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 5*n - 21. Suppose 35 = 30*f - 23*f. Let q be c(f). Solve -q*t = 7 + 9 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of -b**4\/12 + b**3\/2 - 3*b**2 + 2*b. Let v be s(7). Let q = 41 + v. What is the highest common divisor of 56 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23, 88, 201, 362?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the second derivative of 8*q**3\/3 + 26*q. Calculate the remainder when i(2) is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 34*l**2 - 7*l - 9. Suppose -3*a = -5*s - 15, 0 = 2*a - 3*a. What is the hundreds digit of y(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2 - 47734*f + 95472.\nAnswer: -(f - 2)*(f + 47736)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -7150418*m. Let p(g) = 2*g**2. Calculate p(v(n)).\nAnswer: 102256955149448*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -183*q. Let p(b) = 177205*b. Determine d(p(i)).\nAnswer: -32428515*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.046 + 0.866. Let h = -310.68 - -311. Let i = h - f. What is the biggest value in i, 1\/7, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(250)*-1 - sqrt(250))*2)\/(2*sqrt(8)\/sqrt(4)*-1).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in 2, 6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add 5088331 and 11.\nAnswer: 5088342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 20, 0 = -5*l + 2*i - i - 319. Let u be (1\/(-3))\/(3\/l). Let k(d) = d**3 - 6*d**2 - 4*d - 6. What are the prime factors of k(u)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q + 2*q + 0*q + 396.\nAnswer: q + 396","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the first derivative of -68*l**6\/3 + l**3\/3 - 747*l**2\/2 + 58. What is the second derivative of z(j) wrt j?\nAnswer: -2720*j**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 723 - 666. Suppose u - 255 = -6*y. Calculate the least common multiple of y and 111.\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -12*o**2 + 5*o + 4. Suppose -4*x - 2*n - 6 = 0, 3*x + n = -2 - 2. Let f be k(x). What are the prime factors of (186\/(-4))\/1*(f + 11)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the third derivative of x**7\/5040 - x**5\/60 - x**2. Let h(b) be the third derivative of v(b). Let j(u) = -18*u. Calculate j(h(w)).\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/(n*n*n**1*n)))**(14\/9)\/(n**6\/(n*n**4*n)))**(2\/11) assuming n is positive.\nAnswer: n**(112\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*l**3 - 104*l**2 + 8*l**3 - 102*l**2 + 206*l**2.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(((-2*sqrt(1008)*-1)**2 + 3 - (1 + sqrt(1008) + -4 + (1*sqrt(1008))**2 + -5)) + -1).\nAnswer: -3034 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (30\/(-48))\/(1\/(-58)*9) and 89\/15.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 124457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 30\/(-105)*-84 + 8\/1. Solve 27*z - i*z = 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -22*r**2 - 5*r - 5. Suppose 113 = 738*u + 353 + 1236. Determine n(u).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**3 + 9*k**2 - 9*k + 10. Let c be g(-10). Suppose c = -5*d + d + 152. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -19*q. Let t(c) = -115*c. Suppose -4*r - 3*l = 88, -6*r + 2*r - 108 = -2*l. Give r*b(n) + 4*t(n).\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8 - -20. Let r be 4\/(8\/(-12) + 0). Let y = r + g. What is the highest common divisor of 12 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 27365 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 1928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 4 + (1 + -1 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -81\/786344 and 33\/56.\nAnswer: 5504408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 - -54. What is o rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 326*a + 12. Let m(b) = -b - 3. Let f(v) = d(v) + m(v). Is f(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.2, 104\/5, 3?\nAnswer: 104\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o - 11. Let k(y) = 1 + 0 + 0. Let j(w) = -4*k(w) - l(w). Let r be j(-3). Solve -5*x + 2*m + 0 - 25 = 0, 17 = -r*x + m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 291 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.406 rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, 3, 46, 2, -4, -8 in descending order.\nAnswer: 46, 15, 3, 2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 41224 (base 5) in base 14?\nAnswer: da1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 4297*a**2 - 78*a + 77. What is the thousands digit of s(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 5*m - 10108. Let b = 4846 - 882. Let g = m + b. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 2:37 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(81\/117)*(-216)\/702?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 487a36 (base 11) in base 12?\nAnswer: 31284a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 7*x - 3*x - 6, 2*p = 4. Solve -x*c - 5*c - 36 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the second derivative of -5*l**4\/12 + 25*l**3\/6 + 15*l**2 + 2*l + 2. Solve n(d) = 0 for d.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 1184201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 8830652 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4324 + 64?\nAnswer: -4280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 9*z**3 + 6)*((2 - 1 + 0)*(0*z + z + z) - z + 2*z + 0*z).\nAnswer: 27*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p + 6*p + 0*p + 4*p + 0*p - 6*p + (2*p - 2*p + 2*p)*(3 - 2 - 3) - p - 2*p + p)*(-2*p - p + 4*p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 1 - 9)*(2 - r - 2)*(-1 + 3*r**3 + 1).\nAnswer: 39*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*s**3 - 60*s**3 - 77*s**3 + (0*s + 0*s - 2*s)*(-2*s**2 + s**2 + 4*s**2) + 5*s**3 - 4*s**3 - 2*s**3 in the form a + z*s**3 + g*s**2 + f*s and give z.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 7*c - 1. Let w be d(-2). What are the prime factors of (6\/(-4))\/(w\/140)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 443265 and 54375?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 356, 281, 76, -325, -988, -1979, -3364, -5209?\nAnswer: -7580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0.06104, 4 in descending order.\nAnswer: 4, 0.06104, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or 138471948?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 52 = -3*t, 77 = 5*t - 4*p - 13. Solve 0 = 4*u - 3*f - t, -u - 7*f = -6*f - 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 609?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1287 + 1286. Which is the nearest to -2?  (a) -5  (b) 0.08  (c) -2\/9  (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p + 4. Let l be r(4). Suppose m - 4*m - 5*k + 6 = l, -4 = -2*m - 3*k. Let d(z) = 15*z. Is 15 a factor of d(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes before 5:04 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*d**2 + 82531 - 41209 - 41324.\nAnswer: 34*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 75968249 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15627 is divided by 5203.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.1  (b) -1\/4  (c) -0.2  (d) 4  (e) 3  (f) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -36b157 - 147?\nAnswer: -36b2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**4 + 8446*b**3 - 11086344*b**2 + 4330035360*b - 549691138944.\nAnswer: 2*(b - 372)**3*(b + 5339)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-5))\/(6\/(-180)*-12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + b + 1009 = -719, -4*c - 4*b = 1376. Which is smaller: c or -1034\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5.5, 2\/5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -466*c - 2208*c - 2 + 38*c + 2.\nAnswer: -2636*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9*c + c**4 - 7*c**3 + 3830*c**2 + 5 - 3853*c**2 + 7*c**3 wrt c?\nAnswer: 12*c**2 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6225 (base 9) in base 14?\nAnswer: 1939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -84.519 - 62.\nAnswer: -146.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 217 + -219. Let b = 3 + -3.04. Which is bigger: k or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, i: 1, k: 2, g: 1}. What is prob of sequence gi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 558091926 is divided by 1210.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -3*y + 52, 25 - 93 = -2*f + 5*y. Let t be f - (0 + 0 + -2). Suppose 4*k - 44 = 2*r, 2*k + 3*r = -1 + t. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -27.47 - -901884662.\nAnswer: 901884634.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.615 + -0.3.\nAnswer: 0.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -8 - (4 - 3 - 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 5*v**2 + 6)*(3*v**2 - v**3 - 3*v**2 + (2*v**2 - 7*v**2 + 4*v**2)*(0 + v + 0) + 3*v**3 + 5*v**2 - 5*v**2).\nAnswer: -5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**5 + 0*n**5 - n**5)*(1 - 4 + 5) - n**5 + 0*n**5 + 3*n**5 + (0*n**3 - 3*n**3 + 2*n**3)*(2*n**2 - 2*n**2 + n**2) + n**5 - 3*n**3 + 3*n**3.\nAnswer: -2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.81 - 1.21. Which is the fourth smallest value?  (a) 0.3  (b) -4  (c) p  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -21*t**5 + 17*t**2 + 5*t - 5. Let r(z) = -31*z**5 + 26*z**2 + 7*z - 7. Let w(o) = 7*k(o) - 5*r(o). What is the third derivative of w(b) wrt b?\nAnswer: 480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1860 + 1735. Let f(v) = -28*v**2 + 3*v. Let m(r) = -1175*r**2 + 125*r. What is q*f(b) + 3*m(b)?\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*14258.\nAnswer: -5703.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z = -2*z - 10. Suppose 0 = -5*i + 3*x + 101, -i = -6*x + 4*x - 16. Suppose 21*l - i*l - 5 = 0. Which is the closest to z?  (a) -0.3  (b) l  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_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: Let o be (-90)\/(-4)*(-34)\/(-51). Suppose -302 = -16*r + o*r. Does 31 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 17*y - 44. Let b be 1 - ((-68)\/(-16))\/((-2)\/8). What is the tens digit of j(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-69*c**3 - 103*c**3 + 129*c**3)*(176 + 57 + 155 + 11).\nAnswer: -17157*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3305 = 14*s - 5865. Suppose -5*r + 2490 = s. List the prime factors of r.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -101000000001000110 (base 2) in base 12?\nAnswer: -7aa32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 55 + -55.1. Suppose -5*k + 0 + 15 = 0. Suppose -3*m + 7*f = k*f - 11, f - 4 = 3*m. Sort v, m, 0.\nAnswer: m, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 160724?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 37 + -40. What is the nearest to 2 in -5, 5\/3, q?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -2  (b) 34924  (c) 259.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/4*((-7524)\/165)\/19?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 2*p**3\/11 + 1192094*p**2\/11 + 177643761462*p\/11 + 2309167439514\/11 = 0.\nAnswer: -298017, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 370*a = 5*u + 368*a - 26, u = 4*a + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {j: 1, o: 4, z: 6}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-419)\/(150840\/432))\/(1\/6)?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1762 + 7051\/4. Let d(s) be the first derivative of s + y*s**4 + 3 + 0*s**2 - 1\/3*s**3. What is d(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3.3 + -1.3473.\nAnswer: -4.6473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -890*u**5 - u**3 - 39*u**2 - 3*u - 23?\nAnswer: -53400*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**3 + 21*t**2 - 102*t + 31. Is a(-17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 174865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2 + 2. Let j be u(0). Let k = j + 1. Let m(c) = c - 4. Let d be m(5). Solve -2*l = -t - d, 3*l + 3 = -t - k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 122*z + 640 + 1162 - 460 = 0 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 1 t when three letters picked without replacement from btykukbbbbtyquybukbt?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let 6*n**5\/7 + 4*n**4\/7 - 8*n**3\/7 - 4*n**2\/7 + 2*n\/7 = 0. Calculate n.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s - 35 = 51*y - 49*y, 3*y = -5*s + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, c: 1, o: 1, l: 1, p: 1, s: 2}. What is prob of sequence slo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 87 + -185. Let t be (228\/3 + 1)*2. Let z = l + t. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 500334451 to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2114 and 97332788?\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 44053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -724 or -729?\nAnswer: -729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -59493\/4 + 14874. Let j be 4 - (0 - 52\/(-16)). Factor -n*f**2 - j*f + 3\/2.\nAnswer: -3*(f - 1)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -128*g**2*m**4 - g**2 + 217*g*m**4 + 27467*g wrt m.\nAnswer: -512*g**2*m**3 + 868*g*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 634263856 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is (106*18\/12)\/((72\/4604)\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 156033, 312038, 468021, 623970, 779873, 935718, 1091493?\n\"Answer: -2*d**3 + d**2 + 156016*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -18 + 22. Suppose j*y + 0 - 8 = 0. Suppose 5*r - 722 = 4*h, -5*r + 734 = -y*h + 4*h. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, n: 10}. What is prob of picking 2 e?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 4 + -1*sqrt(300)*2 + sqrt(300))**2 + -4.\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 0  (c) -0.1  (d) 1\/5  (e) -0.022  (f) 114  (g) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 163656210 and 18090.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 948 or -7360?\nAnswer: -7360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 753, 851, 949, 1047, 1145?\n\"Answer: 98*a + 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-14)\/(-35))\/((-6)\/(-60)). Suppose c*w + 51627 = 5*a, 2*a + w = 4*w + 20648. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**3 + 13*k**2 - 13*k + 30. Let g be d(12). Let o = g - -294. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -25339, -49236, -73133, -97030?\n\"Answer: -23897*c - 1442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -5, -17, -51, -119, -233, -405, -647, -971?\n\"Answer: -2*t**3 + t**2 - t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8075236g to kilograms.\nAnswer: 0.0008075236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 10*l**2 - 2*l + 3. Let d be h(2). Suppose -2*t - 15 + 91 = -3*x, 5*t = -x - 31. Let o = d + x. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 21 - 20.5. Let q = -3.2 + 0.2. Let p = 3.6 + -5.6. What is the smallest value in q, 1, r, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 divided by 555?\nAnswer: 62\/555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 351*b - 15774823 = -15814135 for b.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1679751693 to the nearest integer?\nAnswer: 40985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 2.2+0.0366094\nAnswer: 2.2366094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*y - 3*x + 41 = -4*y, -33 = 3*y - 3*x for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**3 + 30*r**2.\nAnswer: -3*r**2*(r - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 59 - f - 3*f + 3*f - 53 as w*f + b and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**2 + f - 4. Let n be v(0). Let j = n - -27. Let b = j + -13. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1117047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -41 (base 14) in base 6?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 978 and 9483340.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**2 + 5*y + 1. Let c be f(-7). Suppose 15*k + c = 18*k, 2*k - 11101 = -3*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -119588*k**2 - 58854 wrt k.\nAnswer: -239176*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/7 or 0.31?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -j**5\/3 - 2*j**4\/3 - j**3\/3 = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(1\/4)*(g\/g**(-8))\/g)\/(g\/(g*g\/g**(-1\/6)*g*g*g)*g**(2\/13)*g))**32 assuming g is positive.\nAnswer: g**(14056\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the first derivative of 913*f**6\/3 + 1022*f**2 - 948. What is the second derivative of l(j) wrt j?\nAnswer: 36520*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 632622105.\nAnswer: 3, 5, 17, 826957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 p, and 1 v when three letters picked without replacement from zwpwvpzppbbbvvwppp.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.9 and 0.08.\nAnswer: -0.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -8 - -1 - (1 + -6). Let l be -7 + (j + 3 - -3) - -6. Solve z + 5 = 3*u, 0*z + l*z + 5*u + 1 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6839?  (a) 3  (b) 2  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m**3*m*m*m*m*m**(2\/31)*(m*m**(2\/5))\/m**(3\/2) assuming m is positive.\nAnswer: m**(2469\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 20705 and 13120.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*x**2 + 18*x**3 + 2*x**2 + (-9*x**2 - 4 + 4)*(-x - 3*x + x).\nAnswer: 45*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**2 + 7*v + 6. Let h be u(7). Let w be ((-60)\/(-35))\/(-1 - 30\/(-28)). Suppose -23*o + 20*o = -w. Which is bigger: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.211 - -0.111. Is m <= -0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*s + 173 = 40 + 53 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**2\/9 - 42640*w\/9.\nAnswer: 2*w*(w - 21320)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -s**3 + 4 - 3 - 7.\nAnswer: -s**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 189 = -19*x + 46*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: What is 707758687 take away -0.4?\nAnswer: 707758687.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -12 + (-13 - (-26 + 5 - -11))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-2\/7))**50\/((m\/m**5)\/m**(-2)))\/(((m\/m**(4\/7))\/(m**(-1\/9)*m))\/(m\/(m\/(m**(1\/4)*m))*m**(-8))) assuming m is positive.\nAnswer: m**(-4681\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.4  (b) 3\/2  (c) 1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 2*j**3 - 32*j**2 - 7*j + 9. Give n(16).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -29, 187552 in descending order.\nAnswer: 187552, 1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 37684448 to the nearest integer?\nAnswer: 6139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.3334 and 0?\nAnswer: 0.3334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 38, 2, -1, -4 in increasing order.\nAnswer: -4, -1, 2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*u - 12*u - 20*u - 13*u as g + s*u and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4703 - 198728.\nAnswer: -194025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 60410516 (base 8) to base 14\nAnswer: 1990dc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -4727, -19077, -43005, -76517, -119619?\n\"Answer: -z**3 - 4783*z**2 + 6*z + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 120 in 362, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*s - 5*v - 230, -4*v + 84708 = 3*s + v + 84856 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -24.693 to one decimal place.\nAnswer: -24.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 968 = -s - 0*m, s = 2*m + 968. Let f = s + -478. List the prime factors of f.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2231 a factor of 34608382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**3 + 4*k**2 + 66*k + 714. Let y be r(-7). Calculate the highest common divisor of y and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -8*((-30)\/12 + 1\/1). Suppose k*o - 15 = 7*o. Suppose 13 = o*a + 3*q - 5, 5*a - 5*q + 10 = 0. Solve 0*z - a*z = 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6314 - 6314.00016383. What is n rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 538064, 538066, 538068?\n\"Answer: 2*f + 538062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.039, 0.4, 1\/11, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, 0.1, 2\/19, 3, -701\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 16462*g**2*v*w - 14*g**2*v - 19*g**2 + 3*g*v*w - 20*g*v + 3*v*w + 4585*w wrt g?\nAnswer: 32924*v*w - 28*v - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 744, 1496, 2250, 3006?\n\"Answer: d**2 + 749*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 397 + -375. Let j = 13 - 8. Let h = w - j. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 3*o - 14. Suppose -o = -f - 7. Find the first derivative of -f + h**2 + 3 + 2*h**2 wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(-2) - (-11)\/2. Suppose -16 = -d*g + 9. Let z = -2\/1497 + 1517\/14970. Which is the smallest value?  (a) g  (b) 1  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 75*h - 65*h - 37*h.\nAnswer: -27*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1*(1 - 6 - -5266) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -13048206*m**2. Let y(r) = -2*r. Give y(v(j)).\nAnswer: 26096412*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-12)*28\/35. Let n = -0.11 - 2.49. Let c = 2.5 + n. Is b greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 17071402*k**2*n**2 - 18*k**2*n - k**2 + 3*k*n - 3*k - 3*n**2 - 4*n - 50 wrt n.\nAnswer: 34142804*k**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 2*m + 17 = 0, 0 = 5*o + 2*m + 3*m - 30. Suppose o*b + 2 = -2*u + 4*b, 0 = 5*u + 3*b + 7. Let l = 6\/65 - 43\/325. Is u at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -30714 times -0.0245\nAnswer: 752.493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(833) + 1)**2*-5 + sqrt(833) - sqrt(833).\nAnswer: -4170 - 70*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from hhxhd?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-5))\/(28\/(-40)*108\/189)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 4, h: 3}. Give prob of picking 2 s.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 504965.6 decades?\nAnswer: 50496.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = 3*k + 8*s + 30, 0 = 4*k + 5*s - 2*s - 13 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(20\/15*3\/(-6)). Find the third derivative of 43*o**2 + 8*o**5 - 8*o**5 + 243*o**n - 133*o**6 + o**3 wrt o.\nAnswer: 13200*o**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -7*s + 5544. Suppose -s = 8*l - 5964. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**3 - 2*k**2 + k - 2. Let j = 8 + -3. Let l(g) = 3*g**3 + 5*g**2 - 2*g + 4. Determine j*w(o) + 2*l(o).\nAnswer: o**3 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 486374 and 686?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 380*w = 29*w - 159*w - 12240 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28769142.\nAnswer: 2, 3, 53, 90469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 + 7*g + 7. Let q be j(-6). Suppose c - 4*h = -q, 5*c + 3 = -2*h - 2. Put 0.4, -5, c in increasing order.\nAnswer: -5, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*r, 0*r = -3*v - 2*r + 122. Suppose f + 4*f - v = 0. Calculate the highest common factor of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 - 1134234?\nAnswer: -1134235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -72057, -143351, -214645, -285939, -357233?\nAnswer: -428527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 130003 - -12?\nAnswer: 130021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 + 2*o**2 - 4 + (o + 1 - 1)*((-1 + 2 + 0)*(1 - 1 - o) - 185*o + 168*o - 372*o + (o + 1 - 1)*(0 - 1 + 3)).\nAnswer: -386*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = q + 3*v, -q - q = -v + 19. Let t(a) = 82*a - 237. Let d be t(3). Let h = d + q. Solve 0*x + 4*x + 3*s - 1 = 0, h*x = 5*s + 33 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1114, -2220, -3324, -4426, -5526, -6624?\n\"Answer: l**2 - 1109*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9762*x**2 + 3319*x**2 + 4954*x**2.\nAnswer: -1489*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -7  (b) 2  (c) -4  (d) 4  (e) -5  (f) 1\/11  (g) -486\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g = -5*z, -3*g + 13 + 0 = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11313 - 1?\nAnswer: -11320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3512, -14050, -31626, -56252, -87940?\nAnswer: -126702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -23162.306 rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 2 t when four letters picked without replacement from taatttamma.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f - f - 8. Suppose f*x = -x - 160. Calculate the common denominator of x and -7\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -640, -2565, -5774, -10267, -16044, -23105?\n\"Answer: -642*o**2 + o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -2*q - 1. Let c(p) = 29*p - 161. Let i(k) = c(k) + 6*n(k). Let v be i(10). Solve 7*h + 4*t + 16 = v*h, 2*h + 4*t = -12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -151, -245, -341, -439, -539, -641?\n\"Answer: -b**2 - 91*b - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 234 - -6?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -7\/5  (b) 2\/15  (c) 32  (d) 1  (e) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 67612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i + 2. Let p be s(0). Let w = 13 + -12.1. Let m = w - 1.4. Which is the closest to -2\/5?  (a) 0.1  (b) p  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10.63 - -10.23. Suppose 5*h = -6*t + t, 4*h + 5*t - 2 = 0. What is the third biggest value in l, -0.28, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -4*q + 45. Calculate the least common multiple of 6 and 2 + q - 27\/9.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 1795879*j - 5. Let w(d) = -2*d. What is n(w(s))?\nAnswer: -3591758*s - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3220*h**2 + 3611.\nAnswer: -6440*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -4*u + 35. Let k be a(8). Suppose k*j - 20 = -5. Solve f - 7 = 3*n, -j*n + 3*f + 2*f - 5 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times 19?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 271393 - 271393 - 3*l - l**2.\nAnswer: -l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 2317 - 1138 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 2*v**3 - 15*v**2 - 12*v + 28. Calculate i(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4160 - 12359\/3. Let o = -38 + w. Let b = -5\/6 + o. Is b < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*d**2*p**3 + 27*d**2*p**2 - 14*d**2 - 79*d*p**3 - 2*p - 34 wrt p.\nAnswer: 18*d**2*p + 54*d**2 - 474*d*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/5*w**3 - 2\/5*w**2 + 0 + 0*w.\nAnswer: 2*w**2*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-12)\/15 + 0)\/((-3)\/15). Solve h*y - y + 3*j = 3, -6 = -4*y - 3*j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 176*j**2 - 100. Let u(f) = -16*f**2 + 9. Let t(s) = -6*i(s) - 68*u(s). Find the first derivative of t(g) wrt g.\nAnswer: 64*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7491351?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22 - 38 - (-3 + 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9600\/(-99) + -3091 + 3188.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the second derivative of m**8\/3360 + m**7\/840 - m**5\/120 - m**4\/48 - 5*m**3\/6 - 2*m. Let k(v) be the second derivative of r(v). Factor k(n).\nAnswer: (n - 1)*(n + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -746 - -2167. List the prime factors of k.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-96)\/(-4))\/4*1\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 4538, 4463, 4340, 4169, 3950?\n\"Answer: -24*d**2 - 3*d + 4565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 + 51*k. Let q(s) = 13*s. Give 2*j(v) - 9*q(v).\nAnswer: -2*v**2 - 15*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*l - 4*l + 5*l - 79 - 5*l + 79 + 0*l + 0*l + 2*l + (0*l - 4*l + 3*l)*(0 - 2 + 1))*(-111*l - 30*l - 24*l) to the form d*l + n + f*l**2 and give f.\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -146771 - 3546\nAnswer: -150317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*-440741\nAnswer: -132222.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:52 AM and 9:43 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 67 divide 31557?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -173, -330, -487, -644, -801?\nAnswer: -958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23 (base 5) to base 16.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -9*a**2. Let j(b) = 5092*b - 2542*b - 2550*b + 6*b**2. Calculate l(j(n)).\nAnswer: -324*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 30024414 (base 6) to base 5\nAnswer: 203442133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 19421\/35 - 3880\/7. What is the closest to s in 3\/4, -2\/11, -5\/6, -0.3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:47 AM and 9:23 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -849*g**2 - 122*g + 25. Let j(u) = 71*u**2 + 10*u - 2. Give -74*j(y) - 6*r(y).\nAnswer: -160*y**2 - 8*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-510)\/22 + 2\/11. Let k = -31 - y. What is the remainder when 16 is divided by 37\/4 - (-2)\/k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 19 = 5*o, 8*f - 12*f + 10 = -o. Let n(p) = -11 + o - 9 - p**2 - 1 - 8*p + 2*p**2. Give n(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qidd when four letters picked without replacement from {q: 1, d: 4, i: 5, y: 1}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 9118 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + r = -z + 17, z + 2*r - 10 = 0. Suppose 0 = -z*g + 20*g - 192. Solve -3*t - 1 + g = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:12 PM and 1:08 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 202893524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3*(-2)\/1)\/(-48 - -47). What is the greatest common factor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = 22 - 2. Let y(a) = -7 + x*a - 11*a - 3 + 2. Give y(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/1*(-2)\/16*-1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.876 - -4.976. Sort 0.4, u, 11\/4.\nAnswer: u, 0.4, 11\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.03 + 0.53. Let r = 0.8 - k. What is the nearest to 1 in r, 4, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 - (17 - (1 + 5)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 24*a**2 - 7 + 98*a**5 + 3 + 4 wrt a?\nAnswer: 5880*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -539068, -1078137, -1617206?\n\"Answer: -539069*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*p**3 - 3850 - p**3 - 3860 + 7710.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-150)\/42 + (15 - (-108)\/(-7)) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-8976)\/(-42) + (-2)\/(-7). Suppose 5*y + m + 507 = -541, y - 2*m = -i. Let n be (-2)\/(-4) - y\/12. Solve -2 = 2*c - c - a, -n = -c - 3*a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*l = 17*l - 5*l. Solve 35*a - 34*a - 5 = l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 2*t - 10, 0*r + 3*t = -4*r - 18. Let l(h) = -2*h**2 - h + 2. Let i(y) = -9*y**2 - 4*y + 9. Determine r*i(p) + 26*l(p).\nAnswer: 2*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (12 - (10 + -1 - 8)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -24 - -23.35. Let b = 0.65000058 + n. What is b rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = 4*m - 4. Suppose m = 2*i + 9. What is the nearest to -1 in -1\/6, 4, i?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.067 + -0.067. Which is the second biggest value?  (a) g  (b) 1\/238  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 66 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -15072 + 3?\nAnswer: -15068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the first derivative of 7*y**3 - 4*y**2 - 2*y + 1. Let o = 989 - 992. Is m(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 137787673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 618\/55 - 971\/110. Find the common denominator of r and 71\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*k + k. Find the first derivative of 38*j**2 + 11*j**4 + 7 - 38*j**k wrt j.\nAnswer: 44*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 80.89 to 0 dps.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 130190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.6431 + 0.3569. Which is the closest to -0.1?  (a) h  (b) 1\/5  (c) 132\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 119\/14*3528\/(-1666)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 11430 and 3144520?\nAnswer: 28300680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b7 (base 15) to base 5.\nAnswer: -1142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*y - 239*y + 60*y + 51*y + 72*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13.2 + -52.8. Let w = 61 + v. Let f be 15\/6 + 2\/4. What is the closest to -0.2 in w, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the second derivative of -r**5\/30 - 4*r**4\/3 + r**3\/9 + 8*r**2 + 724*r. Solve o(p) = 0 for p.\nAnswer: -24, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 121*m - 310*m = -3591 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 743536718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hrm when three letters picked without replacement from jjhejjehjjmrnjjjjj.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**4 + 13*n**2 - 7. Suppose -2*w + 7 = 3. Let i(s) = 4*s**w - 4 + 0*s**2 + 2. Let m(d) = -7*i(d) + 2*x(d). Factor m(r).\nAnswer: 2*r**2*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 - (-2 - 1\/(-1)). Suppose n - r - 3 = 0. Which is the smallest value?  (a) 0.5  (b) n  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -709 or -707?\nAnswer: -707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.3, 70, 0.2, -7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/5 of a millennium in decades?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 810511983 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-1)\/(-3))\/(9\/135). Let f be (-1*3*-1)\/(-1). Suppose -2*k + 6 = 4*o - 5*k, -2*o + 4*k + 8 = 0. Sort f, b, o in increasing order.\nAnswer: f, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) 2  (c) 56  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -2*z + 88. What is i(41)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 4*m + 71 = -m, -3*b = -4*m - 60. Let x = b - 8. Solve 3*a = a - x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (3 + -1)*(18802\/4 - 5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2379925 times 5?\nAnswer: -11899625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -6\/7, 3\/11, -79, 3 in increasing order.\nAnswer: -79, -6\/7, 3\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 1 + 2)*(-2*f + f - f)*(6*f + 1 + 2 - 2).\nAnswer: -84*f**2 - 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 86 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -b + a, -12*b + 11*b - 2*a = -8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + ((sqrt(110) + -1*-1*sqrt(110) + sqrt(110) - sqrt(110)) + (sqrt(110) + sqrt(110)*1)*5)\/(sqrt(360)*-2*6))**2.\nAnswer: sqrt(11) + 335\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**2 + k. Let m(i) = i**2 + 12*i + 3. Let h(t) = -2*l(t) + m(t). Suppose j - 3*u = 5 - 0, -j + 2*u = -6. Is h(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the first derivative of f**6\/3 - 6*f**5\/5 + f**4 + 4*f**3\/3 - 3*f**2 + 2*f - 39. Suppose y(z) = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12 + 18. Suppose 4*o - t = 6. What is the third derivative of -u**2 - 2*u**o - 3*u**2 + 2*u**2 wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j - 2. Suppose 2*p + 4 = 5*u, -u + p + 2*p - 7 = 0. Suppose -w - 5*i - 17 = 0, u*w - 9*i + 7*i = -10. Calculate o(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -2*i**2 + 22*i + 29. Let d be m(12). Let c(k) = -1 + 4 - 4*k**2 + 4*k + 3*k**2. What is c(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 5 + 13 = 0. Let m(y) = -6*y**k - 6*y**2 + 17*y**2. Let u(q) = -q. Calculate u(m(o)).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Total of -6252 and -1.7080385.\nAnswer: -6253.7080385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - m - 2 = 0. Let k(f) = -2*f - 1. Suppose -o + 3 = -2*o + 4*v, 3*v - 1 = o. Let x(c) = -3*c - 1. Let t(j) = o*k(j) - 4*x(j). Calculate t(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -150 (base 6) to base 3.\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 12494591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**3 - 6*k**2 - 3*k + 7. Let b be m(-5). Is (1\/b)\/(4\/(-13812)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 12 = 6. Suppose -3*s - 2*s = -3*z + 55, 4*s = -z + 7. Let q = z + g. What is the remainder when 16 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1576239?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 174*q + 0*q**2 - 160*q - 2*q**2 to o*q + h*q**2 + i and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 2, j: 1, x: 1, y: 3, h: 3}. What is prob of picking 1 x, 1 j, and 2 e?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15710, 121687, 408182, 965453, 1883758, 3253355?\nAnswer: 5164502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = 11*i - 2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y - 523 = 8*m - 196, 4*y + 78 = -2*m for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (711\/(-90) - -9 - 7) + 2\/(-20)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 200 greater than or equal to 4\/94157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6 - 6 - 4*w**5 + (-w**3 + 5 + 2 - 6 + (2*w**2 - w**2 - 2*w**2)*(w + 0*w + 0*w))*(5*w**2 - w**2 - 3*w**2).\nAnswer: -6*w**5 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 2*j = -w + 4, 0 = -5*j + 4*w - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34 + 5*s**3 + 34 + 2*s**3.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2204861*x + 2204923*x - 2666 = 0 for x.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 10 - 12 - (41 - (19 - 64))\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -211310035*w. Let l(i) = 6*i**2. What is v(l(d))?\nAnswer: -1267860210*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**2 + 16*r + 19. What is x(13)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + 5*a = -6*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 14) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28073789, 56147577, 84221365, 112295153, 140368941?\nAnswer: 168442729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3600000\/(6\/20*1). Suppose 0*d = 2*d + k. What is d rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -19 + 19. Suppose h = -4*n + 10 + 6, -5*m = n - 174. Let i = m + -11. List the prime factors of i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p\/p**(1\/3))\/(p\/p**(-5)))\/((p*p**(-2))\/(p\/p**(-4\/5)*p)))**(-50) assuming p is positive.\nAnswer: p**(230\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 17257001 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -352, -1688, -5342, -12472, -24236, -41792, -66298, -98912?\nAnswer: -140792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 + 4*d**2 + 51*d - 357. Give s(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (87*t - 24*t**2 - 87*t)*(-5*t - 6*t + 3*t + (4*t - 3*t + 4*t)*(3 + 4 - 5)).\nAnswer: -48*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k - 77 - 133. Let w be (-2)\/3 + 100\/k. Suppose 8\/7*h - 8\/7 - w*h**2 = 0. What is h?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 14 - (-2)\/((-6)\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**3 - 52*b**2 + 145*b + 101. Calculate a(49).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 0*y**2 - 3*y**2 + 2*y**2 - 4*y - 3. Determine r(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 3*b**3 + b**2 + 9*b + 1. Let a(o) = o**3. What is a(w) - u(w)?\nAnswer: -2*w**3 - w**2 - 9*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -5*d**5 + 146110*d**4 - 1069304300*d**3 + 27726566760*d**2 - 170523325440*d + 306866309760 = 0.\nAnswer: 4, 18, 14598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from emmmmsmssmmmsm. Give prob of sequence sm.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f**2 + 11*f - 9. Let r be o(9). Let w = 416 - -2168. Suppose r*n = 7667 + w. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -43*k**2 + 27*k + 16*k - 831 + k**3 + 785. Let q be x(42). Let h(r) = -5*r**2 + 4*r - 4. Let z(s) = 70*s**2 - 55*s + 55. Determine q*z(g) - 55*h(g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 370 is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -17*i + 7*i + 9*i. Let l(n) be the first derivative of 5*n**3\/3 + 1. Determine x(l(r)).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**2. Let l(f) be the second derivative of f**4\/6 + 2*f. Determine j(l(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -29 + 31. Let u = 2.3 - -0.7. Let k = 2609\/11 - 237. Put u, g, k in decreasing order.\nAnswer: u, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**0)**49*(l**1*l*l)**(-38))**(2\/53) assuming l is positive.\nAnswer: l**(-130\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is (-15 - -14) + 13*6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 10*h**2 + 15*h + 2. Let k(p) = -41*p**2 - 60*p - 9. Let v(i) = 9*f(i) + 2*k(i). Find the second derivative of v(s) wrt s.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 6:41 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 2*x - x - 1 + x**3 + 0. Let w(m) = -4*m**3 - 2*m + 1. Let u be ((-8)\/6)\/((-14)\/(-21)). Give u*d(r) - w(r).\nAnswer: 2*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4640*s - 5167*s + 8999*s.\nAnswer: -808*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 25, -1\/211, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1469 - -8939\/6. Calculate the common denominator of 2\/(-5) + (-237)\/(-30) and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the third derivative of m**7\/1050 - m**5\/300 - 2*m**2. Let t(d) = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/o**2)\/o)**15*(o*o*o**(-6\/11))**(-7) assuming o is positive.\nAnswer: o**(-277\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrgrrrrgrrrrgrrrrgrg?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-669 - 43)\/((-1)\/625). What is z rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10*f**4 + 2*f**2 + 10*f**2 - 4*f**2 + 5*f**2 wrt f?\nAnswer: 240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 211 and 0.5?\nAnswer: 105.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -7897863 rounded to the nearest one thousand?\nAnswer: -7898000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 26 in 4\/5, 0.016, -15?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f\/(f*f\/f**(-2\/9))*f)\/f)\/f**(1\/15) assuming f is positive.\nAnswer: f**(-13\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.35225 times -1.5?\nAnswer: 0.528375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 133 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -281  (c) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 3*h = -1, -22*h + 17*h = -v + 29. What is the third smallest value in -5, -2\/33, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes after 5:03 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 92887*t + 109564 with respect to t.\nAnswer: 92887","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from dkdkddf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is (255 + -7949)\/(-2*(1 - 0)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.2  (b) -23  (c) 7  (d) 1\/4  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/28?  (a) 2\/13  (b) 0.4  (c) 1\/11  (d) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -4545, -4636, -4727?\n\"Answer: -91*q - 4454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jxz when three letters picked without replacement from {d: 1, x: 1, j: 4, y: 3, z: 2}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Total of -7993 and -2378.\nAnswer: -10371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -81*j**2 - 1305*j + 20. Give n(-16).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**3 - a**2 - a + 3. Let n be k(0). Suppose w = -4 + 7. Let u = -124 + 133. Solve -u = -n*j - w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -1226 - 1244. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(-2*sqrt(88) - sqrt(88)) + sqrt(88))*-5)\/(2*1*sqrt(648)).\nAnswer: -25*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -2. Let a(v) = 34*v - 3. Let m(b) = a(b) + 3*g(b). Let l be m(-7). Let r = l + 458. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**2. Let d(b) = -6053865*b. Calculate k(d(u)).\nAnswer: 36649281438225*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -83, -459, -1467, -3419, -6627, -11403, -18059?\nAnswer: -26907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 36843786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -3*h**2 - 42*h - 11. List the prime factors of l(-13).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 98\/51455 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**9)\/(t\/t**(-4\/3)*t))\/(t**(-4)*t**(-6)*t) assuming t is positive.\nAnswer: t**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the first derivative of 4*v**6\/9 + 12*v**5\/5 + 43*v**4\/8 + 115*v**3\/18 + 17*v**2\/4 + 3*v\/2 + 41. Factor h(r).\nAnswer: (r + 1)**3*(4*r + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 586 = 4*b + 3*i, 0 = -2*b + 5*i + 1194. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -24731, -24731, -24729, -24725, -24719, -24711?\n\"Answer: k**2 - 3*k - 24729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 - r**2 + r + 1813863. Let j be x(0). Suppose -2*b - j = 1426137. What is b rounded to the nearest one hundred thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.65104 and 0.166.\nAnswer: -0.10807264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 100.6893499 - 100.69. Round o to five dps.\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v + 26. Let p be r(-6). Suppose -7*d + 3*d = -p. Suppose -d*g + 0*g + 135 = 0. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 8*r - 1. Let j(y) = 3*y**2 - 4*y + 4722. Give j(k(c)).\nAnswer: 192*c**2 - 80*c + 4729","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*p**2 + 3633900*p + 660261460500.\nAnswer: 5*(p + 363390)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 6583122037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 948, 1761, 2574, 3387, 4200?\n\"Answer: 813*z + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 833 and 42601188?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*t**3 - t**3 + 63*t**3.\nAnswer: 75*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 0)*(3 + p - 3) + 0*p - p - 5*p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -119*w + 641*w**2 + 61*w + 58*w to d + a*w + c*w**2 and give c.\nAnswer: 641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes after 6:01 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-3)\/1)\/(-2 + 1). Suppose y*z - 5 = 2*z. Let b be 60\/((-8)\/2) + 4984\/178. Solve -7 = -z*s + b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*g + 22*g = 15*g - 108372. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = y, 4*j + 48 + 30 = 26*y - 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -4*n**2 + 108*n - 91. What is u(26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2251 = -388*t + 2531 + 15628 for t.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the third derivative of l**4\/12 + 8013*l**2. Let p(o) = -17028*o**2 + 1. Determine m(p(d)).\nAnswer: -34056*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -566*t + 164. Let n be r(-2). What is the greatest common divisor of n and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14985 and 629.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -221*t**3 - 10*t**2 + 0*t**3 + 2*t - 3*t**2 - 31*t**3.\nAnswer: -252*t**3 - 13*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/3 + ((-13)\/(-117))\/1. Let i = 0.298 + -0.028. Let w = i + 3.73. Which is the nearest to r?  (a) 0.3  (b) w  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-3\/11)\/h*h)**41*h*h**(-6)*h\/(h\/(h\/h**(-5\/4))))**(-30) assuming h is positive.\nAnswer: h**(9195\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 - -49. What are the prime factors of s?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from odgwgfwwwgrdw?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 77 and 47103.\nAnswer: 518133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 67022 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2578 - 2578 + 63*z - 61*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -2*t - 252000, 0 = 4*q + t + 39582 + 212418. Round q to the nearest 1000.\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 - x**2 + x - 55. Let j be b(0). Let d be (-8)\/(-5) + (-22)\/j. Solve d*o + 5 = 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + 1 + 585\/(-82 - -17).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the third derivative of g**9\/168 - g**5\/60 + 7*g**2. What is the third derivative of l(d) wrt d?\nAnswer: 360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67*o = 202 - 1. Solve 0*p - 12\/7*p**2 + 0 + 4\/7*p**o = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-30116)\/(-24) + (-2)\/(-12). Suppose -22*s + g = -17*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.26227 millilitres to litres.\nAnswer: 0.00626227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n**2 + n**2 - 2*n**2)*(-2 + 0 + 1) + (-6*n**2 + 0*n**2 - 5*n**2)*(3 + 4 - 2).\nAnswer: -56*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s - 102. Let a(o) = -34. Calculate -7*a(r) + 2*l(r).\nAnswer: -2*r + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v**2 + 12*v**2 - 4*v**2)*((-4 + 2 + 1)*(-v - v + 3*v) + 23*v - 11*v + 8*v + 0*v + 3*v - v).\nAnswer: 231*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -191363 or -191362?\nAnswer: -191362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - z = -3*d - 20, -2*d = z + 10. Let c be 2\/(-5) + (-4)\/z. Suppose c*v = 2*v - 6. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*v**5 - v**5 + 2*v**5 + (v**2 - 2*v**2 - v**2)*(2*v**2 + 2*v**3 - 2*v**2) + 3 + v**5 - 3 + 181 - 181 + 280*v**5.\nAnswer: 275*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (1*2*sqrt(1300))**2*-3 + -2*-4*-1*sqrt(1300))*3.\nAnswer: -46815 - 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/5 - 3488\/160. Which is greater: d or -162\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or 655\/147?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.7383 + -0.7383. What is the closest to q in 0.36, -7, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 - -1.7. Let j = -0.7 + w. Which is smaller: j or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 955, 1908, 2861?\nAnswer: 3814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 21 = 4*a, 3*i - 4 = -2*a - 11. Let h be i\/(-4) + 116\/16. Solve -h*x + 3*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 = 29*y - 25*y. Suppose y*o = 8*o + 480. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13\/67 + 2\/335. Let f(v) = v**3 - 6*v**2 + 6*v - 4. Let g be f(5). Let q = -4 + g. Which is the third biggest value?  (a) -0.1  (b) h  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xvvvvvvvvvvmxm. Give prob of picking 2 v and 2 x.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llswsfxwmwwl. Give prob of sequence wmsx.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:45 PM and 12:50 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -5  (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 3*p - 113 = 149, -4*q + 2*p + 252 = 0. What is the remainder when q is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(7\/11)*n)\/n*n*n**28*n*n*n**(1\/4)*(n**(1\/7)*n*n)\/n*n assuming n is positive.\nAnswer: n**(10481\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 8*w**2 + 12978*w + 1420004. Give f(-118).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes before 8:31 AM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -14*o**2. Let u(m) = 5*m**2. Suppose 0 = -s - 2*s + 96. Suppose 5*n - 40 = -2*l, 5*n = 3*n - 4*l + s. What is n*z(i) + 17*u(i)?\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -792 + 791.7. Let g = 0.5 - 4.5. Let d be (-4)\/18 - 184\/(-180). What is the second smallest value in g, b, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 144094587?\nAnswer: 3, 7, 13, 527819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:41 PM and 12:12 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 595657177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 341765988 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 8325662, 8325630, 8325598?\n\"Answer: -32*x + 8325694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**4 + 16*m**3 - 5*m - 29*m**3 + 25*m**3 + 9*m**2 - 12 - 7*m.\nAnswer: 3*(m - 1)*(m + 1)*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k. Let p(f) = -3553*f + 185. Give p(y(g)).\nAnswer: -3553*g + 185","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -21262 and -6.\nAnswer: 127572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1031 is divided by 429?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 5, e: 3, w: 4}. Give prob of sequence zw.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**3 + 5*s**2 - s + 6. Let m be v(5). Let l = m - 6. Let p = l - -10. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + 0*r - 72 = 6*i, 57 = 150281*i - 150284*i - 2*r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -19*c**3 - 11*c - 120 + 2*c**3 + 129. Let n(s) = -s**3 - 5*s - 2*s**3 - 5*s**3 + 4. What is 6*a(x) - 13*n(x)?\nAnswer: 2*x**3 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*y**4 + 2664*y**3 - 702941*y.\nAnswer: 60*y**2 + 15984*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*g + 509 + 496 = 0. Is g a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ttd when three letters picked without replacement from {t: 10, x: 2, w: 1, d: 3}?\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((q**2\/q*q)\/q)\/q*q)**40)**(-2\/11))**(-3\/22) assuming q is positive.\nAnswer: q**(120\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3 - (3 + -1))*187\/11. Suppose 4 = p - 4*q, -2*p = 4*q + x - 61. Calculate the remainder when p is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.026505962 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 9  (b) -2\/11  (c) 550\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 2853 = 4*y, -4*g - 16*y + 11492 = -12*y. Calculate the greatest common divisor of 19 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h + 8. Let u be s(-12). Let o(q) = -103*q + 86. What is the hundreds digit of o(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (9\/21)\/((-9)\/(-6)). Which is the third smallest value?  (a) 0  (b) y  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the second derivative of o**3\/6 - o + 2227. Let y(u) be the first derivative of 0*u**2 + 0*u + 4\/3*u**3 + 1. Calculate d(y(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3386 and -0.1883.\nAnswer: -637.5838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 677 a factor of 778755131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -56526580 rounded to the nearest 100000?\nAnswer: -56500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/3132 and 15\/29.\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4 + (2 - 0) + (-33)\/(-6). Which is the second biggest value?  (a) -1\/6  (b) d  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -83 - 4*h**4 + 2*h**2 + 2*h**4 - 63*h + 161 - 78 as w*h**4 + f*h + g*h**2 + y + o*h**3 and give f.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -54, -20, 34, 108, 202, 316, 450?\nAnswer: 604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f**3 + 96*f**2 - 35*f - 22675. What is s(93)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*(k*k*k**(-32))\/k*k)\/(k**(1\/14)*k))\/((k\/k**(-2\/51))\/((k*k**(-42))\/k)) assuming k is positive.\nAnswer: k**(-52201\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -179, 0, -2, -3, 33 in ascending order.\nAnswer: -179, -3, -2, 0, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1341569, -1341573, -1341587, -1341617, -1341669, -1341749, -1341863?\n\"Answer: -f**3 + f**2 - 1341569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -42*v**3 + 135*v**2 + 56*v - 86. Let y(j) = 6*j**3 + j**2 - 2. Let p(k) = d(k) + 5*y(k). What is a in p(a) = 0?\nAnswer: -1, 2\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -28 - -28. Solve -4*j = -w*j + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -351.947277 rounded to the nearest 10?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-135)\/18)\/(468\/208) - (-70)\/24.\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(-35))\/(f**(3\/31)\/f) assuming f is positive.\nAnswer: f**(-1026\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are 160 and 645\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 135566 or 135501?\nAnswer: 135501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 543 equal to 5975\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -110111101001001000100 (base 2) to base 15\nAnswer: -260385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**2 - 9*y - 1015. Calculate the lowest common multiple of b(58) and 1421.\nAnswer: 12789","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m = -5*i - 72 + 88, 3*i - 12 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 2*s. Let p(t) = 203723*t**2. Calculate p(b(r)).\nAnswer: 814892*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 (base 15) in base 12?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 400*m**5 - 4720*m**4 - 1116*m**3 + 1856*m**2 + 208*m - 192 = 0 for m.\nAnswer: -1\/2, 2\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-8)*(-48)\/72?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.0215*2.41606\nAnswer: 0.05194529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 35587366 and 6801.\nAnswer: 2267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3\/5, 0.7, 0.3, -5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 28 + -20. What are the prime factors of 1\/(1 - -1)*n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -12, 3.\nAnswer: -12, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -4*l - 0*l. Is 122\/l*(23 + -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 38*s + 69. Let l be b(-3). What is the common denominator of (-15)\/l + (-358)\/60 and -143\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/4)\/(((-1491)\/(-42))\/(-71)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*c + 322 + 151 = -679 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 208*h - 420*h = -204*h + o - 48, -2*h + 3*o - 90 = -5*h - 12*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -569 - 893. Let n = m + 2692. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (-4)\/62 + (-259965)\/(-82150).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -1, -10, 3 in decreasing order.\nAnswer: 3, 2, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 4 - (-1 - 1)) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (2 + (-7 - -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmmjjmmjmjjmj. What is prob of sequence jm?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1292592 rounded to three dps?\nAnswer: 0.129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 764 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18, 343, 1210, 2889, 5650, 9763, 15498, 23125?\nAnswer: 32914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/22 and 117\/110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-138*k + 275*k + 19 - 140*k)*(-1 + 1 + 2).\nAnswer: -6*k + 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -57, -802, 38, 4 in decreasing order.\nAnswer: 38, 4, -57, -802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*(q**(-1)*q)\/q*q)**(2\/7)\/((q\/(q*q**0*q)*q)\/q)**(-8\/13))**(-2) assuming q is positive.\nAnswer: q**(60\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1179411 is divided by 84219?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 6 + 10 = -2*h, -8*q - 41 = h. What is the second smallest value in 4\/3, h, 1\/5, 1\/4, -1\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 16) in base 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 4*j + 12, j + 3 = -4*q - q. Suppose -4*t = 12, -2*p - 5*t - 9 = -q*p. Is 7 a factor of -85*p\/(30\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n**2 - 7*n - 1. Give d(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*p - g, 15*p - 13*p + 9*g = 84. Let u(r) = -7*r - 16. Let f(q) = -4*q - 8. Let l(o) = -5*f(o) + 3*u(o). Let x(s) = 2*s + 9. Give p*l(i) - 2*x(i).\nAnswer: -i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -472 divided by 1?\nAnswer: -472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from iugrzdir?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/30 and 181\/4620.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 4*p. Let y = -14 - -21. Let b(q) = 12*q - 4*q - y*q. Calculate a(b(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -4, 77\/4, 7, 5186?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**3 + g**2 - 5. Suppose 1 = -2*o + 3*h, 4*o + 3*h - 7*h - 4 = 0. Let r be i(o). Round r to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 17529?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 16.1 - 19. Let x = -2.8 - l. Let k = -2 - -1. What is the third biggest value in k, x, 1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.1, 3\/2, 1\/4, 1.1, -315?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from yoooooyvoyooyo?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 2*a - 20 = -2*h, -3*h = -5*a + 8. Let d(i) = 2*i + 3. What is d(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the second derivative of 0*a**2 + 0*a**7 + 1\/4*a**8 - 14*a + 0*a**5 + 0 + 0*a**6 + 0*a**3 - 7\/4*a**4. Find the third derivative of m(f) wrt f.\nAnswer: 1680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-6*-6*(sqrt(88) + sqrt(88)*-1))\/(((1*sqrt(24) + sqrt(24))*-3)\/(sqrt(3) + (sqrt(99)\/sqrt(3))\/sqrt(11))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.6 - 0.8. Which is the second biggest value?  (a) 25  (b) n  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/4, 15208496, 0.1, -2?\nAnswer: 15208496","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, 1951, -1, 4, -1\/2, 28?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -13989*a**3*d - 134*a**2*d + 3*a*d + 3*a - 3 wrt a.\nAnswer: -83934*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 - 2 - (-14 - -7). Let t(f) = f**2 + 75*f - 37*f - 33*f + z. Give t(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1106 divide 149885439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 35922880031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65*m - 226 = 164. Solve -85*w = -87*w - m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -52*w - 21*w + 5*w - 54*w + 7*w + 1 to n*w + b and give n.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 4) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3)*2*4 + 4)*-6 + ((sqrt(1215)*-2 - sqrt(1215)) + sqrt(15) - sqrt(15))\/(2*sqrt(320) + sqrt(320)).\nAnswer: -393*sqrt(3)\/8 - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 4) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4249 and 6273952?\nAnswer: 43917664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -24.4 rounded to 0 dps?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, i: 3, a: 2, l: 1, m: 2, k: 1}. What is prob of sequence ik?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -6489.9 * -1.1\nAnswer: 7138.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -39*s**2 - 33*s. Let n(z) = -5*z**2 - 4*z. Let w be (-1032)\/(-32) - (-12)\/16. What is w*n(r) - 4*y(r)?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d - 21 = -5*j, 2323*d - 1 = 2324*d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:05 PM and 4:08 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -35 - ((29 - -13) + -38)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 127346 and 328.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*k**3 + 3*k**2 - 3*k**2.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1996 or -145727\/73?\nAnswer: -1996","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2698221*x - 2 - 2 + 4 - 2698294*x.\nAnswer: -73*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7194*x**2 - 2*x**3 + 0*x**3 + 500 - 501.\nAnswer: -2*x**3 + 7194*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 9182448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (380\/165)\/((-4)\/438). Suppose -77 = -2*j - 581. Let t = j - c. What is the third biggest value in t, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 20 - -23040122?\nAnswer: 23040142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-75)*-10*(10\/(-1))\/(7\/(-28))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the second derivative of -o**3\/3 + o**2\/2 + 20*o. Let r be t(-1). Solve 0 = r*z - 8*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20.7 + -20.522. Let m = -1.178 + t. Let r be (3 + 0)\/(0 + 1). Which is the third biggest value?  (a) r  (b) -2\/11  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 17107106?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 3*j**2 - 5*j + 4. Let k(w) = -2*w**2 + 3*w - 2. Let b(n) = 3*d(n) + 5*k(n). Calculate b(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*b + 54*b = -6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 549 = 58*t - 61*t. Let g = t + 342. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -10*h**2. Let b(a) be the third derivative of -a**6\/720 + a**4\/2 + 4*a**2. Let w(r) be the second derivative of b(r). Calculate w(m(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 49 in 1\/5, 3, 0.02?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -2*w - 3. Let g = 3 - 6. Let f be 1 - 10\/2 - 2. Let q(x) = -2*x + 1. Let b(o) = 3*o. Let a(i) = f*b(i) - 7*q(i). What is g*a(m) + 7*j(m)?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ujujssjujsjjsjjju?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes after 12:17 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-2*a**2 - 4*a + 4*a)*(0 + 2 - 4) + 2*a**2 - 3*a**2 + 3*a**2)*(15 - 35 - 188) as m*a**2 + n*a + z and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 651974 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: Solve 5*o + k + 2417 - 2410 = 0, -2*o + 3*k + 21 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**3 - 13*z**2 + 21*z + 13. Calculate the least common multiple of k(11) and 156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26, -4, -36, -70, -106, -144, -184?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -422 (base 6) in base 8?\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 less than -9861115?\nAnswer: -9861113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 71 divide 93115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vll when three letters picked without replacement from hwlhlllwavlq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let o = 22 - 13. Let x(r) = r**3 - 7*r**2 - 4*r + 1. Is x(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*f**4 - f**2 - f**4 + 4*f**4 + (2 + f**2 - 2)*(-1 + 1 - 4*f**2).\nAnswer: -8*f**4 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 389 is divided by 126?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 6*p - 14. Let b be d(4). List the prime factors of (2 + -1 + -2)*(b + -96).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.5, 395172, 0, -3\/2, 2, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 5, 704 in decreasing order.\nAnswer: 704, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 l when two letters picked without replacement from {x: 2, l: 3, d: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:58 PM and 5:10 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**2. Let p(v) = 15*v**2 - 65 + 65. Give -18*c(d) - p(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-13)\/3 - 4\/6. Let c be (q*(2 - -1))\/(-1). Suppose -9 = -4*t + c. Calculate the greatest common factor of t and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2 - 1\/(-3)*0. Let v(o) = 190*o**2 + 6*o - 6 - 100*o**2 - 98*o**2. Let m(l) = l**2 - l + 1. Calculate f*v(u) - 12*m(u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1030592?\nAnswer: 2, 16103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -3. Let n(s) = -1. Let m(r) = 8*n(r) - 3*t(r). Let f(d) = -d**2 + 9. Determine -2*f(g) + 18*m(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -64296308*-0.1.\nAnswer: 6429630.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in fourty-four fifths of a centimeter?\nAnswer: 88000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 36\/12 - 10 - -14\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12233 is divided by 12212.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -24*k**3*p**3 + k**3*p + 4285*k**3 - 2*k*p**3 + 71*k*p**2 + 1584*k wrt k.\nAnswer: -144*k*p**3 + 6*k*p + 25710*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 96415064 and 13?\nAnswer: 1253395832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23, -106, -335, -676, -1141, -1742, -2491?\nAnswer: -3400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -7, -1\/2, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a**4 + 488*a**3 - 15120*a**2 + 77976*a - 110700 = 0. What is a?\nAnswer: 3, 41, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.0176 * 19\nAnswer: -0.3344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 324, 328, 342, 372, 424?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7451837?\nAnswer: 37, 201401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + 4*(-3)\/(-4). Solve 2*s = -i*n - 6, -2*s - 2 = -0*s + 3*n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 4*d = 64, -d + 188 = 5*m + 46. Let q be 1\/4 + (-35)\/m + 6. Let l(y) = y**2. Let g be l(-2). Sort 0, g, q, -6 in decreasing order.\nAnswer: q, g, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 1651023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110001010 (base 2) to base 15.\nAnswer: 1b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2771 + 0.04.\nAnswer: -0.2371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/3316 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 70\/63*891\/55\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -36*j**3 + 152*j**2 - 32*j.\nAnswer: -4*j*(j - 4)*(9*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**2 - x + 72. Let i be k(0). Suppose 0*t - 4*t - i = 0. Let f = t - -52. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-1*sqrt(1700)*-6 + (sqrt(1700) - (-3 + sqrt(1700)*1 - sqrt(1700))))**2.\nAnswer: -166618 - 840*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 - 43 = 6*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 + -3b9ac76?\nAnswer: -3b9ac72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1128 + -1196 - (-2 + -205))\/(0 - -2 - 1).\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 2, s: 1, g: 3, a: 3, v: 5, z: 1}. Give prob of picking 1 s, 1 g, 1 v, and 1 z.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 320 and 331040?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -25, -3, -0.5.\nAnswer: -25, -3, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 5:51 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + (sqrt(272) + 0 - sqrt(272)))*-2)**2*5*4.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6674 - 0.2?\nAnswer: -0.8674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -6609*r + 2147989. Determine x(325).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 6  (b) -20  (c) 0.08  (d) -6\/7  (e) -12\/11  (f) 1\/3  (g) -0.49\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -16*b**3 - 40*b**2. Let c = -1531 + 1571. Let l(m) = -m**2. What is c*l(s) - y(s)?\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 - 0)*(0 - 0). Suppose w = -f - 2. What is the lowest common multiple of 1\/f*(-2 + 0) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y**2 - 2*y**2 + 4*y**2)*(4 + 5 + 5)*(5*y**2 + 43*y**2 + 108*y**2).\nAnswer: 8736*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14876 + -10303. What is the highest common divisor of y and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21, 31, 61, 123, 229?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 75323.\nAnswer: 75323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q + 3*f = -f + 16, -5*q + f + 19 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + f = 76, 3*f - 88 = -6*u + u. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 5*y**2 + 41*y + 51. Let k(v) = 14*v**2 + 123*v + 154. Let o(n) = 8*b(n) - 3*k(n). Let s be o(-19). Solve -s*i - 5*i = 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -2, -11, -6\/107, 3, -4, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -17 in 2, 0, -188, 4, 8\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7 - -642ce?\nAnswer: 642d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**4\/(g**(-2\/15)\/g)*(g*g*g**1)**(-40) assuming g is positive.\nAnswer: g**(-1723\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -136*r - 259. Let z be a(-2). Solve -12 = 19*i - z*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d**2 + 70720*d + 141456 = 0 for d.\nAnswer: -2, 17682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 2*l**2. Let i(q) = -4*q**2 - 3*q. Let g(y) = y**2 + y. Let w(j) = 3*g(j) + i(j). Give n(w(m)).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) -1\/5  (c) -4  (d) 3\/8  (e) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (121 + 245 - 66)*(-3*x**4 + 6*x**4 - 2*x**4) + 4*x**4 - 2*x**4 - 3*x**4.\nAnswer: 299*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -36 + 49. Let j(m) = 0 - z*m**2 - 29471*m**3 - 4 + 10161*m**3 + 3*m. Let r be j(-11). Round r to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from hhfrrffryffrrrhh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 2:27 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 411450 and 6330.\nAnswer: 411450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 18*w**4\/5 - 24*w**3 + 74*w**2\/5 - 12*w\/5.\nAnswer: 2*w*(w - 6)*(3*w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 126413?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 38*j**3 - 12*j**2 + 62*j - 416. What is the hundreds digit of l(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*7 + (-101 - (-769704)\/8190)?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(208) + 1)*6 - ((-2*sqrt(208) - sqrt(208))*1)**2)*-6.\nAnswer: -67176 + 864*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -402 + 408 - (-17 + -1) - 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -839.9999643 + 840. Round d to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7944 and 6408.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 - (-1022)\/(-21))*-3. Differentiate 11 + 135*h - v - 154 with respect to h.\nAnswer: 135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2098852433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s - 25. Let h(a) = -a - 1. Give 2*h(k) + q(k).\nAnswer: -k - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(((-2)\/12)\/((-15)\/90))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*p + 7. Suppose 3*u = p - 15. Let w(x) = -x - 1. Let n be w(-3). Put n, 3, u in ascending order.\nAnswer: u, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6.1, -1, 2, -1\/4, -266, -4 in decreasing order.\nAnswer: 2, -1\/4, -1, -4, -6.1, -266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 46*b - 4268. Calculate c(91).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*u = 2*u + 40 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 151\/48 and -44\/9.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*f**3 - 5*f**3 - f**3 + (0*f - 5*f + 4*f)*(-f**2 - f**2 + f**2) + 3*f**3 + f**3 - f**3 - 2*f**3 + 0*f**3 + 0*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k - 8*l + 1 - 9 = 0, -2*l - 342 = 34*k + 50*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 6*w + w**2 - 10 + 0 + 19. Let b be n(-5). Let u be ((-72)\/(-54))\/(b\/6). Put u, -3, -14 in ascending order.\nAnswer: -14, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -144*t**2 - 134*t**2 + 558*t**2 - 143*t**2 - 3*t - 138*t**2. Calculate u(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -485 (base 15) to base 10.\nAnswer: -1025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -391*(0 - 4\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of k*l**6 + 18014*k*l**4 + 66144*k*l**2 + k*l wrt l?\nAnswer: 120*k*l**3 + 432336*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*r**4 + 11*r - 8*r**3 + 1 - 9*r + 3*r**3 + 1 to the form v + g*r**4 + f*r**3 + j*r + o*r**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (132\/(-147))\/(3356\/(-839)*2\/28)?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/7  (b) 18  (c) 46  (d) 0.4  (e) -3  (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1 from -179597408313.35.\nAnswer: -179597408314.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-g - g + g)*(-g**3 - 2*g**3 + g**3) - 4*g**4 + 4*g**4 - 3*g**4 to r*g**4 + s*g + b*g**3 + u*g**2 + k and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -140 = 223*v + 62 + 599 + 314 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -7*x + 15. Is (32\/20)\/x + (-1533)\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -63 + -16?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a micrometer in nanometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5412 (base 7) to base 13\nAnswer: -b49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes after 6:23 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(152))\/sqrt(2).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*w - 5*w - 2*w + w in the form r*w + f and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes before 7:35 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/18*2\/(-1)*-12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-7\/2)*x*x**15*(x\/(x\/(x*x**(4\/3)*x))*x)**43)**(-20) assuming x is positive.\nAnswer: x**(-11930\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**3 + 18*f**2 + 2*f + 33. What is g(-18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**2 - 16*w + 64. Calculate g(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*c = 4798583858 - 1291583858. What is c rounded to the nearest one million?\nAnswer: -167000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -78, -2, -16, -8, 1, 4 in descending order.\nAnswer: 4, 1, -2, -8, -16, -78","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let i = 4228 + -4152. What is the remainder when i is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a year in months?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of u**3*y**3 + 2*u**3 + 142*y**6 + 3*y**4 + 42*y**2 wrt y.\nAnswer: 6*u**3 + 17040*y**3 + 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 20 + -29. What are the prime factors of ((-12)\/m)\/((-6)\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 5, c: 3}. What is prob of sequence yyc?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 264 or 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m + 8. Let v be u(6). Suppose 4*y = -v*l + 3 + 5, -y + 9 = -3*l. Let h be l - (-2)\/1 - (5100012 - 12). What is h rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4328040394 and 883.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 1\/2, -14, 158, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) -4  (c) 4\/7  (d) -168  (e) 2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence llww when four letters picked without replacement from {w: 4, l: 7}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 13259 not equal to -220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -86 + 146. Let r = u - 59. Which is smaller: r or -2\/45?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 466 = 3*z - 2*q, 9*q = 3*z + 10*q - 460. Let x = 617\/4 - z. What is the fourth smallest value in 0, 5, -6\/5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -162*z**2 + 14. Let p(m) = 54*m**2 - 5. Let k(g) = 8*p(g) + 3*w(g). Let o(a) = 3*a**2. Give k(o(q)).\nAnswer: -486*q**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 n, 1 o, and 1 l when four letters picked without replacement from ppxpnxxnlppof.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**3 + 18*r**2 + 5*r - 117. Calculate w(-17).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -3, -2, -0.4, -0.004, -4\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 1 = v, -3*v - 13*x = -9*x - 4. Let f(l) be the second derivative of -6*l + 3*l**2 - 5\/12*l**4 + 13\/6*l**3 + v. Solve f(u) = 0 for u.\nAnswer: -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1247 times 6.65\nAnswer: 0.829255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 11677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -116, -147, -226, -377, -624?\nAnswer: -991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -25896 - -621629\/24. Calculate the common denominator of p and 2\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the first derivative of a**3\/3 + a**2 - 4. Let j be r(-3). Suppose -3*c - j*n = -8*n - 20, 0 = -5*c + 3*n + 60. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**3 - 6*s**2 - 18*s + 18. Let k be w(8). Suppose 0 = -5*n - 4*j + k*j + 220, -n = -2*j - 56. Calculate the remainder when n is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**5\/3 - 241*o**4 - 483*o**3 - 725*o**2\/3.\nAnswer: o**2*(o - 725)*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes after 2:00 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 213832, 427139, 640446?\nAnswer: 853753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2448) - (1 + 4*sqrt(2448)))*-4 - ((sqrt(612) - (sqrt(612) + 2 + 4)) + 2))**2.\nAnswer: 2304*sqrt(17) + 352576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (10\/4)\/((-14)\/(-28)). Suppose 0*r + 270 = u*r. What is the greatest common factor of r and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p = 2*p - 3*b + 20, 4*p - 2*b + 44 = 3*b for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -481 + -5305?\nAnswer: -5786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 3\/25 of a minute?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/18*(-75 - -66)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 48 (base 12) to base 15\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1240\/(-24))\/(2\/3 - 1).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/101?  (a) -0.03  (b) -0.4  (c) 27.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 288328200?\nAnswer: 2, 3, 5, 661, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -196*k = -119*k - 385 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-1)\/21*7562\/114 + 2 and -83\/441.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**2\/2 + 75*x\/2 - 2300.\nAnswer: (x - 40)*(x + 115)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -28922 - -28930. Solve 3*d = 15, -2*d + h + 7 = -5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2205*-6.\nAnswer: -13230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is bc (base 15) in base 11?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 + 25*v**2 + 2468*v - 57772. Give w(23).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -9*t**3 - t**2 + 10*t - 1. Let s be -3 + (-3)\/1*1. Is k(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -136560 = 5807*o - 5822*o. What are the prime factors of o?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 3*c - 3083. Let u(a) = 2*a - 1544. What is -3*k(l) + 5*u(l)?\nAnswer: l + 1529","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 803498 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 38190 and -0.258.\nAnswer: -9853.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -348 divided by 3\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 + a15a?\nAnswer: a162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) 26  (b) 0.4  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -866813, -1733625, -2600437, -3467249, -4334061?\nAnswer: -5200873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p + 51 - 88. Calculate the remainder when p is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*i - 40 - 51 + 94.\nAnswer: 27*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 10219877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (0 - (-1 + 11))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -13.337033564 less than 1.01?\nAnswer: 14.347033564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 162714800.\nAnswer: 2, 5, 157, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add together 8920971436388 and 76.\nAnswer: 8920971436464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w**11\/w)\/(w**39*w))**2)**(-2\/17) assuming w is positive.\nAnswer: w**(116\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3 or -191\/66?\nAnswer: -191\/66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 5*o**3 + 12*o**2 - o + 4. Let b(d) = 4*d**3 + 11*d**2 - d + 3. Let u(n) = -6*b(n) + 5*i(n). Give u(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(2 + (sqrt(48)*-1 - sqrt(48) - sqrt(48)) + sqrt(48) - (sqrt(48) + 0 + sqrt(48) + -3)).\nAnswer: -32*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h + 47. Determine n(0).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.4, 902\/7, 3, -3?\nAnswer: 902\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.062561 rounded to four decimal places?\nAnswer: -0.0626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3414020 (base 6) to base 13.\nAnswer: 60b16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 207 - 87. Round r to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1195670*t = 1195290*t + 45980 for t.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2\/17 + 200*y - 6808\/17.\nAnswer: 2*(y - 2)*(y + 1702)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 514 = -i, 4*a + 2*i = 5*i + 1008. List the prime factors of a.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -c**4 - 202*c**3 - 10983*c**2 - 76590*c + 334152 = 0. What is c?\nAnswer: -102, -91, -12, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*q**6*w - 19963*q**3*w**2 + 753*q**2*w**2 - 9*q*w**2 wrt q?\nAnswer: 360*q**3*w - 119778*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -355*c**2 - 242*c**2 + 118*c**2 + 160*c**2 - 263*c**2 as z*c + n + f*c**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes before 7:39 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 15, -2\/31, -70, -4, 0.4?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a + 6*a - 4*a)*(0 - 1 + 3)*(246 - 54 - 106).\nAnswer: 516*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the second derivative of -w**4\/4 - 5*w**2 + 6*w. Let n be m(0). Calculate the least common multiple of (2 - 244\/n) + 12\/20 and 4.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 3*p - 24. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyyvyyvycycywyvyb. What is prob of picking 2 y and 1 c?\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of 29508 and -45816.\nAnswer: -16308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 80 + -77. Suppose g + 20 = 5*t - 0*g, 0 = -a*t + 3*g + 12. Let m(h) = -h**3 + 9*h**2 + 3*h - 6. What is the remainder when m(t) is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 554*x - 553*x + 110 = 0. Let k = 609 - x. What are the prime factors of k?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (2*(sqrt(1584) + -1*sqrt(1584)*-2) + -2 + sqrt(1584) + (5 + sqrt(1584)*-2 - sqrt(1584)))**2.\nAnswer: 288*sqrt(11) + 25349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 886 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Total of 599 and 4.\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 295 - 5090*g**3 + 69*g**5 - 5107*g**3 + 10209*g**3 + 3*g wrt g?\nAnswer: 1380*g**3 + 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16210555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 2*d = 8, -4*o - o + 4*d + 20 = 0. Suppose 3*i - 575 = -2*j, -3*j = 2*i + 3*i - 863. Suppose x - b = o*x - j, b = -5. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1 + 4)*(-3 + 2). Sort 6, n, 2.\nAnswer: n, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(1 - (-16)\/(-12)). Is u smaller than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -26.91698405 to zero decimal places.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 786 (base 11) to base 5\nAnswer: 12231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than or equal to -2\/12349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**6*m)\/(m\/(m**(-15)*m)) assuming m is positive.\nAnswer: m**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 1 + 12 - 14. Let y(f) = f - 14. Let h(i) = 5*v(i) - y(i). Let o be h(6). Solve -4*q - o*s = 22, q - 6*s + 3*s = 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -3*k**2. Let b(s) = 4*s**2 - 2*s + 292. Give b(h(i)).\nAnswer: 36*i**4 + 6*i**2 + 292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the third derivative of -131*i**4\/6 - 11*i**3\/3 + 28*i**2. Is r(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -y**2 - 5 + 5 + (y + 2*y - y)*(4*y - 4*y + 2*y) + (-1 + 0 + 3)*(-2 + y**2 + 0*y**2 + 1) as h + c*y**2 + j*y and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1137049309.\nAnswer: 11, 71, 367, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = a - 19. Suppose 6*q - 24 = 2*q + 4*z, -3*q = -z - a. Is 3*q*(-64)\/(-18) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 809276622 to the nearest integer?\nAnswer: 28448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*a**5 + 1113*a**4 - 2283*a**3 - 16677*a**2 + 40284*a = 0. Calculate a.\nAnswer: -373, -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, 11, -5425, 5, -4 in decreasing order.\nAnswer: 11, 5, 3, -1, -4, -5425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21342 + 6692 = 1125*x + 71867 + 47292 for x.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6 - 129\/8*b**3 - 33\/8*b**4 - 219\/8*b**2 - 21*b - 3\/8*b**5.\nAnswer: -3*(b + 1)**3*(b + 4)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -11420 - -0.2164.\nAnswer: -11419.7836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l**4 + 2*l**4 + l**4 + (l**3 - 5*l**3 + 2*l**3)*(l - 2*l + 2*l) + 2*l**4 + 3*l**4 - 4*l**4 + (4*l**4 + 0*l**4 - 3*l**4)*(1 - 3 + 4).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 176, -8, -0.631, -255 in decreasing order.\nAnswer: 176, -0.631, -8, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) 3  (c) -2.7  (d) -0.25  (e) 0.3  (f) -2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17.17 - -17.07. Let n = -30 + 27. Which is the nearest to 1?  (a) l  (b) 0.6  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 31 = -11. Let j = x + -4. Let m be (j\/1 - 1) + -3. Let b(g) = -g**3 + 5*g**2 + 5*g + 6. What is b(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -249\/76 - -1283\/380. Let h(x) be the first derivative of 14\/15*x**3 + 1 + 0*x - 1\/5*x**6 + k*x**4 - 14\/25*x**5 + 2\/5*x**2. Let h(d) = 0. Calculate d.\nAnswer: -2, -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 118971376?\nAnswer: 2, 59, 193, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 70 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 2*h + 16, 4*l + 0*h = 4*h - 8. Let g(j) = j**3 + 4*j**2 - 2*j + 2. What is the remainder when 17 is divided by g(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3, 1, 4670923 in increasing order.\nAnswer: -4, -3, 1, 4670923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 - -155513?\nAnswer: 155515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 24  (b) 45\/7  (c) -345  (d) -0.3  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 3202*k - 28983. Calculate r(9).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 17*u**5 + 9196*u**4 + 1232282*u**3 + 50380608*u**2 + 137543085*u - 8265348 = 0.\nAnswer: -364, -87, -3, 1\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2325210598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2728, 8516, 14306, 20098?\nAnswer: 25892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**3 + 7*z**2 + 8*z + 6. Let r be u(-5). Let y(k) = 11*k - 379. Let j be y(33). Let w = j + r. Solve 2*v - 5 - 1 = w, -4*p - 23 = -5*v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 45*a**4*d**2 + 1506*a**2*d**3 + 702*d**3 + 1445*d wrt a?\nAnswer: 180*a**3*d**2 + 3012*a*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 271, 283, 297, 313, 331, 351?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 458042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 120*n - 444. What is l(4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jmmmmmmmrjr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -0.3  (b) 0  (c) -5  (d) -61371  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 22\/107?  (a) -1\/8  (b) 0.3  (c) 2  (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -104\/6105 and 67\/78144?\nAnswer: 390720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 85 - 48. Let m(b) = b**2 - 2*b + 7. Let p be m(6). Suppose -4*t = z - 5, -3*t - p - 14 = -3*z. Calculate the remainder when f is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 76068 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - 0)*((-20)\/(-380) - 32844\/639198).\nAnswer: 2\/267","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of 4*t**3\/3 + t**2 + 3*t + 82. Let h = 3 + -5. Let i be p(h). Calculate the highest common divisor of 60 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1338, 2683, 4040, 5415, 6814, 8243, 9708?\n\"Answer: d**3 + 1338*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -538*w + 1983 = 439*w - 316*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ur when two letters picked without replacement from {v: 2, r: 1, u: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vzzu when four letters picked without replacement from {v: 1, z: 2, u: 1, c: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 2*b**3 - b**2 + b. Let u(m) = 2*m**4 - 14*m**3 - 8*m**2 + 12*m. Let t(k) = 4*n(k) + u(k). Let t(z) = 0. Calculate z.\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -19*i + 9. Let c(m) = 18*m - 8. Let y(t) = -t**3 - 6*t**2 + t. Let d be y(-6). Let l(u) = d*c(u) - 5*s(u). Calculate l(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*l - 148 = 8*l. What is the least common multiple of l and 16?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 113*u - 9*u - 22*u + (3 - 1 - 1)*(-4 - u + 4).\nAnswer: 81*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -146 - -3 - (-23 - (32 - 47) - (-12 + -1))?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -60 - 1 - -2 - (-72 + 104).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**2\/4 - 135*h\/4 - 33.\nAnswer: -3*(h + 1)*(h + 44)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.09, -41, -3\/10, 4, 5, -1\/2, -17?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - j = 76216, j - 2*j = 5*l - 76214. Suppose -3*y + 15203 = -y - 3*a, 2*y = -5*a + l. Is 6*(1 + -4)\/9 + y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 161\/90 and ((-124)\/120)\/((2\/1)\/((-10)\/(-195))).\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4884036*d**4 - 33*d**3 + 689635279*d wrt d?\nAnswer: -58608432*d**2 - 198*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5929) - ((sqrt(5929)*-2 - sqrt(5929)) + sqrt(5929)))\/sqrt(7) - (2 + (sqrt(7) - sqrt(63))**2 - (6*(sqrt(21)\/sqrt(3))**2 - sqrt(7))).\nAnswer: 12 + 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -0*r - 2*r. Suppose -g = r*g. Suppose 5*d - 59 - 26 = g. Calculate the remainder when 67 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*t**2 - 5 - 3*t**2 + 5.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-2)\/6)\/((-2)\/24). Suppose 4*x - 248 = -t*h, 5*x = h - 2 - 36. Suppose -26 - h = -2*u. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1116898297 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 - -6. Suppose 5*o + q*f = -20, -2*o = -4*f + 4 - 26. Let b be ((3 + -1)\/(-6))\/(o\/(-39)). Calculate the highest common factor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.49 + 16.\nAnswer: 13.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 1 = 3, -16 = 4*d - 4*a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000014669918 rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**2 - 7*s + 13*s + s**3 - 5 + 6*s. Is a(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 68576, 68984, 69392, 69800, 70208?\n\"Answer: 408*f + 68168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10.59 - 10.589471. What is a rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (546\/(-364)*2\/2)\/(3\/(-14))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*r**4\/7 + 14540*r**3\/7 - 875264*r**2\/7 - 74252*r\/7 + 73040\/7 = 0. What is r?\nAnswer: -1\/3, 1\/4, 83, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-227 + 87 + 65)*(-1 + 1 - 1)*(-2*c + 3*c + 8*c).\nAnswer: 675*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21\/(-15)*45\/(-126)*3.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-2 + sqrt(684)*1)*4)**2 + 3 + (1 + -2*sqrt(475) - (sqrt(475) + -1 + 4)).\nAnswer: -1551*sqrt(19) + 44033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 + 5*u**2 - 5*u + 4. Suppose -5*w = 26 - 6. Let c be -1*(-1 + 2)*w. Calculate r(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 60*y**3 - 1. Let r(j) = 2*j - 1. Let c be r(0). Let b be w(c). Let u be 4\/(-20) + b\/(-5). Solve 0 = -4*n + u, 5*n - 10 = l - 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*t**2 + 4*t**2 - 15 + 8*t**2 + (-3 + 0 + 4)*(-21*t**2 + 0*t**2 - t**2).\nAnswer: -20*t**2 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n**4 + 7830*n**3 - 333895*n**2 - 1437570*n - 1095840 = 0. Calculate n.\nAnswer: -3, -1, 48, 1522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.9712897175 rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z = -t + 9, -3*z - 2*t + 6*t = 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zpgf when four letters picked without replacement from {y: 3, f: 1, j: 4, z: 1, g: 2, p: 1}?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 572762 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 51961.28 nanograms to kilograms.\nAnswer: 0.00000005196128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 30 + -25. Suppose 0 = -4*z + 3*h - p*h + 54, z = -3*h + 6. Suppose 0 = -z*d + 17*d. Solve i + 2*u + 7 = d, 4*i = i + 4*u - 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9852 + -10045. Which is greater: -967\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -8 equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 912854561 to the power of 1\/2, to the nearest integer?\nAnswer: 30213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-40)\/4)\/(-10)*2. Let g be 9 + 77\/(-22) - z\/4. Solve 2*h - 11 = -3*t, -7 - 3 = g*h - 5*t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2350 + 7*d**2 + 2343 - 4692.\nAnswer: 7*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2591566172 to the nearest integer?\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1479348\/87087 + (-34)\/(-6)*-3?\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*o + 2459*o**2 + o**3 - 2459*o**2 + 3 in the form w*o + l*o**3 + t + p*o**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -1. Let d(o) = o + 5. Suppose -3 = -17*k + 31. Calculate k*d(v) - 4*y(v).\nAnswer: 2*v + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 70 - 73. Let j = -3 - r. Let h = 4 - 2. What is the smallest value in h, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 2836 at most 2838?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 + 225264?\nAnswer: 225265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the second derivative of -3*f**8\/560 - f**7\/70 - f**6\/120 - f**3\/3 + 4*f. Let k(w) be the second derivative of j(w). Factor k(z).\nAnswer: -3*z**2*(z + 1)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(-2 - (-111)\/57). Calculate the highest common factor of b and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 0 = 2\/3395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 62574076553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 5*s + 17 = 9, g = -5*s + 2. Put 7, -1, 5, g in descending order.\nAnswer: 7, 5, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in w**2\/4 + 53155945*w\/4 + 13288986 = 0?\nAnswer: -53155944, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 96?  (a) -1  (b) 0.4  (c) 2\/3  (d) -3\/2  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:25 AM and 2:39 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 2*l + 73 = -0*m, -3*m + 71 = l. Calculate the remainder when m is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 3*q**2 - 23*q - 32. Let p(x) = -x**2 + 8*x + 11. Let i(z) = -8*p(z) - 3*y(z). Let o(w) = -24*w + 367. Let h be o(15). Calculate i(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -751 - 22?\nAnswer: -773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/((-1)\/(-1)) + 1. Let i = 270 + -221. What is the greatest common divisor of c and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 13 or 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 369304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*a + 8*a - 9*a + 2 + (4 - 4 + a)*(4 - 2 - 4) + 0*a - 3*a + a - 5 + 5 - 2*a + 0*a + 4*a - 2*a + 0 + a + 0)*(-3*a - a + 0*a).\nAnswer: -12*a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1320 take away 0.13?\nAnswer: 1319.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (-21)\/(-9)*(-4)\/(-14).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(68) + sqrt(68) + 1*sqrt(68)) - 1*(sqrt(68) - sqrt(68)*2))\/(((sqrt(192)\/sqrt(4))\/sqrt(3))\/(-4*sqrt(16))).\nAnswer: -56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 4*g + 5. Let i be r(0). Suppose 6*d - 4*h + 8 = 2*d, 0 = i*d + 2*h - 4. Solve d = -0*q + 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 214292 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, u: 5, m: 3, z: 6, r: 5}. Give prob of picking 1 m and 2 r.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 51461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 8*p**3 - 6 + 46*p**2 + 21 - 1 - 68*p = 0.\nAnswer: -7, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 14*x - 11. Let p(m) = -5*m + 4. Let d = 16 + -5. Let o be ((-6)\/9 - -1)*(2 + 10). What is d*p(k) + o*y(k)?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -6*j + 5*j + 6, 28 = 2*j - 2*p. Calculate the greatest common divisor of j and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -34*y + 62. Let g be t(35). Let l = 1607 + g. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104351*l**2 - 52137*l**2 - 52216*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 108712773 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.1 - 0.9. Let p = 946 + -942. Let h = 10\/29 - -7\/232. Which is the nearest to m?  (a) p  (b) h  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v + 32. Let j be h(6). Suppose f = -4, 5*f = -p + j + 130. Suppose 45 = -w + p. What is the greatest common factor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 47 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.2, 5261, -2, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1293866347 is divided by 422?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 627092.\nAnswer: 2, 211, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -630 = 4*t - 11*t. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -406*t**3 + 91*t**2 - 91*t - 91. Let b be (-1024)\/(-192) - (8\/(-3) - -2). Let d(p) = -9*p**3 + 2*p**2 - 2*p - 2. Determine b*x(m) - 273*d(m).\nAnswer: 21*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12835120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 140*f + 12. Let z be (-1 - 1) + 5\/((-10)\/(-6)). Is m(z) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 22 - 27. Let t(w) = 4*w + 2. Let d(o) = -o**3 + 9*o + 5. Give m*t(z) + 2*d(z).\nAnswer: -2*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 35504 and 36078721?\nAnswer: 2219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2728 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 746690 divided by 10?\nAnswer: 74669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -19 - -27. Suppose 2*y + 4*w - p = 0, w - 3 = -2*w. Solve -22*r + y = -20*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1845)\/(-150))\/(-41)*4*5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 176 by 88.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6835\/2 + -3418. Which is the third biggest value?  (a) 0.4  (b) o  (c) -3\/92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -65*o - 35. What is the hundreds digit of v(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**3 - 3*j - 3. Let b(n) = 2278*n + 99*n**3 + 1 + 8 - 96*n**3 - 2268*n. Suppose 2*q - 21 = -7. Suppose 4 = -2*y + 8. What is q*r(p) + y*b(p)?\nAnswer: -p**3 - p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -2*m - 25. What is d(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2020 + 24365\/12. Find the common denominator of z and 2\/(-4) - (-237)\/36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:04 PM and 3:15 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*15\/20*(-6)\/(-48)*2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen eighths of a millisecond in microseconds?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -84683180, -84683175, -84683170, -84683165, -84683160, -84683155?\n\"Answer: 5*m - 84683185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 132198405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 39015 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes after 4:37 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 983d - -8?\nAnswer: 9847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (13 - (-6 + -9)) + -6. Put a, 2, 6 in descending order.\nAnswer: a, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -4*j. Let c(h) = -3745*h**2. Give c(d(w)).\nAnswer: -59920*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 17*g - 5*g + 65*g + 15*g in the form n + x*g and give x.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 577 + -350. Let m = h - 228.529. Round m to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1744 - 5*i - 1745 + 24*i - 36*i.\nAnswer: -17*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 27 - 15. Let q(c) = -c**3 + 8*c**2 - 6*c. Let d be q(7). Let v = j - d. Calculate the remainder when 9 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x + 2. Suppose 18 + 38 = -4*h + 5*i, 28 = -2*h - 5*i. Let g be 16\/10*(-35)\/h. Calculate d(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0.3, -1, -13, 2\/3 in ascending order.\nAnswer: -13, -1, 0.3, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -12348*q + 135852. Let p be u(11). Factor -45 - 3\/4*d**2 + p*d.\nAnswer: -3*(d - 30)*(d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 + 3. Let j be 4 - 2 - (0 - u). Let b(a) = -5*a - 3. Let f(x) = 26*x + 16. Let k(m) = -16*b(m) - 3*f(m). Calculate k(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-9)\/(-12)*(-1)\/((-6)\/144). Solve -28*w + a*w - 50 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/2826 and 74\/5181?\nAnswer: 31086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -953.968 to the nearest ten.\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (0\/(-3))\/(-7)*(-1)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1))**(-2\/9)\/(r**(-7)\/r**(-2\/21)) assuming r is positive.\nAnswer: r**(449\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1601347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**2 - 3*c - 3. Let x(h) = -3*h + 23. Let i(n) = -n + 8. Let f(l) = 17*i(l) - 6*x(l). Let g be f(7). What is the units digit of b(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.5 - 0. Let i = -58810 - -58814. Suppose -5*y - 7 = 3. Sort i, y, n, -2\/7 in decreasing order.\nAnswer: i, n, -2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 148296013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 28179 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 23369708 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -333825\nAnswer: 2\/333825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 64040.66523 - 64041. Let y = -149 - -148.667. Let k = q - y. What is k rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1202b (base 13) to base 16.\nAnswer: 80e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 69 + -69. Suppose r = -3*k - 3*t - 138, -3*k + 4*t - 75 = 42. Sort -2, 1, k, -3.\nAnswer: k, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*l**2 + 0*l**2 - 3*l**2)*(-2 - 1 + 5) + 16*l**2 - l**2 - 4*l**2.\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 3157, 6182, 9209, 12238?\n\"Answer: s**2 + 3022*s + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 24*j**3 + 0 + 400\/9*j**2 + 2\/9*j**5 + 44\/9*j**4 + 256\/9*j.\nAnswer: 2*j*(j + 2)**3*(j + 16)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/(f*f**(-19))*f*f)*f\/(f*f*f**(-21)))**(-2\/7) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 0*a = 0. Let w(l) = -2*l + 1 - 4*l + 5*l + a. Let x(r) = -3*r**2 - 7*r + 11. Let t(j) = 14*w(j) - 2*x(j). What is the derivative of t(n) wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**2 + o + 3. Let c be l(-3). Let w(n) = -3*n - 2. Let d(a) = 7773 - 3893 - 3884 - 7*a. Give c*w(k) - 4*d(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 2, i: 1, u: 1, l: 2}. What is prob of sequence ilul?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -290 divided by -29\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 4*i - 53 = 0, 5*i + 91 = 621*s - 618*s. Solve -s*t - 187 + 68 = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28591 is divided by 349?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*r**3 - 7*r + 10*r - 1436*r**2 + 218*r**4 + 1438*r**2 - 2 in the form g + y*r + d*r**2 + w*r**3 + o*r**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 3*v + 0*v**2 - 2*v**2 + 30*v**3 - 2*v + 17*v**3. Is q(1) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = -3*z + 5*w, 120*z - 117*z = -3*w for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/(-2)*7\/(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -363*r - 140*r + 127*r.\nAnswer: -376*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3267 = 2*j + 2*l - 3285, 0 = 5*j + 2*l - 30 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 44709\/(-8) - (1 - (-60)\/(-96)). Round t to the nearest one hundred.\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 526*c = 540*c - 70. Suppose -c*f + 4*y = -f - 56, -y + 2 = 0. Calculate the highest common factor of f and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -2*b**3 + 7*b**2 - b + 4. Calculate h(5).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes after 6:08 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**2 - 51373*d - 17374224.\nAnswer: (d - 51709)*(d + 336)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10501380 is divided by 756?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 4*r + 838. What is the remainder when o(0) is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-69 + 110 - 62)*(2 - 3 + 4)*(4 - 3 + 0)*(2*p + 3*p + 0*p) in the form u*p + c and give u.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11 + 25. Let z be b\/4 - (-9)\/6. Solve 0*i + 2*i = -2*s + 16, z*i - 36 = -4*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 2*w + 13. Let v be q(-9). Let o be 3\/v + 6\/10. What are the prime factors of 3 - (o - -2) - -20?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -2*f**2 - 10*f + 25. Let b be j(-6). Factor 43*r - b*r + 5*r**2 + 2*r**2 + 2*r**2 + 9.\nAnswer: 3*(r + 3)*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 607.4341 years?\nAnswer: 60.74341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the third derivative of -301*r**2 + 0*r**4 + 0*r - 1\/10*r**5 + 0*r**3 + 0. Let c(w) = -53*w. What is c(b(s))?\nAnswer: 318*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*q + 3*c - 21, -2676*c + 2662*c - 38 = -3*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u. Let f = 45 + -43. Let c(t) = 0*t**2 - t**f - t**2 + 3*t**2. Give c(g(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -56, -0.2, -3, -0.3 in descending order.\nAnswer: -0.2, -0.3, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 7*i**2. Let b(z) be the third derivative of -z**5\/30 - 4*z**2. What is b(g(y))?\nAnswer: -98*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*(sqrt(190)*-2 + sqrt(190)))\/(sqrt(180) + 2*sqrt(180)))\/((sqrt(22) - -2*sqrt(22)*-6)\/((-1*sqrt(44))\/sqrt(4))).\nAnswer: sqrt(19)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 12) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 361 minutes after 11:36 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 320 and 295.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 44\/689 and -75\/832.\nAnswer: 44096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5812 - -101. List the prime factors of v.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y + 3, -3*i + 5*i - 2*y = -2. Let f(z) be the first derivative of 1\/2*z**i - 4*z + 2\/3*z**3 + 1. Calculate f(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -78, -73, -54, -15, 50, 147, 282?\nAnswer: 461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s = 5*p - 1 + 5, -3*s = 6*p + 18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -21e8c (base 15) to base 3\nAnswer: -12111000120","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 7*h = 88. Let z be h\/(-18) - -1 - 22\/(-99). Suppose z = -7*l + 4*l - 9, 5*l - 459 = -3*p. What are the prime factors of p?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*o + 3*o = -200 - 110 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -826\/3 - -253. Let x = 23 + o. Factor 0*n + 0 + x*n**4 + 8\/3*n**2 - 8\/3*n**3.\nAnswer: 2*n**2*(n - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 4*b + 12. Let i(p) = -9*p - 19. Let x(q) = -3*i(q) - 5*r(q). Calculate x(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**3 - 3*o**2 - 3*o - 2. Suppose -u - 2*u = 66. Let n = -24 - u. Calculate g(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 2*c = -38, 4*c = -5*f + 2*c + 45. Let m be (-3)\/7 + 122\/f. Let p = 21 - m. Calculate the highest common divisor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -977\/3 + 323. Is -4 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 2*v = 0. Let x be 1*(v\/(-1))\/(-2). What is the closest to 1\/3 in 2, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -27131, -54480, -81829?\nAnswer: -109178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/138656 and -13\/1082368?\nAnswer: 669985792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s*s**5))\/s*s*s**(4\/27)\/s)**(-3) assuming s is positive.\nAnswer: s**(158\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4416.949 - 4419. Let f = n + 0.051. Let r = -14 - -113\/8. Put f, r, -0.4, -2\/7 in decreasing order.\nAnswer: r, -2\/7, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ru when two letters picked without replacement from {v: 8, r: 4, u: 2, l: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 4*o = 28, 3*c - o = 15 + 4. Suppose -4*h + c = 4*w, 5*h - 3*w - w = 1. Are 5\/36 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 33 = 303. What is the remainder when p is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4.5*43003\nAnswer: -193513.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -8*h**3 + 9713*h**2 + 18242*h - 2432 = 0. Calculate h.\nAnswer: -2, 1\/8, 1216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 68 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j = -9*o - 1021 + 801, -4*j - 2*o - 62 + 10 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 865*z**2 + 27*z. Let f(v) = -173*v**2 - 5*v. Determine -2*b(k) - 11*f(k).\nAnswer: 173*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 + -5 - 1)\/(122\/(-122)). Let d(t) = -t**3 + 3*t**2 + 10*t + 5. Determine d(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the first derivative of -57\/5*a**5 + 87\/4*a**4 + 247 + 15876*a - 1\/2*a**6 - 6804*a**2 + 1035*a**3. Factor d(y).\nAnswer: -3*(y - 3)**3*(y + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6821\/4 or -1706?\nAnswer: -6821\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes after 12:43 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 300425 divided by -61\nAnswer: -4925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 19931, -126, 0.1 in decreasing order.\nAnswer: 19931, 4, 0.1, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1634006, 3268017, 4902028, 6536039?\n\"Answer: 1634011*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**3 - 4*q**2 - 21*q + 353. Does 3 divide r(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 120\/50 - (-4)\/(-10). Suppose f*g + 1 = 2*v - 5, 0 = -g - 5*v + 21. Sort 6, g, -6 in descending order.\nAnswer: 6, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-11)\/((12\/(-3))\/(-4)). Let c = -10 - g. Suppose 0 = 4*m - 5*m + c. Calculate the least common multiple of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/(r*r**9*r))*r*r)\/r)\/(((r\/(r**(-7)*r))\/r*r*r)\/r)*(r**3)**(-1\/24) assuming r is positive.\nAnswer: r**(39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 48 = 3*z - 3*n, z = 3*n - 21. Let u(g) be the first derivative of g**4\/4 + 3*g**3 + g**2\/2 + 9*g + 1. Let o be u(z). Solve o + 4 = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 573 and 127952619?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/3 - 51\/9. Let r = k - -10. Solve r*m + 0 = -12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -994*r + 992*r. Solve -6 = -2*y, -5*z + r*y - 54 = -42 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/14109 and 1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -86596 smaller than -86595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 46160982 to the nearest integer?\nAnswer: 6794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1\/3011666467 - 136422467642095\/60019501020843. Let p = 21\/1898 + v. Find the common denominator of (42\/27 + -2)*(-14)\/(-3) and p.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, 2\/13, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -3*g**3 - 493371*g**2 + 21714132*g = 0.\nAnswer: -164501, 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -1\/101, 2, 1\/7, 0.2?\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 - (70 + -42 + 13).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 97090000 rounded to the nearest 1000000?\nAnswer: 97000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 7, g: 3, l: 5, f: 1}. What is prob of picking 1 f and 1 p?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 479 - 418. Let z(g) = 65 - 23*g**2 - 191 + 64 + n. Calculate z(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2*(-1)\/(4\/(-6)) - 1. Let l(n) = 1 + 0*n + 3*n**2 - n + 5*n - 2*n**w. Let i be l(-3). Let g(o) = o**3 + o**2 + o + 1. Give g(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1885 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(33)\/sqrt(3)*-5)**2.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 132*p + 223*p**3 + 0*p**2 - 230*p**3 + 2*p**2 wrt p?\nAnswer: -42*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 10*a**3 + 38*a**2 - 11*a + 6. Let f(c) = 3*c**3 - 2*c**2 - c + 1. Give 4*f(w) - n(w).\nAnswer: 2*w**3 - 46*w**2 + 7*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + -2 - (-588)\/105 - (-11039)\/(-415)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 - 14 = b. Let i be -2*(-2)\/(-2) - (-156)\/77. Is b <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j**2 + 0*j**2 - 3*j**2)*(-1190*j**2 - 1247*j - 1293*j + 2532*j).\nAnswer: 1190*j**4 + 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 417974 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(1\/4))**(1\/41)*((w\/w**0)\/w)**(-2))\/((w**1*w**(-1))\/(w*w*(w\/w**(1\/3))\/w)**25) assuming w is positive.\nAnswer: w**(20503\/492)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**3 - 7*g**2 + 8*g - 10. Let k be t(6). Let l(h) = 574*h + 3. Is l(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12053 is divided by 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rvk when three letters picked without replacement from {r: 1, k: 4, v: 1, e: 1, m: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12.05 + -12.05. Let s be (-20)\/(-10)*(-6)\/44. Let i = 34 - 167\/5. What is the closest to t in s, i, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*d**2 + 5*d - 3*d - 2*d + 18*d**2.\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 531 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: What is the remainder when 1157492 is divided by 762?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 504 and 1428.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**2 + 186076*k + 13035120.\nAnswer: -2*(k - 93108)*(k + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 2*y**2 - 70*y + 580. Calculate the least common multiple of l(25) and 280.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 2*d + 4. Let h(g) = g**2 - 2*g - 4. Let a be h(-1). Let n(z) = -11*z + 2 - 10*z + 34*z - 14*z - 1. Give a*c(l) + 4*n(l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -374*p*v**5 + 884*p*v**3 + 2*p + 202439*v wrt v.\nAnswer: -7480*p*v**3 + 5304*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16715*o + 240 = -16739*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, 3, 356, -3.\nAnswer: -5, -3, 2, 3, 356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*m + 39. Let o(b) = 0*b - b**2 + 13 - 11*b + 1. What are the prime factors of o(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 31271 + 111613 - 14417*l**2 + 1526*l - 14*l + 14421*l**2.\nAnswer: 4*(l + 189)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3009 and 7.\nAnswer: 21063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/(-1 + (-26)\/(-20)). What is the remainder when 3\/(-15) - 524\/d is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccrrrhrrrlrclrrrrrr. Give prob of sequence rlc.\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in seven eighths of a second?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence voov when four letters picked without replacement from ovvdovvvoodovoov.\nAnswer: 21\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.741988 to 1 dp.\nAnswer: 7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3 - 0)*1 + -5 + 11. Suppose 2*n - 176 = y + 51, -341 = -b*n + y. Calculate the smallest common multiple of 14 and n.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**5)**(-33))**(-17))**(6\/13) assuming b is positive.\nAnswer: b**(16830\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**2 + 11*v - 1. Let x be u(11). Let l(h) = h - 1. Let r(n) = -4*n + 6*n - 4 + 2*n. Let g(o) = x*r(o) + 6*l(o). Determine g(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -216*f + 224*f - 4392 = 0. Are 550 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -131 + -54 + (-47 - -179)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 23\/358 < 10\/3629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 34032544 divided by 1456\nAnswer: 23374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 11*b - 16. Let f(q) = -11*q + 15. Let s(p) = -7*f(p) - 6*z(p). Let a be 3\/(36\/8)*12. Is s(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3854, -782, 4338, 11506, 20722?\nAnswer: 31986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 0*f + 4*f + 11 = 0, -3*d - 4*f = -19. Suppose -3*v = -d*h + 25 + 8, 19 = 3*h - v. Solve 2*l = h + 4 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 176.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 22 - 15. Let w = -2142 + 1264. Let s be (-4)\/(-18) - w\/18. Calculate the greatest common factor of s and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 + -4. Let u = 4 + -3. Let r be 12 - k - u - -1. Calculate the greatest common divisor of r and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -12177 + 14594. What are the prime factors of a?\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 1\/2  (b) 19  (c) 0  (d) 0.2  (e) 1  (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4240320411 - -4?\nAnswer: -4240320402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 739 - 972981?\nAnswer: -972242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 27601020 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -3770, 0, -5 in ascending order.\nAnswer: -3770, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -313, -627, -941, -1255?\n\"Answer: -314*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the second derivative of -v**8\/2240 + v**7\/2520 + 11*v**5\/60 + 23*v**4\/6 - 40*v. Let o(f) be the third derivative of t(f). Differentiate o(r) wrt r.\nAnswer: -9*r**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - 196?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 123, -6, -1, 4 in decreasing order.\nAnswer: 123, 4, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -119\/4876488 and -65\/1424.\nAnswer: 9752976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*d**2 + 2 - 7*d + 2*d**2 + 1183*d**3 - 1179*d**3 to s*d**3 + r + w*d + t*d**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -r**4\/5 - 11*r**3\/5 + 8*r**2 - 28*r\/5 = 0.\nAnswer: -14, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68400381651*a**2 + 68400381651*a**2 - 231*a**3.\nAnswer: -231*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 14560290347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 78 * -0.05167389.\nAnswer: -4.03056342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**2 + h + 1. Let u(x) = 0*x**3 - 3*x + x**3 + 1 + 2*x. Let v(m) = -m + 7. Let i be v(10). Let o(s) = i*p(s) - u(s). Determine o(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 8\/5, 2, 8\/77, 19 in increasing order.\nAnswer: 8\/77, 8\/5, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**2 + 7*j + 11. Let p be c(8). What is the derivative of 2*w**2 + p - 1 - w**2 + 2 wrt w?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/9 - (-366)\/54. Let y = x - -3. Suppose -y*c - 69 = -13*c. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22081?\nAnswer: 71, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from adaaaaaaaaaaadaddaad. What is prob of sequence adad?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 337 at most as big as 37415\/111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.14 + -0.36. Let o = -5.5 + v. Let b = 0.09 - 1.09. Sort b, 0, o in ascending order.\nAnswer: o, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11.7999988 - 11.8. Round i to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*q + 14*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13877701 is divided by 5010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1139 + 6404. Calculate the highest common factor of c and 195.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -5*r**2 - 2*r. Let p(o) = 6*o**2 + 3*o + 1. Let s(y) = -3*k(y) - 2*p(y). List the prime factors of s(2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -4*f - 24, -2*f = -0*h + 2*h - 24. Solve 28 - h = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 206600 to the nearest one thousand.\nAnswer: 207000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*t - 3828 = -82*t - 98*t for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**3\/2 - 553*n**2\/2 + 2*n + 1106.\nAnswer: -(n - 2)*(n + 2)*(n + 553)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -378707*g*o + 1682*g - 117 wrt o?\nAnswer: -378707*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16035765 divided by -5.\nAnswer: 3207153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*p - 8 = 28. Which is smaller: p or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.24183807 to 3 decimal places.\nAnswer: -0.242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 45*i**2\/4 + 29841*i\/2 + 9942 = 0?\nAnswer: -6628\/5, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -339*x + 403. Is a(-32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c + 5*r - 216 = 4*c, 192 = 3*c - 3*r. Suppose 0 = 4*z - c - 133. Let p be z*-125*1424*1. What is p rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*a**5 - 3*a**5 + 2*a**5 + (3*a + 3*a - 5*a)*(4*a**4 + 4*a**4 - 6*a**4) + 6*a**5 + 0*a**5 - 5*a**5 - 292*a + 292*a + 19*a**5 + 0*a**5 + 5*a**5 - 6*a**5.\nAnswer: 22*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-45)\/11)\/(-3)*160\/(-480)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-39)\/(-1))\/(-1))\/(-33*(-4)\/(-44))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.0669308 to three decimal places.\nAnswer: 1.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 258 is divided by 31.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.7 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 - 15. Let s be l\/15 + (-3)\/5. Let n(r) = -3*r**2 + 14*r + 15. Let o be n(-1). Which is bigger: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - 7 - (-129 + 111)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -2\/3, -2582, 2 in decreasing order.\nAnswer: 2, 0.5, -2\/3, -2582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*n**3 - 6*n**3 - n**3)*(-2 + 2 - 1)*(1 + 1 - 1)*(0 + 0 - n)*(15 - 5 - 4) as w*n**3 + v*n**2 + y*n + u + l*n**4 and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -8, -1\/6, 31\/4, 17, 2\/7, 0.5?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -56 + 28. Let t = n + 103. What is the highest common factor of t and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 4, -8*c - 5 = -3*d - 9*c. Let l(m) = -m + 1. Let x(p) = -2*p**2 - 11*p + 4. Give d*l(k) - x(k).\nAnswer: 2*k**2 + 9*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45 is divided by (-261)\/(-12) + (-1)\/(-4) - -1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1395.5993 and -1381.\nAnswer: -2776.5993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**2. Let a(m) = -116*m + 282. Determine a(g(r)).\nAnswer: -116*r**2 + 282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 447418150 to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/((t**(-3)\/t)\/t)*t)**(-32\/7)*(t*t\/t**(-3\/7)*t)\/t**3 assuming t is positive.\nAnswer: t**(-221\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4040 + -42?\nAnswer: 3665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and -16311.7?\nAnswer: 3262.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 + 7. Let d(y) = -y + 20. Determine d(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1 - -2. Let r = 24 + -24.2. What is the nearest to 0 in 5, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4.3  (b) -0.9  (c) 4  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 13064602.32s in weeks?\nAnswer: 21.601525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 169, 163, 147, 115, 61, -21, -137?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 926 = v - 9*q, 5*q + 1837 = 2*v. Suppose -13*p + 7*p + v = 0. Calculate the remainder when p is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 34, 4, -1, 3\/7, 6, -5.6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -7*l**2 - l. Let h be x(-1). Let c = h + 0. Let s(d) = -2*d - 8. What are the prime factors of s(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4192 is divided by 420.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1093, 12, -2, 2, -16, -5.\nAnswer: -1093, -16, -5, -2, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 137*t**2 - t**3 - t**3 - 96*t**2 + 219*t**2.\nAnswer: -2*t**3 + 260*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 + (14 - -10) - 20.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -53.67255814 rounded to the nearest integer?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10.6 + 10.59999732. Round c to seven dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 56 by -2386.\nAnswer: -28\/1193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19134 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the third derivative of f**7\/2940 + f**6\/1260 + f**3\/2 + 2*f**2. Let n(k) be the first derivative of i(k). Let n(j) = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.3, -2, 0.1, 3\/5, 580?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 61245061 divided by -6?\nAnswer: -61245061\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*n - 21*n - 3*n)*(-1 + 6*n - 7*n - 6*n).\nAnswer: 133*n**2 + 19*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -2*k + 1. Let n(h) = 3*h - 2. Suppose -3*t - 2*t = 15. Calculate t*n(i) - 4*u(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 138*m = 307*m + 296*m + 10230 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-6096)\/(-96)*(0 + -2))\/490 and -38\/49.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.76978 to 2 dps.\nAnswer: -0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/432 and 95\/8?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5819?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 28\/39 - 2\/39. Let w be (-2 - 0\/5)\/(-9). Let i = -86 + 515\/6. Which is the third biggest value?  (a) j  (b) w  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7653.77 to the nearest one hundred.\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -484647.9 rounded to the nearest ten thousand?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**2 - b + 2. Let i be g(-2). Let r be 2\/((i\/7)\/(-4)). Let z be (-2)\/r + (-57)\/(-21) + 0. Solve 2*y = z*y + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1656\/(-2160) + 7\/6.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 - (-2 - (4 + -3)). Suppose o - 2*o = 1. Sort -4, o, x in decreasing order.\nAnswer: x, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -12*b**3 - b**2 + 4*b + 3. Let p be g(-4). Let k(n) = -748*n**2 - p*n**2 + 1491*n**2. Let r(c) = 3*c. Determine k(r(m)).\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.03 + 0.37. Let q(h) = -138*h + 47*h + 131 - 24*h**2 + 61*h + h**3. Let a be q(25). What is the smallest value in 2\/7, -1, a, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-9 - -11)\/((-1)\/1). Does 10 divide (3 - l)\/(5\/40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b and 1 i when three letters picked without replacement from {b: 11, i: 5}.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 3*a = 20, -4*p - p + 3*a - 2 = 0. Let i(j) = -2*j + 0*j + p*j + j. Let k(q) = -4*q + 3*q + 2*q. Calculate i(k(u)).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**3 - 6*i**2 + 7*i - 5. Suppose -3*j + 13 + 2 = 0. Let f be c(j). Suppose -f*m = -5 - 15. What is the lowest common multiple of m and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41742821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = -0*s + 20. Let f be -1*4\/s*2. Let h be (-3 - f) + (2 - -5). Solve x = -x - h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 233446568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 9*c - 15. Let z(u) = 10*u**3 - 3*u**2 + 7*u - 2. What is the remainder when z(c) is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 96\/64*10\/3. Let v(h) be the third derivative of -1\/630*h**7 + 0*h**4 + 1\/90*h**5 - 1\/18*h**3 + 0 + 0*h**6 - f*h**2 + 0*h. Factor v(d).\nAnswer: -(d - 1)**2*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 times -0.0487\nAnswer: -0.2435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3830*p**2 - 4161*p**2 + 339*p**2.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 492470 is divided by 35.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -8 + (31 - (-16 + 29))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 6*m**2 + m - 16. Let u(k) = -7*k**2 + 17. Let o(a) = 6*b(a) + 5*u(a). Let s be o(-9). Let x = -1 + s. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2155 divided by 5348\nAnswer: 2155\/5348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from fhwhwffwshhwsshs.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 11010110001110 (base 2) in base 4?\nAnswer: 3112032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the third derivative of u**6\/120 - u**5\/30 + u**4\/12 - u**3\/3 + 14*u**2. Let d(s) = s**3 - 5*s**2 + 5*s - 5. Give 2*d(q) - 5*i(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 3*j = 6. Suppose 3*v - 9 = 0, -j*f = f + 5*v - 307. Let o = f + 54. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -24*n + 376. Determine g(18).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 1:23 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-51)\/(-4) - 24\/32. Suppose 29 = 3*a - 25. Let v be (-8)\/(-3)*a\/4. What is the greatest common factor of v and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 5 = 0, 5*n = 2*l + 14 + 13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/91 and (-3)\/(-104)*6848\/(-96).\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6727 - 6729.9348. Round v to two dps.\nAnswer: -2.93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*-7831356\nAnswer: -15662712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 102809, 205616, 308423, 411230, 514037?\nAnswer: 616844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 164444042 to the power of 1\/2, to the nearest integer?\nAnswer: 12824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -29 not equal to -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 5*p = -151. Let x = 155 + p. Let w be (-1 - 0) + 0 + 6. Put -5, x, w in decreasing order.\nAnswer: w, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 2 e when three letters picked without replacement from tttteetett.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, y: 6, g: 4}. What is prob of sequence grg?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 22000389?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3432\/(-2080)*-10*(-3)\/(-66).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p = -3*h - 13 - 6, -4*p + 24 = -4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6540562921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, -29, 3, 117, 11 in ascending order.\nAnswer: -29, -2, 2, 3, 11, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j*j**(1\/6)*j*j**(-6)*(j**(1\/3)*j)**(1\/40))**24 assuming j is positive.\nAnswer: j**(-336\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are -6198798 and -6198869 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minus 4584.33560009?\nAnswer: -4557.33560009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 28 = -5*w. Let u = w + -25. Let r = -123\/11 - u. Which is the third smallest value?  (a) 0  (b) r  (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*a + 4*h + 4 + 12 + 16, -553*a = 3*h - 6630 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (-6 + 1) - (4 + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 48 and 10434144.\nAnswer: 10434144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuku when four letters picked without replacement from jkhupjkkjujhjxkjhuu?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -68901, -137804, -206707?\nAnswer: -275610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -256 - -259. Solve -x*a = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (((sqrt(343)*1 + sqrt(343) - sqrt(343)) + -4 + (sqrt(343) - (sqrt(343) + -1)**2) + 4)*5 + 0)*3.\nAnswer: -5160 + 420*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -915d (base 14) to base 6\nAnswer: -311343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 96 + -96.2. Let r be (2\/44)\/((-1)\/(-4)). Let v = -5\/17 - -32\/51. What is the closest to u in v, r, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2321130 - -21310?\nAnswer: -2233220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4\/(-1))\/(16\/(-56)). Let l(h) = -h**2 + 14*h - 10. Let o be l(r). Let p = o - -11. Solve -p = 5*u - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjhjjojwwhjj. Give prob of sequence oj.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjuujjjjjjjj. Give prob of sequence jujj.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/12898 and -49\/264.\nAnswer: 1702536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -87 - -124. Let g be (-285)\/10*2\/(-3). Let u = g - 6. Calculate the remainder when y is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**2. Let k be 4 + (1 - 1) + -1. Suppose i + k*i = 8. Let b(l) = -6*l**i - 4*l**2 + 11*l**2. Give a(b(s)).\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -7, 839, -8 in descending order.\nAnswer: 839, 3, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -272.18 - -732.72. Let a = -550 + t. Let v = -90 - a. What is v rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a week in seconds?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -170645 (base 8) to base 7\nAnswer: -345232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 25 - 23. Suppose 3*z - 160 = -b, p + 262 = 5*z + b. Suppose 0 = -5*l + 3*l + z. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**2. Let f(i) = -53*i + 7*i - 2*i. Determine h(f(b)).\nAnswer: -2304*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:21 AM and 11:24 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 114 = 2*d - 12*s, 5*s = 4*d - 71218 + 71161 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -154575, -309153, -463731?\n\"Answer: -154578*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5561 + 5554. Let l(x) = -5*x + 9. Let s(k) = 2*k - 5. What is r*s(w) - 3*l(w)?\nAnswer: w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.7 - -2.6. Let g = x - -0.1. Let f = g + 1.1. What is the third smallest value in 3\/5, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 equal to -1\/395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 3 - 8 - 2*i + 6. What is the remainder when 95 is divided by y(-12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104*q - 684826 = 750270. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*k - s + 89 = 31*k, 24 = -3*k + s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -11, 0.05, 74.\nAnswer: -11, -4, 0.05, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 200807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 136*s**3 - s**2 - 5*s + 6. Let w(o) = 91*o**3 - o**2 - 3*o + 4. Let d(f) = 5*t(f) - 7*w(f). What is the units digit of d(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13250 and 107878850.\nAnswer: 2650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 37916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -140*o + 48*o = 368 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2\/7 + 4*b\/7 + 30\/7.\nAnswer: -2*(b - 5)*(b + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6151\/2147 - -294\/113. Put q, -1, -1.1 in ascending order.\nAnswer: -1.1, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0\/1*3\/9. Suppose 2*r - 2 = 2*l + 12, 5*r - 33 = 4*l. Suppose -r*g + 1 = -4*g. Put d, g, 3 in descending order.\nAnswer: 3, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iif when three letters picked without replacement from flfzzzzfllffzflfzizf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 242091190 rounded to the nearest one hundred thousand?\nAnswer: 242100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.37, -2, -0.5 in ascending order.\nAnswer: -2, -0.5, 1.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = -3*z + 21, 14 - 2 = 2*c + 2*z. Suppose -2*v = -c*v. Sort v, -5, 1 in decreasing order.\nAnswer: 1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 101\/609 - 58181\/97440. Let n = -1\/32 - t. Which is the second smallest value?  (a) -0.2  (b) n  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 14*z**2 + 4*z + 2. Let c = 8 - 10. Let h = -82 + 95. Calculate the remainder when k(c) is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 38 * -0.2\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*u**5 - 2*u**5 - 3*u**5 + 10*u**5 + 0*u**5 + 0*u**5 + u**5 - 2*u + 2*u + (-u**2 - 3*u**2 + 2*u**2)*(2*u**3 - 5*u**3 + 2*u**3) + u**5 + 0*u + 0*u.\nAnswer: 11*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -3  (b) -4\/7  (c) -260\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 - 3. Let g = 6.0000104 + q. Round g to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**3 - 7*q**2 + 10*q + 11. Let c = -31 - -24. Let l = c + 23. Suppose 4*x + 16 = -l. Calculate g(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**1\/((g\/((g*g\/(g*g*g*g**(2\/9)))\/g))\/g))\/(g*g*g**(-2\/3)*g*g*g*g)**(2\/89) assuming g is positive.\nAnswer: g**(-1075\/801)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108 = 3*w - 6. Let k = -1133 + 1171. What is the greatest common divisor of k and w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) 17  (b) 0  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*f**3*q*x - 142*f**3*s - 6*f**2 - 2*f*q*s + 1013717*q*s*x - 10*q*s - s wrt x?\nAnswer: 2*f**3*q + 1013717*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.3 or -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0954615 rounded to 3 decimal places?\nAnswer: -0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 24680, 49409, 74138, 98867?\nAnswer: 123596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 44*c**4 + 2*c**5 + 2*c**4 - 3*c**5 + (0*c**2 + 2*c**2 + 0*c**2)*(0*c**3 - c**3 + 2*c**3).\nAnswer: c**5 + 46*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -133\/67336434 and 19\/9?\nAnswer: 67336434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 804, 1605, 2406, 3207, 4008?\nAnswer: 4809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 151 (base 6) to base 13.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -84 - -136. Let j = 64 - h. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (64 - -46)*10\/4. What is the highest common divisor of 25 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -1 - 2*o + 6*o**2 - 14*o**2 + 7*o**2 + 0*o**2. Let k be ((-2)\/(-4) + 2)*6. Suppose -5*c - 5*p = k, -c - 2*p - 8 = 3*c. Give t(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -7 - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*z**5 - 3*z**3 + 26*z**2.\nAnswer: 180*z**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(13) - ((sqrt(13) - (sqrt(1300) + 1 - sqrt(13))) + sqrt(13)) - -1*(sqrt(117))**2.\nAnswer: 8*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*m - 44*m + 364. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -22.851 + 0.741. Let c = d - -22.6. Round c to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7581746?\nAnswer: 2, 1553, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -51293\/10 + 5140. Let n = -2\/249 - 2152\/747. Let w = -847\/90 + n. What is the common denominator of f and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 16) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t + 4*c - 28 = 6, 4*t = 3*c - 7. Solve -t*q = 44 - 40 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f*f*f*f**(-2)*f*f**(-1\/2))\/((f**3*f)\/(f**(-4)*f))*(f**(-1\/4)*f)**19*f\/(f\/(((f*f**(-1))\/f)\/f*f*f))*f*f\/f**(6\/11) assuming f is positive.\nAnswer: f**(493\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 1112 = -8*v, -31 = 3*v - 5*g - 396. What is the highest common factor of v and 365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.1 + 1.1. Let w = -53 - -51.44. Let h = w - -1.26. What is the third biggest value in c, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 391, 638, 885, 1132, 1379, 1626?\n\"Answer: 247*n + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -4*n**2 - n + 1. Let a be ((-18)\/(-27))\/((-4)\/(-6)). Calculate w(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 41*d**4 - 9*d**4 + 3*d - 9*d + 5*d - 10*d**3 in the form w*d + u*d**3 + r*d**4 + q + n*d**2 and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -23\/9930 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-63)\/(-14) + (-2)\/(-4). Suppose 36 = c + 2*o, -5*c + d*o + 120 = 3*o. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 12 = 4*r, -2*r - 16 = 50073*y - 50070*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10646057?\nAnswer: 53, 200869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 737392 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20025060 and 849548.\nAnswer: 140175420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 7*s - 13. Let v(b) = 14*b - 26. Let n(l) = -2*v(l) + 5*z(l). What is the tens digit of n(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 339926?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 31*d. Let l(i) = 4*i**2. Calculate f(l(b)).\nAnswer: 124*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-18)*18\/(-6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63*v + 619 = 52. Let x(y) be the second derivative of y**5\/20 + 3*y**4\/4 - 4*y**3\/3 + 6*y**2 + y. Is 11 a factor of x(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 649\/118 + (-4185)\/750.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/((1\/(-4))\/(-24 + 23)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -19.3193175 and 0.57.\nAnswer: -18.7493175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19 - 4*b - 19)*(-1 - 2 + 5) + 5*b + 9*b + 9*b + 10*b.\nAnswer: 25*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**3 - 48*n**2 - 78*n + 24. What is the tens digit of z(50)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*l - 4*l - l)*(1 + 0 + 2) + 4*l - 2*l - l + l + l - 3*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 447 - 245. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -43 + 0?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 492257 is divided by 1207?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1251.99327 - -1252. Let w = -222.30673 + n. What is w rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lq when two letters picked without replacement from {q: 1, w: 1, u: 1, l: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1039312 to the nearest integer?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9 and 1017?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**3 - k**2 + 1. Suppose -j - 10 = -3*j. Suppose -3*o = 4*c, -j*o + 3*o = -4*c. Let x be 2 + (c - -3)*-1. Give p(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 207634355.69999892 - 207634360. Let p = f + 4.3. What is p rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(-1\/7)*r)\/r*r*r**4*(r**1)**12)**(-5))**(-2\/51) assuming r is positive.\nAnswer: r**(1180\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1867 is divided by 41.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (260 - 260 - 42*q)*(-4 + 2 + 1 + (0 + 4 - 5)*(0 - 3 - 1)).\nAnswer: -126*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 6*q. Let m(k) = -k**2 - 77*k. Determine v(m(h)).\nAnswer: -6*h**2 - 462*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 309\/12 - 18\/24 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 + 33 = 6*p. Let c be ((-155)\/35 + 4)\/p. Suppose 0 = -2*q - 2*q - 20. What is the second biggest value in 0.1, c, q, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - f - 6 = 0. Suppose d + 0*z = z + 1, 4*z + 2 = 3*d. Let x be ((-4)\/(-2) - 0)*d. Is f less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 31 - 14. Let d(p) = -p**3 + 2*p. Let k be d(2). Let l(h) = -h**3 - 4*h**2 - 2*h - 2. What is the remainder when q is divided by l(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -765 + 21. Let r be x\/(-144)*3*2. What is the greatest common factor of r and 992?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 218983 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times -1550076?\nAnswer: 1550076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 117 - 128. What are the prime factors of (n - 18395\/(-39))*(2 + 1)?\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 15.5 - -352739773898.\nAnswer: 352739773913.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1217*y**2 + 1231*y**2 - 2445*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y**2 - 2*y**2 + 4*y**2)*(-3*y + 3*y - y) + 0*y**3 + 3*y**3 - y**3 - 35*y**3 + 5*y**3 - 31*y**3.\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 1487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -17*z**2 - 23*z - 27. Let q(r) = -8*r**2 - 12*r - 13. Let u(f) = 6*g(f) - 13*q(f). Let t be u(-8). Does 15 divide (45*1)\/(t\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((0 + sqrt(5) + sqrt(5))*-6)**2 + -2 + (-2*sqrt(900) + sqrt(25))\/sqrt(5) + 0.\nAnswer: -3602 - 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x + 4*x - 5*x)*(3*x - 3*x - x**2 - 6 - 2*x**2 + 6 + (x + 2*x - x)*(2*x + x - 2*x) - 4*x**2 + 4*x**2 + x**2 - 2*x**2 + 0*x**2 + 10*x**2).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - 0. Let o = 0.011 + -0.411. Let y(r) = -r**3 - 5*r**2 - 2*r - 15. Let f be y(-5). Which is the closest to -1?  (a) o  (b) g  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 - -26. Suppose 5*q + 2*q - 42 = 0. Suppose -q*x + 288 = 54. Calculate the remainder when x is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6.32 - -5.2.\nAnswer: -1.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k**2 + 2*k**4 - 3*k**2)*(-1 + 1 + 2*k - 2*k + k + 2*k + (-2 + 4 - 1)*(-1 + k + 1) + 2*k + 4 - 4 - k + 3 - 3 + k + 63*k + 183*k).\nAnswer: 504*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b = -0*b - 52376. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*m - 4*m + 2*m - 8*m to d + y*m and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 6623159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**3 + 19*b**2 + 114*b + 10. Let q be n(-5). Solve -i + 11*i + q = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 - 23 = -16*d + 36 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1395*n - 1395*n + 2111*n**2.\nAnswer: 2111*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/26*66352\/352.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the third derivative of -a**5\/15 + a**4\/2 + a**3\/3 - 19*a**2. Let c be b(-8). What is the units digit of 1\/4 - c\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9262)\/5894 + 384\/(-112)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -4*v + 198, 3*n - 3*v - 32 = 238. What is the remainder when n is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -687173, -686861, -686341, -685613, -684677, -683533?\n\"Answer: 104*s**2 - 687277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 7, 3, -3, -377.\nAnswer: -377, -3, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.08476 + 0.01524. Let t be 1\/(-2)*2*-1. Which is the nearest to t?  (a) 4\/5  (b) 2\/5  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 + -b3905d?\nAnswer: -b39058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = 3*i + 297. Let f be ((-1)\/(-3))\/((-3)\/i). Suppose -5*p + f = 1. Is p less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(396) - ((-1 + sqrt(396))**2 + sqrt(396)))*-3 + -1.\nAnswer: -36*sqrt(11) + 1190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -461 - -205. Let a = -157 - m. What is the highest common factor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 14923\/20 + -746. What is the common denominator of 3\/15 + (-674)\/(-80) and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 3*o + 24. Suppose 535*h - 100 = 545*h. Determine q(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of j**3*l**2*v + 2*j**3*l**2 - 42*j**3 + j*l**2 - 33*l**2*v + 4*l**2 - 4*l*v wrt j.\nAnswer: 6*j*l**2*v + 12*j*l**2 - 252*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from gyggwxyglxywxx.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 20, 1\/13, 2, 56?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the third derivative of t**4\/12 + 8*t**2. Let b(n) = 5 - 5 + 12*n. Determine x(b(k)).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((12\/(-9))\/(-2))\/((-8)\/(-48))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 8*b**2 - 31*b - 1. Determine g(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 2 + 2)*(-5*t - 5 + 5)*(-2*t**4 - 1 + t**4 + 4*t**4).\nAnswer: 30*t**5 - 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 324497?\nAnswer: 324497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-98)\/(-21))\/((-3)\/(-81)). Let k = g + -126. Put k, 2, 1, 5 in descending order.\nAnswer: 5, 2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38214428 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15231 is divided by 1717?\nAnswer: 1495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 - 5*w - 3. Let k = 100 - 103. Calculate t(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 168932 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, -3, -0.29, 1, -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 440 = -277*z + 299*z. Let f = 31 - 16. Calculate the highest common factor of f and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -4*v + 4*c, -2*v - 2*c + 2 = -10. Which is smaller: v or 9\/506?\nAnswer: 9\/506","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 54 - (18\/7 - (-20)\/(-35)). Let m = p - 96. Let n be (1*5)\/((-11)\/m). Solve v + a = 4*v - n, 0 = 2*a + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -3*r**2 - 59*r + 3. Let h(x) = -x**2 - 20*x + 1. Let u be 249879\/14833 + 0 + 2\/13. Determine u*h(q) - 6*g(q).\nAnswer: q**2 + 14*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r**(6\/11)*r))**(-9)\/((r\/(r**(-3)\/r)*r)\/(r\/r**(-10)*r)) assuming r is positive.\nAnswer: r**(120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 2*y**3 - 46*y**2 + 435*y + 27. Does 9 divide g(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (-7 + 12 - 4 - 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6\/(-1)*(-2 - (-12)\/9). Suppose n*z = 2*z + 98. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 218015671?\nAnswer: 19, 101, 103, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -49\/81 - 2215\/891. Calculate the common denominator of 35\/8 and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the first derivative of -14*s**2 + 54*s + 1\/3*s**3 - 39. Let g be h(26). Let j(c) = 4*c**2 - 2*c - 1. What is j(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes after 10:15 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 310 divide 46490491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**2 + 8*y + 7. What is o(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-7 - (-90)\/36) + 715\/150\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 2 + n + 3*n**2 + 4*n**2 + 3*n**2 - 11*n**2. What is l(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**3 - 4*o - 1. Let l(a) = -9*a + 3. Let z(j) = 20*j - 7. Let u(q) = -9*l(q) - 4*z(q). Give -i(b) - 4*u(b).\nAnswer: b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1270?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 203, 283, 431, 647?\nAnswer: 931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 4, 3, -132, -9, 10, 1 in decreasing order.\nAnswer: 10, 4, 3, 1, -5, -9, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/5550 and 101\/370.\nAnswer: 5550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21*w**2 - 18*w**2 - 2*w**2 - 1 - 12*w**4 to m*w + q*w**4 + t + r*w**3 + h*w**2 and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dfdqfqddqqifa. Give prob of sequence qa.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (17*r**2 + 6*r**2 - 162599*r**3 + 162601*r**3)*(2 + 1 - 1)*(4 - 1 - 1) in the form g*r + v*r**3 + y + n*r**2 and give n.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1468 and 172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -6931194 times -2\nAnswer: 13862388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 1231*p**3 - 3*p**2 + 41*p + 7. Let t(k) = -821*k**3 + 2*k**2 - 29*k - 5. Give 5*c(y) + 7*t(y).\nAnswer: 408*y**3 - y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/10*x**2 - 1\/10*x**4 + 0*x + 0 - 2\/5*x**3.\nAnswer: -x**2*(x + 1)*(x + 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 26, 21, 16, 11, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 198*n*x + 944*n + 2*x**2 + 645*x - 131 wrt x?\nAnswer: 198*n + 4*x + 645","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45694555.\nAnswer: 5, 17, 537583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:54 PM and 5:39 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2503, 2504, 2505, 2506?\n\"Answer: g + 2502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 2*z = -2*z + 34, -5*c + 5*z = -115. Suppose 141 = 5*h + 41. Calculate the lowest common multiple of c and h.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - y + 52 = 0, l + 5*y - 3 - 5 = 0. Let j be l\/((-14)\/12 - 7\/21). Solve m - 3*r + j = 0, -r - 3*r = 4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7634.3?  (a) 27.5  (b) -5  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 84, 86, 90, 96, 104, 114, 126?\n\"Answer: f**2 - f + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5556131552.0000159 + -5556131297. Let v = p + -255. What is v rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.281 to 1 dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -4*h**5\/3 - 44*h**4\/3 + 520*h**3\/3 - 1576*h**2\/3 + 596*h - 228 = 0?\nAnswer: -19, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 1 = 6*t - 2*t, -a - t = 0. Put 3\/5, a, -0.9, 0.2 in ascending order.\nAnswer: a, -0.9, 0.2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5401 or 1960412\/363?\nAnswer: 1960412\/363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000476738976 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/10500 and 131\/238800.\nAnswer: 8358000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*f + 22*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14044?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**3 + p. Let l(v) = v + 4. Let f be l(0). Suppose -f*o - 8 = -4. Let m(b) = 2*b**3 + 4*b. Calculate o*m(g) + 3*z(g).\nAnswer: g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 24 + -26. Let w = 1 - -2. Let x(s) = 4 - 3 - w. Let f(d) = d + 6. Determine a*f(g) - 5*x(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -4, 20, 56, 104, 164, 236?\n\"Answer: 6*w**2 + 6*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 188a2 (base 11) in base 6?\nAnswer: 322025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/11, -112, 0.3, -2\/5, 10, 5907?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 f and 1 g when four letters picked without replacement from nnfnnllxnlfnffnlngns.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/1994944 and 211\/7481040?\nAnswer: 29924160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 3, q: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/6)\/(19\/3)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 822*w**4 - w**6 - 3979*w**2 - 5193*w**2 - 2639*w**4 wrt w?\nAnswer: -120*w**3 - 43608*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*b + 5 - 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1605369867.\nAnswer: 3, 535123289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -1267.6 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(5 + sqrt(605) + -2 + sqrt(605) + sqrt(605) + (sqrt(605) - -4*sqrt(605)) + 1)*-1*6)**2.\nAnswer: 912384*sqrt(5) + 50201856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*t - t**4 - 4*t)*(t + t - t) + 28*t**3 - 28*t**3 - 2*t**5.\nAnswer: -3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -41 + 41. Suppose 4*d + t*d = 92. What are the prime factors of -2 + d + (-1 - 2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (51\/30)\/(38\/380).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21 + -1033300111?\nAnswer: -1033300132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*v + 5*b + 12757 - 12824, 2*v - 198 = -34*b for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -100*2.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/2 + 52\/(-8). Let r = 10 + w. Calculate the smallest common multiple of 11 and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2441139517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**3 + 11*w**2 - 16*w - 14. Give q(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 33*q - 1. Let d be j(1). Suppose -2*w = -2*r - 0*w - d, 4*r + 57 = -3*w. Let t = r + 69. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 + i**2 + i**2 + i**2 - 4*i**2 + (3*i - 2*i - 3*i)*(i + 1 - 1) + 3*i**2 + 0*i**2 - i**2 - i**2 + 2*i**2 - 2*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m, 0 = -2*l - 173*m + 168*m. Solve 4*w = -5*y - 10 - 5, l = 4*y - 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1299496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/3)\/(10\/(-15) - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 121180 divided by 146.\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**3 + 18*j**2 - 48*j + 40.\nAnswer: -2*(j - 5)*(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2*((-250)\/20 - -10). Solve 25 = 5*d + 2*h + 10, 4*d + 3*h = i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 103, 18747, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-63)\/(-36) + 5\/(-10). Which is the biggest value?  (a) 0.5  (b) 1\/5  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 221509124?\nAnswer: 2, 55377281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 b when two letters picked without replacement from {b: 3, y: 3, h: 1, o: 2, q: 2, c: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 78010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1319.29m in nanometers?\nAnswer: 1319290000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {f: 5, m: 2, w: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and -0.66743.\nAnswer: 0.66743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 415, 829, 1243, 1657, 2071, 2485?\nAnswer: 2899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 50148 - 50148.049713. Round s to 4 dps.\nAnswer: -0.0497","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87477629 is divided by 866115.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -242*j + 94*j + 75*j + 71*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 25026631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n - 46 = 129. Suppose -5 = a + 4*s, -a + 5*s = -6*a - n. What is the closest to 0 in a, -1\/5, 0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the first derivative of -o**4\/12 - 3*o**2\/2 + 3. Let y(v) be the second derivative of p(v). Let b(c) = -c. What is y(b(t))?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*z = 34 - 45. Sort z, 1, -26, -4 in increasing order.\nAnswer: -26, -4, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26 + 10 + 444*x**2 + 0*x - 3*x - 36.\nAnswer: 444*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 - 12. Let b be (0\/f)\/(1 + 1). Solve -5*u - 5*z + 11 + 4 = b, -5*u + 6 = 2*z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 47*i*m**2*p + 13*i*m**2 + 23*i*m*p + i*m + 9*i*p - m wrt m?\nAnswer: 94*i*p + 26*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**2 + 13*l + 46. What is p(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -36 + 126. Let l = 95 - d. Suppose 0 = -3*r + l*t - 14, 4*t - 6 = -2*r + 7*r. Solve 0 = r*k + 3 + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 64 > 70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, x: 1, a: 4, s: 4, o: 1}. Give prob of picking 1 o, 1 a, and 1 s.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14545, -14543, -14541?\nAnswer: -14539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**3 - 12*u**2 + 17*u - 70. Let z be a(11). Sort 3, z, -15 in increasing order.\nAnswer: -15, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 2 + 4)*(5*z - 3*z - 4*z)*(-23*z - 2*z**2 + 23*z).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h + k + 24, 57 = 2*h - 4*k + 13. Let m = h + -20. What is the second derivative of -18*z + 12*z + 4*z - m*z**4 wrt z?\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 2*n**4 + n**3 - n**2 - n + 1. Let f(a) = -908*a**4 + 3*a**3 + a**2 + 30*a + 3. Let t(x) = -f(x) + 3*q(x). What is the third derivative of t(d) wrt d?\nAnswer: 21936*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/2?  (a) -2  (b) -2\/3  (c) 2  (d) -4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -1\/3, 909, -36?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the first derivative of v**4\/4 + 11*v**3\/3 + 5*v**2 + 3*v - 6. Let s be m(-10). Suppose -3*w = 2*w - 20. Solve s*a = w + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 34048065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1 + -1.04. Let m = -0.78 + 5.74. Let i = d - m. Which is the third smallest value?  (a) i  (b) -0.1  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 352733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -11, -28, -49, -74, -103, -136?\n\"Answer: -2*w**2 - 11*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1276 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -3 + 8 - 6 - j. Suppose 3*x - 19 = 5*v, 5*x + 3*v - 36 = 7*v. Suppose 3*k - 5*k - x = 0. Calculate c(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v**3 + 558180*v**2 + 25964300871*v + 51926369046 = 0 for v.\nAnswer: -93029, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 145231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 14 = -2*j, -6*c = 3*j - c - 2. Suppose -100 = -j*q - 4*p, q = 5*p - 2*p + 25. Solve 6*u = u + q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c**(1\/9)\/c*c)*c**(-2\/19)\/c*((c\/c**(3\/4))\/c)\/(c\/c**9))**(-6\/17))**(2\/13) assuming c is positive.\nAnswer: c**(-283\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2937 and 801?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(275) - (1*sqrt(275)*6 - sqrt(275)))**2 - (sqrt(275) - ((0 + sqrt(275))*4 + sqrt(275))**2)*-5)*4.\nAnswer: -119884 + 100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -16.0412 rounded to zero decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 2*k + 419, -3*k + 1 + 263 = 3*d. What is the highest common divisor of 1700 and d?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7\/((-56)\/(-6)) - (-86)\/(-136)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 102 + -76. What is the remainder when j is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.51 and 415.\nAnswer: -211.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 211.9704 minutes in hours?\nAnswer: 3.53284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 2*b - 3*p = -20, 0 = p + 2. What is the highest common divisor of 169 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 3*w**2 + 53*w**3 - 96*w**3 + 60*w**3 to the form s*w + i*w**3 + b + c*w**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6.06 - -23.77. Let u = -0.17 - q. Let s = 34.7 + u. Round s to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29628 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 0.4, -0.36?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2573639506 to the nearest integer?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 105859, 211716, 317573, 423430?\nAnswer: 529287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of -475929 and -0.5855.\nAnswer: -475929.5855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 775826 and -0.5.\nAnswer: -387913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the third derivative of m**4\/12 + m**2. Let s be (2 + -1)*-1 + 1. Let o(j) = -3*j**2 + 4*j**2 + s*j**2 - 2*j**2. Calculate q(o(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 67391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k - 18 = -k. Solve -2*p + 0 = -k*c - 2, c = -p - 9 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.08 + -4.28. Let l = -0.2 - i. Let f = -14 - -11. Which is the third smallest value?  (a) 2\/5  (b) f  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 74 is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8034 and 414369618.\nAnswer: 8034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 674 - 707. Let a = o + 76.9. What is a rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 245*f + 5159 - 2709 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(-3)\/d)\/d*d*d)**(-43) assuming d is positive.\nAnswer: d**86","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**3 + 82*r**2 + 37*r - 9605. Give n(81).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -10 - -1 - (86 + -122)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 63.5 - 65.5. What is the nearest to -1 in 10, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1523 and -1517 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((sqrt(90)\/sqrt(5))**2 + sqrt(18) - sqrt(2)) + 2.\nAnswer: 2*sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 5*x = 22, -n + 3 - 5 = -x. Suppose z - 1 = 2*y, -5*y + 10 + 10 = n*z. What is the second derivative of -2*d**y + 0*d**2 + 0*d - d wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, h: 1}. Give prob of picking 2 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 529 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/((-30)\/5)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -239*m**3 - 311*m**3 - 72*m**3 + 626*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60.57424nm to centimeters.\nAnswer: 0.000006057424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.06 in -4, 3, -1, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sum 47.34 and -0.1.\nAnswer: 47.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -43, -57, -99, -175, -291, -453?\n\"Answer: -z**3 - 8*z**2 + 17*z - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 18155898 and 204?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -328 + 427. Let u = k - 98.9. What is the nearest to u in -2, -7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 12*i - 3. Calculate s(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes after 11:39 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -31504472*z**2 - 26181548?\nAnswer: -63008944*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 555 divided by -3.\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**2 + 5*p - 5. Let i be j(-6). Let w be (-1)\/((-40497)\/40500 + i). What is w rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3502105 years to millennia.\nAnswer: 0.0003502105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 3 a when four letters picked without replacement from {z: 7, t: 2, a: 4}?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/20 + (-2)\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 0*c**3 - c**3 - 5 + 3. Let x = 8 + -5. Suppose 3*o = x*i, -4*o = -0*i + 5*i + 18. Determine s(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -327609*t**4 + 6*t - 7581 wrt t.\nAnswer: -3931308*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + -38 + 36 - -24?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1084 a factor of 4136387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = c - 2. Let p = 15 - c. What is the remainder when 1 - 1 - (-34 - 1) is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -3*o**2 - 49*o - 15. Calculate n(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 36*r**3 - 2*r**2 + 2*r - 1. Give t(1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79735 is divided by 26555?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -4*o**2 - 4 - 4*o - 9*o + 2*o + 2*o**3 - o**3. Let f be t(6). What is the units digit of (-1 + f)*37\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*f**4 - 15*f**3 - 27*f**2 - 21*f - 6.\nAnswer: -3*(f + 1)**3*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 - (-4 - -3 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 118*b + 11. Let o(y) = 87*y + 4 + 9*y - 57*y. Determine -11*o(l) + 4*z(l).\nAnswer: 43*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 10 (base 2) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 39649257?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1192)\/230 - (14 + (-71)\/5)) + 5. Let d be -2 - -1 - 3\/(-3). Is d at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 164 by -2.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (9 - -1 - (-15 + (4 - -12))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-207)\/(-78) - (-4)\/(-8). Let a = 98\/39 + i. Let l = 76 - 837\/11. Calculate the common denominator of l and a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 310 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 193*p + 136*p - 267*p + 744 = 0 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1076 - -588.\nAnswer: 587.8924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -25.7.\nAnswer: -51.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-4*(sqrt(153)*3 - sqrt(153)))\/(sqrt(972)\/sqrt(3))*5.\nAnswer: 40*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -659 = -82*x + 81*x. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 403993 * 17\nAnswer: 6867881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 46835 to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 at most as big as -0.07894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 2*o**2\/11 + 172*o\/11 - 234 = 0.\nAnswer: -99, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27842340.\nAnswer: 2, 3, 5, 31, 14969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((x*x**7*x)\/x)\/x)\/(x*(x**(-3\/4)\/x)\/x*x)*x**5\/(((x*(x*x**(-1)\/x)\/x)\/x)\/x))**29 assuming x is positive.\nAnswer: x**(1827\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(24\/22))\/((-139)\/(8896\/128)).\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4114347*o**5 - 2*o**3 - o**2 - 3546679*o wrt o.\nAnswer: -82286940*o**3 - 12*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000405884 to 7 decimal places.\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 1189, -0.3, 0, 2\/9, -3, -60 in descending order.\nAnswer: 1189, 2\/9, 0, -0.3, -3, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - w = 24421, -334*x + 339*x - 30527 = 2*w. Is 109 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 17252 - 16054. Calculate the highest common factor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bybyeybwyyybxxye. What is prob of sequence bxb?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 65 + -67. Let b be (g\/(-12))\/(2\/21*7). Find s such that -3\/4*s**3 + 0 + 1\/4*s + b*s**2 - 1\/4*s**4 + 1\/2*s**5 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 7*g**2 + 2*g - 8. Let k be s(-4). Suppose -4*w + k = -136. What are the prime factors of w?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-169)\/(-1)*(65 + -66). Is o smaller than -169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnu when three letters picked without replacement from ununuuuunuu.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 66 = 63. Let d be (-1 - h)*72\/96. Let f be ((-2)\/(-5))\/((-32)\/(-30)). Which is the biggest value?  (a) f  (b) d  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**3 - 3*t**2 - t + 3. Let l(y) = y - 4. Let i be l(7). Let r be c(i). Solve r = -w - 4*w + 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yat when three letters picked without replacement from thyaataraat.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1353 and -280616812.\nAnswer: -280618165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**2 + 4*o. Let r(l) = 3*l**2 + 9*l. Let w(z) = -7*i(z) + 3*r(z). Let f be w(-2). Is 9 at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o**3 - 145539*o**2 - 3202947*o - 17618205 = 0 for o.\nAnswer: -11, 48535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 223 is divided by 110.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/(-4))\/((-1)\/1)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117) + 1*(sqrt(117) + -2*sqrt(117) + sqrt(117)))\/(-3*sqrt(81)) + -2.\nAnswer: -2 - sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28473?\nAnswer: 3, 9491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2.3  (b) -0.3  (c) -15.2742  (d) -5  (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1 and 571576?\nAnswer: 571576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3180417*r*u**2 + 115*r*u - 562223614*r wrt u.\nAnswer: -6360834*r*u + 115*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**3 + 10*x**2 + 2*x + 3. Let b be m(-7). Let z = -85 + b. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*-6*((-4 + (1 + sqrt(1053) + sqrt(1053))*-1 + 2*sqrt(1053) + 3)*-2)**2.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 10.566033 to 1 decimal place.\nAnswer: 10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:33 AM and 7:25 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/7, -11, -7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -6*x**2 - 280*x - 1387. Determine p(-41).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5229659, 5229670, 5229679, 5229686, 5229691, 5229694?\nAnswer: 5229695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 41*u**2 + 12*u - 32. Let m(c) = -124*c**2 - 33*c + 96. Let t(a) = -4*m(a) - 11*z(a). Differentiate t(i) wrt i.\nAnswer: 90*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 2\/539  (b) 3  (c) 0.3  (d) -6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (63*l**2 + 279*l**2 - 35*l**2)*(2*l - 2*l + 3*l**3 + 2*l**3 - 4*l**3 + 3*l**3 + (2*l**2 - 7*l**2 + 3*l**2)*(0*l + 0*l - l) - l**3 + l**3 - l**3).\nAnswer: 1535*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((5 + -3*sqrt(448))*-2 - (sqrt(448)*-1 + -2 + sqrt(448) - (-4 + (sqrt(448) - 2*sqrt(448))))) + -4)**2.\nAnswer: -1280*sqrt(7) + 11456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 1 = 7. Suppose 0*o = v*o. Solve 3*f - 6 = 0, o = -3*a + 2*a + f + 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2293366193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1200 < 2397\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 5*p + 95 = 0, -3*g = -5*p + 16 - 83. Let b(o) = 7*o + 5. Let a be b(-6). Let w = 5 - a. Calculate the highest common divisor of g and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:45 AM and 12:23 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes after 8:36 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(1\/16)\/(o*o**(3\/5))*(o**1)**(-1\/16))**(-2\/77))**6 assuming o is positive.\nAnswer: o**(96\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36 + 63 - 44072*f + 44074*f.\nAnswer: 2*f + 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -29*m**2 - m - 7*m**3 + 65*m**2 - 33*m**2 in the form y*m + r + o*m**3 + h*m**2 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 12*k + 1. Let b be t(6). Suppose 5*h - b = -23. Suppose 4*s = 4*z, 3*z = -z + 2*s + h. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(216)*-2 - sqrt(6))\/(-1*sqrt(3)*-1) - (-4*(3 + sqrt(288)) + 2 + sqrt(288)*-1)**2.\nAnswer: -7300 - 1148*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.628 to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 66 = -12*g, -3*g + 149 = -s + 298 - 137 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10220 and 1752.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-146)\/(-30) + (-10 - -10 - 5)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 555.479 rounded to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - 3*u + 6. Let s be -2 + u + 1*-2. What is the units digit of 0 + s + 1 - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -607 + 616. Let c(q) = -31*q + 299. What is the remainder when 89 is divided by c(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 0*h**3 - 3*h - 2*h**3 - 2 - 2*h**2 + 0*h**2 - 3*h**2. Is 10 a factor of w(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 16*s**2 - 191*s - 16. Let x be c(12). Suppose 22*w - 19*w = -42. Let t = 4 + -4.4. Sort t, w, x.\nAnswer: w, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 4*q - 4. Let y(w) = 3*w - 3. Let j(d) = -4*n(d) + 5*y(d). Let k be j(1). Which is the closest to 1?  (a) 1\/4  (b) -1\/3  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4064112 and 82134?\nAnswer: 109731024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 387426 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.18944695 to two dps.\nAnswer: 2.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 319089 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**9*o*o\/o**(-2)*o**(-8)\/((o**7\/o)\/o) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - 4*m + 168 = -5*b, 54 = -2*b - 5*m. Calculate the remainder when 54 is divided by (-24)\/(-14)*(b\/(-4) - -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 - -34d?\nAnswer: 34b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 308618 or 308655?\nAnswer: 308618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 9180073 to the nearest 10000.\nAnswer: 9180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 2321, 4678, 7097, 9608, 12241, 15026, 17993, 21172?\n\"Answer: 5*l**3 + l**2 + 2319*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5*b**3*d - 2*b**3 - 8*d - 4 wrt b?\nAnswer: 15*b**2*d - 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 6, f: 4, u: 3}. What is prob of picking 2 f and 1 u?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*i + 9*i - 3*i - 1670*i + 904476 - 904476 + (-i + i - i)*(2 - 6 + 3).\nAnswer: -1665*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*c - 72, 2*i + i - 4*c + 11 = -85 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -3*x - 22. Let g(o) = o**3 + 5*o**2 - 8*o - 15. Let z be g(x). Which is the second biggest value?  (a) 1  (b) z  (c) 0.5  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15388, -30768, -46148, -61528?\nAnswer: -76908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**3 + 6*h**2 - 3*h - 1. Let u be c(3). Let q be (-2)\/(-5) - (-44)\/(-40)*-46. What is the greatest common factor of u and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 111 and 341769?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 164 - 4?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/(-4)*839\/489. Let h = q + 6\/163. Do -2 and h 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 {i: 4, b: 2, y: 1, o: 6, j: 4}. Give prob of sequence obii.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*j + 6 = -16*j. Suppose -3\/2*k + 1\/2*k**j + 1 = 0. What is k?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t\/(t\/t**(-9\/7))*t*t**(-2\/7))\/(((t\/(t\/(t*t**(-1\/13))*t))\/t)\/(t**(-4)\/t)) assuming t is positive.\nAnswer: t**(-318\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 1) + (-80 - -78).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 7 + -7587880\nAnswer: -7587873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -533*s**2 - 186*s**2 - 152*s**2.\nAnswer: -871*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*c**2 + 3*c - 2*c - 11*c**3 - 1 - 6*c**2 + 0*c**2 as d*c**3 + s + q*c + p*c**2 and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3.8 or -6?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i**4 - 2*i**5 + 0*i**4 + (-12*i**5 + 14*i**3 - 14*i**3)*(-3 + 1 + 0)*(-3 + 11 - 1)*(3 + 13 + 0).\nAnswer: 2686*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 - 4)*(0*s**2 + 2*s**2 - s**2)*(3275 - 3275 - 503*s).\nAnswer: 1509*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 + 1.02. Let q = 3.02 - n. Let i = -62 + 62.3. Which is the second biggest value?  (a) q  (b) i  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 439965 is divided by 7640?\nAnswer: 4485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62*p**2 + 129*p**2 - 71*p**3 - 37*p**2 - 30*p**2.\nAnswer: -71*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -88\/15, -167, 1 in decreasing order.\nAnswer: 1, -88\/15, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2231*o + 2*o**3 + 27*o**2 - 2231*o - 2 to the form z*o + h + l*o**2 + q*o**3 and give l.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -2*y**2 - 18*y + 13. Calculate d(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * 18899.65.\nAnswer: 37799.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - (1 - 42\/6)*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(91)*-2*5)\/(sqrt(49)\/sqrt(63) + sqrt(42)\/(sqrt(6) - sqrt(6)*2) + sqrt(7)).\nAnswer: 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1830593*r**2*z - 5*r**2 - 13086*r*z - 5*r + 20 wrt r?\nAnswer: -3661186*z - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/2)\/((-76)\/(-494))?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/((-40)\/(-15))*24\/9. Factor 245*s**4 + 252*s**4 - 496*s**h - s**2.\nAnswer: s**2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 + (-9 - (-17 - -15 - 6)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3937762 divided by -9398\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -37*v + 6. Let m(x) = -38*x + 7. Give -3*m(s) + 4*n(s).\nAnswer: -34*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3829399 is divided by 17172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50 + 26 = 4*t + 4*w, t - w + 4 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 11*t**3 + 7*t**2 + 7*t + 7. Let i(v) = -10*v**3 - 6*v**2 - 6*v - 6. Let k(q) = -q**3 + 33*q**2 - 30*q - 58. Let n be k(32). Give n*h(r) + 7*i(r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in eighty-one halves of a meter?\nAnswer: 4050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*m + 15. Suppose -5*k + 28 = 2*w, 1 - m = -2*k. Let u = 22 - w. Solve 0 = 4*x + 4*b, 4*b - u - 3 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133)\/(sqrt(7) + sqrt(343) + sqrt(343)*-2 + sqrt(7)) - ((1 + sqrt(475))**2 + 2)) + -4.\nAnswer: -482 - 51*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2366557 - -5?\nAnswer: -2366552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-56)\/21*(-621)\/6 is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 921 and 213812299?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**4*g*g*g**(-3\/2))\/(g\/(g**(3\/5)*g))**(6\/7) assuming g is positive.\nAnswer: g**(421\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/29?  (a) -1  (b) -29  (c) -38  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 216342904 - -0.4.\nAnswer: 216342904.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*x**3 - 74 + 74 + 566*x.\nAnswer: -3*x**3 + 566*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -186*b**5 - 103*b**5 - 925*b**2 - 167*b**5 - 15 + 15 wrt b?\nAnswer: -27360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3357 is divided by 1116?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**2 + 29. Let c(q) = -193*q + 2. Calculate w(c(x)).\nAnswer: 37249*x**2 - 772*x + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 43 = 4*i, -3*i = 2*i - x - 61. Suppose -5*z + 2*p = -302, -3*z + 2*p + 170 + i = 0. Is 20 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (21\/12)\/((-2)\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.586055g in micrograms?\nAnswer: 7586055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**3 + 44*z**2 + 246*z - 13. Let c be r(-7). What is the highest common divisor of 192 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -10*s**2 - 2*s + 2. Let i(k) = k**2. Determine -c(g) - 4*i(g).\nAnswer: 6*g**2 + 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 246?  (a) 0.3  (b) -3  (c) -4\/11  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 780, 1366, 2050, 2832, 3712?\nAnswer: 4690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -22, -50, -84, -124, -170?\n\"Answer: -3*u**2 - 19*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**2*p)**(16\/5)\/(p**5\/p**(-8)))**(-39) assuming p is positive.\nAnswer: p**(663\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/5  (b) -5  (c) 12953  (d) -1\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 31*p - 33*p = -2344, 2*c - 5*p = 2323. What is the greatest common factor of 668 and c?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -80, -76, -72, -68, -64?\n\"Answer: 4*b - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ctltl. What is prob of sequence tt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37723*i**3 + 371394 - 371394.\nAnswer: -37723*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {s: 1, i: 2, e: 4, z: 2, p: 2, n: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -47*m - 2*m**3 + m**2 - 36*m - 7*m as r + u*m**3 + f*m + b*m**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yocoooocbocy. Give prob of picking 1 o, 2 c, and 1 b.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**3 - 6*f**2 - 10. Let x(b) = -b**3 + 12*b**2 + b + 19. Let h(k) = -5*l(k) - 3*x(k). Is h(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l. Let i(c) = -4*c**2 - 4*c. Let a(o) = 4*o**2 + 3*o. Let n = 5 + -9. Let f(y) = n*a(y) - 3*i(y). Calculate p(f(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -31 by 7.\nAnswer: -31\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 93159292 - 245*o - 93159292.\nAnswer: -245*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -4*r**2. Let v(g) = -3*g**2 - g + 75758. Calculate v(f(s)).\nAnswer: -48*s**4 + 4*s**2 + 75758","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 187 - 199. Which is bigger: p or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/3*(-243)\/3. What are the prime factors of (-2)\/(-3) - (-873)\/m?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 765 divided by -5\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g**3 + g**3 + g**3)*(0 - 4*g + 0) + 4*g**2 + 9*g**4 - 4*g**2.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*j - 6*j**2 + 6*j + 0*j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 11, o: 1, n: 2, r: 5}. Give prob of picking 1 n and 2 y.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81630?\nAnswer: 2, 3, 5, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Total of 17.525 and 0.111.\nAnswer: 17.636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 958 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 22*r**2 + 1576*r + 377. Is x(112) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1036613\/145 - 7149. Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - 3) + (-10 - (7 - 1) - -10 - 10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2050*i**3 - 25*i**2 + 21*i wrt i?\nAnswer: -12300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 21093 and 4.\nAnswer: 84372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t - 2 + 2)*(1 + 2 - 4)*((-2 - 3 + 3)*(4 - 4 - 2) - 1 + 1 - 2 + 2 + 0 - 3).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 + 7*c**2 - 17*c + 45. What is b(-9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*b**3*n**4*p**2 - 2*b**3*n**2*p**2 - 14*b**3 - 8*b*n**2*p**2 - 2*b*n**2 + 110*n**4 wrt n?\nAnswer: -48*b**3*n*p**2 + 2640*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 14773352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 28\/(-3)*(-13)\/104. Let d = 1814 + -1812. Which is the second biggest value?  (a) d  (b) u  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((114 - 111) + (-3 - -1))*74149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2044 = o - 9*v + 4*v, -2*o - 2*v = -4076. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 55*n**4 + n**3 + 8*n + 7?\nAnswer: 660*n**2 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 3 = -u. Suppose 10*s = 5*s + 20. Let i be (-1)\/2 + (-2)\/s. What is the nearest to -1 in u, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1421)\/(-16632) + 726\/(-9801)\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 37840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 2*f + 0*f = -8, -4*j + 5*f + 18 = 0. Suppose 99*t + 2233 = -30*t + 5974. Solve 5 = -z, 0 = -4*n + j*z + 3*z + t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/((-6)\/2 - -2). Suppose 0*i + 24 = c*d - i, -5*i = -d - 6. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27029184 a multiple of 338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*k**2 + 2*k**2 - k**2)*(-18*k**2 - 28*k**2 + 3 - k + 42*k**2) as z*k**3 + v*k**2 + g*k**4 + o + u*k and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 234*v**3 + 602*v**2 - 5. Let c(t) = 233*t**3 + 603*t**2 - 6. Let b(f) = -5*c(f) + 6*o(f). What is the third derivative of b(z) wrt z?\nAnswer: 1434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1836 - 1836 - 34*f**3)*(1 - 3*f**2 - 1).\nAnswer: 102*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 7 = -2*y - 9, -4 = 2*y + 5*l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v**2 - 26*v - 18. Let f(y) = 4*y**2 + 2*y + 1. Let u(d) = d**2 + d. Let w(z) = f(z) - 3*u(z). Let m(n) = p(n) - 6*w(n). Factor m(r).\nAnswer: -4*(r + 2)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 3154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*k**4 + 0*k**4 + 106*k - 5 - 32*k - 40*k - 33*k + 5*k**2 to the form o*k**3 + l*k**2 + c*k + x*k**4 + s and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 1 + 0 - (-86 - -92)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 105\/(-28)*(2 + -6). Suppose -4*i - 2*f + 15 = -k, -4*f + 45 = 5*i. Suppose 3*x - 45 = 3*d, d - 8 = -i*x + 49. Solve -x = 5*q - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-960)*-6*4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-3)\/1 - 9)*-1. What is the second derivative of -69 + 2*h**3 + 0*h**3 + r*h + 68 wrt h?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - s - q = 9, -2*q = s + 8. Factor w**4 - w**5 + 5*w**2 - 11*w**s - 2*w**5 + 5*w**4 + 3*w.\nAnswer: -3*w*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 74\/(-3) + 2\/3. Suppose -44*s + 48*s + 5*c - 124 = 0, 96 = 4*s - 2*c. Let v = s + j. Solve v*h + 12 = 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 21775 and 472350?\nAnswer: 1675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -112*l**2. Let p(z) be the third derivative of z**4\/6 + 268*z**2. Determine n(p(x)).\nAnswer: -1792*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12322021 + 0?\nAnswer: 12322021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes before 3:16 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 620 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 36 = 2*c. Let u(y) = 5*y**2 - 1. Let f be u(-1). Suppose c - f = x. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24.53493 times -10?\nAnswer: 245.3493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4025 is divided by 799.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -236, -239, -242, -245, -248?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 44 = -4*y, -2*c = c - 3*y + 54. Sort 2, -4, 3, -18, c in descending order.\nAnswer: 3, 2, -4, c, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3975971 divided by 6?\nAnswer: -3975971\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -113*b**5 + 564*b**4 + 2815282*b**2.\nAnswer: -6780*b**2 + 13536*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-3)\/(-12))\/(6\/16*-1). What is the nearest to p in -0.1, 0.2, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 29, 399, 1107, 2153, 3537?\n\"Answer: 169*p**2 - 137*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 416580 divided by 27772.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -190.7 + 184.742. Let t = 0.042 - g. Which is the fourth smallest value?  (a) -1  (b) t  (c) 2  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.1 from -667.\nAnswer: -667.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 35270, 36792, 38316, 39842, 41370?\nAnswer: 42900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 4103, 4105, 4107, 4109, 4111, 4113?\n\"Answer: 2*f + 4101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 9 = 17. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 6 = 6*s. Suppose -5 + 1 = -s*z. Let 8*k**3 + 4*k - 2*k + 0*k**3 - 10*k**z = 0. Calculate k.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the third derivative of 1\/120*r**5 + 0 + 2*r**2 - 1\/840*r**7 + 0*r + 0*r**3 + 1\/480*r**6 + 0*r**4. Let i(o) = 0. Calculate o.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66824099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2338\/8 - (13 + 816\/(-64)). Suppose -6*p + a - 178 = 0. Solve -g + 5*r - p = g, g = 2*r - 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -703632 divided by 2?\nAnswer: -351816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the third derivative of -p**7\/4620 - p**6\/1980 + p**5\/330 + 7*p**3\/3 + 5*p**2. Let d(i) be the first derivative of w(i). Factor d(a).\nAnswer: -2*a*(a - 1)*(a + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**2 - 33102*j.\nAnswer: 2*j*(j - 16551)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -56532819, -113065628, -169598439, -226131252, -282664067, -339196884, -395729703?\n\"Answer: -y**2 - 56532806*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 71, -4, -3847, -22 in increasing order.\nAnswer: -3847, -22, -4, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 8057965 a multiple of 1755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes after 8:39 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1057080 and 859835.\nAnswer: 1915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s**2 + 2*s**2 + s**2 + (-s + 0*s + 2*s)*(-5 + 0 + 3)*(s + s - s))*(9*s - 8*s + 9*s).\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5 and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -515693516 by -139906.\nAnswer: 3686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -5*q**3 - 22*q**2 - 18*q + 61. Calculate b(-3).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0139724805 to 5 decimal places.\nAnswer: 0.01397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -908300 by -4.\nAnswer: 227075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 2*r**2 - 92*r + 907. Let d be f(16). What is the smallest value in 5, d, -2, -5, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 less than -1233?\nAnswer: -1233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -2, -0.5, 99, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 0*n + 18 = -n, 0 = -4*q - 3*n + 22. Calculate the remainder when q is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.51215l in millilitres?\nAnswer: 8512.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.9 - -2. Which is the nearest to o?  (a) -4\/5  (b) 2  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the third derivative of 1\/12*d**5 + 0*d**4 + 4*d**2 + 1\/3*d**3 - 1\/120*d**6 + 0 + 0*d. What is the remainder when 3 is divided by f(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1102360 divided by -1085?\nAnswer: -1016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 70*m - 6 + 75*m to the form h*m + l and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1312 = -3*t + 5*r - 1223, -136 = -8*t - 12*r for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in one twentieth of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0\/(4\/(-4) - 2))\/2. Suppose t = -s, 0*q - s = q - 24. Suppose -19*k - 555 = -q*k. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (69\/10350*-30)\/((-2)\/430)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19951944737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 7, q: 9, f: 3}. What is prob of picking 1 f and 2 i?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**3 - 28*x**2 - 86*x - 52. Let t be n(31). What is the highest common factor of 75 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -130 - -148. Calculate the remainder when 32 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2232)\/(-1736))\/(3021\/266).\nAnswer: 6\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**2 + 2*m - 29. Let w(t) = 88*t + 55 + 61 + 76*t - 4*t**2 - 173*t + 0*t**2. What is -9*o(z) - 2*w(z)?\nAnswer: -z**2 + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 89*p - 88*p + 6 - 4.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 + -124?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 19\/6 - 3\/18. Let a(n) be the first derivative of -n**k - 3\/2*n**2 + 0*n - 3. What is the second derivative of a(v) wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 12*s + 1. Let a be d(-1). Let t = 13 + a. Solve -2*y - 4*o + t*o + 4 = 0, -y + 4*o = 13 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - 15\/9*(-45)\/24?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 3, 34, 97, 204, 367?\n\"Answer: 2*t**3 + 4*t**2 + 5*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13003 - 11456. What is the highest common factor of j and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 33 + -15828?\nAnswer: -157d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t + 21. Let h be a(-19). Let s(p) = 7 + 17*p - 16*p - 2 - h. Calculate the remainder when 12 is divided by s(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 - -b1?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q. Let z(x) = 6717*x + 12. Let s(m) = 2*m + 4. Let d(t) = 3*s(t) - z(t). Give v(d(h)).\nAnswer: -6711*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8029 + 8029.15. Which is the closest to -0.1?  (a) q  (b) -9\/2  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**2 + 6*a - 5. Let o be i(4). Suppose -2*x - 3*u + 8*u = -270, 3*x - o*u = 396. Suppose 10*f - x = 9*f. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from apzzb. Give prob of sequence pba.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*i**5 - 28312*i**4 + 1524114*i**3 - 15474276*i**2 - 137055240*i - 228452400 = 0. Calculate i.\nAnswer: -3, 30, 14102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + 6 = 1452*d - 1453*d, 20 = -2*h - 4*d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.3 and -0.144.\nAnswer: 0.0432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 9 + -4 + 0 - (2 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-8)\/6)\/(4 - (-13 - -19)). What is the third smallest value in -5, m, -2\/5, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 73 - 72. Which is smaller: -0.55 or r?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0003671126 to seven decimal places.\nAnswer: -0.0003671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*h + 56424*h**2 + 2*h - 56431*h**2 + 6.\nAnswer: -7*h**2 + 9*h + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 3*o = -1, -9 = -3*k - 5*o + 2. Let n(a) be the first derivative of a**2\/2 - 10*a + 25. Give n(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 101  (b) 5  (c) -29  (d) 3\/2  (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 2*d = 3*m - 61, 0 = 5*m - 2*d - 103. Calculate the remainder when 3\/13*1664\/576 + (-578)\/(-6) is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -1, -5, 17, 185 in ascending order.\nAnswer: -5, -1, 6, 17, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37600650 is divided by 5136?\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2742322.1 - 12.\nAnswer: -2742334.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (35*6\/49)\/(24\/112). Suppose 64 = -5*i - 26. Let d = i + l. Solve -1 = d*h - w + 10, 5*h + 2*w = -14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = 2*x + 4, 4*d - 85 + 77 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + p - 5)*(56*p**4 + 59*p**4 - 116*p**4 - 10).\nAnswer: -p**5 - 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/50 and -83\/34149075.\nAnswer: 68298150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k + 1347 = w + 4*k, 3*w + 3*k - 4116 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*i - 76 = -3*s + 579, 3*i = 5*s - 49 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/6 - 62\/6. Let u = 8 - 24. Let q = o - u. Solve q = -4*k - 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -2008\/4407?\nAnswer: -2008\/4407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3357\/2 in 0.5, -5\/3, -0.05, 0.4, -1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sum -15 and 1.8584.\nAnswer: -13.1416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -78288*u + 85*u**3 + 78288*u - 19*u**3 + 3*u**3.\nAnswer: 69*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = 2*j - 34, j + 5*p + 3 - 34 = 0. Suppose 5*b = -4*c + j, -5*c + 4*b - 13 = -4*c. What are the prime factors of c + (-3)\/1*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 680*c**3*o + 130*c**3 - 7479630*c*o wrt c?\nAnswer: 4080*c*o + 780*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -70\/3, 0.2, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.1  (b) -4053\/8  (c) -2  (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4 - 5\/((-15)\/(-9))*-1. Let c(f) = f**2 - 5. Give c(h).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 79821, 159589, 239311, 318963, 398521, 477961, 557259?\n\"Answer: -4*i**3 + i**2 + 79793*i + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -15 - -17. Which is the nearest to 2?  (a) 0  (b) 0.2  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**2 - 4140*f + 4196096.\nAnswer: (f - 2368)*(f - 1772)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(2\/7))\/d*d*d)\/(d**(-4\/7)\/d)*((d\/(d\/d**0))\/d)**(17\/6)*(d**(-4)*d**(-6)*d)\/(d\/d**2)**(40\/3) assuming d is positive.\nAnswer: d**(75\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + j**2 - 1)*(3 + 7 + 5*j - 7)*(18*j - 11 + 8 + 28*j) to v*j + o*j**3 + x*j**2 + d*j**4 + c and give d.\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 4*n = -2*l - 12, 3*l = n - 7. Calculate the common denominator of 115\/14 and ((-46)\/l)\/(20\/4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 172*r**2*u**2 - 16*r*u**2 - 3*u**2 - 2244*u with respect to r.\nAnswer: 344*r*u**2 - 16*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three fifths of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00099684651 to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tq when two letters picked without replacement from {q: 6, t: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n + 0*n + 5*n)*(-1 + 0 + 2) + 12 - 174*n - 12.\nAnswer: -172*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the first derivative of -2\/3*g**3 + 0*g - 24 + 0*g**2. Let u(o) = o**2. Let a(n) = n**2. Let k(v) = -6*a(v) + 5*u(v). Give k(m(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(126)*3)\/(sqrt(12)\/(-1*sqrt(6))).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*b**3 + 15526 - 15526.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q + 9*q + 28*q - 236060 = 0. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/((k*k**6\/k)\/k))\/((k\/(k\/(k*k**(4\/9)))*k)\/k*k))\/(k\/(k\/(k*(k*(k*k**0\/k)\/k)\/k))*k\/k**(-3)))**(2\/93) assuming k is positive.\nAnswer: k**(-188\/837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 512 = 5*w + q, 4*w + 179 = -q + 587. Are w and 71 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 730 + -545. Calculate the remainder when i is divided by 58.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2785 is divided by 942?\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 3, n: 2, m: 3}. What is prob of picking 3 m and 1 f?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2\/3 + 536924*h\/3 + 178974.\nAnswer: 2*(h + 1)*(h + 268461)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 45 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -4798*v**3 + 4*v**2 + 4801*v**3 + 17*v - 6*v**2 - 3*v**4 + 3 in the form a*v**3 + s*v + d*v**2 + t + q*v**4 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -d - 2*x + 3*x, -4*d + 2*x + 50 = 0. Let t = -7 + d. Let v be (0*(-1)\/t)\/(-2). Let w(j) = -j**3 - j**2 + j + 7. Determine w(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**2 + t. Let n(l) = 3*l**2 - l + 3. Give -n(f) - 2*r(f).\nAnswer: -f**2 - f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1921*40\nAnswer: -76840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 264*l**2 + 262*l**2 - 34*l - 528*l**2 + 35*l - 1713 to y*l + f + g*l**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -49309 - -4?\nAnswer: -49305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -65\/2 + 197\/6. Let g = 160 - 159.8. Let o = 25\/6 + -143\/30. Which is the closest to n?  (a) -4  (b) o  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**2 + 17*m + 31. Let k be x(-15). What is the greatest common divisor of k and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2.6 and 87.\nAnswer: 226.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -430 (base 6) to base 16.\nAnswer: -a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46839484?\nAnswer: 2, 19, 37, 16657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -78 - -144. Let l = 70 - z. Which is the biggest value?  (a) l  (b) -2  (c) -3  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5788 + -34645\/6. Find the common denominator of -53\/6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {v: 1, w: 5, i: 3, a: 5, d: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -210700 to the nearest one thousand.\nAnswer: -211000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - 0. Suppose j - n*s - 149 = -4*j, 4*j - 110 = -3*s. What is j rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n + 4 = -3*u + 1, 0 = -3*n + 3*u + 27 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -580*b + 577*b = -12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62 = -2*v - 5*u + 45, -6 = 2*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 415*o + 10. Let k be y(-1). Let m = 753 + k. What are the prime factors of m?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-342)\/12*(20\/(-12) + 1) is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 175 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 165\/(-57) + ((-16)\/38)\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -7262, -1, 5, -13.\nAnswer: -7262, -13, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the second derivative of 1969*a**5\/20 + 16*a**3\/3 + 5*a**2\/2 - a - 589. Find the second derivative of y(z) wrt z.\nAnswer: 11814*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the third derivative of 0*y - 1\/6*y**5 - 5\/3*y**3 + 0 + 1\/120*y**6 - 23*y**2 - 5\/12*y**4. Is l(12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6301035*u**3 + 8693037.\nAnswer: -18903105*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 5*(-5)\/(50\/4). Let p be k + -2 - 204\/(-48). Which is the nearest to 1?  (a) -0.1  (b) p  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -77 - -129. Let m = -39 + i. Calculate the remainder when 34 is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 92 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.05 - -0.05. Let k = g + 0. Which is the closest to -1?  (a) k  (b) 5  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/56736 and -113\/18912?\nAnswer: 56736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*p + p**2 - 1741*p**3 + 871*p**3 + 869*p**3 to the form z*p**3 + w + y*p**2 + d*p and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*r = -11*r. Let l be 4\/(-1 + r + -1). Let a(f) = -102*f - 3. Is a(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -16*v**5 - 2*v**2 - 4. Let p(c) = 16*c**5 + c**2 + 5. Let h(g) = -5*m(g) - 4*p(g). Find the third derivative of h(x) wrt x.\nAnswer: 960*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 75693.24 weeks to hours.\nAnswer: 12716464.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 2 - 2)*(0*s**2 + 0*s**2 - s**2)*(-10*s**2 - 10*s**2 + 110*s**2).\nAnswer: -180*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12799 + -7793. What are the prime factors of z?\nAnswer: 2, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the third derivative of 3*m**8\/140 - 8*m**7\/175 + 2*m**6\/75 - m**2. Factor u(v).\nAnswer: 4*v**3*(3*v - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.9 - 3.9. Suppose 10 = 5*f - 0. Which is the closest to -1?  (a) u  (b) 3\/7  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(132) - sqrt(132))\/sqrt(6) - (-1*sqrt(550) + sqrt(550)))\/(sqrt(18)\/(sqrt(9) + -2*sqrt(81) - sqrt(9))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve a = 5*k - 24, a - 4 = 4*k + 6*a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 492 and 5559387.\nAnswer: 911739468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 12 - 20 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-2 + -5 + sqrt(63)*-2).\nAnswer: 14 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes after 2:20 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.05 - 2764.7.\nAnswer: -2764.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 89038*r + 89031*r + 89035*r - 267113*r.\nAnswer: -9*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o + 4. Let p(g) = -1. Let b(v) = -4*p(v) + r(v). Let l be b(9). Let x be (l\/3)\/((-2)\/12). What is the biggest value in -1, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = -6 - 29. Let j = 3 + i. Let y be -1 - (-1)\/(2 - 1). Put y, -3, j in ascending order.\nAnswer: j, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -19609 and 38?\nAnswer: -745142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -129 divided by 65086?\nAnswer: -129\/65086","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b + 103*s - 92*s + 97, 2*b - 4*s = 48. Let i(p) = -p**3 + 10*p**2 - 9*p + 84. What is i(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 2*o**2 + o - 50. Let l be n(0). Let m = 74 + l. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 14 + 5 - 13)*(-12*f - 12*f - 9*f) in the form v*f + r and give v.\nAnswer: 693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 105 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/((-8)\/6)*(-14 + 16). Let l(w) = -w**3 - 7*w**2 - 14*w - 9. Is l(o) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -140 + -10254?\nAnswer: -10434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 15*y + 10. Suppose 30*m - 40 = -100. Determine h(m).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 2*c**2 + 0*c**2 - 8*c**3 - 1 - 46*c**3. Let k be w(-1). Let u(y) = -2*y - 3. Let g be u(-7). What is the highest common factor of k and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/(-3)*-1*3. Suppose -b*k + 55 = -3*k. What is the greatest common factor of k and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2, -0.4, 8, 0.096?\nAnswer: 0.096","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/7  (b) 3  (c) 4  (d) 1\/2  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*a**5 + 6*a**5 + 0*a**5 + (-5*a**4 - a**4 + 3*a**4)*(2 - a - 2) + a**5 - 4*a**3 + 4*a**3.\nAnswer: 13*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 10 = 5*f + 4*a, -f = 3*a + 1. Suppose -520 = -5*n + f*l, -73 + 377 = 3*n - l. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0030410566 to 5 dps.\nAnswer: -0.00304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.02225, 5, 250 in increasing order.\nAnswer: 0.02225, 5, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 512 (base 12) to base 11.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 23*k + 27016 + 4103. Let c = k - -2287. Does 31 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*-3.62502\nAnswer: 1.450008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3457?\nAnswer: 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-14)*w*w)\/(w**(-10)\/w))\/(w**(-17)\/(w**1*w)) assuming w is positive.\nAnswer: w**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -108948 by 6.\nAnswer: -18158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 13228 - 4174. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1565 * -0.5.\nAnswer: 782.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2866094 by -2849.\nAnswer: -1006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:58 PM and 7:08 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*x + 82 = 2*c + 12*x, 0 = -5*x - 20. Suppose -c*l = -34*l - 240. Calculate the remainder when l is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1220101110 - -101?\nAnswer: -1220101002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 377086024 by -1384.\nAnswer: -272461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y + 0*y + 2*y)*(3 - 4 - 1) + 4*y - 3*y + 0*y - 2*y + 5 - 5 + 2*y - 2*y - y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 41983?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n + 4*a - 841, -6*n + 2*a = -341 - 641. Which is greater: 191 or n?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -21084 - a55?\nAnswer: -21ad9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l + 3*w - 48 = 49, 56*l - 47*l + 23 = 2*w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 242301507.19 and -589?\nAnswer: 242302096.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**2 - 72803460*l + 662542973496450.\nAnswer: 2*(l - 18200865)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 11599551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23281, 46546, 69815, 93088, 116365?\nAnswer: 139646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 1 - 2)*(3 + 7 - 7)*(-2*o - o + 7*o + (2 + 2 - 3)*(-o - 4*o + 4*o)) as l*o + m and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 91 - 31. 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: Put -8, 1692, 2, -12 in decreasing order.\nAnswer: 1692, 2, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-18)\/6*(-4)\/3. Let x be q + (-1 - -2)*1. Let v = 0 + x. Solve -v*o = -o - 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -36, -4, -10 in decreasing order.\nAnswer: -4, -8, -10, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1734371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 75\/68518 and 85\/974.\nAnswer: 33368266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3084\/14 - 6\/21. Let k be (w - 1) + 4\/4. Suppose 0*h + k = 5*h. What is the remainder when h is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.4279 - 0.2311. Let d = 1.659773 + a. Round d to 5 dps.\nAnswer: 0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 6*k + 812 = 0. Let l = k + -192. What is the remainder when 87 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10001 - 10110010?\nAnswer: -11000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/2 + (-1)\/(-2). Let r be 23\/(-3)*(3 - 0). Let o = 205\/9 + r. Which is greater: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - ((0 - 5) + 11) - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -897289 + -4?\nAnswer: -897293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1\/3))**(-25)\/(f*f**(-3)*f*f\/(f*f**(2\/5)*f))*(f**(2\/3)\/((f*f**1)\/f))\/(f**3*f*f**(-3)) assuming f is positive.\nAnswer: f**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3\/184, -0.2, -1\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -20*f**3 - 3*f**2 + 16. Let y(k) = 59*k**3 + 8*k**2 - 48. Let a(g) = -8*v(g) - 3*y(g). What is the first derivative of a(d) wrt d?\nAnswer: -51*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 3*c - 15. Calculate the remainder when ((-10)\/6)\/(2\/(-54)) is divided by k(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -8, 17, 58, 115?\n\"Answer: 8*h**2 + h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -2*v + 1. Calculate w(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -236 - 27413?\nAnswer: -27649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -59089184 by -352.\nAnswer: 167867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 3*n - 24 = -4*n, -3*d = 5*n - 10. Suppose d = -z - 2*i, -9 = z + 3*i - 1. Let h be 1 + -2 + 3\/z. Put 4, -5, h in increasing order.\nAnswer: -5, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78798 is divided by 39285?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (28 - -22) + (17 - 177).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -323*w - 875*w - 39205 = 397*w + 23000 for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**2 + 3*u + 6. Let q(n) = n**2 - 5*n - 11. Suppose 9*j = 2*j - 35. What is j*c(z) - 3*q(z)?\nAnswer: 2*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-84)\/(-6 - -2) + -3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jssxgxsxssxxxsgsgg. What is prob of sequence ssj?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in fourty-nine fifths of a centimeter?\nAnswer: 98000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -75.2 + 23.2. What is the biggest value in -1\/7, l, -0.5, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes before 4:06 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -90*z - 530. Let s(g) = -55. Determine l(x) - 10*s(x).\nAnswer: -90*x + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000338 rounded to 6 dps?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1168 + -3a?\nAnswer: 112d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1898 a factor of 132996656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*l**3 - 5*l**3 - 8*l**3 + 18*l**3.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**9\/(s**16*s) assuming s is positive.\nAnswer: s**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and -1258178?\nAnswer: 3774534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4537\/210 + -248\/15. Let k be (-2)\/(-9) - (-520)\/(-72). Find the common denominator of d and k + 11 + 89\/(-22).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 3*(sqrt(192) + sqrt(192) + -1 + 2 + 0))**2.\nAnswer: -192*sqrt(3) + 6916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 187937683.\nAnswer: 19, 487, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-4)*4*(-56)\/7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.387*449.03.\nAnswer: -173.77461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(-1 - 1 - -1). Let g(u) = -528*u**3 + 25*u**2 + 17*u + 17. Let c(z) = 177*z**3 - 9*z**2 - 6*z - 6. Let b(k) = 11*c(k) + 4*g(k). Is b(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 329*q**2 + 329*q**2 - 657*q**2 + 2.\nAnswer: q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence reee when four letters picked without replacement from {e: 3, r: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.5, 1\/3, 12, 0.01, -2, -177?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-11967)\/21)\/(2\/(-13)). Let s = -1104 - -4815. Let a = s - k. What is the common denominator of a and -21\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**2 + 30*g - 19. Calculate h(27).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5071 is divided by 30.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -525 - -653?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1662, 1640, 1596, 1518, 1394, 1212, 960?\n\"Answer: -2*m**3 + m**2 - 11*m + 1674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**3 + 5*c + c - 2*c**3 - 60 + 3*c**2 + 62. Give y(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 2*t - 25 = 0. Suppose a - 5 = t. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (35 - 23)*2\/6. Suppose -12 = -5*w + 2*w. Suppose -5*h - 2*q + q + 10 = 0, -w*h = q - 8. Solve 0 = -r - h*r - 4*u + 20, -2*r = -d*u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q = -125 + 13. Let v(b) = -b - 10. List the prime factors of v(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1 - 6\/(-2)) + 3. Suppose 4*b = -3*c + 35, 0*c + 2*c = k*b - 15. Solve x - 3*v = -1, b*v - 1 = 3*x - x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 83867400 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ngl when three letters picked without replacement from {g: 1, h: 6, l: 7, n: 1}?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes before 9:01 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3330585ng to milligrams.\nAnswer: 0.0000003330585","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 3*d, u - 3*d - 11 = 6. Suppose 2*q = 4*c - 8, 4 = u*c - q - 9. What is the units digit of ((-154)\/21)\/(c\/(-63))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, j: 1, a: 2, u: 1, h: 1}. Give prob of picking 1 a, 1 h, and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -3*j - 6. Let k(q) = q**2 - 3*q - 2. Let z be k(5). Let g be s(z). Let x be (18\/g)\/((-6)\/(-4)). Which is the closest to -1\/3?  (a) x  (b) 0  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -164 - -160. What is the second biggest value in -1\/5, 0.04, 2\/11, z?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -3*s - 2*s. Suppose 7*x = s*x + 15. Find the first derivative of 3 - d - x*d**3 + d wrt d.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b + 6. Let h be w(5). What is the highest common factor of 7 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w + 6. Let z(x) = -x + 6. Let k(o) = -2*b(o) + 3*z(o). Let y be k(-7). Let n = y + -7. Calculate the remainder when 22 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 634246070.\nAnswer: 2, 5, 63424607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 10*y**2 - 1. Let f be a(1). Let c be -1 + f + 4 + -2. Suppose -8*u = 2*k - 3*u + 11, 9 = -3*u. Solve 2*o - 3*j - c = 0, k*j - 9 - 1 = -2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -38*i - 1\/2*i**2 + 77\/2.\nAnswer: -(i - 1)*(i + 77)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -z - 11. Let n = 12 - z. What is the greatest common divisor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 2*s = 0. Let z be ((s + -1)*2)\/2. Let l = z + 1. Solve 4*o + 18 = -3*t - l*o, 0 = -4*t - 3*o - 17 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45 - 37 - (6 - (9 - (-13 + 6))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**2 + 8*o + 8. Determine p(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -285 + 558 - 141 = -12*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -6) + -3 + -30?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4633 - 2346 - 2425)*(-3*x**3 + 3*x**3 - 12*x**4).\nAnswer: 1656*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -3*x. Let g be v(-1). Let u = 1916 + -1913. What is the first derivative of 15 + 3*i - 47*i**g + 8*i**3 - u*i wrt i?\nAnswer: -117*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 845 and 14755.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.0652 minus 2.22?\nAnswer: -4.2852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 152136 is divided by 133.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.63 times 7?\nAnswer: -4.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3b5ba5 + -a?\nAnswer: 3b5b97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 - 1011000?\nAnswer: -1011002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 663 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 356310 and 1761755.\nAnswer: 31711590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = f + 9 + 59, 3*f = -5*j + 102. Calculate the remainder when j is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-10 + 381*h + 10)*(3 + 1 - 5)*(7 + 0 + 1) to the form a + d*h and give d.\nAnswer: -3048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -102 - -31. Let c = h + 124. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(130)*2)\/sqrt(10) + sqrt(156)\/(sqrt(36)\/sqrt(3)) + -3.\nAnswer: -6 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 882\/(-36)*204\/(-7). Let c = -494 + u. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3\/2 and 1\/136554?\nAnswer: 136554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -25 + 14 + 0 + 0*f - 190*f. Is p(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 421427 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4\/3, -3\/2, 0.44977, 89?\nAnswer: 0.44977","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-3\/7)\/a**12 assuming a is positive.\nAnswer: a**(-87\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -29*n. Let x(c) = 2*c - 1. Determine x(w(z)).\nAnswer: -58*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 40012\/(-1694)*-11*(-11)\/(-2). Is 1433 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*j = 32*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2\/5)\/((-8)\/(-10)). Let c = 261353\/6 + -43660. Let l = c + 101. Sort -5, -1, b, l in increasing order.\nAnswer: -5, -1, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0 + 0)\/(4 + (-1 - 1)). Suppose -4*x - 2*d + 10652 = w, -11905 - 1412 = -5*x - 2*d. Suppose -11*h = -6*h - x. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 8 - 3*g)*(5 + 7 + 34).\nAnswer: -138*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 9) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/3 + 1125\/27. Suppose 3*f + p - v = -3*p, 3*p - 29 = -2*f. What is the third derivative of -5*t**5 + t**2 - f*t**3 + 10*t**3 wrt t?\nAnswer: -300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -362*d = 473*d - 916*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -r**2 + 1847762*r - 853556102161 = 0.\nAnswer: 923881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 162868*f - 173723*f - 325650 = 0 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 95, 188, 281, 374?\n\"Answer: 93*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -419 times -156.175\nAnswer: 65437.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -213, -428, -643, -858?\n\"Answer: -215*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5016.9 - 5017. Sort -0.2, 0, l, -0.3, 0.2 in ascending order.\nAnswer: -0.3, -0.2, l, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - -8 - 2 - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 8\/90615 and -40\/9.\nAnswer: 271845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 1180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 46 and 2599.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1806*-0.2.\nAnswer: -361.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 166*o = 189*o + 115 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 975, 2662, 5373, 9108, 13867?\n\"Answer: 512*a**2 + 151*a + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -245238, -490476, -735714, -980952, -1226190, -1471428?\n\"Answer: -245238*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 29*k**2 + 21*k - 8. Let c(d) = 58*d**2 + 41*d - 14. What is 3*c(u) - 5*f(u)?\nAnswer: 29*u**2 + 18*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (105 - (91 + 19)) + 91?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 19*x - 3. Let q(l) = -1. Let t(i) = -3*q(i) + y(i). Let p(s) = -12*s. Calculate t(p(w)).\nAnswer: -228*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4189954 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5) + sqrt(45)\/(sqrt(9)*2))*4)**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2325 + 2319 + 2323 - 6967 - 396*l.\nAnswer: -396*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.35 - 0.35. What is the nearest to q in 4, 0, -3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1536.7 and 3478?\nAnswer: -5344642.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1 plus -5589374.82?\nAnswer: -5589373.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 682.09056 minutes to days.\nAnswer: 0.473674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 32.017 + -0.017. Let l = o - 31.87. Let z = -3.13 + l. Which is the third smallest value?  (a) z  (b) 1\/11  (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = 59 - 11. Let p(r) = 10*r**3 + 12*r**2 - 42*r - 8. Let u(h) = 4*h**3 + 5*h**2 - 17*h - 3. Let w(v) = a*u(v) + 5*p(v). Factor w(k).\nAnswer: 2*(k - 2)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -2*s**3 + 210*s**2 - 659*s + 69197. What is u(105)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + -2 - (-7 - -5 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1802014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -m - 2*m**3 + m + (4*m + 0*m - 6*m)*(2*m + 2*m**2 - 2*m) + (m - 4*m - 3*m)*(m**2 - 2*m**2 + 0*m**2) - m**3 + 0*m**3 + 0*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11079049 to the nearest integer?\nAnswer: 3329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -803 + 812. Solve z*u = 7*u - 3*g + 10, 5*g - 21 = u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**5 - g**2 + 1. Let u(z) = -4*z**5 - 4*z**2 + 6. Let a(j) = -24*c(j) + 4*u(j). Find the third derivative of a(w) wrt w.\nAnswer: 480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) -1.388  (b) -3  (c) -2\/3  (d) -2\/5  (e) -1\/2  (f) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -7\/3  (b) -43.5  (c) 0.4  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -38548, -77333, -116118, -154903?\n\"Answer: -38785*q + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2640*y + 2923*y - 483981 = 0 for y.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-375)\/(-2500))\/((-9)\/(-30)))\/(1\/(-18)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 + -9. Suppose 0*d - 5*b + 19 = 4*d, 2*b = -g*d + 28. Differentiate -11*r**3 + 8 - 18*r**4 + 11*r**3 - d with respect to r.\nAnswer: -72*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) 2  (c) 0.3  (d) -84324  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4974.65 decades to centuries.\nAnswer: 497.465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10864 is divided by 265.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the first derivative of 2*l**6\/33 - 26*l**5\/55 - 50*l**4\/11 - 14*l**3\/33 + 206*l**2\/11 - 16*l + 984. Find a such that g(a) = 0.\nAnswer: -4, -2, 1\/2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -5*x - 20. What is b(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-62)\/(-20) - 3)*(-3330)\/12. Let b = -55\/2 - z. Put -0.1, 5, b in decreasing order.\nAnswer: 5, b, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/2, -2\/9, -2\/355, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**3 - 7*i**2 + 10*i - 7. Let f be n(6). Suppose 2*w = 5*x - f, w + 2*x + 2 = 7. Sort w, 4, 0 in descending order.\nAnswer: 4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/(352\/(-744))*2\/15 and -65\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1366950 times 0.5?\nAnswer: -683475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -20*d**3 - d - 28 - 11 - 22*d**3 wrt d?\nAnswer: -252*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:54 AM and 7:42 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*f**3*l + 1117*f**3 - 55*f*l + f - 36*l - 2 wrt f?\nAnswer: 18*f*l + 6702*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12204*q + 25447*q - 11636*q)*(2 - 1 + 7).\nAnswer: 12856*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4580 is divided by 216.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9 - -14. Suppose -7 - 3 = -b*z. Is -1 + 34\/z + 1 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.1 times -83778.2\nAnswer: -92156.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.104 plus 1012?\nAnswer: 1011.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence llil when four letters picked without replacement from {l: 3, i: 1, y: 1, b: 1, d: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1272, -5923, -10560, -15177, -19768, -24327, -28848?\nAnswer: -33325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -0.03, 4, 2, -3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-197)\/(-12) + (-10)\/40 and 3\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = 0, -2*x - 1 - 8 = 3*a. Let j(f) = 3*f**2 + 3*f - 2. Is 5 a factor of j(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a = 63 + 5211. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 times 13850.626\nAnswer: 193908.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6 or -0.54?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/6)\/(2\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -520 = -28*i + 23*i. Suppose 0 = -13*y - i + 598. What is the least common multiple of y and 14?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 + 116.5?\nAnswer: 351.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6794?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 2 + 5)*(6*t**3 + 0*t**3 - 13*t**3 + (-22 + 86 - 3)*(-2*t**2 - t**3 + 2*t**2)).\nAnswer: 68*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 791868 and 352?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o, 1 a, and 1 d when four letters picked without replacement from adoacoaeccda?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 37 = k, 0 = -3*w - 5*k + 8 + 1. Let q(t) = 13 - 3*t + t - 9. Calculate the smallest common multiple of q(-5) and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -368624849 to the nearest 1000000.\nAnswer: -369000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 99 + -184. Let n = 82 + j. Sort n, -2\/5, 2\/9, -10\/7 in descending order.\nAnswer: 2\/9, -2\/5, -10\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 90 - 66 = 0. Let i = m - -126. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.05, -90, 3, 5, 0.3, -0.2 in descending order.\nAnswer: 5, 3, 0.3, -0.05, -0.2, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 566013 to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 134 + -138. Let k be 3 + 1 + (-1 - -1). Sort 0, v, k in ascending order.\nAnswer: v, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 0*l + 2*l - 30, t = l - 1. Suppose -t*b - 3*v - 10 = -37, -15 = -3*v. Let i be b - (0 + 0) - 0. Solve o = i*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 15 = -3. Let n be (-14)\/8 + 1\/o. Sort 1, n, -5 in descending order.\nAnswer: 1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 87 and (-3 - 18\/(-12))\/((-16)\/6752)?\nAnswer: 18357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41091939?\nAnswer: 3, 7, 93179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 108 divide 1420200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 608*y - 152*y**3 - 255*y - 92*y**3 - 182*y - 171*y.\nAnswer: -244*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 99 divided by -33.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 0.19, -0.2, -1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/14 and -101\/2320261246.\nAnswer: 16241828722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-5 + (sqrt(76)*-3*3 - ((0 + sqrt(76) - sqrt(76)) + -3 - sqrt(76)))*1 + -1))**2.\nAnswer: 96*sqrt(19) + 4873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1141 + -1096. What is the highest common factor of x and 2385?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5630605 + -153?\nAnswer: -5630760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2341835 (base 11) to base 5.\nAnswer: -2021242201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*h**3 + 4*h**3 - 2*h**3)*(-2*h**2 + h**2 - h**2 + h + h**2 - h + (-1 - 2*h + 1)*(2 + h - 2)).\nAnswer: -6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -27648\/5 or -5529?\nAnswer: -27648\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u - 3*u - 2*b - 61, b = 5. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 125*z + 8726 - 401*z + 138*z + 141*z in the form t*z + a and give a.\nAnswer: 8726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 5  (b) 0.2  (c) 130\/119  (d) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 9*m. Let z(r) = 360*r + 0*r**2 - 357*r + r**2. Let b be z(-4). Calculate the remainder when d(b) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65747 + 64641 = 158*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*j + 144 + 192. Solve -j = -5*i - 3*s - 9, 4*i - 5 = -s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 215*0.0659.\nAnswer: 14.1685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -141\/5, 3\/8, 2\/9, 1\/43, 3 in increasing order.\nAnswer: -141\/5, -2, 1\/43, 2\/9, 3\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d**3 - 4*d**3 + 5*d**3)*(0 - 1 + 2) - 38*d**3 - 11*d**3 + 2*d**3.\nAnswer: -45*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/3, -72\/7, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/2*-4 + 4. Let w be (-4)\/(-6) + 1\/3. Let z = w - m. Put 3, 5, z in increasing order.\nAnswer: z, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -25 equal to -132\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*t*y - 71*t - 9*y**3 wrt y?\nAnswer: 4*t - 27*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9*((-1264)\/(-12) + -3)*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 98 = 2*i + 4*i - 10*o, -43 + 6 = -4*i + 3*o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -126 = 28*l - 7*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -469 + 415. Let x = -53.7 - p. Let y = 0.7 - -4.3. Put -5, y, x, 2\/3 in increasing order.\nAnswer: -5, x, 2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 199 - 183. Suppose 0 = -4*q + 8*q + 20. Let s be (-2 - 2 - q) + f. Calculate the greatest common divisor of 17 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -0.26  (b) -4  (c) -0.3  (d) 1\/4  (e) 145  (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.0083079*101\nAnswer: 0.8390979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence orar when four letters picked without replacement from {o: 2, t: 2, s: 1, r: 3, a: 1, n: 3}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 51\/(-34)*2\/(-3). Suppose -g = f - 4*r - 0, 0 = -2*f + r - 2. Let v be (26\/8 + f)\/((-102)\/(-544)). Solve -5*k = -b + 12, 4*b + v = -k + b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -80 - 2575913?\nAnswer: -2575993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 19 = t, -5*n - 12 = t + 9. Suppose -t*c - 27 = -7*c. Suppose -3*a + c = -51. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 + 90 = -22*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 66.3 + -66. Which is the nearest to -1\/2?  (a) 0.2  (b) g  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -959*n + 15339. Determine r(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 + -10. Calculate the remainder when ((-5)\/(-2) + -2)\/(2\/148) is divided by 3\/((-2)\/20*t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -27\/13  (b) 34247  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*t - 9*t + 5*d, 2*t = d - 7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-4564)*(291 + 7). Let o = 2\/163 + p. Sort -4\/17, 4, 3, o in decreasing order.\nAnswer: 4, 3, o, -4\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -284299, 4, 2\/73?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(45\/(-6)))\/(117\/(-195))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*(k**(1\/14)*k)\/k*k\/k**13*k)**(-37) assuming k is positive.\nAnswer: k**(5143\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/9*3\/2*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in -0.5, -2\/11, -0.4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + -10 - (6 - (-18 - -7)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = 5*w + l + 26, w = -5*l - 97 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 15) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 279323741.\nAnswer: 89, 3138469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 7*m - 1 + 2*m - 13*m**2 + m**3 + 3*m + 6. Let q be k(12). Let b be 21\/9*-2*36\/(-42). Sort q, -2, b in increasing order.\nAnswer: -2, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 4088 + 918. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 - -66770?\nAnswer: 66772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lpvplplpllllxlxvxl. Give prob of picking 2 l and 1 x.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 400807 is divided by 7907.\nAnswer: 5457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1486926 - 17\nAnswer: 1486909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -152 + 294. What are the prime factors of y?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-30)\/8 + 3 - 58\/(-56). Factor 4\/7*j - u*j**3 + 2\/7*j**2 + 0.\nAnswer: -2*j*(j - 2)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 752716 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j\/j**(-12))\/(((j*(j*j**(-2\/11))\/j)\/j*j)\/j))**(-26) assuming j is positive.\nAnswer: j**(-4056\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 701.6151 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**1)**10\/((h**(-6)*h*h)\/(h**(-3\/10)\/h*h)))\/((h**(-8)*h)\/h**8)**(-9) assuming h is positive.\nAnswer: h**(-1213\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 16594350 to the power of 1\/3, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 0 - 1) + 3 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2))**(4\/13) assuming a is positive.\nAnswer: a**(-8\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the first derivative of -3*t**7\/280 + 3*t**5\/40 - t**3\/3 - 3. Let l(c) be the third derivative of f(c). Find the second derivative of l(u) wrt u.\nAnswer: -54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -223, -310, -441, -604, -787, -978, -1165, -1336?\n\"Answer: 2*x**3 - 34*x**2 + x - 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 40 and 2168458744.\nAnswer: 2168458784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 3, 6721281 in increasing order.\nAnswer: 3, 4, 6721281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 45, 5, 114, -2, 7 in descending order.\nAnswer: 114, 45, 7, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4290 rounded to the nearest 100?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 200 + -287. Let u = a + 131. Calculate the least common multiple of 14 and u.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the third derivative of -h**8\/20160 + h**7\/1680 + 1049*h**6\/720 + 3*h**5\/20 + 21*h**2. Let m(q) be the third derivative of d(q). Is m(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*a**2*y - 22075622*a**2 + 117*a*y - 101*a + 1085*y wrt a?\nAnswer: 6*y - 44151244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -142 - -270. Calculate the remainder when t is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 62c (base 15) to base 4.\nAnswer: 111300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -40 - -44. Let z be (-30)\/24*(-1)\/(1\/a). Solve 0 - 10 = -z*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**3 - 4*l**2 + 2. Let p be n(4). Let 9*k**p - 6*k**2 + 2 + 0 + 5*k = 0. What is k?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = 18 + 2. Let l = g + 3. Let y(x) = 3*x**2 + 2. What is y(l)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 3 = 3*x, -5*x - 3*b = -x - 9. Suppose -x = -4*y + y. Factor -2\/3*t**4 - 2*t**y + 2*t**3 + 2\/3*t + 0.\nAnswer: -2*t*(t - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**0\/a)\/(a*a**(-1))*(a\/(a*a**(3\/20))*a*a)**7)**(-1\/10) assuming a is positive.\nAnswer: a**(-239\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1689, 1720, 1799, 1950, 2197, 2564, 3075, 3754?\n\"Answer: 4*c**3 + 3*c + 1682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4376329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -87 or -64?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 89, 2, -40, -1 in decreasing order.\nAnswer: 89, 2, -1, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:57 PM and 2:47 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 323334 (base 6) to base 8\nAnswer: 64112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 177668 times -0.1?\nAnswer: -17766.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 79306348313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 7849770023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbyyyzzznbbzen. What is prob of sequence zne?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16)\/(4\/(-22)*-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 23\/8 of a gram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -671 + 676. Let m(u) = u**3 + 5*u**2 + 2*u - 4. Let q be m(-4). Suppose k - 49 = -2*x, -a*k + 114 = q*x + 25. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 36819, 36818, 36817?\n\"Answer: -s + 36820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1228772*2\nAnswer: -2457544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1232, 2471, 3710, 4949, 6188, 7427?\nAnswer: 8666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes after 7:32 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/(42\/12)*7\/((-203)\/(-1392)).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 188 a factor of 1738094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the third derivative of -v**4\/4 + 50*v**2 - 2*v. Let f(n) = 4*n**2. What is f(r(g))?\nAnswer: 144*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**2 + 7*z - 8 + 6*z**2 - 8*z**2. Let g be o(5). Solve g - 3 = -i + l, 4*l = -5*i - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 372656 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1772 is divided by 173.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 507 and 3341.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*i + 2035 = 136*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (25 - 60 - -97) + -115.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = -3*z - 0*z + 33, w = z + 17. Let o(c) = 3*c**2 - 7*c**2 - 9*c**2 + w*c**2. Let t(k) = 6*k. Give o(t(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -48*b**2 + 96*b**2 - 61*b**3 + 18*b**4 - 8*b + 3*b**3.\nAnswer: 2*b*(b - 2)*(b - 1)*(9*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1806\/(-14)*14\/(-3). Let q be (-15)\/2*y\/(-21). What are the prime factors of 1\/8 + q\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-20)\/(-90) - (-284)\/18. Let j be (-76)\/m - 2\/8. Sort 0, j, -4 in increasing order.\nAnswer: j, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 0 + 13*l - 14*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10150, -2, -17, 73, -1, 4 in descending order.\nAnswer: 10150, 73, 4, -1, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (56\/32)\/7 + 66\/24. Let h(i) be the first derivative of 4\/3*i**s - 21 + 0*i**4 - 8\/3*i**2 + 2*i - 2\/15*i**5. Find a, given that h(a) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 232 - 232 + 25*y in the form u*y + b and give u.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -6*(-1 + -2*sqrt(396) - sqrt(396)) + 1*(-2 + (sqrt(396) + -1*sqrt(396) - sqrt(396)) + 2 + sqrt(396)*1))**2.\nAnswer: 432*sqrt(11) + 128308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (-2 + -12 + 37)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.042048222 times 9?\nAnswer: -0.378433998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 25.393 + 3.607. What is the closest to -2\/7 in 5, 1\/4, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the third derivative of -o**6\/720 - o**5\/80 + o**3 + 21*o**2. Let f(b) be the first derivative of p(b). Factor f(x).\nAnswer: -x*(x + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19 + -16 + 582\/10 - 21\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.1, -0.2, 1, 10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.163, -1\/4, 1 in ascending order.\nAnswer: -1\/4, -0.163, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(13) - (sqrt(156) - 2*sqrt(156))\/sqrt(12))**2 - (2 + (sqrt(832))**2)) + (sqrt(156)*1*1)\/(sqrt(24)\/(sqrt(4)\/sqrt(2) + sqrt(2))))*1.\nAnswer: -782 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -729 - -1268. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 4*z - 4 = 0, -5*l = -z - 0 - 22. Suppose -3*k - 7 = -r, l*r + 0 + 24 = -k. Sort 0, 3, r.\nAnswer: r, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 141*q = -84*q + 68850. What is the least common multiple of q and 108?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 95320358583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/(4\/(-8)*(-6)\/(-189)). Suppose -5*o = -12*o + c. Let j(m) = m**3 - 10*m**2 + 11*m - 12. Give j(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 297 + -122. Suppose -5*a = 2*w - 298, -3*a + w - 6*w = -c. Calculate the smallest common multiple of 8 and (-2)\/5 - a\/(-25).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 + (6526 - (-3 + 6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 575*n**5 + 14*n**4 + 1061*n**3 - 774374859*n**2 wrt n.\nAnswer: 34500*n**2 + 336*n + 6366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 694319 is divided by 3693.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.38 + 8.62. Let j = -12 + f. Let c be (1\/30)\/((-2)\/(-8)). What is the nearest to j in c, 1\/3, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by 23.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l*l**(-13\/2)))\/(l**14*l)*(l*l\/(l**(1\/4)\/l))**(-2\/39) assuming l is positive.\nAnswer: l**(-337\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -15.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -923990.13 to the nearest 10000.\nAnswer: -920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 18*z + 5. Let h be o(-4). Let r be h\/(-7) + (-6)\/(-14). Let n = 16 - r. Calculate the remainder when 15 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + (19 - (-9 - -24))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2660\/22321 - -2\/1313. Put m, -3, 2\/3 in ascending order.\nAnswer: -3, m, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19073 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 493\/153 + (-4)\/18. Suppose -w*j + 1790 + 2611 = 3*q, 4 = -q. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/(-9)*3 + 10. Suppose -4*f = -0*f. Solve -2*c = -a - 13, 3*c + l = -4*a - f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 11  (b) 9028  (c) -2\/7  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11.4 + 2.7. Let u = 8 + v. Let r = -0.01 + -4.99. Which is the closest to 0?  (a) r  (b) u  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -476 - -1524. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -3*sqrt(10)\/sqrt(5) + sqrt(128)*2)**2.\nAnswer: 130*sqrt(2) + 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Total of 8699186 and -421.2.\nAnswer: 8698764.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 26*k**2 + 4*k - 33. Let m(u) = 9*u**2 + u - 9. Give 2*j(o) - 7*m(o).\nAnswer: -11*o**2 + o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(56)\/sqrt(7) + -2.\nAnswer: -2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -80*-107\nAnswer: 8560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.9 + -0.9347. Round k to three decimal places.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 5*f - 6. Suppose -2*x + 3*g + 4 = 0, 0 = 3*x - g + f - 7. Suppose -z - x*z + 13 = u, -4*u + 7 = -3*z. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15.532 + 0.168. Let y = l - 16. What is the nearest to y in -2, -0.1, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6152616 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -57\/97  (b) -0.1  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*h + 69 - 68 = 291 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - 5) + 0 - -6 - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + -3 - (-9 + 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -2*s + 4. Suppose 4*c + 16 = 0, -a - 5*c = 2*a + 32. Let g be n(a). Let l = 11 + g. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from opjjohhohaohooophapp. What is prob of sequence hho?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 11 + 209\/(-22) + -1. Which is smaller: z or 0.006?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -1 + 0*c + 7*c - 2*c**2 - 4*c + 2*c**3. What is the tens digit of i(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 82944\/5 + 1\/5*c**4 + 84096\/5*c + 21892\/5*c**2 + 292\/5*c**3.\nAnswer: (c + 2)**2*(c + 144)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8*c - 3*c + 0*c)*(-c - c + 17*c)*(5 - 2 + 2) to x*c**2 + k*c + s and give x.\nAnswer: -825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 399 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**2 + 2*d + 2. Let h = -3 + 3. Suppose 0 = b - h*b + 2. Let f be s(b). Solve f*g = -2 + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -35974.782 - -35925. Let w = h + 50. Let m = -0.21 + w. What is m rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s = -151 - -291. Let w(o) = s*o**2 + 145*o**2 - 281*o**2 - 9*o. Is w(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1202471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.131, 2\/9, -0.14, 1.5, 1\/4 in increasing order.\nAnswer: -0.14, -0.131, 2\/9, 1\/4, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8d4d (base 15) to base 5.\nAnswer: 1424443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*g**5 + 184616*g**4 - 14971392*g**3 + 404385048*g**2 - 3640174020*g.\nAnswer: 4*g*(g - 27)**3*(g + 46235)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.02 and 0.01?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 59 divided by -59\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -204157 = -28*w + 57223 + 378504. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -50 + 108. Suppose -x = -3*r - 49. Suppose 0*b + r = 3*b, 5*b + 136 = 3*w. What are the prime factors of w?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/6*(0 + 0). Suppose s + 4 = 2*h. Solve -2*w = 5*z + h*w - 4, -2*w + 2 = 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*sqrt(1331) + 4 + 3*(sqrt(1331) + -1 + sqrt(1331))**2.\nAnswer: -165*sqrt(11) + 15979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:31 PM and 8:30 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -3\/20, 3 in increasing order.\nAnswer: -3, -3\/20, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-42)\/189 - 112\/(-18). Suppose m*z = -1422 + 4476. List the prime factors of z.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1828209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 37737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 11*1 + -2 + (1 - -5). Suppose -q*t + 8 = -22. Calculate the remainder when 7 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00027959942 to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2240 = -16*q - 4*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 333161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*d**3*j**2 - d**3*j + 34*d**3 + 2*d*j**2 - 4*d + 2*j wrt d.\nAnswer: 12*d*j**2 - 6*d*j + 204*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -74886 divided by -37443?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes before 10:15 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1029 is divided by ((-24900)\/80)\/(-5) + (-2)\/16*2.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 4*b + 5*k, 10 = b + 3*b - 2*k. Suppose -b*c = -0*c + 3. Let v be (c - 1\/2)*4. Let d(n) = n + 4. Let s(m) = -1. Calculate v*s(a) - d(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.2  (b) -2\/7  (c) 68  (d) -4  (e) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6215)\/(-55) + -43 - 94?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1110101010011111101 (base 2) to base 5.\nAnswer: 110334014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m + 2*w - 51 = m, -2*m = 5*w + 93. Let j = m + 109. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*w - 2 + w + 32*w as m + f*w and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12 + 7. Let l = 0.38 + 2.62. Let o = l + -2. What is the closest to o in 2\/5, y, -0.02?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ycdd when four letters picked without replacement from cydyddydyddyyy?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-4*1*sqrt(20) - (sqrt(20) - -2*sqrt(180)))\/((-2*sqrt(2800))\/sqrt(7)).\nAnswer: -33*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 76555 times 77\nAnswer: 5894735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 17260*v - 155342. Calculate g(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d. Let n(h) = 784282*h**2. Give j(n(v)).\nAnswer: 784282*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19110571, -19110594, -19110617, -19110640?\nAnswer: -19110663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the first derivative of -c**4\/4 + 3*c**3 + 9*c**2\/2 - 13*c - 22. What is b(10)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1290 - -1299. Solve -297*x + 288*x = z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -36.3 * -15.14\nAnswer: 549.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -659.7 and 22.2?\nAnswer: 681.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2403.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - 10*o**4 - o**4 + 2 + (2*o**4 - 2 + 2)*(-3 + 3 + 1).\nAnswer: -9*o**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1238)\/(-1238) + 399\/(-162) + (-3)\/(-2).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000514155 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4404 - 4504. Sort 3, -9, v.\nAnswer: v, -9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1330a (base 12) to base 8\nAnswer: 63372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -411615 divided by 5?\nAnswer: -82323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 2 r when three letters picked without replacement from {s: 2, r: 3, p: 3, c: 5, d: 2}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 29148, 56539, 83930, 111321?\n\"Answer: 27391*n + 1757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l + 661 - 214. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/69, 0.23, 99995 in ascending order.\nAnswer: -2\/69, 0.23, 99995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 25 + 1 = 5*y, 4*j = 4*y - 16. What is the second derivative of -5*g**3 - g + 5*g**3 + 2*g**y - g**5 wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -45\/266?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 119744169 to the nearest integer?\nAnswer: 10943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*x**3 - 78 - 19*x**3 - 3*x**3.\nAnswer: x**3 - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 28 - 28.015. Let x = -0.945 - c. What is x rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = b - 114. Let w = -64 + b. Let j(d) = d**2 + 8*d + 8. Give j(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*h**5\/5 - 1482*h**4\/5 + 4574*h**3 + 243354*h**2\/5 - 595080*h = 0. Calculate h.\nAnswer: -12, 0, 9, 19, 725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 21.53 to 0 decimal places.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z = -3*u + 23, 2*z + 3*u + 9 = 2*u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2, 411, 1331?\nAnswer: 411","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 5*f + 16 = -16, -f = 3*x - 8. Let n be (4\/(-6))\/((-10)\/75). Let k(d) = -3*d - n + d + 2*d + d. Give k(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -47 less than 1\/4456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 37717?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = f - 631, -7*y - 4*f = -10*y + 919. List the prime factors of y.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68*h = 2*h - 65940. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r + 0*r - r)*(-52*r + 52*r - 41*r).\nAnswer: 41*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ged when three letters picked without replacement from {d: 1, e: 2, x: 1, v: 11, g: 2, t: 1}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(13) - (sqrt(78)\/sqrt(6) + -3)**2) + sqrt(13) - sqrt(156)\/(sqrt(24)\/sqrt(2)))*-1.\nAnswer: -7*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-57)\/(15903\/186)*(6\/(-79))\/(-2).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 - 99. Calculate the common denominator of 45\/14 and (-1 - (-15)\/6)\/(3\/y).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the first derivative of 3*o**2 + 11. Let b(m) = 21*m**2 + 9. Let z(i) = 10*i**2 + 4. Let k(d) = 4*b(d) - 9*z(d). What is k(v(n))?\nAnswer: -216*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1424311 take away -996599?\nAnswer: -427712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 230.740264053 + -234.1402642. Let t = j + 3.4. Round t to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 7*x - 3. What is m(4)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1011*z + 313*z + 1178*z)*(-2*z + 3 - 4 + 3).\nAnswer: -5004*z**2 + 5004*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-3)*(-27 + -3). Let d = 36 - h. Does 28 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 divided by 85?\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 13914432 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -123.7418734198 and -2?\nAnswer: 121.7418734198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 - 325114117?\nAnswer: -325114122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1011111 (base 2) to base 4\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:24 AM and 7:01 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -703 in -2\/5, 16, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -3*m**2 - 120*m - 205. Let s be p(-38). Solve -9*h + 96 = s*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 7*n**2 + 13*n - 47. What is the smallest common multiple of 15 and q(3)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100 = 10*r - 40. Suppose -20*b = -13*b + r. What is the third biggest value in b, 19, 1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12016*u - 536242 = -949476 - 788366 for u.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 7*p - 45 = 3*o, -4*o = -4. Let q = 1015 - 979. Calculate the remainder when q is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/4*m + 0 - 9\/4*m**3 + 3\/2*m**2.\nAnswer: -3*m*(m - 1)*(3*m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.601 - 1.55. Let t = -122.951 - -123. Let h = f + t. Sort -4, -2, h in decreasing order.\nAnswer: h, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4176 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((4\/5)\/4)\/(((-54)\/6)\/(-18)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (1 - -7) + -3 + 2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -5*n**2. Let a(q) = 2*q - 14 + 14. Determine l(a(t)).\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000001261 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -29*q**3 - q**2 + 10*q + 20. Suppose 7*w - 8 = -22. What is the tens digit of f(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 72 - (18 + (39 - 66 - 4))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 47 + -34. Let o = b - -25. Let w = 14 + 5. Calculate the highest common divisor of w and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*(m*m\/((m\/(m**(-10)\/m))\/m))\/m)\/m*(m*m**(-5\/8))\/m)**(-11)\/((m**(1\/5))**(-18))**(-3\/22) assuming m is positive.\nAnswer: m**(51209\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 55 = -v. Let b be v\/(-66) + (-218)\/(-12). Solve 0 = -6*a + 4*a - 10, 0 = 3*r + 3*a + b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -1. Let x(n) = 4*n**3 + 3*n**2 - 4. What is 4*l(k) - x(k)?\nAnswer: -4*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 12*t + 0*t + 7*t)*(32*t**2 - 77*t**2 - 118*t**2).\nAnswer: 815*t**3 + 163*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3201560 is divided by 2593?\nAnswer: 1798","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 18628 less than 18546?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/126306 and -37\/21150.\nAnswer: 148409550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 2*z**2 + 12*z + 8. Let j be l(-5). Let v(y) = -y**2 - y - 1. Let o(q) = 3*q**2 + q + 2. Give j*v(c) - o(c).\nAnswer: -c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*o**2 - 14*o**2 + 2 - o**2 in the form u*o + r*o**2 + q and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 33012310323 + -2122?\nAnswer: 33012302201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the third derivative of -43*v**5\/30 + 56*v**3\/3 + 132*v**2. Differentiate t(k) wrt k.\nAnswer: -172*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*i**3 + 21 + 0*i**3 - 20 to the form f*i**2 + s + w*i + q*i**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 26\/6 + 3\/(-9). Find the third derivative of 3*p**3 - 5*p**2 + y*p**2 - 9*p**3 + 2*p**2 wrt p.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2496247 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 - n - 111. Let z be j(0). Suppose -5*k = u + 74, -u - 2*k - 70 - 4 = 0. Let q = u - z. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 20559, 20618, 20677, 20736?\n\"Answer: 59*m + 20500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-32 - (-45575)\/1425)\/(1\/3)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**2 + 3*w + 3. Suppose 16 = -4*j + 12. Let h be r(j). Let d = -425\/13104 + 1\/1456. Which is bigger: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -437, -503, -569, -635, -701, -767?\n\"Answer: -66*x - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1736 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14097*l**2 - 12*l**3 + 14097*l**2.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6633 + 44268 = 1158*a - 18018 + 3543 for a.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**2 - f. Let l(u) be the first derivative of -5*u**3\/3 - 3*u**2\/2 - 38. Give -3*c(d) + l(d).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**2 - 5*t - 5. Let j be g(6). Let z(o) = 36*o + 1. Is z(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3393881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the third derivative of f**5\/60 + f**4\/6 - 2*f**3 - 28*f**2. Solve q(b) = 0 for b.\nAnswer: -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 15 and 11832.\nAnswer: 59160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19 + -59\/3. Suppose r = -z - 19, -24*r + 2*z = -19*r + 88. What is the closest to r in 0, v, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12 + 2*m**2 + 2*m**2 - 2*m**2 - m**2 + 2*m**2 + 0*m**2 + (-3*m + 2*m + 2*m)*(3*m - 3*m - 2*m) as s*m**2 + t + d*m and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a = -4*j, 5*j = -4*a + 11 + 34 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -4.34 times 44.6\nAnswer: -193.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/238815 and -10\/37149.\nAnswer: 1671705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**3*(f\/(f\/(((f*f**6*f)\/f)\/f*f*f)))\/f*f)\/(f*f\/f**(2\/7)*f*f)**(-15)*((f**(-1\/2))**(-2\/5))**(2\/95) assuming f is positive.\nAnswer: f**(205214\/3325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/10 - (-41152)\/20*1. Suppose 9 = 3*s, -4*r - n = s - 14533. Suppose 0 = -5*u + 1407 + r. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0\/(-15) + -1 + -63. Let j be 240\/t + 2\/(-8). What is the units digit of 1464\/(-6)*3\/j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w + 6. Let n(v) = -5. Suppose r = 4, -3*d - 2*r - 17 = -4*r. Determine d*n(j) - 2*y(j).\nAnswer: 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v. Let a(h) = -12*h. Give a(o(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17 - -42. Suppose 9*v = 2*v - 14. Calculate the remainder when l is divided by (6\/(-9))\/(v - 177\/(-90)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/20 of a tonne?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3619 = 5*q - 4*y - 1115, 0 = q - 2*y + 502. Round q to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -15*a**2 - 178*a + 6*a**2 + 6*a**2 + 4*a**2 + 169 - 27*a wrt a.\nAnswer: 2*a - 205","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8032 times 0.115935\nAnswer: 931.18992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**2 - 42*p + 32. Determine d(10).\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -714*c + 929*c - 645 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -4040 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-20)\/180)\/((1\/2)\/(-1)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 30.3 - 29. Let c = 1 - u. Suppose -31*s - 16 = -35*s. Put s, -4\/7, c in descending order.\nAnswer: s, c, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-53)\/3 + (-550)\/(-825)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1001 (base 2) to base 9.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 77666569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1*(8\/2)\/(-16)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -5*f. Let p be a(-2). Suppose -12*g + p*g + 46 = 0. Is g != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 754 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 4220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*g + g - g)*(0*g**3 - 2*g**3 + 0*g**3) in the form a*g**2 + o*g**4 + h + i*g**3 + s*g and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -58341, -1, -41 in increasing order.\nAnswer: -58341, -41, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 8*z**2. Let l(b) = -15*b + 47*b - 8 - 18*b - 2 - 12*b. What is l(x(w))?\nAnswer: 16*w**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-45) - (-73)\/(-15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -346*q = -340*q + 72 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 39 * 1.89569.\nAnswer: 73.93191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17 - 12. Let q = -1573 - -1577. Solve m = -2 + q, -r*f - 3*m = -31 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -137 + 161. What is the smallest common multiple of 12 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*(i\/(i*i\/i**10)*i)\/i*(i\/(i*i*i*i**(-1\/24)*i))\/i)\/(i*i**11)**(1\/27) assuming i is positive.\nAnswer: i**(403\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((l*l**(1\/7)*l)\/l)\/l*l)\/l)**(2\/65) assuming l is positive.\nAnswer: l**(2\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -f956 (base 16) to base 3.\nAnswer: -10020120002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -54*h**2 + 4*h**3 - 58*h**2 + 3*h + 113*h**2 as r + g*h**2 + f*h**3 + o*h and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 50 and 4120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4  (b) 36  (c) 1  (d) 1.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 73.83041 kilometers?\nAnswer: 73830410000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 191420 divided by -191420?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16336?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7240 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 6\/1*(128\/(-72))\/8\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i*i**10)\/(i\/(i*i\/((i\/(i*((i*(i*i*i*((i**(-1\/3)\/i)\/i)\/i)\/i)\/i)\/i))\/i))))**(-24)*(i**(1\/4)\/i)\/i**(1\/8)*(i*i**0*i)**39 assuming i is positive.\nAnswer: i**(-1623\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/2  (b) 3.1  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9325202.\nAnswer: 2, 4662601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -499*z**2 + 233*z wrt z.\nAnswer: -998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the second derivative of 3*x**5\/40 - 19*x**4\/8 + 12*x**3 - 770*x. What is l in z(l) = 0?\nAnswer: 0, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -266, -1075, -2424, -4313, -6742?\n\"Answer: -270*v**2 + v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.2 + 0.6. Let h be ((-27)\/(-30) + 4\/(-10))\/(-9 - -11). Which is the fourth biggest value?  (a) h  (b) 2\/13  (c) 4  (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 27 and 1284363.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -30*x**2 - 16415*x - 16385. Let y(u) = -u**2 - 608*u - 607. Let t(o) = -2*r(o) + 55*y(o). Solve t(l) = 0.\nAnswer: -1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(1\/7))**(-2\/47) assuming g is positive.\nAnswer: g**(-2\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 14*u**4 - u**4 + u**4 + (2*u**2 + 4*u - 4*u)*(-6*u**2 - 9*u**2 - 3*u**2).\nAnswer: -22*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -36  (b) 5  (c) 28  (d) 0.4  (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3330 is divided by 71.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-9)\/2 + (-9)\/(-6). Let z = -11 - -13. Put c, z, -5 in decreasing order.\nAnswer: z, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 135 and 114021.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*x - 24*x - 28*x - 128*x**2 - 821*x**2 + 947*x**2.\nAnswer: -2*x**2 - 87*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 225*q**3\/2 + 60880470*q**2 - 16234798*q + 1082320.\nAnswer: (q + 541160)*(15*q - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 106, -1023, -4086, -10049, -19878?\n\"Answer: -161*z**3 - z**2 + z + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 2*h**2 - 2*h. Let s = 7 + -5. What is the units digit of y(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 425363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from fccffc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-5)\/8)\/(765\/918))\/(1\/5)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -133 + 1?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 34, 19, -32, -137, -314?\n\"Answer: -3*c**3 + 6*c + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the third derivative of -d**5\/60 - d**4\/24 + d**3\/2 + 34*d**2. What is a(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 8*v**2 + v - 1. Let h be g(1). Let j(k) = 2*k - 9*k + 2 + h*k. Let x = -1 + 1. Give j(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4120 - 4067. Solve -n*b - 3*z = -48*b - 22, -30 = -5*b + 5*z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69*w = 57*w + 21912. Let s = w - 300. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**3 + 10*d**2 - 8*d + 2. Determine t(10).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -123*g + 21*g + 4582 = 5*g - 1196 for g.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - -546476985.\nAnswer: 546476981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 922 + -921.995829. Round r to 4 decimal places.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 467309 - 466112 = -57*m for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in 1\/11, -17, -2.1, -1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -2*y**3 - 8*y**2 - 28*y - 11. Let v be 42\/24*4 + -15. Let a be b(v). Round a to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**3 - 4*k**2 + 3*k + 3. Let c be t(3). Let u be 10*(-2 - (-76)\/24)*c. Let g = 41 - u. Solve 0 = -2*n - g*i + 2*i + 10, -4*n + 20 = 4*i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/20)\/((-2)\/20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 3*x = -5. Let b be (-40)\/(-4*x\/6). What is the greatest common factor of 15 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 14179, 14189, 14199, 14209?\n\"Answer: 10*o + 14169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4629 is divided by 578.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uufquqqufuuq. Give prob of picking 2 f.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 240444 - -23?\nAnswer: 240500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*m + 18416 - 17426. Calculate the greatest common factor of 2211 and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -977\/5 - -196. Let h = 255\/4 - 64. Let n(u) = -u**3 - 3*u**2 - 3*u - 33. Let m be n(-4). Which is the closest to -2\/5?  (a) d  (b) h  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 31148 and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3913, 16000, 48809, 112702, 218041, 375188, 594505?\nAnswer: 886354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/(-6) + 17\/(-1122). What is the smallest value in m, 0.3, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l**3 - 3*l + 3*l + (-9469*l**3 + 135*l + 69*l - 204*l)*(2 + 2 - 2).\nAnswer: -18939*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 7*w**2 - 2*w - 17. Let q(b) = -b**3 - 5*b**2 + 7*b - 2. Let v be q(-6). Is d(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*t**3 - 22815*t**2 - 34701615*t - 17593718805.\nAnswer: -5*(t + 1521)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 84 - 248\/3. Let s = 0.015 + -5.015. Which is the fourth smallest value?  (a) i  (b) s  (c) 4  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*t + 2 - 2 - 6*t.\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14 - 1443*a - 5*a**2 - 5 + 1445*a to the form i*a + u + d*a**2 and give u.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 166*x**4 - 1 + 2 - 24*x**2 + 53*x**4 + 0*x**2 + 13*x**2 wrt x?\nAnswer: 5256*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**3 + w**2 - 3193*w + 6385. Give h(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/20)\/(3\/(-8)*2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 20 = -k, 13 + 2 = -2*d + k. Let h = 13 + d. Suppose h*i - 55 = i. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 17*j**2 + 1. Let v be k(1). Calculate the greatest common factor of 12 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.9 + 6.9. Let z = -5.794 - 0.006. Let x = r + z. Which is the nearest to -1?  (a) -0.5  (b) 0  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((8\/8)\/24)\/(2\/(-3))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r*(r\/(r**0\/r))\/r*r\/r**(3\/2)*r\/((r*(r*r*r**4)\/r)\/r*r)*r**(4\/5) assuming r is positive.\nAnswer: r**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 640 times 6?\nAnswer: 3840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 1321 = -445. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -32623, -43197, -53771?\nAnswer: -64345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aaam when four letters picked without replacement from mmaammaamm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 240906 is divided by 120453.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 4 = 5*c - 23, -20 = 4*c. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 59863 = 3*v - 5*p, -4*p = -75*v + 80*v - 99747. What is the thousands digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 - 3. Let t(u) = -2 + i + 1 - u. Let o = 7660 - 7657. Give t(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes before 11:31 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 278261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -99\/6868 and 143\/6060.\nAnswer: 103020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.9 + -13.9. Let x = k - -11. Let i be (-4)\/(-13)*1\/(-2). What is the nearest to x in i, 2\/5, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -61 + 8 - (20 + -53).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:46 PM and 4:35 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 40\/(-14)*77\/(-22). Suppose 0 = 5*t + h, 0 = 2*d - 2*t + 7*t - 134. Suppose 4*p = -2*a + 50, -5*p + d = -3*a + 26. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -3*n**2. Let d(m) = 3*m + m - 1 + 1. Give c(d(z)).\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 279049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*q - 19 + 361 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/6 + -1*(-2 - -3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.42215 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 take away 6555.5?\nAnswer: -6555.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 12\/(-16) - (-30)\/8. Suppose 25 = 5*u - 4*j - 176, r*u - 127 = -4*j. What are the prime factors of u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13133 is divided by 1744?\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + (-6 - -15 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-266)\/18 + (1802 - 1788)\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-3)\/2 - -1)*-6. Suppose 3*f + m*q - 22 = -4, -5*f - 3*q + 30 = 0. Solve v + 2*v = f for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - 3\/((-18)\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*(p*p**(-9)*p*p*p)\/p)**(-7\/6)*p**(-19)\/(p\/p**10) assuming p is positive.\nAnswer: p**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2 - 3*p - 9. Let b be v(-7). Let z = b - 59. Solve -3*f - 2 = u - 6*u, -z*f = -u + 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2066175, -2066191, -2066229, -2066301, -2066419, -2066595, -2066841, -2067169?\nAnswer: -2067591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -346509523 divided by 18103.\nAnswer: -19141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/27211 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.009462464 rounded to four dps?\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -792 by -198.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 11) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-106)\/720 - 2\/(-9). Let b(o) be the third derivative of 0*o - m*o**5 + 0 - 3*o**2 + 1\/4*o**4 - 1\/3*o**3. Determine p, given that b(p) = 0.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.05 and -25.\nAnswer: -1.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(2*sqrt(66)*1 + -2*sqrt(66)*-5)\/(-1*sqrt(96) - (sqrt(6) + sqrt(294) + 2*sqrt(294))))**2.\nAnswer: 14256\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ldtzzzlttllttttlltd. Give prob of picking 1 d and 2 z.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 200232 and 53064?\nAnswer: 147570984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 272 and 9136.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -3*u + 13. Let h be s(11). What are the prime factors of (8\/h)\/((-2)\/430)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16422 is divided by 1495.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -13129788 divided by 5?\nAnswer: -13129788\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1557 - -3710. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/7?  (a) 0.2  (b) -2\/5  (c) -4  (d) 3  (e) -76\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in two ninths of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -47161 or -47210?\nAnswer: -47161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 - -6. Let i = q + -3. Let x = 16.1 - 21.1. Which is the nearest to -4?  (a) i  (b) x  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -10\/11  (b) 5  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the third derivative of 1\/24*o**4 + 0*o + 0 + 0*o**3 + 10*o**2. Let m(i) = 5*i**2. Determine m(t(b)).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -4469, 4, -64, -1, -2 in decreasing order.\nAnswer: 4, 3, -1, -2, -64, -4469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 6 = -3*f. Let l = 8 + f. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1510, 1530, 1550, 1570?\nAnswer: 1590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.367 - -0.211. What is g rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 1\/4  (b) 0.05  (c) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 - 14. Let r(p) = -3*p**3 - p - 1. Let s be r(-1). Let w be b*(0 - (-2)\/s). Is w less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0, -4, -7, 3, 80 in ascending order.\nAnswer: -7, -5, -4, 0, 3, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (15 - (0 + 10))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4732 = 67*d + 24*d. What is the fifth biggest value in d, -1\/7, 4\/9, -4, -3\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 2*k - 16 = 0, 2*t - 4*k = 5*t + 25. Let p = t - -16. Solve 3*j - p = -3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 134.85482175 to zero decimal places.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11 and 42762203.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 6*p**3 + 4*p**2 + 4. What is g(-2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l - l - 5*u + 203, -5*l - 3*u = -460. Find the second derivative of -4*q - 55 - 44 + 290*q**2 + l wrt q.\nAnswer: 580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-15)\/(g\/g**9))\/(g\/(g**(-2\/23)\/g)*g**(-9)\/g*g*g))**(-20) assuming g is positive.\nAnswer: g**(500\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-3*6*sqrt(468))\/(((sqrt(384)*-2)\/sqrt(8))\/(-4*sqrt(48)\/sqrt(4) - sqrt(12))).\nAnswer: 270*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 20901974111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -3*m - 6. Suppose b + 2*w - m = w, 5*b + 4*w = 33. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 divided by -108.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 216, 217, 214, 207, 196, 181?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75339 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 5919 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 18492, 18066, 17638, 17208, 16776?\n\"Answer: -l**2 - 423*l + 18916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100000100011101 + -1111?\nAnswer: -100000100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 take away 0.03597?\nAnswer: -0.53597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes before 4:50 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 34789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -39*g**5\/7 - 6645*g**4\/7 + 4119*g**3\/7 + 2565*g**2\/7 = 0. What is g?\nAnswer: -171, -5\/13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 28*m**2 + 8*m - 5*m - 6*m. Is y(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:19 AM and 2:00 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56990165?\nAnswer: 5, 59, 61, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/25)\/((12 + -4)*6\/(-120))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 0 - 6 = 2*t, 5*t = 3*w + 4. Let a(y) = -4*y - 2 + 1 + t*y. Let v = -105056 - -105058. Let g(z) = -z**2 - 3*z - 1. Determine v*g(p) - 3*a(p).\nAnswer: -2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -964 + 67 = -36395*j + 36418*j for j.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 18*l**2 - 322*l + 274. Give o(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1101011 (base 2) in base 14?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 1246423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 108618 divided by -18103?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1085346kg to grams.\nAnswer: 108.5346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5280 and 26.\nAnswer: 137280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -719*p**3 + 3*p**4 + 1 - p**4 - 4*p + 0 + 718*p**3 - p**4 as w*p**2 + y*p**4 + i*p + o + u*p**3 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.97 + -0.03. Let c = 152 - 108. Suppose 6*i - c = -20. Sort x, i, 1.2 in decreasing order.\nAnswer: i, 1.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 11*n**4 + 9*n**2 - 11*n + 9. Let z(f) = 5*f**4 + 4*f**2 - 5*f + 4. Let r(m) = 4*o(m) - 9*z(m). What is the second derivative of r(l) wrt l?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3884461, -3884460, -3884459, -3884458, -3884457, -3884456?\nAnswer: -3884455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 105986, 847510, 2860088, 6779246, 13240510, 22879406?\n\"Answer: 105921*j**3 + j**2 + 74*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*v**3 + 484*v**2 - 484*v**2.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 21.7 - 22. Let n = -1.3 - o. What is the closest to 1\/3 in -0.5, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -61 by -5.\nAnswer: 61\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1013232001 (base 4) to base 2\nAnswer: 1000111101110000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the third derivative of k**4\/24 - 2*k**3 - 5*k**2 + 2*k. Give g(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*h**3 - 9*h**2 - 51*h + 1688.\nAnswer: -6*h**2 - 18*h - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -5*k**2 - 5*k + 17. What is b(8)?\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32307*h**3 - 32301*h**3 + 64605*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27352?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 9*t. Let z(j) = 20*j. Calculate z(c(w)).\nAnswer: 180*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -931957, 2, 4\/47?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (99\/5)\/(56 - (-54233)\/(-965)).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a + 40. Let g(d) = -d - 39. Let s(i) = -7*g(i) - 6*r(i). Does 28 divide s(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -33*l + 1. Let i(z) = 101 - 22*z + 186 - 286. Calculate 5*g(y) - 8*i(y).\nAnswer: 11*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 91*l + 70*l**3 - 91*l.\nAnswer: 70*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -8*y - 154 + 3*y**2 - 143 + 464 - 156. What is the remainder when v(4) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 48 - 43. Sort s, 22, -1, 1 in increasing order.\nAnswer: -1, 1, s, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 197144.\nAnswer: -3\/197144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8301\/7 - -1186. Factor -s*f**2 + 0*f + 1\/7.\nAnswer: -(f - 1)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.208669 or -897\/4?\nAnswer: -897\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(475) + (sqrt(475)*-1 - sqrt(475)) + sqrt(19))*-5)**2*-5.\nAnswer: -38000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 123708, 247169, 370394, 493389, 616160, 738713, 861054?\n\"Answer: g**3 - 124*g**2 + 123826*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 220828, 5, -8, 2 in decreasing order.\nAnswer: 220828, 5, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 49152c (base 15) to base 13\nAnswer: 956034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3\/7  (b) -6  (c) 2\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s**3 + 2*s. Suppose -4*y = 3*v - 16, -7*y + 3*v = -5*y - 26. Let b(a) = 3*a**3 + 6*a + 1. Determine y*k(r) - 2*b(r).\nAnswer: r**3 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:15 PM and 4:01 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8934618 by 7689.\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**2 + o. Let l(x) = x**3 - x**2 + x - 1. Let y be l(2). Let r be ((-2)\/y + 0)*5. Determine p(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 67293.57mg?\nAnswer: 67293570000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 768*a + 4*a**2 - 381*a - 387*a.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1053) + sqrt(1053)*4 - (sqrt(13) - (sqrt(13) - sqrt(208)))*-3)**2.\nAnswer: 42237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 230877 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the first derivative of -v**3\/3 - v**2\/2 + 2*v - 1. Let c be p(-2). Let d(j) = j**2 + 155. Is d(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 9}. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -229*d + 1992. Does 63 divide a(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 412631?\nAnswer: 449, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4390550331?\nAnswer: 3, 1463516777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 2*a**5\/9 + 518*a**4\/3 + 168218*a**3\/9 - 224434*a**2 - 20973340*a\/9 - 6262256\/3 = 0?\nAnswer: -644, -143, -6, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7954*j**3 - 2696*j.\nAnswer: 47724*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 519318?\nAnswer: 2, 3, 59, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*p = -3*b - 12*p + 43, -31 = -2*b + 3*p. Suppose -3*w = 1 - 49. Are b and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 8*i**3 - 3*i**2 + 6. Let x(k) = -9*k**3 + 4*k**2 - 7. Give -5*s(w) - 4*x(w).\nAnswer: -4*w**3 - w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/8*18\/27*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the first derivative of 18*i**4 - i**3\/3 + 3*i**2 - 17*i + 93. Is 23 a factor of t(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the first derivative of f**2 + 5. Let g be 3 - 1 - (-3 - 7). Let b(y) = -38 + 38 - g*y**2. What is m(b(d))?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**3 - 14*f**2 + 15*f - 20. Let v be s(13). Solve 9*k - v*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 5*q + 12, 5*k + 3*q + 0 = 4. What is the closest to 0.28 in k, -1\/6, -5, -0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**3 - 36*t**2 + 37*t - 57. Let m be 20*((-84)\/16 + 7). Let f be r(m). What is the highest common divisor of f and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -4*j - 3. Let t be d(-2). Let z(q) = -q. Let x(w) = -w**2 + 11*w - 1. Let i(g) = -x(g) - 6*z(g). Determine i(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/1*(-56)\/(4144\/(-1517))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2776232980?\nAnswer: 2, 5, 138811649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 257484?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:11 AM and 11:57 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (286 - 275) + (-3 + -35 - (8 + -5)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 160135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**2 + 6*c - 4. Let g be x(-3). Let w = -35 - g. Let h(k) = -k**3 - 5*k**2 - k + 3. Determine h(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 23\/3 of a decade?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 347 + -419 - (-122 - 0)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzdolvvdm. Give prob of picking 1 o and 1 d.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 996b + 6?\nAnswer: 9973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/(-18)*8172\/23835?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -106*j**2. Let i(u) be the first derivative of -u**3\/3 - 19*u**2\/2 - 5897. Determine i(t(r)).\nAnswer: -11236*r**4 + 2014*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -88 divided by 923.\nAnswer: -88\/923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:05 AM and 3:27 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -28 - -190\/7. Let u = -1492.55 - -1492.65. Which is the closest to u?  (a) -3  (b) i  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2779713031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -15 divided by -2678\nAnswer: 15\/2678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -0.2, -260 in ascending order.\nAnswer: -260, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -2*q**2 + 3*q**2 + 3*q + 0*q**2 - 3. Let i be u(2). Suppose 3*z + i = 16. Solve 0 = -3*y - z, -3*y = -5*f - 3 - 14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**(-7))**8 assuming g is positive.\nAnswer: g**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from vveeveeeveeeev?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**2 + 7*m - 2. Let g = -108 - -115. Suppose -g*a = 206 - 52. Let o be (-8)\/(-6) - a\/(-3). Determine b(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4108 (base 12) in base 4?\nAnswer: 1232120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -249 - -74?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77 = -87*t + 123 + 41 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 9 + -b9?\nAnswer: -b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16110 is divided by 199.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y\/(y*(y*y**30)\/y)))**(6\/11)*(y*y**(-9\/7))\/(y*y*((y**(-23)\/y)\/y)\/y) assuming y is positive.\nAnswer: y**(3128\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23910 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 5 = 13. Let q = 9 + j. What is the third biggest value in 4, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes after 11:45 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4754?\nAnswer: 2, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 189, 192, 183, 156, 105, 24?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*t + 6, -1 - 6 = h + 2*t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6020444?\nAnswer: 2, 1505111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**2 - 97*o + 773. Determine u(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 439 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 28\/(-63) + (-94765)\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -390, 0.4, 1, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 84 and 30.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11376 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-15 - (-3 + -13))\/(30\/(-16)*2)\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 194, 269, 236, 41, -370, -1051, -2056, -3439?\n\"Answer: -9*c**3 + 138*c + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3235610141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:11 PM and 11:44 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -682, -690, -708, -736, -774, -822, -880?\n\"Answer: -5*m**2 + 7*m - 684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*c = -27*c + 47*c - 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-457265)\/(-41340) - 11 - 8\/52 and -5\/18.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-18)\/81 + (-184)\/(-18). Let p = -7 + n. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u\/(u*u\/(u*u\/(u*u**(-4\/7))*u))*u)*u*u)\/(u**3\/u))\/((u*u**(-3\/4))\/u*u*u*u**(-1\/3)) assuming u is positive.\nAnswer: u**(-209\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 6, -3, -406.\nAnswer: -406, -3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 24 in -0.3, -2, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -487.28, -4\/3, 0.2, 8\/5 in descending order.\nAnswer: 8\/5, 0.2, -4\/3, -487.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 496394692 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-91 + (-14350)\/(-150))*(-513)\/21?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 15) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 794395 and 16682295.\nAnswer: 16682295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -0.5, 1599.5, 3\/11 in increasing order.\nAnswer: -0.5, 3\/11, 7, 1599.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.008011 to 4 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/((-1)\/(-1))*(-29)\/(-145). Which is the closest to -0.1?  (a) g  (b) 5  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 + (-9 - 4) + (-1 - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9958 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 127*n**2 + 58*n - 104*n + 46*n to the form t*n**2 + i*n + y and give t.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 306804, 613623, 920442, 1227261, 1534080, 1840899?\n\"Answer: 306819*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 75650 - 4*l**3 - 12*l - 37823 - 2*l**4 - 37826 - 11*l**3 to p*l**4 + u*l**3 + x + r*l + v*l**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -m**2 - 7*m**3 + 155 + m - 155 in the form x*m**2 + f*m**3 + u + v*m and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 26*b*p**2 - 93*b*p + 4*b - 75 wrt p.\nAnswer: 52*b*p - 93*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**2 - 10859367*g.\nAnswer: 3*g*(g - 3619789)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - 15 = 0, 5*y + 63 = -3*l + 48 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 - 26*x**2 + 35*x - 921. Give o(26).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 330\/(-363) + -2 + (-1582)\/(-385) - (-4)\/10. Find w, given that 0 - i*w**2 - 2*w**4 + 0*w - 2\/5*w**5 - 16\/5*w**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 5794336, 11588670, 17383004, 23177338, 28971672, 34766006?\n\"Answer: 5794334*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 7*n - 44. Suppose 0 = -n*x - 4*x + 664. Suppose z - x = -2*z + 4*o, 5*z + 4*o = 117. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -26 - -39. Let x = -14 + m. Which is smaller: x or -1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -12*u**2. Let y(f) = -6*f**2 - f + 1. Let a(k) = 30*k**2 - 2*k + 2. Let w(o) = a(o) - 2*y(o). Determine i(w(d)).\nAnswer: -21168*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 80995823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*b**(-12\/7)*b))**(-41)\/((b\/(b**14\/b)*b)\/b**(3\/7)) assuming b is positive.\nAnswer: b**(-125\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7 - -0.673.\nAnswer: -6.327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:46 PM and 11:52 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 482 + 364*j**3 - 365*j**3 - 562 - 736.\nAnswer: -j**3 - 816","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*x - 27 + 27 to k*x + t and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - m = -3*u - 3, -3*u + 5*m - 7 = 0. Let n be u\/5*10\/(-4). Let y = -1.478 + -3.522. What is the closest to -0.1 in -0.4, n, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - -17 - (260 + -208)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 46, 15, -48, -143, -270?\n\"Answer: -16*x**2 + 17*x + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-24)\/14*(-42)\/18 - 3. Let l = -1.09 + 0.09. Put l, z, 3, -0.1 in increasing order.\nAnswer: l, -0.1, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 4*j - 5*j + 1 - 1. Let p(d) be the second derivative of d**6\/720 - d**4\/12 - 2*d. Let s(f) be the third derivative of p(f). What is s(y(v))?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(55)\/(-1*sqrt(5)) + (sqrt(99) + (sqrt(99) - sqrt(99)*-1) + sqrt(99))\/sqrt(9)) + 4)*1.\nAnswer: 4 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 55789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(304) + 0 + 5*sqrt(304))**2.\nAnswer: -96*sqrt(19) + 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**3 + 13*x**2 - x + 18. Let n be k(13). Let w be -7 + n + (-2)\/6 - -2. Sort -2, -3\/4, w, 5 in decreasing order.\nAnswer: 5, w, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3316)\/56 + (-3 + 0)*203\/(-2842)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 times -8.04?\nAnswer: -281.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -947 or -1006?\nAnswer: -1006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1244948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -1213.\nAnswer: -1\/1213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-6)\/8)\/(2847\/584). Which is the biggest value?  (a) 57  (b) g  (c) -0.5  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v**3 + 35*v**2 + 18*v - 154. List the prime factors of y(33).\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from rchvyhcyvyvrryy.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*u = -49*u - 40 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 48\/1216*(-32)\/(-12)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-2) + 803\/1936*-8?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 104555367 and 1764?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:40 AM and 4:54 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + (-4 - -5 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 13, -0.2, 2.4, 0, 36, 2\/5?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -2*(-1)\/((-204)\/(-8)). Are -1 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5940, 5946, 5936, 5910, 5868?\nAnswer: 5810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 351 - 349 = 0. Suppose -3*v = 15, 0 = f - 4*f - 4*v + u. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.2542268 rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -24, -2, 5 in ascending order.\nAnswer: -24, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-126)\/36)\/(3\/12). Is 2780 - (a - -12 - (-6 + 1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 + -6 + (6 - (1 + 12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 13, -492 in ascending order.\nAnswer: -492, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -17*z**3. Suppose -t - 8 = -2*t. Let f(o) = 6*o**3. Give t*f(k) + 3*x(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -116 + 121. Let j = 0.18 + -0.18. What is the closest to 2\/7 in 1, j, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -55159b7 - 0?\nAnswer: -55159b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 179, 0, -1 in descending order.\nAnswer: 179, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2106537.\nAnswer: 3, 702179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 14 + 0)*(-3*j + 3*j + 3*j) + (-6 + 3 + 2)*(-j - 2*j + 2*j) + 0 + 0 - j + (-3 + 2 - 1)*(0*j - 2*j + 0*j) to the form c + q*j and give q.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**3 + 5*t**2 - 4*t + 5. Let h = 16 - 12. What is p(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17655 and 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 201.5 + -2.9761731.\nAnswer: 198.5238269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = 5*d - 5*a, 0 = -0*d - d + 3*a + 8. Let v = -228 - 356. List the prime factors of d\/(-33) - v\/6.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 + -2 + -16 - 16.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1940 + 1961. Solve -56 = 7*w - f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4896733 is divided by 1192?\nAnswer: 1189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (75\/20 - 2)\/((-7)\/(-28))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 257 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/3, 0.01, 5\/4, 2\/5717?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, 65, 129, 199, 275, 357?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 472108.7l in millilitres?\nAnswer: 472108700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 118922612?\nAnswer: 2, 29730653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4615, -9450, -14285?\nAnswer: -19120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.8 less than -1176.842696?\nAnswer: -1171.042696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57268305.\nAnswer: 3, 5, 1272629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, -1, -727 in descending order.\nAnswer: -1, -13, -727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g + 1. Let k = -3 - -2. Let d(b) = -b - 2. Let c be d(k). Let f = c + -5. Let m(o) = 7*o - 7. What is f*s(h) - m(h)?\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6030?  (a) 2  (b) 1  (c) 12  (d) 5  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = b + u, -2*u - 7 - 15 = -2*b. Suppose 3*y = -3*p + 15, 3*y = b*y + 2*p - 10. Solve y = -2*a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.21196 - 0.21210951. What is l rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11111101 (base 2) to base 16\nAnswer: fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**2 - 10*x + 10. Let z be h(9). What is the biggest value in z, 0.3, -2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(475) - sqrt(475)) + sqrt(190)\/(sqrt(10)*-2))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lllz when four letters picked without replacement from {z: 5, l: 7}?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -5*q - 62. Determine y(15).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 24365643 (base 7) in base 12?\nAnswer: 894259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b = 3*m - 11, -2*b + 2 = 3*m - 5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 593317 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 93 a factor of ((-284)\/(-20) - -1)\/((-12)\/(-1440))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -165*z + 165*z - 878*z**2 + 2385*z**2 in the form v*z + c + x*z**2 and give x.\nAnswer: 1507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.03 + -0.03. Let n = g + -0.24. Which is the third smallest value?  (a) -3  (b) n  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-seven halves of a litre in millilitres?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 11 and -3.81.\nAnswer: -41.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the third derivative of -1\/3*p**3 - 91*p**2 - 5\/24*p**4 + 0 + 0*p. What is d(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 6 + m - 3*m)*(31*m + 13*m - 13*m)*((4 - 3 - 3)*(1 + 2*m - 1) + 5*m - 4*m + 0*m).\nAnswer: 186*m**3 - 186*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.071 * 1433.\nAnswer: -101.743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/4 in 1\/5, 0.21, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k = -12, 3*i + 4 - 28 = -3*k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1630753189 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*j**3 + 15*j**3 + 7*j**3 - 9*j**3.\nAnswer: 36*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (19\/(76\/170))\/((-1)\/(-2)). What is the greatest common divisor of n and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(-5)*-1*(-4 + -1). Suppose -6*h = -4*h. What is the derivative of h - i*v - 3 - v wrt v?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (14\/(-12) - -1)*-222 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 + 81 = 4*k + 3*m, 2*k + 2*m - 50 = 0. Solve 5*b = -3*l - 10, -l + b - k = -14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3292358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 - 2.92. Let b = z - 0.08064. What is b rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 494143 divided by 26?\nAnswer: 38011\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 5*j - 10. Let o be c(3). Suppose -5*p = -o*m + 10, 2*m + 3*p - p = -12. Let g be -9 - -9 - m*1. Solve g*x = 6*x - 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) 0.1  (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -20*l + 2. Let s be z(-1). Is 11\/s - 1\/(-2)*61 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 2*q - 3. Suppose 0*i = -5*i. Let j(p) = i + 2 + 7*p - 9*p. Let m(y) = 3*j(y) + 2*v(y). Let a(n) = 5*n. What is a(m(u))?\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1014)\/(-18) - 1\/(-1). Let h = 58 - w. Let d = -0.12 - -5.12. What is the biggest value in d, h, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -33\/265 and 1\/512775.\nAnswer: 512775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 104, 112, 134, 176, 244, 344, 482?\n\"Answer: y**3 + y**2 - 2*y + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 337687215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 - 43*b**2 + 1105*b + 443. Calculate k(-61).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2287 is divided by 743?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v + 6. Let a be k(-3). Suppose 2*n - n - 18 = 0. Suppose 5*q = n - 13. Solve -4*w = 4*r + 7 - a, 0 = -2*r - w + q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 - 10069185.\nAnswer: -10069201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -216739\/2 or -108371?\nAnswer: -216739\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x. Let j(n) be the third derivative of 14 + 0*n - 1\/24*n**4 + 0*n**3 - 2*n**2 + 1\/5*n**5. Determine j(y(f)).\nAnswer: 12*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -49670, -99459, -149248?\n\"Answer: -49789*l + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the third derivative of -i**4\/24 - 2*i**3\/3 + 13*i**2. Let g(v) = -v - 4. What is 3*g(a) - 4*u(a)?\nAnswer: a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the second derivative of 175*d**4\/12 + 7*d + 45. Let s(f) = -4*f**2. What is a(s(g))?\nAnswer: 2800*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*v + 8320 = 58*v - 9302. Is v a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-4)\/(-5))\/((-1)\/(-5)). Suppose 0 = -5*q + 427 - 862. Let z = q - -119. Calculate the greatest common divisor of z and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/(-720)*60*15?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8338774 by -24.\nAnswer: 4169387\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the third derivative of -f**6\/120 + f**5\/20 + f**3\/3 - 2*f**2. Let n(s) be the first derivative of c(s). Factor n(a).\nAnswer: -3*a*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.2  (b) -5  (c) -2\/7  (d) -3\/8  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 + 131?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-8)*i**(-2\/27)*i)\/(i**(-2))**(-1\/17) assuming i is positive.\nAnswer: i**(-3301\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*q**3*y**2 - q**3*y - 2843*q**3 + 54*q*y**2 wrt y.\nAnswer: -4*q**3*y - q**3 + 108*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -107*f - 115*f = -231*f - 36 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**1)**(-4\/13)\/(b\/b**(-2\/5)*b*b**5)*(b**(-5)\/(b\/(b*b*b*b*b**(1\/2)*b*b*b)))**(-35) assuming b is positive.\nAnswer: b**(-7827\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 5*l**2 - 141949*l - 21*l**4 + 7*l**4 - l**3 + 141947*l as q*l**2 + i*l**4 + h*l**3 + p + f*l and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**3 + 5*v**2 - 2*v - 3. Suppose 3*a = 3*w + 6, a - 2*a - 4 = -3*w. Suppose a*h - 6 = 3*h. Determine g(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 57375165, 114750326, 172125487, 229500648, 286875809, 344250970?\nAnswer: 401626131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*h + 2 + 12 = 0. What is the least common multiple of (-11 - -20) + (-4 - 2*h) and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2566, 4905, 7244, 9583, 11922, 14261?\nAnswer: 16600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-8)*i*i*i*(i\/i**(-1\/7))\/i)**(-13\/6) assuming i is positive.\nAnswer: i**(117\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 103 - 9. Let t(o) = 31*o**3 + 4 - g*o**3 + 45*o**3 + 48*o**3 - 3 - o. Determine t(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rbf when three letters picked without replacement from frbfzubrbufffffbfrf?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4255*m**3 + 7*m - 7*m + 4245*m**3.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0132986 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 10, z: 2, n: 3}. Give prob of sequence aa.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 202, 401, 600, 799, 998, 1197?\n\"Answer: 199*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**3\/21 + 7726004*x**2\/21.\nAnswer: 2*x**2*(x + 3863002)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g. Let n(p) = -3*p. Let u(x) = -2*n(x) - 5*t(x). Let c(y) = 8*y**2 - 29*y - 9. What is c(u(k))?\nAnswer: 8*k**2 - 29*k - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -y**3 - y**4 + y**3 + (y**4 + 0*y**4 - 2*y**4)*(1 + 1 - 1) + y**4 - 2*y**4 - 17*y**4.\nAnswer: -20*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - r + 0)*(-6*r**2 + 2*r**2 + 3*r**2)*(-2 - 2 - 2*r**2 + 23).\nAnswer: -2*r**5 + 19*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -2*h**2 - 246*h - 685. Is 87 a factor of n(-100)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 4, b: 1, e: 1, n: 2, x: 2}. Give prob of sequence nex.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -8*c + 93. Let p(x) = 10*x - 95. Let s(r) = 3*p(r) + 4*q(r). Is 3 a factor of s(27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 52 and 51959076.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2720503424\/7*g - 7365984\/7*g**2 - 376789724224\/7 - 4\/7*g**4 + 8864\/7*g**3 = 0 for g.\nAnswer: 554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 943092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 724 is divided by 228.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 682574176.\nAnswer: 2, 21330443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**2 + 10*t - 19. Let b be z(-12). Let o(q) = 35*q - q**2 + 12 - 32*q - b. Determine o(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**2 + 5. Suppose -k = 3*t + 11, -k + 0*t + 4*t + 3 = 0. Let b(j) = 1. Let z(m) = k*b(m) + l(m). Let i(v) = 15*v. Give i(z(u)).\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -74 + 70. Let b be (42\/(-28))\/(2\/k + 1). Let u(j) = 6*j + 2. Determine u(b).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-600)\/500*((-3)\/1 - (-4 + 391)) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**3 + 4*c**2 + 3*c + 2. Let k be b(5). Suppose 120 = -14*a + 78. Suppose d = -20 + 15. Put d, a, k in decreasing order.\nAnswer: a, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**2 + 18*u + 30. Let k be p(-18). Let h be (-2)\/(-5)*k\/102. Which is the closest to h?  (a) 3\/2  (b) 0  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 57 = 3*k - 4*k, 2*w + 4*k + 28 = 0. Let d = -1 + w. Sort d, 4, -8, 1.\nAnswer: d, -8, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 8\/5, 2, 3\/8, -1.7?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11819659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 917 + 113 = 0. Suppose -y + 61 = -5*f. Solve 2*k = -5*w - 2*k - 1, f = 4*w - 4*k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20775 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -8*x**5\/5 + 297*x**4 - 63826*x**3\/5 - 491088*x**2\/5 + 1004544*x\/5 + 442368\/5 = 0.\nAnswer: -8, -3\/8, 2, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3341.\nAnswer: 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 5) in base 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 25, 39, 53, 67?\n\"Answer: 14*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -3*g + 1 + 4, -5*g + 19 = i. List the prime factors of 3\/(3\/113) + g.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 2*j**2 + 93*j + 2545. Give z(-36).\nAnswer: 1789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 2*r = 18, -h - 4*r = h + 6. Suppose 0 = t + 3, -2*t = -4*k - h*t + 69317. What is k rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + 2082 = 4*l + 2150, -45*l - 897 = -d for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 74.82723l in millilitres?\nAnswer: 74827.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 813*z - 4. Let x(u) = -815*u + 3. What is -3*r(i) - 4*x(i)?\nAnswer: 821*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17127 = -80*r + 91*r. Let h = -665 + r. List the prime factors of h.\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (53\/(-53))\/(-1*1\/24) and 2 - (-45 + 12 - 5)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/4*c**2 + 2798929\/4 - 1673\/2*c.\nAnswer: (c - 1673)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 58365 to the power of 1\/2, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 74 + -72. Let m(q) be the first derivative of -1\/2*q**i - 1 + 0*q. Calculate m(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 2*x + 5 = 0, 5*x - 3*x - 17 = -3*t. Suppose 0 = 3*r + u - t*u + 18, 12 = -2*r - u. Does 2 divide (0 - -1) + (-12)\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 27*f + 12. Let q be ((-36)\/15)\/((-120)\/100). Calculate l(q).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i**2 + 0*i**2 + 3*i**2)*(-2*i**2 + 0*i**2 + 0*i**2) - i**4 - 1 + 1 + 2*i**3 - 7*i**4 - 2*i**3.\nAnswer: -10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -37643023 or -37643029?\nAnswer: -37643029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 756872 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.74 - 1.6. Let k = t + -0.5. Let v = k - -0.3583. What is v rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**2 + 17*i - 198. Let g(t) = t**3 - 13*t**2 + 20*t + 37. Let x be g(11). What are the prime factors of n(x)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 336084247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**3 + 2*j**2 + 14*j + 35. Let s(i) = 3*i + 2. What is -q(m) + 5*s(m)?\nAnswer: -m**3 - 2*m**2 + m - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 1  (b) 797  (c) 2  (d) 0.1  (e) -272\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -2*q**3 + q**2 + 5*q - 10. Let p be i(3). Does 12 divide (-2754)\/(-90)*p\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21 + 0 + -1 + (-11 - -9) - 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -46 + (41 - (-9 + 9)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*t - 5 + 23. Suppose -f + 2*d - d = -8, 2*f - 20 = -t*d. Let l be (-54)\/(-10) - (-8)\/(-20). Solve f = -l*u - 11 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2\/25, -3, 1\/4 in ascending order.\nAnswer: -5, -3, 2\/25, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 77439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11840 and 5.\nAnswer: 11840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -2*w + 4. Let o be s(-8). Suppose 4*a - o = 48. What is the remainder when 49 is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, -82, -0.1, 1454?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1427 a factor of 100888900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from glfbggbboxo. Give prob of picking 1 l and 1 o.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 10\/27 and -46\/1167?\nAnswer: 10503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 - -4. Let h be 6 - (c + (-1)\/1). What is the third derivative of -2*a**6 - a**2 - a**2 + 2*a**h + a**6 wrt a?\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 13*k**3 + 6. Let g(l) = 12*l**3 + l + 5. Let b(z) = 5*d(z) - 6*g(z). What is the second derivative of b(j) wrt j?\nAnswer: -42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.4  (b) -3\/5  (c) -30\/11  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the third derivative of a**5\/30 - 159*a**2. Let u(g) = 7*g**2 + 1. Calculate k(u(s)).\nAnswer: 98*s**4 + 28*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 - 10445?\nAnswer: -10448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 55 + 77 = -2*y, 12*q + y = -121 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 6b - 24?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4609 - 1978. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 185917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2217, -2218, -2219, -2220, -2221?\n\"Answer: -f - 2216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r**2 + 0 + 0 + (-4*r + 13 - 13)*(1 - 5 + 0)*(-3 + 0 - 9)*(-2*r + 0*r + 0*r).\nAnswer: 386*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**3 + 19*h**2 + 30*h + 558. Determine n(-19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1120220 - 1200222?\nAnswer: -10002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-one halves of a week in hours?\nAnswer: 5124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t = b + 36, -7067*b - 37 = -7065*b + t for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3fe (base 16) in base 8?\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -4*r**3 + 4*r**2 - r - 1. Let y be h(-3). Suppose y = 6*g - 28. Calculate the highest common factor of g and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 277 is divided by 32?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 326 + -794. Let a = -4208\/9 - m. Let 0 - 2\/9*r**2 + 2\/9*r**3 - a*r = 0. What is r?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/((-6)\/5))\/(10\/(-30)). Suppose -j*m + 16*m - 6578 = 0. Calculate the remainder when m is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 94614540?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4744 - -300?\nAnswer: -4444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2044 + 1131 - 3*f - 1022 + 13*f.\nAnswer: 10*f + 2153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 100488?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c**2 - 15*c - 7666. Determine x(-80).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 2*y - 170 = 0. Let a = y - -319. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*k - 34*k + 22*k**2 + 14*k + 5*k + 4*k.\nAnswer: 22*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 95093142.999365 - 95092929. Let q = 214 - k. Round q to five dps.\nAnswer: 0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 28700000 = -5*h, -3*h - 3*j + 28700000 = 2*h. What is h rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = y - 2*h - 3 - 2, 12 = -4*h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 214453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {q: 6, v: 2, r: 3, y: 1, t: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 114 = -9*k, 21*k - 17*k = -5*b + 70. Calculate the least common multiple of 2*(-25)\/6*-3 and k.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 2987504*g + 32. Let z(s) = 7*s - 106. Let h be z(14). Let f be u(h). Round f to the nearest 1000000.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 120990.\nAnswer: 2, 3, 5, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -217, -457, -697, -937, -1177, -1417?\nAnswer: -1657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 + 13*l**2 + 15*l + 37. Let t be g(-12). Put 5, 2\/9, t, 1\/7 in increasing order.\nAnswer: 1\/7, 2\/9, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*a - 26*a - 33*a)*(-a**2 + 48*a**2 + 34*a**2) - 3*a**3 + 0*a**3 + a**3 - 1 + 2*a**3 + 1 + (0*a + 2*a + 0*a)*(3*a**2 + 0*a**2 - a**2).\nAnswer: -3803*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, x: 2, k: 8, d: 3, w: 3, h: 1}. Give prob of picking 1 w, 1 h, and 1 v.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 4, 0.3, -87\/4, 0.441, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*m**2 - 17*m**3 - 4*m**2.\nAnswer: -17*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12288 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3 - -15)\/(-12))\/(1\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 200*m**2 + 1 - 36*m**2 + 2*m - 2*m + 1 + 5*m.\nAnswer: 164*m**2 + 5*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 774*r + 1483 wrt r.\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8875 or -8878?\nAnswer: -8878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 610767761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i - 428 = -131*v + 182*v, -4*i + 2*i + 3*v + 16 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1112, 4402, 9882, 17552, 27412?\nAnswer: 39462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1177 + 850. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1780801, -7123216, -16027235, -28492858?\nAnswer: -44520085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 172057, 344194, 516523, 689140, 862141, 1035622, 1209679, 1384408?\n\"Answer: 16*u**3 + 172025*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3\/((-21)\/(-26)) + 46\/161. Solve -z*j - j = 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32\/7*q**3 - 148\/7*q**2 - 162\/7*q - 8 + 2\/7*q**5 + 12\/7*q**4 = 0. What is q?\nAnswer: -7, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -619 - 6?\nAnswer: -625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 7 = -j - 1, 5*j + 5*p - 80 = 0. What is the greatest common factor of j and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*w + 2 = -11*w. Let y(c) = -36 - 33*c - 56 + 93. Calculate y(w).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 69*l + 1867. Let w be n(-27). Let y be (2\/(-4))\/(1\/(-154)). Suppose 0 = -x, -b = w*x - y + 6. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5 + 0. Let o = -14 - -16. Let m = 0.2 - 0.2. Which is the closest to m?  (a) o  (b) d  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(176))**2*3 + (sqrt(176) + -1 - sqrt(176))**2*4 + (sqrt(1331) - (sqrt(1331) + 1))**2 + ((sqrt(396) + 1)**2 - sqrt(11)).\nAnswer: 11*sqrt(11) + 2514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 78 = -3*z, 3*d + 0*z = -z + 52. What is the lowest common multiple of 1*3\/1 - -1 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 44 and 12108104?\nAnswer: 133189144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 2*f**2 + 4*f + 2. Let j(y) = y**2 - 6*y + 4. Let l be j(6). Suppose 9*d = l*d - 20. Is 6 a factor of t(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 (base 13) in base 11?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 270 and 5990.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**3 + 8*y**2 - 5*y - 9. Let q be r(7). Suppose -2*o - 1 = -q. Calculate the highest common factor of 6 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20103, -20121, -20149, -20193, -20259, -20353, -20481, -20649?\nAnswer: -20863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.8 + -0.8. Let q(s) = -s**2 + 13*s + 23. Let r be q(14). Let p(w) = -3*w + 23. Let u be p(r). Which is the closest to 1?  (a) u  (b) t  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in -4, -0.5, 1, 52, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -8*b**5\/7 - 10*b**4 + 1296*b**3\/7 + 15088*b**2\/7 + 32960*b\/7 + 2400 = 0.\nAnswer: -10, -2, -3\/4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) 0.5  (c) 777273\/4  (d) 2\/15  (e) -5  (f) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the second derivative of -5*o**3\/6 + 8*o**2 - 3639*o. What is w(-8)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the second derivative of d**4\/3 - 4*d**3\/3 - d**2\/2 - 17*d. Let c be b(5). Let n = c + -52. What is the remainder when 27 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-7 - 1 - -2) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 13*l + 86. Let i(c) = 12*c + 85. Let b(a) = 6*g(a) - 7*i(a). Let x be b(-13). Which is greater: x or 8\/43?\nAnswer: 8\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 16200 = -h, -4222 = -5*o - 3*h + 16011. List the prime factors of o.\nAnswer: 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 304\/3 - 100. Let o = -4.8 + 0.8. Let i = -18.5 - -19. Which is the closest to 2?  (a) o  (b) i  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10 + -5. Let c = -3 - -2.6. Put 3, x, c in ascending order.\nAnswer: c, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a factor of 1324255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + 2*s**2 + 3 - 5 + s**3 + s**3 to o*s**2 + w*s**3 + g*s + q and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 12 + 3*l + 6*l - 7*l. Let m be u(-7). Let b be (-32400006)\/(-12) + 1\/m. What is b rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2478261179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:35 AM and 3:04 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -283 + 286. Let s = -32 + 19. Sort 4, o, s.\nAnswer: s, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -18, 3, 42, 105, 198?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 731\/52 + 4701\/(-81484)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -5\/4, -0.99, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -1\/12, 7, -2\/4333, -23?\nAnswer: -2\/4333","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/36*(-23)\/((-1518)\/(-90))*-4.\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 1 v, and 1 e when three letters picked without replacement from ewewiviiieeeew?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2050 - -215?\nAnswer: -1431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.06?  (a) -2\/7  (b) 971410  (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the first derivative of 9*t**5\/5 - 3*t**4\/4 - t**3\/2 - 40*t - 28. Let v(p) be the first derivative of a(p). Find the third derivative of v(x) wrt x.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -824*y**2 + 824*y**2 + y**3 - 19*y**4 - 11*y + 8*y - 1 in the form l*y**2 + i*y**4 + g*y**3 + z*y + n and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the second derivative of 5*g**4\/12 + 7*g - 1. What is m(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14, 7, 66, 181, 370, 651, 1042, 1561?\nAnswer: 2226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -7*l - 16*l + 27*l - 3. Let q(w) = 7*w - 5. Let o(c) = -c**2 + 8*c + 12. Let u be o(9). What is u*q(n) - 5*g(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 7566702 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -11110000101011110 (base 2) in base 6?\nAnswer: -2350302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the first derivative of 3*l + 1 + 3\/2*l**2. Is a(7) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00054184 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 4470026*o**4 + 21*o - 4470025*o**4 - 23*o + 396*o**2 + 2*o**3 as w*o**3 + n*o + r*o**4 + g + x*o**2 and give x.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 12\/(-48) - (-89)\/4. Suppose 0 = -5*h + x - 2. Calculate the remainder when 11 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.756184 to three dps.\nAnswer: 7.756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 94792.47ng to grams.\nAnswer: 0.00009479247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/4?  (a) -2\/9  (b) -2  (c) -3  (d) 2  (e) 13\/2276  (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 450 and 93375.\nAnswer: 186750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum -7.82 and -777542320.\nAnswer: -777542327.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -3*m**2. Let a(w) = -1500*w**2 + 0 + 1498*w**2 + 8 - 4. Give a(n(i)).\nAnswer: -18*i**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -5*v + 13, 2*v + 4*z + 3 = 5*v. Let u = v + 1. Let a(r) = -u - r - r + r. Give a(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y - 20 = y - 4*l, 4*y - 5 = -l. Suppose y = 12*u - 8*u - 812. List the prime factors of u.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -59, -47, 19, 187, 505, 1021?\n\"Answer: 8*p**3 - 21*p**2 + 19*p - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10110110010010011011100 (base 2) to base 11.\nAnswer: -340a843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 4 + 20)*(2*a + a + 0*a)*(3*a**2 - 1 + 1).\nAnswer: 261*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-16)\/(-28) - 616*(-15)\/(-11025).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1261 + -566. What is the greatest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/(-18))\/((-7)\/2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -427 take away -0.3051193?\nAnswer: -426.6948807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 + 5. Let c be (-5)\/5 + -1 + m. Let r = 16 + c. Calculate the remainder when 30 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**3 + 7*k**2 - 5*k - 2. Let h(w) = -w**3 + 6*w**2 - 7*w - 2. Let c be h(4). Suppose u - c = -2*n - 2*n, -n = 2*u - 11. What is x(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 24112.823 - 0.54.\nAnswer: 24112.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -131 + 133 - (1 - -9) - -16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-19)\/(-10) + 2\/(-5). Let i = 198 + -188. Suppose 2*p + 3*b = i, 42*b - 4 = -4*p + 44*b. Sort 1, 3, x, p in descending order.\nAnswer: 3, p, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2*x + 0)*(-x**2 + x**2 + x**2 + x**2 - 2*x**2 - x**2 + (-4*x + 5*x - 3*x)*(7*x - x - 2*x)).\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 24, 84, 252, 582, 1128, 1944?\n\"Answer: 9*a**3 - 3*a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 divided by -20098?\nAnswer: 15\/20098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*z**3\/4 - 27*z**2\/4 + 15*z\/4 + 27\/4 = 0.\nAnswer: -9\/5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-three fifths of a gram in milligrams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(500)*1)**2 + -2*sqrt(500)*2 + (1*(-4 + sqrt(500))*-2)**2.\nAnswer: -360*sqrt(5) + 20064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -128181 + 1412505\/11. Is l greater than 229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in u + 3*u - 4*u + 40*u**3.\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -7*f**2 + 163*f + 1121. Calculate d(29).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1471955 is divided by 85.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-791)\/(-5) + 6\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -1 - 102*g + g**3 + 80*g**2 + 108*g - 87*g**2. What is the remainder when 286 is divided by k(7)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 4*r**3 - 228*r**2 - 532*r + 3540 = 0.\nAnswer: -5, 3, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10233 + 312230213?\nAnswer: 312301112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 4*y = -7, -10*y + 6*y = -8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 515 and 335.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the second derivative of 13\/3*n**3 + 0*n**5 + 0 + 17*n + 0*n**2 + 0*n**4 - 11\/30*n**6. What is the second derivative of d(f) wrt f?\nAnswer: -132*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/1*5\/(-10). Let z(v) = -3*v**3 + 2*v**2 - 4. Let m be z(l). Suppose -20*a - 38 = -418. Calculate the greatest common divisor of m and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -41266901416076 and -0.2.\nAnswer: -41266901416076.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i - 25 - 30. Suppose 3*c = 2*k - 6, -k - 3*c = 4*k + 27. Let h = i - k. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2460000 rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3633 and 4746?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 42 - 24. What is the tens digit of x*(0 + (-4 - -8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22736 is divided by 1567?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 264\/60 - 1*4. Put -33, -1, p in increasing order.\nAnswer: -33, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in seven halves of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.1 + -0.1. Which is the closest to u?  (a) 0.04  (b) 2\/19  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -f**5 + 10267*f**4 - 1428311*f**3 + 5518241*f**2 + 4346520*f - 24970716 = 0.\nAnswer: -2, 3, 137, 10126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 7 = -18. Suppose -t*b + 56 + 304 = 0. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 3 + 3 - 23*b**2 + 8*b**2 + 13*b**2 + 306*b in the form f*b**2 + k + d*b and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 118781 at least 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 81122741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33 - (0 - (-2 + (-5 - (-12 - -11) - 2))).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.19 and -4334?\nAnswer: 4333.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 10, j: 10}. What is prob of sequence jmjm?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7330787 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i = -5*s + 17, i = 4*i - 2*s + 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 2*v**3 - 1038*v**2 + 5140*v + 8. What is n(514)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -8*o. Let m(s) be the first derivative of s**6\/120 + 3*s**3 - 12. Let j(v) be the third derivative of m(v). Give j(a(h)).\nAnswer: 192*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9 - -13. Let f = 1406.53 - 1406.53. What is the closest to f in -0.3, 2, t, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 13275500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 559196*c*g**2*q**2 + 150*c*g*q**3 + 3*g**2*q**3 - 7672*g**2 - 27*q + 13 wrt c?\nAnswer: 559196*g**2*q**2 + 150*g*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a millennium in years?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 25696 and 43168?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10819 is divided by 102.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*-6*1*((sqrt(1053) + 0 + 1)**2 + -1) + -5.\nAnswer: 432*sqrt(13) + 25267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4\/3  (b) -4  (c) -0.4  (d) 58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.294 times 2254?\nAnswer: -5170.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 165\/3036*(-4)\/10. Which is the nearest to 6?  (a) -2\/19  (b) 0.2  (c) -1\/4  (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 856\/(-2)*1\/4. Let t = -72 - w. What is the greatest common divisor of t and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15 - 11. Suppose 8*y - 8 = l*y. Determine a, given that 3*a + a**y - 5*a**3 - 1 - 2*a**4 + 2 + 2*a**3 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*h = 6*h + 162. Suppose 0 = -6*i + 3*i + h. Suppose 750 = i*r - 60. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1131 - -1077. Which is smaller: i or -56?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -109465683 + -2913\nAnswer: -109468596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 80448 (base 9) to base 4\nAnswer: 30321320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 165.1 less than -0.1?\nAnswer: -165.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 36587 + -9988340\/273. Let b = 4\/39 - q. Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*q = -773 + 570 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 358 - 6. Calculate the greatest common factor of 22 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 704 - 700. Let j be 648\/405*5\/x. Let s(h) = 2*h + 3. Let t be s(-3). Put t, 27, j in ascending order.\nAnswer: t, j, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*o + 5*g = 36*o + 35, 3*o - 5*g = -45 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxuu when four letters picked without replacement from {u: 7, x: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*g + 19*g + 2*g)*(158 - 276 + 298)*(-3*g + 0*g + 2*g)*(2 + 2*g - 2) in the form z + d*g**2 + k*g + m*g**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5982\/49 + -931507\/392. Let i = q + 2502. What is the common denominator of i and -151\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 50820 and 1826660.\nAnswer: 421958460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2101 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21373?\nAnswer: 11, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 39\/11454500 and -69\/916360?\nAnswer: 22909000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4089 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add -9 and 228.102.\nAnswer: 219.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 577 is divided by 141?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36044 - 3234 = 965*g for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 0.4273009ug?\nAnswer: 0.0004273009","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/3  (b) -2\/1127  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*(-7)\/(-56)*(-2)\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 25176 and 60?\nAnswer: 125880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (590*m + 258*m + 314*m)*(-3 - 2 + 3) as d + l*m and give l.\nAnswer: -2324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 42 = -3*o - 16, 2*f - 5*o - 118 = 0. Let q = -31 + f. Does 26 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4\/21  (b) -1\/4  (c) 5  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(495)\/(sqrt(11)*-1))**2 - (sqrt(90)\/(sqrt(8)\/sqrt(4)) + -1).\nAnswer: -3*sqrt(5) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.5 - -0.4. Let z = 544 - 541. Which is the smallest value?  (a) s  (b) -4  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1379744 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*v**3 + 220*v**4 - 30 - 3*v + 60*v**2 - 250*v**4 - 2*v - 5*v**5 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 1 k when three letters picked without replacement from kaaaaakaka?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -143.97759 rounded to one decimal place?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -q**5\/3 - 407*q**4\/3 - 10646*q**3 - 295008*q**2 - 2712960*q = 0. What is q?\nAnswer: -314, -45, -24, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -3*i**2 + 3*i + 5. Let k(b) = 5*b**2 - 6*b - 9. Let y(r) = -11*h(r) - 6*k(r). What is y(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2365691 to the nearest integer?\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(((-57)\/38)\/((-3)\/(-1))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is d1 + 3?\nAnswer: d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 61479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = y + 4*y - 4, -23 = 3*n - 4*y. Calculate the common denominator of (-303)\/240 - (-258)\/215 and (-441)\/6*(-1)\/n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a. Let d(m) = -1 + 6*m - 5 + m + 0. Let q(f) = -15*f + 13. Let j(c) = 13*d(c) + 6*q(c). What is j(z(s))?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 30470 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 88*v**4*y**2 - 2*v**3*y**2 + 282*v*y**2 wrt v?\nAnswer: 1056*v**2*y**2 - 12*v*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*r + 3*r + 792 = -77*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 67790, 67744, 67698?\nAnswer: 67652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add 14863 and 0.05.\nAnswer: 14863.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 604*d**2*f**2 - 9458*d**2*f - 6*d - 32456*f**2 - 413 wrt d?\nAnswer: 1208*d*f**2 - 18916*d*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-10)\/(-25) - (-2)\/(-5). Suppose y = -h + 5 - 2. Suppose h*u + 2*n = 5*u - 20, -2*u + 30 = 3*n. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (99\/297)\/(2 + (-13191)\/6597).\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -43, -0.2, -0.1, -22, -1\/2, -3 in decreasing order.\nAnswer: -0.1, -0.2, -1\/2, -3, -22, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.32 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2\/2605, -4\/7, -3, 6\/5, 5 in increasing order.\nAnswer: -4, -3, -4\/7, -2\/2605, 6\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*c + 44*c = -174 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r**2 - 2*r + 2. Let s be v(6). Calculate the highest common divisor of s and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17578, 35166, 52752, 70336, 87918, 105498, 123076?\nAnswer: 140652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -4*j + 23. Calculate t(14).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -47.44191 rounded to 1 dp?\nAnswer: -47.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 403 = -3*g, g - 2*u = 2*u - 116. Let s = -950\/7 - g. Sort -5, s, -3 in increasing order.\nAnswer: -5, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -41705628931 and 84.25.\nAnswer: -41705628846.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -833123*l*m**2 - 277402843*m**2 wrt l?\nAnswer: -833123*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 1998*j**2 + 17*j + 100. Let n(u) = 999*u**2 + 8*u + 50. Let o(q) = -7*n(q) + 3*x(q). Let k be o(10). Round k to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.1448 from -0.36.\nAnswer: -0.2152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 89193, 178405, 267617?\n\"Answer: 89212*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**3 - 7*h**2 + 20*h - 40. Give g(5).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 2, u: 4}. Give prob of sequence uuuu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 3*p**3 + p**2 - 3518*p + 3. What is v(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6004)\/228 - 1\/(-9)*3.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the first derivative of 3*y**2\/2 - 1. Let t(f) = 6*f - 4. Let s(n) = 17*n - 11. Let k(u) = 4*s(u) - 11*t(u). Calculate k(l(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5)\/75 + 1803\/45. Let v(m) = m**3 - 40*m**2 + m + 20. What is the units digit of v(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4022 - 3869. What are the prime factors of b?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 28\/(-6)*60\/(-8). Find the second derivative of 26*f + 8*f**2 - h*f**2 - 3*f**2 wrt f.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1048758 divided by 94?\nAnswer: 11157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are -5725279 and -5725279 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 94018654 to the power of 1\/2, to the nearest integer?\nAnswer: 9696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*p + 12282 = 2*f + 27*p, 0 = f - 3*p - 6155. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 5721*v**2 + 1907*v + 1907. Let m(k) = k + 1. Calculate 4*g(n) - 7628*m(n).\nAnswer: 22884*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 2*t = -200, 214 = 3*g - 5*t - 92. Let q = -105 + g. Let b = q - -74. Calculate the greatest common factor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 192\/45 - (-110)\/(-30). What is the second smallest value in l, -3.26, -3, 3, -2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 48510 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-192)*6)\/((-3798)\/(-2532))?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 3*k = -25. Let j = 13 + k. Solve -4*q + j = -8*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 + 1429956?\nAnswer: 1429961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**3 + 34*p**2 - 105*p + 80. What are the prime factors of o(25)?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -58 or -148894\/2617?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*s**2 - 1188751294 + 1188751294 - 2*s**2.\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -120*r - 1031 = -362 + 531 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 75*y**2 - 15*y + 7. Let j(n) = -76*n**2 + 14*n - 6. Let u(p) = -6*j(p) - 5*l(p). Is u(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 3*v)*(-1972*v**2 - 2096*v**2 + 3857*v**2) + (3*v - 4*v - v)*(4*v**2 - 2*v**2 - 3*v**2).\nAnswer: -631*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 9\/2*(-80)\/(-15). What is the greatest common divisor of h and 3048?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*f**3))**(-4\/5)*f*f*f*(((f\/f**(2\/15))\/f)\/f)\/f*f*f**6*f assuming f is positive.\nAnswer: f**(169\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*s + s + 0*s)*(0*s**4 - s**4 - s**4) + 5*s**4 - 5*s**4 + 3*s**5 + 38*s**2 - 18*s**2 - s**5 - 23*s**2.\nAnswer: 6*s**5 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**4 - 42*i**3 + 12*i**2 + 168*i.\nAnswer: -3*i*(i - 2)*(i + 2)*(i + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m + 46 - 1. Suppose i + 8 = 23. What is the remainder when i is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -23357185\/4 or -5839297?\nAnswer: -5839297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 36, 0.02, 2, 0.5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 1 = -3*n, -h + n = -0*h - 3. Suppose 0 = -v - h*v + 54. Let m = -156 + 246. What is the greatest common factor of v and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2*((-48)\/(-42))\/8\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2374*z**5 + 44*z**4 + 2*z**3 + 25910*z**2 wrt z.\nAnswer: 142440*z**2 + 1056*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than 69\/3878203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 + 1 + (3 + 0 - 2)*(-3 - 4 + 6) - 6 + 3 + 2)*(4*r - r - 4*r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 - 5. Let d = 0 + g. Sort 5, d, -5.\nAnswer: -5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**2\/9 + 269792*y\/9 - 9098465408\/9.\nAnswer: -2*(y - 67448)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.5 - 166.8. Let d = 163 + s. Which is the nearest to 1\/3?  (a) d  (b) 3  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3127.\nAnswer: 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80312 is divided by 198?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23199360 is divided by 278?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 10\/5 - (7 + -4). Put o, 22, 2 in increasing order.\nAnswer: o, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/8*-4*-10 + (-1569288)\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (16 - (-18 - -31) - (4 - 32))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 7222370438 to the power of 1\/3, to the nearest integer?\nAnswer: 1933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**3 + 4*b**2 - 478*b + 39. What is k(-24)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, n: 3, l: 2, c: 1, j: 4, f: 2}. What is prob of sequence fn?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4 - 0)*1274\/(-104). Let p be 4*(-41)\/14 + (-14)\/x. Sort -2, 1, 4, p in decreasing order.\nAnswer: 4, 1, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 544099 - 13?\nAnswer: 544086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -782\/77125 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 100591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5 + (5 - 6)*-2899. Suppose -p = 9*j - 20*j. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 2406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-1\/4))**27*a**(-7)\/a**(3\/7))\/(((a*a\/((a*a*(a*a*a**(5\/6))\/a)\/a))\/a**(2\/7))\/(a*a\/a**(-4)*(a*a**2)\/a)) assuming a is positive.\nAnswer: a**(-425\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1 + 2)\/((-42)\/364). Let g = t - -184\/7. Put g, -0.06, 0.4 in increasing order.\nAnswer: -0.06, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c + 5 - 5 - 3*c**2)*(2*c**2 - 2*c**2 + 2*c**3).\nAnswer: -6*c**5 + 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 55 and 4455?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 smaller than -2.22249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**2 + 4*i - 1. Let u(p) = -p**2 - 3*p + 1. Suppose 5*s - 8*j = -13*j - 50, s - 5*j = 20. Determine s*u(y) - 4*m(y).\nAnswer: y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -117*k**2*s**2 + 3*k**2 - 2*k*s**2 + 2*k*s - 76 wrt k.\nAnswer: -234*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 56486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10 + 7. Let y = h + 5. Suppose 4*q - o = 1, -5*q + 3*q + 2*o + 2 = 0. Sort -3, y, q.\nAnswer: -3, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-8) - 502\/(-8). Let o = 130 - q. What are the prime factors of o?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -40*n**3 + 6*n**2 + 6*n - 6. Let l(q) = q**3 - q**2 - q + 1. Give -6*l(c) - m(c).\nAnswer: 34*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 1\/114?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 101076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1455350, -2910700, -4366050, -5821400, -7276750, -8732100?\nAnswer: -10187450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4 and 41408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 11:40 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*g - 531 + 561 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 - -5 - 32 - -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((1 - 2)*(-440)\/(-40) + -29)*55\/(-44)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5 or 990\/193?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -3*d**3 + 2*d**2 - 3*d + 3. Let g(c) be the first derivative of 3*c**4\/4 - c**3\/3 + c**2 - 2*c - 10. Give -3*g(h) - 2*m(h).\nAnswer: -3*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 122864*j - 120670*j + 22712 = 108278 for j.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**2 - 13*b - 16. Let u be q(-5). Suppose 5*m - 3*y - u + 2 = 0, 5*m - 24 = y. Solve -2*r + a + 3*a - 18 = 0, 0 = r + 5*a - m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53887817?\nAnswer: 41, 32057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, -51, 3 in ascending order.\nAnswer: -51, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/((-36)\/8)*3\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-28)\/(-12))\/(7\/6). Let b be ((-7)\/(14\/(-8)))\/(0 + u). Solve -4*f = 3*x - 3, b*f = 5*x + 6*f + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 221878 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4762*r - 4760*r - 64 = 14*x, 3*r = -3*x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(-4)*11\/(440\/(-24)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3262774 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x. Suppose 0*u - 4*t - 47 = 5*u, -5*t + 20 = -5*u. Let w be (-6)\/21 + 124\/u. Let b be (-4)\/w + (-40)\/18. What is v(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 334 - 330. Factor 6*u**4 + 384*u - 16*u**3 - 376*u - 4*u**2 + 6*u**k.\nAnswer: 4*u*(u - 1)**2*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*j + 2*w + 18683 - 18739, -20*w = -80 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6362 + 6762 = 772*w for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 98 and 833?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-6)*12\/(-8). Find the first derivative of j + 3 - 2*t**3 - 2 - 4 wrt t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27081 = 51*n - 506*n - 4*n for n.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**2 - 9*a - 9916. Give j(-99).\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 162913145 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**3 + k**2 - k + 5. Calculate the lowest common multiple of 7 and z(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 + 2 - (3 + -4). Which is bigger: f or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**2 - 2*g + 1. Let d be r(2). Let a be (3 - 2) + d + 13. Let u be 4\/((a\/6)\/5). Solve -u = n + 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2621 is divided by 859?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 34956 and 3204300?\nAnswer: 9612900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 (base 16) in base 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 479324\/165 + -31960\/11. Let l = o + 2\/33. Which is the nearest to -2?  (a) l  (b) 0.4  (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/((b*b\/b**(-5))\/b)*b*b)\/b**(1\/9))\/((b\/(b*b**(1\/3))*b)\/b)**(-22))\/(b**(-5)*b**(-1)*b**5*b*b**(-2\/7)) assuming b is positive.\nAnswer: b**(-640\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-12)\/(-195))\/((-4)\/10). Let y = -352 - -350. Let l be y\/1 - (-15)\/(-20). Which is the biggest value?  (a) l  (b) -3  (c) 5  (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -8*p + 5. Let j(a) = -2*a + 1. Let w(i) = -2*f(i) + 9*j(i). Let x be w(-3). Suppose 4*d - 1 = -g + 5, 5*g = x*d + 5. Solve g + 1 = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (12\/(-9))\/((-10)\/(-6) - 2). Suppose 4*i + 5*l = 7*i - 24, c*l = 3*i - 27. What is the highest common divisor of 91 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2\/181 + 547\/362. Which is the nearest to 2\/5?  (a) k  (b) -3  (c) -1\/10  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a - 2. Let q be v(6). Suppose -5*j + 4*l + 3 = q, -5*j - 5*l = -35. Solve 7*m - 4 = j*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 55.5587 + -55.15. What is o rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -75\/2*l + 3\/2*l**2 + 99 = 0.\nAnswer: 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -22*r**4 - 540*r**3 - 926*r**2 + 6912*r + 3960 = 0.\nAnswer: -22, -5, -6\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 8 + 2\/(-3) + 102\/153\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 83473 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 167745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22921 = 271*h + 749 - 14684. What is the highest common divisor of 200 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 596163 (base 12) in base 7?\nAnswer: 15152151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, a: 1, l: 1}. Give prob of picking 1 z and 1 l.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 390\/7 + -55. Let q = -4\/35 + r. Let x be 5*1*(-6)\/(-15). Is q greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/7*((-6747)\/(-117) - 4).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1365 and 1260\/(-10 + 46\/4)?\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 222575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3196 - -3193. What is the fourth biggest value in 2, 32, k, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (27 + -44 - (-6 + -1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -601d3 (base 16) to base 5.\nAnswer: -100044213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 11*d**2 + 3*d. Let y be m(-3). Suppose 0 = -9*g - y + 1071. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 104 divide 518270688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1780, 2054, 2806, 4276, 6704?\n\"Answer: 40*u**3 - u**2 - 3*u + 1744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -62*t**3 - 17*t**2 - 511. Let g(j) = -127*j**3 - 35*j**2 - 1020. Let l(o) = -4*g(o) + 9*k(o). What is the first derivative of l(b) wrt b?\nAnswer: -150*b**2 - 26*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/112 and 63\/134?\nAnswer: 7504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*u = -37*u + 130. Calculate the remainder when 75 is divided by u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*p**4 - p**4 + p**4 + (-3*p - 3*p + 5*p)*(-2*p + 2*p + p**3) + 3*p**4 + p**4 - 2*p**4 + 2*p**4 + 1 - 1 - 40*p**2 + 40*p**2 + 28*p**4.\nAnswer: 29*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (377000\/(-375))\/26*6\/(-4)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((-179)\/537)\/(1\/11)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (44 - 44)\/(-4 + 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/616 and -41\/6?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -2*l + 48. Determine r(-9).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yddd when four letters picked without replacement from {y: 5, c: 4, d: 3}?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 12819305 or 12819302?\nAnswer: 12819305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1020 and 2154.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:19 AM and 8:13 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3\/8, 807.5, 1\/9?\nAnswer: 807.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -3*o**2 - 72*o - 247. Let x be t(-20). Let s(y) be the third derivative of -y**6\/120 - 7*y**5\/60 + y**4\/24 + 5*y**3\/6 + 2*y**2. Determine s(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19.51 + -0.91. Let q = 1257313856.59999647 - 1257313838. Let h = l - q. What is h rounded to seven decimal places?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13641259?\nAnswer: 17, 19, 157, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12*-1591762.\nAnswer: 19101144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 8414 divided by 5\nAnswer: 8414\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:11 AM and 6:32 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8817466 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 25440000 rounded to the nearest 100000?\nAnswer: 25400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 275.5 - 227. Let u = v + -49. Which is the nearest to 0.1?  (a) -5  (b) u  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19348676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 5 - 2\/(1 - 0). Let i be ((-4)\/(-2))\/(g*(-4)\/(-18)). Suppose -2 = -v, 5*p - 7115 - 246 = -i*v. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2086 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 224309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -106*v**2 + 161*v**2 - 63*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.079 + -6.179. Let n = v - -6. Which is the smallest value?  (a) 1\/4  (b) n  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-40)\/(-16)*(-7676)\/505?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 26*s - 674. Determine u(36).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3048 + -3048. Let f = 0.27 + 0.03. Which is greater: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (3\/9)\/((-13)\/(-663)). List the prime factors of (w\/(-2))\/((-13)\/1456).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/t**(-7))*t\/((t\/((t\/(t\/t**(-7)))\/t*t))\/t)*t)\/((t**5\/t)\/(t\/((((t\/(t**1\/t*t))\/t)\/t*t)\/t)*t)) assuming t is positive.\nAnswer: t**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14 + -13. Let k(o) = -50*o**2. Let n be k(t). Let q = n - -84. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -3*w**2 - w + 3. Determine u(4).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 40 - 56. Let p = 1 + t. Let v = -15.00045 - p. What is v rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - (-1 - -1)) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3 - -2*127618278\/(-235). Let k = v - -1086112. Let w = 28\/47 - k. Find the common denominator of 44\/9 and w.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3*((-50)\/15 - -4). Suppose -2*b**2 - b + 0*b**s + 3*b**2 + 5 + 7*b = 0. What is b?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the second derivative of -1\/20*r**5 + 0 + 5\/2*r**2 - 2\/3*r**4 + 19*r - r**3. Calculate q(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 6*f - 1799 = -4*c, 0 = 3*c + f - 1348. Suppose -1467 = -5*l - w, -3*l + 4*w = -445 - c. What is the lowest common multiple of 8 and l?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 14?  (a) 0  (b) -5\/2  (c) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 0 + 11 = 0. Let f(s) = -3. Suppose 3*n = -4*q - 23, -4*q - 3 = -11*n + 10*n. Let o(l) = l + 16. Let w(a) = q*o(a) + x*f(a). What is w(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/(-19))\/((-164280)\/(-6327) + -26)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1907 = 299*k - 6990 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -24, 72, 274, 582?\n\"Answer: 53*y**2 - 63*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 14.97746 years?\nAnswer: 1.497746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.02*97855.9.\nAnswer: 1957.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3283201.\nAnswer: 67, 49003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -15\/89 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in thirteen quarters of a minute?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 197764702 is divided by 2825210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -101.2 + 101.1999931845. What is p rounded to 7 decimal places?\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*z - 5*z = 140 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 34*i + 2 + 6*i**2 + 0 - 34*i to k + z*i + r*i**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 0 = 4*m. Solve -5 = x, -4*a - 3*x + 6*x = m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**3 - 3*u**2 - 4. Let a(g) = 5*g**3 - 12*g**2 - 15. Let w(h) = 2*a(h) - 9*s(h). Let k be w(-3). Suppose -3*v = -k*v + 633. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttttttrttthhrtthhht. Give prob of sequence hhh.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -5*g + 350. Determine s(-8).\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7038363 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 9*c - 1. Let h be z(1). Let y be 6\/(-4) + (-4)\/h. Let x be (y - 1)\/((-6)\/8). Solve 3*r = x - 19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -12 + 3 + -1 - 6 - 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5293252*a*l**3 - 224*a*l**2 - 249*a + 2*l**2 - 1 wrt l.\nAnswer: 31759512*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m - 23. Let q(v) = 3 - 16*v - 23*v - 3 + 40*v. Determine q(t(x)).\nAnswer: -x - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2060137353?\nAnswer: 3, 43, 3187, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -y - 2*n - 0*n - 13, 4*y - 5*n = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31908?\nAnswer: 2, 3, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.3 + 1.7. Let h = 115\/3 + -39. Sort -4, a, h in ascending order.\nAnswer: -4, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2043.2194 to the nearest integer.\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 91.68067t?\nAnswer: 91680670000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -12, -2, 32, 102, 220, 398?\n\"Answer: 2*f**3 - 4*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 158652 and 17316.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 - 16*i**2 + 3 - 11*i**2 in the form w + r*i + u*i**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 4 + -1 + 1 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/2871 and 167\/7656.\nAnswer: 22968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 9*((-638)\/(-3069))\/(-29)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16240?\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11 + -19. Let s = m - -34. Solve s*j - 9 = 5*p, -j = j - 3*p - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -192, -426, -660, -894, -1128, -1362?\n\"Answer: -234*q + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -3393 + 6785 + 4*g - 3392. Let n(d) = -d**2 - 49*d. Give l(n(m)).\nAnswer: -4*m**2 - 196*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -4562871000 to the nearest one million.\nAnswer: -4563000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2677927744 + -2677927629.99999988. Let h = x + -114. Round h to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and -0.4163267?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00167647276 rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -218.32 + 5.52. Let c = -213 - w. Let x = 1.2 - 1.14. Which is greater: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -65 + 119. Let q be 0 - (-1 - 6\/(-3)). What is the remainder when (q + 5\/3)*j is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (2*2\/(-152))\/(8\/(-384)) and -47\/10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 38 (base 10) to base 13\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = 4*w + 28. Let t = -3 - w. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2889 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*q - 10*q + 14 - 6*q + 28*q - 3*q as l*q + x and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**2 + 6. Let v be l(0). Suppose o = v*o. Let i(a) = a**2 - a + 3. What is the units digit of i(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 53*o**4 - 2*o**3 + 14298*o**2 - 11*o + 161903 wrt o?\nAnswer: 636*o**2 - 12*o + 28596","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of r - 784*r**2 - 2318*r**2 + 7898*r**2 + 7632*r**2 + 2152 - 1195*r**2 wrt r.\nAnswer: 22466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j + 0*j + 2*j)*(1 - 1 - 2*j) + 3*j - 3*j + j**2 + (5 - 3 - 4)*(-j**2 - 2*j**2 + 0*j**2).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 + 5 + (7 - 5). Suppose -110 = -g*q - 14. Solve 5*r - q = -2*c + 3*r, 5*c + 3*r = 32 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (121\/1573)\/((-10)\/(-26)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 AM and 3:41 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the first derivative of g**2 + 2. Let n(c) = -5*c**2 + 2*c + 2. Let a(h) = 81*h**2 - 33*h - 33. Let q(s) = 2*a(s) + 33*n(s). Determine q(b(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -2914 divided by -2914\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 20858810941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1012 + -1012.5. Which is the second smallest value?  (a) x  (b) -0.3  (c) -4\/3  (d) -0.103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9 or 1305512?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:06 AM and 8:51 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/((72\/(-54))\/((-4)\/3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 95 + 200. List the prime factors of m.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -554*a**2*p**3 - 17*a**2 - 32*a*p**2 + 2*a wrt p.\nAnswer: -3324*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 12.45 and -0.01817?\nAnswer: -0.2262165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -432, -433, -434, -435, -436?\n\"Answer: -x - 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 0.4, 0.02, 0.5, 10, -107?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 983024 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 14 + 19*k - 5*k**2 + 11*k + 10*k**2 - 32*k in the form m + h*k**2 + r*k and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.1, 3\/5, 0.5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(56) - (sqrt(168) - sqrt(168)*-2)\/sqrt(3))\/(2*sqrt(968) + sqrt(8)) - ((-5 + 3*sqrt(112))**2 + sqrt(112) + -3 + 1 + sqrt(112)).\nAnswer: -1031 + 2574*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 3*(-8)\/6*2\/(-60)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 51756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -563322 - -3.2.\nAnswer: -563318.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 269296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 740.5 in 0.6, 4, 1\/80?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -692*w**2 + 7*w. Let m(a) = -a - 99. What is m(n(o))?\nAnswer: 692*o**2 - 7*o - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -227232*o + 47945964. Give n(211).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1414\/(-78))\/(8 + 568\/(-72)). Let d = -163 - s. Is d smaller than -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m**(-10)\/m))\/(((m*m\/m**2)\/m)\/m*m))**(3\/22) assuming m is positive.\nAnswer: m**(39\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -588*y + 594*y + 132 - 132.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-325)\/(-39)*(-126)\/(-1890).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -24*z. Let m(o) = 416529*o**2. Give t(m(f)).\nAnswer: -9996696*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 7\/(-126)*5\/((-10)\/6). Which is smaller: f or 8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67477027 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/(-4)*7\/3. Let a = k + -2. What is the nearest to -1\/6 in 1, a, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 64 - 67. Let m = -9 - -2. Which is greater: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 806 and 7.\nAnswer: 5642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.1  (b) -11  (c) -5  (d) -560  (e) -2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 23188009.\nAnswer: -3\/23188009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -8*v**2 - 8*v + 5. Suppose 3*m - 6 = 2*m. Let u(h) = -6 - 8*h**2 + 10*h - h + 17*h**2. Determine m*u(w) + 7*f(w).\nAnswer: -2*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d - 8. Let g be v(0). Calculate the remainder when 1104\/22 + g\/44 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.05 * 21\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -344 divided by 2?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 119.57 + -119. Let t = 0.5669 - q. What is t rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7586962 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the first derivative of k**2 - k - 1. Suppose -s - 2*c + 3 = -7, 25 = 4*s + 3*c. Is y(s) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40176329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 - -0.0849199467\nAnswer: 0.2849199467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -6 + 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 8*h. Let b(l) = 257*l**2. Calculate f(b(v)).\nAnswer: 2056*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**3 - 5*a**2 + a - 5. Let s be c(5). Suppose -2*t + 4*t + 158 = s. Find the common denominator of 95\/6 and (57\/60 + -1)*t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -153503 + 4.\nAnswer: -153499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((((sqrt(117) - (sqrt(117) + 1*sqrt(117))) + sqrt(117) - sqrt(117))*-1)**2 - (sqrt(117) - (sqrt(117) - (sqrt(117) + 2 + sqrt(117)))**2*3)).\nAnswer: -480 - 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 14*m - 9*m + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -11 - -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -11*c**3 + c**2 + 147*c + 147. Let w be y(-1). Let z(m) = m - 3. Determine z(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -10 + (-1 + -2 - -11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5051120 and 6592.\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1748 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -29 + 32. Suppose -c*w - w + 384 = 0. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 229*j - 1099332 = 107*j + 95*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*s + 5*p - 2, -77*s - 83*s = -156*s - 2*p + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nffs when four letters picked without replacement from {f: 3, n: 4, s: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 214548 and 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -422a (base 13) to base 10\nAnswer: -9162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(((-6)\/12)\/((-2)\/40))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n**3 + 2 - 2)*(2*n + 2*n - n)*(-3 + 0 + 2) + (-228*n - 137 + 137)*(2*n**3 - 2*n**3 + n**3).\nAnswer: -219*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 256\/18 + (-8)\/36. Let t = 35 + 18. Let v = -48 + t. Solve -v*o - q = -34 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23289151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -5*r - 1. Let f(p) = -5*p + 11. Let w be f(-6). Let q(x) = -2*x - 5*x + 40 - w + x. What is 3*j(b) - 2*q(b)?\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -260331 - -2857166\/11. Let w be (219*-4)\/(12\/(-8)). Let x = w + b. Find the common denominator of x and -109\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 396 and 603369261.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**3 + q**2 - q + 1. Let s(f) = 19*f**3 + 4*f**2 - 4*f - 16. Let v(x) = -s(x) + 4*w(x). Differentiate v(o) wrt o.\nAnswer: -45*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 689872917?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 508690 a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 886930321 is divided by 391.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 18*m**3*z**2 - 66*m**3 - 2*m**2*z**2 + 94*m**2 - m*z**2 + m - 43*z**2 - 3*z + 1 wrt z?\nAnswer: 36*m**3 - 4*m**2 - 2*m - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2573879?\nAnswer: 7, 11, 33427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 42\/24*(-3 + -1). Let l = 13 + p. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -24, 4 in decreasing order.\nAnswer: 4, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s**2 - 2900*s + 2895 = 0 for s.\nAnswer: 1, 579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-241)\/3 - 14\/21. Let x = 404\/5 + k. Put 0.4, 2\/3, x, 3 in increasing order.\nAnswer: x, 0.4, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 22\/(-1) - 16\/(-4). Let v = -15 - m. Let f(b) be the third derivative of -b**4\/24 + b**3\/3 + b**2. Let k(g) = 2*g - 3. Determine v*k(d) + 4*f(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 20829239 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(1\/4)\/(q\/(q**(1\/4)\/q))*(q**(2\/5))**13 assuming q is positive.\nAnswer: q**(37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(-1\/10))\/c)\/c*c*c**7*((c\/c**(1\/3))\/c)\/c**3 assuming c is positive.\nAnswer: c**(107\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kklih. Give prob of sequence hh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (21\/14)\/((-17)\/20 + 1). Suppose -37*l - z = -38*l. Solve s - 7*f + 2 = -2*f, -5*s + f - l = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 197*u - 1705*u - 42805 = -285*u for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 divided by 41.\nAnswer: 7\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 4367.613057 to the nearest one hundred.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express i - 41*i**4 - 39*i**4 + 3 + 83*i**4 + 2*i**3 in the form k*i**3 + c*i**2 + w + s*i**4 + o*i and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 208341, 833296, 1874901, 3333162, 5208085, 7499676, 10207941?\n\"Answer: b**3 + 208319*b**2 - 9*b + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 45841.83 grams in tonnes?\nAnswer: 0.04584183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 22\/15*z**2 - 4\/5*z**3 - 4\/5*z + 0 + 2\/15*z**4.\nAnswer: 2*z*(z - 3)*(z - 2)*(z - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 1819553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2603 + -1?\nAnswer: 2602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -5*s - 5*c + 15, 4*c - 12 = 3*s. Suppose -4*d - 12 + 24 = s. What is the least common multiple of d and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 27804, 222933, 752564, 1783947, 3484332, 6020969, 9561108?\n\"Answer: 27875*n**3 + n**2 + n - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tutuutttuuuuttuu. Give prob of sequence uuuu.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 55, 108, 161, 208, 243?\n\"Answer: -y**3 + 6*y**2 + 42*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 PM and 11:27 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -2*q**2 + 11*q - 8. Let f be w(6). Put -1, f, 5 in decreasing order.\nAnswer: 5, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*g**3 - 83866405*g**2 + 351678652447995*g + 351678736314405.\nAnswer: 5*(g - 8386641)**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 13*h = -12*h + 33, -55 = -5*a - 3*h. Let z = -26 - -51. What is the remainder when z is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 2.241254mg?\nAnswer: 0.000002241254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 30*i**2 + 2*i - 31*i**2 - 2*i. Let n(o) = o - 1. Give s(n(v)).\nAnswer: -v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*q - 1 + 3 - 2 in the form b + t*q and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*x = -26*x + 6*x - x + 861 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 214, 215, 216, 217, 218, 219?\n\"Answer: j + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1430037\/4 or 357509?\nAnswer: 1430037\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes before 2:35 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-7)\/d)\/d**(2\/21))\/((d*d*d**6)\/((d**1*d)\/d)) assuming d is positive.\nAnswer: d**(-317\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*a, -5*u + 10 = 9*a - 10*a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -380 by -137.\nAnswer: 380\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 118*r - 10881. Give c(92).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 495, 987, 1479, 1971?\nAnswer: 2463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*u**2 - 2*u + 5*u**2 - 12*u**2)*(1 + 1 + 0)*(-u - 2 + 2)*(-7*u**2 - 2*u**2 - u**2).\nAnswer: -60*u**5 - 40*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 4, 3, 15689, 5, -2 in descending order.\nAnswer: 15689, 5, 4, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 467\/2568 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 5*a - 2*q + 56 = 0, 4*q = 0. Calculate the smallest common multiple of a and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of -2*c**3\/3 - 2*c**2 + 6*c + 9. Solve k(n) = 0 for n.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 30 + -29. Suppose -h + 8 = h, 5*o = 4*h - a. Suppose -449 = -y - 2*x + 428, 4*y + o*x = 3508. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l + 32 - 4. Suppose -q + l = 3*q. Let x = -16 - -35. What is the remainder when x is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -259788.503 rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(336)\/sqrt(24))\/(sqrt(8) - sqrt(72)*-2 - sqrt(8)).\nAnswer: sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -488*c = -3325 - 682 - 8681 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 35923167 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 61*r - 1. Suppose -361 = -3*q + 2*v, 102*q + 3*v + 239 = 104*q. What is the least common multiple of q and x(2)?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -z + 2 - 2 + z + 2 - 2 + 3*z - 4*z - z - 2*z + 5*z - z + (3*z - z - 3*z)*(-5 + 1 + 2) - 97*z + 42*z - 15*z.\nAnswer: -68*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-288)\/(-216))\/(20\/9)*-35.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the third derivative of b**5\/30 - b**4\/24 + 5*b**3\/6 + 2*b**2. Let q(k) be the first derivative of y(k). Let c = -6 + 4. What is q(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 328796 = -1833*o + 9000*o - 194395 for o.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -35, -7, 39, 103, 185, 285, 403?\nAnswer: 539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 203\/6 - 34. Let v = -4.43209 - -0.43209. Which is the closest to 1?  (a) q  (b) v  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4642800486 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + 103?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3373 = -9*p + 3274 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gllggllllglgl. What is prob of sequence lggg?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6171127 is divided by 584?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhhr when four letters picked without replacement from hhrh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 + (-14)\/6 + 75\/9. Let z(k) = k**3 - 11*k**2 + 12*k + 5. Calculate z(c).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**3\/6 - 25422547*b**2\/3 + 16948365*b\/2.\nAnswer: -b*(b - 1)*(b + 50845095)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -823*t - 154. Let y be k(14). What is y rounded to the nearest one hundred?\nAnswer: -11700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 12:54 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 0*l + 10 = -4*l, -2*f + 69*l = 67*l - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 83109.5, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/1004 and 145\/5139978.\nAnswer: 10279956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a and 1 s when four letters picked without replacement from aaaaaaaaaasasaasaaaa.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 10\/35 - 430\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, 1444879, -2\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -0.8  (b) -27  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 6*(-1 + sqrt(2299))*3 + 2*sqrt(171) + -1 + 2 + 3.\nAnswer: -14 + 204*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 22 = -2, -872 = -j - 7*f. Is j a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (7 + (-1 - 0 - (3 - 3)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 8, 4, 7, -31 in increasing order.\nAnswer: -31, 4, 7, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 5*h - 35. Let b(q) = -19*q + 99. Let x be b(-13). Let d = 352 - x. Let s(w) = w - 6 + 0*w + 0*w. Give d*l(o) - 35*s(o).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - j = 5*d + 35, -3*d + 4*j + 8 = 0. Let h = d - -9. Let t(v) = v - 5. Let n be t(6). Put n, 7, h in ascending order.\nAnswer: n, h, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1492407281.\nAnswer: 1613, 925237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.8579 - 4.8579. Which is the closest to 0?  (a) -1.02  (b) -1\/10  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q = 4*u - 28, u = 5*u + 2*q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.09  (b) -5  (c) -0.2  (d) 363\/301\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -2*g - 4*y - 8, -y = 4*g + 5. Suppose g = 15*c - 7*c - 1232. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/2*-1)\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence owrw when four letters picked without replacement from hwiowiworiw?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the first derivative of -8 - 2\/21*k**3 + 4\/7*k**2 - 6\/7*k. Factor r(z).\nAnswer: -2*(z - 3)*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the second derivative of c**4\/12 + c**3\/2 - c**2\/2 - 9*c. Let r be f(-4). Suppose 67 = r*i - 5*m, m = -i + 3*m + 21. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 51 + -25. What is the remainder when 51 is divided by s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 2*d**2 + 2. What is the remainder when 78 is divided by f(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*0.2\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.1+-173115\nAnswer: -173115.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -115*v - 47. Let t(c) = c**3 - 6*c**2 + 6*c + 1. Let x be t(4). Is l(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 12 = 58*x - 54*x, -3*x = 8*q - 28. What is the highest common factor of 1392 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -87 + 77. Let x be ((-40)\/(-14))\/(a\/(-105)). What is the greatest common divisor of 50 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1460818098 and 0.067405?\nAnswer: 1460818098.067405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21 and 2289.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/110)\/(250\/(-1375))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 52345.41 days to hours.\nAnswer: 1256289.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 145018067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 289*s**2 - 197*s**2 + 2 + 71*s**2.\nAnswer: 163*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 6) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*g**2*s**4 - g**2*s + 4*g*s**2 - 11*s - 3 wrt s?\nAnswer: -48*g**2*s**2 + 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -190944 by -136.\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a kilometer in millimeters?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 1, 19.\nAnswer: -1, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-3\/2)*x*(x**(-1\/36)\/x*x)\/x*x*x assuming x is positive.\nAnswer: x**(17\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -7*o**2 + 116*o - 442. What is w(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 78 in -5\/49, 1\/8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*j**2 + 57*j**2 - 21*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1742)\/(-91) - (24 - 5)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1824733.\nAnswer: 911, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the third derivative of -p**9\/302400 + p**8\/50400 + p**7\/8400 + 17*p**5\/60 - 3*p**2. Let z(g) be the third derivative of k(g). Factor z(l).\nAnswer: -l*(l - 3)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 75 a factor of 1253925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes after 10:18 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*r**2 + 23*r**3 + 2*r - 30*r**3 - 2 - 2*r - 2*r**4 as d*r + x*r**2 + j*r**4 + p + o*r**3 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 9, u: 6, k: 1, a: 1}. What is prob of picking 1 a and 3 c?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 302 - 565. Let y = -173 - n. Suppose -y - 38 = -4*i + 4*t, -123 = -4*i + 3*t. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (a + 11 - 11)*(-3 - 1 + 0) as z + k*a and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252) + sqrt(28))\/sqrt(2))\/(sqrt(2) - -3*sqrt(6)\/sqrt(3)) + 0 + (-5*2*sqrt(7) + -4)**2 + -3.\nAnswer: 81*sqrt(7) + 713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4860\/(-216))\/((-150)\/40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5c8b (base 14) in base 6?\nAnswer: -202551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.038 and 9.2135.\nAnswer: 0.350113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/5 less than -844?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**2 - k + 1. Let c(m) be the first derivative of -4*m**3\/3 + 3*m**2\/2 - 5*m + 414. Give c(w) + 5*f(w).\nAnswer: w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 989.\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7\/6?  (a) 1  (b) -1  (c) -1\/4  (d) 13\/8  (e) 3\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(-11\/5)*g)\/(g\/g**(-8))*(g\/g**(-2\/11))\/(g*g\/(g*g\/(g*g*g*g\/g**(-7)))*g) assuming g is positive.\nAnswer: g**(-1101\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1830102 - 1035489. Suppose z + 309467 = 5*v. Suppose 2*x - 36816 = -v. Round x to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * 10831430.\nAnswer: 3249429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -7*c - 39. Let i be n(-6). Suppose -5*r = 25, i*l + 4*r = -0*l + 82. Calculate the remainder when l is divided by 2 + (-2 - 2) - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the first derivative of -4\/3*b**3 + 4*b**2 + 16*b - 1\/2*b**4 - 51. Factor d(z).\nAnswer: -2*(z - 2)*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -740 = 4*n + 3*m, -392 = 2*n + 17*m - 21*m. Let p = n + 199. Solve -p*z - 3 = -12*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f\/f**(-1\/8))\/f)\/(f**(-1\/9)\/f*f))\/(f**(-1\/10)*f\/f**(-6)*f*f)*(f**(-9)\/(f**(4\/5)\/f*f))**(-21) assuming f is positive.\nAnswer: f**(70969\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence al when two letters picked without replacement from {q: 1, l: 1, p: 4, a: 6, t: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/i**(-3))\/i*i**(-2\/5))\/(i**7*(i\/i**7)\/i))**18 assuming i is positive.\nAnswer: i**(234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let 3290*h**2\/11 - 718*h\/11 + 12\/11 = 0. What is h?\nAnswer: 6\/329, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 25760488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 22 - 24 - (-1 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -62145*a + 62348*a + 8526 for a.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -26, -39, -60, -89, -126, -171, -224?\n\"Answer: -4*g**2 - g - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and -0.5678.\nAnswer: 2.839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1\/312, -0.1, 5?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 624 + 444 = 0. What is the derivative of -48*r + 399 - k - 26*r wrt r?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**3 + 5*r**2 + 6*r + 3. Let l be d(-2). Is 6 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 738.7 - 739.0843. Let y = l + 36.4143. Round y to the nearest integer.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -34028 - -53199. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from alayl. What is prob of sequence lyaa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 6*d**3 - 2*d - 7. Let x(y) = 3 + 11 + y**3 - 19 + 4. Let n(f) = -4*f**3 + 33*f**2 - 13*f + 35. Let c be n(8). Determine c*x(q) + b(q).\nAnswer: q**3 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 34178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 + -6. Suppose -n = -g*n + 10. Suppose 0 = n*b - 20, -b - 31592 = 4*l + b. Round l to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**2 - 9*m + 81. Determine w(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from onz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -8 - -46849137?\nAnswer: 4684912a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((2 + sqrt(891) - (0 + sqrt(44)) - (-4 + (sqrt(539) + sqrt(11))*-1))**2 + 1).\nAnswer: 360*sqrt(11) + 5024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 132002 (base 6) to base 5\nAnswer: 341343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 340310033 (base 6) to base 2.\nAnswer: 10111100101100101000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-19 - 8220\/(-175)) + -28?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**2 - 6*o - 3. Suppose 0 = 6*g - 31 + 85. Let w be d(g). Suppose -3*a = -2*x - a + 96, 0 = -3*x - 3*a + w. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 1641 = -2*j - 1649, 5*r - 4*j = -29 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 17083007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.03 - 130284.\nAnswer: -130286.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in -13, 26, -14, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m + 1. Let y be (-3)\/(15\/9260*-4). Let d = 462 - y. Let q(t) = t + 1. Let l be 10\/(-6) + 3\/(-9). Give d*h(a) + l*q(a).\nAnswer: -a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = r - l, -2*r - 5*l + 10 = -11. Solve -6 = r*x + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/24)\/(13*9\/(-468)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -38 - -37. Which is the third biggest value?  (a) 2  (b) g  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from seemsmmeyes. What is prob of sequence msme?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1458) + sqrt(1458)*-1*-2 + sqrt(1458))*5)\/((1*2*sqrt(12))\/((sqrt(28)\/sqrt(2))\/sqrt(7))))**2.\nAnswer: 24300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-3))\/((-5)\/(-30)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 19*d**3 + d - 2. Give j(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4523 divided by -6?\nAnswer: 4523\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(85) - sqrt(85)*-1*-2 - 6*(sqrt(85) + sqrt(85)*2))*6)\/((sqrt(240)\/sqrt(100))\/sqrt(12)*-4).\nAnswer: 285*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -20254 - -20258. Factor 10*u + 3\/2*u**2 - 35*u**3 - 2 - 49\/2*u**y.\nAnswer: -(u + 1)**2*(7*u - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*g + 18 - 18 + (0*g + 3*g - 4*g)*(-2 + 2 + 2) - 2*g - 1 + 1 to the form r + q*g and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10021 - 2112112010202?\nAnswer: -2112112021000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 5*l**3 - 7*l**2 - 10*l - 11. Is c(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -53\/85 + 2\/85. Let h = 30 + -34. Let s = -0.8 + 0.3. Put s, q, h in ascending order.\nAnswer: h, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 282*x**2 + 279*x**2 - 6 + 1.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 12 + 2*h - 7 - 2*h + h**3 - 6*h**2. Let s be x(6). Solve -2*o + 12 = -s*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**2 - 5*n + 6. Let z be w(-6). Factor 0*t**3 + 0 + z*t + 1\/4*t**4 + 0*t**2.\nAnswer: t**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10, -29, -44, -49, -38, -5, 56, 151?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 - b5c5?\nAnswer: -b5c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (30\/(-660))\/((-4)\/72*3)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m - 2. Let w be n(-3). Let t(h) = -1. Let u(y) = 6*y**2 + 24. Let a(f) = w*u(f) + 24*t(f). Let v(b) = 4*b. Calculate a(v(x)).\nAnswer: 96*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**3 - 240*d**2 - 1098*d - 31123. What is k(245)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 791 and 65879.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*z + 36 = -4*d, 783*d - 785*d = z + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10 - -12. Let w = -16288 - -16291. Which is the closest to n?  (a) 0.5  (b) 2\/9  (c) -0.6  (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2333, -6 in increasing order.\nAnswer: -2333, -6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d + d + 9. Let v = -3\/13 + 47\/91. Factor -v - 6\/7*g**2 + 2\/7*g**d + 6\/7*g.\nAnswer: 2*(g - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + -2. Let r = 810 + -63988\/79. Are i and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of 1\/9*y**4 + 2*y + 0*y**2 + 0*y**3 + 0 - 1\/30*y**5. Factor c(z).\nAnswer: -2*z**2*(z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -69 - -9a4?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2827)\/(-1542)*12\/33?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -12269\/7 - -1753. Is -1\/20 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 + 19. Calculate the lowest common multiple of 6 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 2*y**2 - 29*y + 33. Let g be n(13). Let b be (-4 + 5)*g + (10 - 8). Let v = 4.6 - -1.4. What is the closest to -2 in v, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 299764?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*k*q**2 + 9*k*q - q**3 + 440*q**2 + 4053*q wrt q?\nAnswer: -12*k - 6*q + 880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**2 - 36*r - 69. Give g(-34).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -26.991 + -0.009. Let q = l + 27.3. What is the second biggest value in q, 1\/4, 1\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = j + 2782 - 317, 9902 = 4*t + 3*j. What is the greatest common divisor of 14 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k + 12*b - 11*b = -2, -k - 4*b = 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is three sixteenths of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/4)\/(((-3)\/3)\/(-12)). Let a = z + -4. Suppose 5*f + 3*u - 20 = 0, 5*f + a*u + 3 = 23. Solve f = -2*c + 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2521*g**4*h**2 + 8*g**3*h**2 - 2*g**3 - 120*g**2*h - 2*g - 2*h**2 - 5 wrt g?\nAnswer: -60504*g*h**2 + 48*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1420248847?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -2*m**2. Let n(f) be the second derivative of 2*f**4\/3 - 9*f**2\/2 - 12*f. Let g(a) be the first derivative of n(a). Determine g(p(d)).\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26048*q - 18288 = 25540*q for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -1, 3\/7, 12.\nAnswer: -1, -0.4, 3\/7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -35016 + 64139. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * -55.7\nAnswer: 11.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 20 + -19?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*l**2 + 22223748*l - 22223744.\nAnswer: -4*(l - 5555936)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 4*g - 13 = 0, 5*y + 0 = -4*g + 3. Is -1 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 20*g**5 + 2*g**3 - 160*g. Let h(o) = -10*o**5 - o**3 + 80*o. Let q(b) = 13*h(b) + 6*i(b). Find the second derivative of q(l) wrt l.\nAnswer: -200*l**3 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = w - b - 1, -2*w = 4*b + 6. Let q = w - 1. Is 0 + q + 35 + -2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -48.58 + 49. Let r = 0.08 + g. Let f = 3.1 - 3. Which is the closest to f?  (a) 0  (b) 5  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cci when three letters picked without replacement from {e: 1, c: 5, i: 6, j: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*u - 55*u - 5 = 0. Let d(o) be the second derivative of 1\/24*o**4 + 1\/20*o**u + 0 + 1\/60*o**6 + 0*o**2 + 0*o**3 + o. What is y in d(y) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4278 - -4276. Which is the closest to -1?  (a) 0.4  (b) 2  (c) f  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j\/(((j*j**(8\/5)\/j*j)\/j)\/j)*j\/j**(-8\/9)*(j*j\/j**(-2\/19))\/j*j*j**(-4\/5)\/j*j)**38 assuming j is positive.\nAnswer: j**(7856\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1863578117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -2*x**3 - 133*x**2 - 67*x - 71. Let q be h(-66). Which is the nearest to -3?  (a) 2\/9  (b) q  (c) -5\/6  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -14\/9 in 2, 0.4, -0.23, -1648?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 - 6*k**2 + 7*k - 7. Let x be a(5). Suppose -4*z + x*g = -283 + 51, g + 240 = 4*z. What are the prime factors of z?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - (-4 + (1 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 6914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -105 + -5246613?\nAnswer: -5246720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15 - 48. Let t = j - -47. Calculate the remainder when t is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the third derivative of q**2 + 0*q**3 + 1\/12*q**4 + 0 + 0*q. Let r(k) = 600*k**2 - 297*k**2 - 292*k**2. Calculate r(o(x)).\nAnswer: 44*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.08 + 0.02. Sort 5, d, 1\/3.\nAnswer: d, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -4*q - 14. Let x = -3 + q. Let d = 3 - x. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17212 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-4))\/(((-35)\/(-28))\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000007908475 rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the first derivative of 4*i**3 + i**2\/2 + 21*i - 202. Find the second derivative of c(q) wrt q.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 892557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -8*k**4 + 8*k**3 + 2*k**2 - 147*k + 35. Let u(z) = z**4 + 4*z**3 - z + 12. Let i(w) = -q(w) + 2*u(w). Find the second derivative of i(v) wrt v.\nAnswer: 120*v**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20 + -12. Let p = -6 + 10. Suppose 4*r = 2*b + 106, 3*r + p*b = -0*r + 52. What is the highest common divisor of q and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:06 PM and 9:09 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 16 = -4*r. Solve 2*n - 2 = -r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 285 + -265. Solve -g = -4*s + m, 3*g - 4*s = -2*g - 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1296787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.1  (b) 2\/13  (c) -5  (d) 296\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*2*sqrt(187) + sqrt(187))\/(sqrt(55)\/(sqrt(15)\/sqrt(3))).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/11 or -6428?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5101, -10007, -14715, -19225?\nAnswer: -23537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the second derivative of -3*z**5\/40 + z**4\/12 - 5*z**3\/3 - 7*z. Let b(i) be the second derivative of q(i). Differentiate b(m) with respect to m.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**2 - 12*d + 8. Let v(w) = -2*w + 1. Let b(l) = r(l) - 3*v(l). Let z(m) = m**2 - 11*m + 19. Let f = -3 - -11. Let p be z(f). Calculate b(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the first derivative of t**2\/2 - 9*t - 1. Let o be -1 + -2 + (4 - -4). Give a(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:48 AM and 4:27 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 0 - -16 - 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 476 is divided by 469.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**3 + 9*a**2 + 2*a + 10. Let x be j(-9). What is the hundreds digit of (-838)\/x + 13\/52?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 2) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the first derivative of 131*h**4\/4 - 2*h**3\/3 - 3*h**2\/2 + 12*h - 17. Let l be u(2). What is l rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**3 - 14*t**2 + 12*t + 17. Let i be c(13). Suppose 3*m - 5*m + 442 = i*n, 5*n + m - 554 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*a*b*h**2 - 4*a*h**2 - 2001*a*h + 38*b**2*h**2 - 159*b*h - 3*h**2 + 2*h wrt b?\nAnswer: -2*a*h**2 + 76*b*h**2 - 159*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 + 10. Suppose -2*f + 48 = -i*a, -f - 5*a = 3*f - 31. Suppose -5 = -b + 5. What is the smallest common multiple of f and b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhhckck. What is prob of sequence kkh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -257 (base 12) to base 3.\nAnswer: -111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/((-6)\/(-2))*-7. Let g = -3 - w. Solve 18 - 2 = -g*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -16e6ba - 5?\nAnswer: -16e6bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 988579.7 centimeters?\nAnswer: 9885797000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119*d - 6 = 118*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -4, -22.6, 0.3, -1.4323, -2 in increasing order.\nAnswer: -22.6, -4, -2, -1.4323, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1171409500?\nAnswer: 2, 5, 2342819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -4313*w**2 + 384*w + 22. Let h(m) = 8627*m**2 - 769*m - 52. Let z(l) = -3*h(l) - 7*r(l). What is the second derivative of z(k) wrt k?\nAnswer: 8620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 79, 48611 in ascending order.\nAnswer: 4, 79, 48611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - 21 = 2*i, -7*i + 6*i - 293 = 146*a - 1025 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ryx when three letters picked without replacement from rnrnhxnynyrn.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - 3*q)*(0 + 1 + 1) + 16*q - 62 + 62 + 6*q + 6*q - 1 - 4*q.\nAnswer: 18*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 3, r: 1, e: 5, q: 1, u: 2}. Give prob of picking 2 u and 1 q.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-24)*3 + -10 + 11095\/1960.\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**2 - m**2 - 3*m**2. Let t(f) = -3*f**2. Give n(t(z)).\nAnswer: -27*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12121212122120 - 2101?\nAnswer: 12121212120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 852368 and 319638.\nAnswer: 2557104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Do -559 and -560 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jzzjjtzzjzzzjjzjzz. Give prob of sequence zztz.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 14 = -2*x, 18 = 2*h + 5*x + 5. Suppose -p + 5*p - h = 0. Calculate the least common multiple of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {b: 3, l: 7}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 233 or 1628\/7?\nAnswer: 1628\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 49 + -62 - (-1 - 12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + (-5*sqrt(11)*-1 - (sqrt(88) - sqrt(88)*1)\/sqrt(8)))**2 + (sqrt(66) + sqrt(66) + -5*sqrt(66)*-1)\/(sqrt(54)*3) + 2 + 1)*-4.\nAnswer: -1116 + 332*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o + 2*o - o)*(-4*o + 3*o + 2*o) - o**2 + 0*o**2 - o**2 + 13*o**2 + 20*o**2 - 2*o**2.\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 858*p**3 - 414?\nAnswer: 2574*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(100)\/sqrt(4))\/sqrt(5))**2 - (-4*sqrt(30)\/sqrt(6))**2) + 2 + 3*(sqrt(405))**2.\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/36 and 39\/7016?\nAnswer: 63144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 2*w**3 + 1 + (-6 - 3*w + 6)*(23 - 23 - 7*w**2) to the form v*w**2 + i*w + j*w**3 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 20*w**2 - 905*w + 228. Give c(45).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of (45\/(-10))\/(3\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-7)\/(35\/24)*10. Let z be -7500*(-2 + f\/9). Round z to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/4))**(-50)\/((c*c\/((c*c**10)\/c*c))\/c**(-11)) assuming c is positive.\nAnswer: c**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 845  (b) 1  (c) -3.0509\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*w = 5*j - 279 + 193, 5*j = -10 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 25870422 or 25870397?\nAnswer: 25870422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8\/(40\/25) - -102. Let p(s) = -s**3 + 16*s**2 - 20*s. Let l be p(14). Let j = l - d. Solve w - 20 = j*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.4 + 0. Let o = v - 0.3. Is o >= 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -3*f + 6. Let c(i) = -2*i + 5. Let k(d) = -5*b(d) + 6*c(d). Let p = 10 - 8. Let t(w) = -3*w**p + 22*w - 13*w - 9*w. Determine k(t(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*q - 0*q - 54. Let y(g) = -2*g - 16. Let d be y(q). Let j be 1 + 2*d\/2. Solve s - 8 = -j*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17\/(-170)*1\/(-4)*2340\/(-78)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t + 119. Let i(u) be the first derivative of u**2 - 181. Determine i(v(f)).\nAnswer: 2*f + 238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c*(c*c*c**(2\/5))\/c*c))\/c)\/((c\/c**(-6\/17))\/c) assuming c is positive.\nAnswer: c**(-319\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3144496 and 21104.\nAnswer: 3144496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9277 and 2615510995?\nAnswer: 9277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 12.334741 to 2 decimal places.\nAnswer: 12.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -55*v**5\/8 + 2417*v**4\/4 + 12969*v**3\/4 + 4653*v**2\/2 - 44307*v\/8 - 2511\/4 = 0.\nAnswer: -3, -6\/55, 1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {q: 6, u: 3, b: 5, r: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*d - 46189 - 13931. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 2*w = -w - 3, -5*o + 2*w = -15. Suppose o*q + 4*n = 105, -5*n + 68 = 4*q - 72. Suppose -7 + q = 2*s. 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 biggest value in 9, -9, -2972, -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -709*j - 6872. Determine r(-10).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 24492 and 3094.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 92 = 3*q, 0 = 3*q - 19 + 7. Calculate the greatest common divisor of 300 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -163*y - 403. Let n(p) = 40*p + 100. Determine 3*g(c) + 13*n(c).\nAnswer: 31*c + 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**2 - 13*d - 40. Let t be h(-6). Sort t, -2, 7 in decreasing order.\nAnswer: 7, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes after 10:50 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes before 1:59 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -126*q + 6425. Give r(52).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 670, 1327, 1984?\n\"Answer: 657*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-5\/6)\/q)\/q**(-3\/5)*(q*q*q**(-3\/8))\/q**(-4) assuming q is positive.\nAnswer: q**(527\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 2830 = -10*a - 465. What is the remainder when a is divided by 101?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12201222112121100 + -12?\nAnswer: -12201222112121112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -5*g, 8*w = -26*w + 31*w - g + 14 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (0 - ((-154)\/35)\/(60\/25))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the first derivative of -5*i**4\/4 - i**2 - i + 4. Let m(c) = c**3 + 3*c**2 - 3*c + 3. Let v be m(-4). Is l(v) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2 - (3 + (-3058)\/253)) + -7. What is the biggest value in -15, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 964067754?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3678 is divided by 1488.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*i - 16*i + 400. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -76615141, -76615139, -76615137?\nAnswer: -76615135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6\/58*(-1 + 2). Let i = -2.01 - -1.91. Which is the second smallest value?  (a) i  (b) -1  (c) n  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 + 505.\nAnswer: 504.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-530)\/(-45) - 2\/(-9). Suppose -4*m + 2*j = 6, -8 = -5*m - 3*j + d. Let l be m - 2 - (-1 - 2). Solve -l*c = 2*c + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 356*p - 10681. Calculate g(30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2755683 a multiple of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-3 + 5 + -2*sqrt(2))**2 - (1 + (sqrt(10) + sqrt(60)\/sqrt(6))\/sqrt(5) + sqrt(2))*2.\nAnswer: -62 + 34*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 20 = k, -q - 3*k = -2*k - 10. Suppose -3*x + 0*l + l + 9000002 = 0, -5*l = q. Round x to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 742480 is divided by 247391?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1666\/(-6) - 4\/(-6). Suppose -s = -7*s - 1032. Let g = s - y. What is the greatest common factor of 15 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = z + 19, 10 = -2*z + 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/37982 and 55\/16278.\nAnswer: 113946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7790*z + 7785*z - 4*c + 18 = 0, -4*z + 15 = 3*c for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**3 + 11*p**2 + 11*p + 14. What is t(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are -370843 and -370842 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 5, k: 1, e: 4, h: 1, p: 1}. Give prob of picking 1 p, 1 h, 1 e, and 1 k.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(1\/2))**23 assuming r is positive.\nAnswer: r**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*l + 92 + 7 + 40 + 15 - 26 - 34.\nAnswer: 2*l + 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14 - 12. Let d(f) = 16*f - 134. Let l be d(9). Solve j*z = -3*z + l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 89*r**4*y + r**4 - 4*r*y + 802*y wrt r.\nAnswer: 356*r**3*y + 4*r**3 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -5937962 < -5937963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yssyeyycyysyssycls. What is prob of picking 2 y and 1 l?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 8449 times 79307\nAnswer: 670064843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.1 - -5.9. Let t = -6.996 + d. What is t rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 42845 and 7585.\nAnswer: 1585265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4244864159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 13*g**2 + 4*g + 19. Suppose -6 = 6*t + 18. Let w(k) = 13*k**2 + 5*k + 18. Let p(h) = t*w(h) + 5*j(h). Differentiate p(n) wrt n.\nAnswer: 26*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + q - 16 = -q, -4*w - 3*q = -28. Suppose w*f = -f. Solve f*b = -3*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.4, 3, 12680, -6\/11, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1172 + 107?\nAnswer: -1065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 - 2*i + i + 3*i - 1 + i**2. Suppose -22 = -4*u + 5*c, -u - 1 = -35*c + 37*c. What is t(u)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -3*r**2 - 2*r**3 - 4*r**2 + 9 - 53 - 16*r + r**3. Let h be f(-6). Let x = h + 64. Calculate the greatest common factor of 32 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) -2\/113  (b) -3  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -21.4 + 37.5. Let h = 14 - f. Let w = -1.9 - h. Which is the biggest value?  (a) w  (b) -2  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -27\/22788839 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h\/(h*h**1\/h*h))**31\/(h**(-2\/5))**(-9) assuming h is positive.\nAnswer: h**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -7*z - 13. Let d(w) = 6*w + 13. Let t(n) = 5*c(n) + 6*d(n). Let l be 2 - 0 - 10\/(-2). Calculate the smallest common multiple of t(l) and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -21\/1424 and -63\/16?\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 + -2 - -128*5. Let t = b - 5750\/9. Suppose r = 4*r. Which is greater: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 10 = 5*o + 3*x, -x - 7 = 4*o. Let u be ((-4)\/(-105))\/(2\/(-11)). Let l = u - 4\/21. What is the smallest value in 2, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + -140231034?\nAnswer: -140231040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((0 + (sqrt(171) - (-3 + sqrt(171))*-2))**2 - (-3*sqrt(171) + 3)*-1) + 0)*-2.\nAnswer: -3156 + 234*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4.6 + 6834.254.\nAnswer: 6838.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 324*s - 78*s - 78*s + 73 - 175*s to x + y*s and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-2\/3)\/j**(-41)*j**3*j\/j**4 assuming j is positive.\nAnswer: j**(121\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 234 and 66?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**3 - 3*y**2 - 6*y + 8. Let o be v(4). Suppose o = -2*f - 4*n + 1176, 2*n + 1 = n. What is f 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 remainder when 36072902 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*r**3 + 228792*r**2 + 3271611204*r.\nAnswer: 4*r*(r + 28599)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 116 is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + -d18e6?\nAnswer: -d18e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k - 5*k + 4*k)*(4381 - 1354 - 442 + 984 + 2979).\nAnswer: -13096*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 42*j + 559. Calculate the smallest common multiple of 72 and v(-13).\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1.4 and 26.862370421171.\nAnswer: 25.462370421171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/91088 and 9\/893801.\nAnswer: 14300816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 9870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v + 3*a - 14 = 0, a + 120 - 116 = 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -172 - -28831?\nAnswer: 2868c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -46397, -92783, -139169, -185555?\n\"Answer: -46386*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -186540296789*l + 186540296789*l + l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add 279843933 and 118.\nAnswer: 279844051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sum 75489 and -76.4.\nAnswer: 75412.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 84 and 77?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 2 t when four letters picked without replacement from {v: 7, j: 4, y: 3, z: 1, t: 4, s: 1}?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1345065 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * 1950.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75150?\nAnswer: 2, 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -16 - -36. Suppose -3*a + p = a. Calculate the remainder when 15 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1049554477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a + 2 - 2*a + 0 + 0 - 1. Suppose 0 = -0*d + 2*d - 2*c, -3*d + 4 = -c. Give b(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 21103 - 4514?\nAnswer: 12145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h - 145 = h - 4*c, 0 = -c. Suppose 0 = -5*u + h + 216. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0523586 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 i when three letters picked without replacement from llllllillllllllllill.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 651 - 661. Let x = -59.5 + 49. Let b = x - w. Put 0.2, -3, b in descending order.\nAnswer: 0.2, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 10:15 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-140)\/(-15)*(340\/(-119)*210\/(-48) + -20)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 49 = -2*z + 11, -4*z = 0. Let l be (-7)\/30 - (-6)\/j. Let d = -0.12 + 5.12. What is the nearest to 1 in 3, d, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3719721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*z - 11*z - 66. Let j(r) = -32 + 23*r - 22*r + r**2 + z. Let h(q) = q**2 - q + 4. Determine -h(w) + 2*j(w).\nAnswer: w**2 + 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 303976 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1521, -6097, -13727, -24411, -38149, -54941?\n\"Answer: -1527*j**2 + 5*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - 6 - 16. Suppose 3*o + y = -2*o - 4*i, -7 = o + 2*i. Is -3*(o - 2)*12 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -26.25 - -22.25. Which is the fourth smallest value?  (a) -2  (b) -6  (c) q  (d) 1\/5  (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-84)\/(-36))\/((-14)\/(-72))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 117*f**3 + 45777733*f - 45777733*f.\nAnswer: 117*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 5 - h**2 + 4*h**2 + 0 wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1177, -1092, -951, -754?\n\"Answer: 28*x**2 + x - 1206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 4*s = -72. Calculate the remainder when s is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37956523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -171*r - 16278 = -15936 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 362 divided by -159.\nAnswer: -362\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59587 is divided by 118.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 282 - 5?\nAnswer: 27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (2 + 1 + sqrt(147)*-1 + 3 + -4 + -3)**2.\nAnswer: 14*sqrt(3) + 143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.6 * 2.8316\nAnswer: -1.69896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 21 and 1349474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c + 4*r = 19, -3*c - 24*r - 11 = -26*r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 2*o = 18. Let l(g) = -2*g + 2. Let w(b) = -b + 1. Let t(a) = -6*l(a) + 11*w(a). Let r be t(6). Solve -r*d + 2 = -o*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 + 3. Let g = d - 4. Which is the closest to g?  (a) -3\/7  (b) -1  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 17*c**3 + 18*c**2 + 13*c - 256. Let u(v) = 8*v**3 + 10*v**2 + 6*v - 127. Let d(i) = 6*f(i) - 13*u(i). Differentiate d(b) wrt b.\nAnswer: -6*b**2 - 44*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 2 s when four letters picked without replacement from sgssgsggssgssssssgs.\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -48*y**2 + 10*y + 149. Let z(n) = -77*n**2 + 16*n + 223. Let o(l) = 8*s(l) - 5*z(l). Give o(0).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -92081 - -1?\nAnswer: -92080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 4*a**2 + 39*a + 25. Let v be k(-11). Suppose 4 + v = 6*d. Solve 0 = -6*y + d - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 24.2 - 21.2. Put z, -4, 1\/3, 0 in increasing order.\nAnswer: -4, 0, 1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the third derivative of -g**6\/40 - g**5\/12 + g**4\/3 - 2*g**3 + 8*g**2. Let i be y(-5). What is the highest common divisor of 18 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36381492 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -29410, -29504, -29598, -29692?\n\"Answer: -94*b - 29316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (228306\/5304 - 43)*12\/45?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 253 + -113. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from {v: 4, b: 1, w: 1, d: 2, p: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**2\/5 + 19524*p\/5 - 47648322\/5.\nAnswer: -2*(p - 4881)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -15 - 5 + 10 - 2 - t**2. Determine v(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 30936180 and 542740.\nAnswer: 30936180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes before 5:49 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(153) - -6*((2*sqrt(153) - sqrt(153)) + sqrt(153)) - (sqrt(153) + sqrt(153) + 2 + sqrt(153) + 0 + sqrt(153))) + 5)**2.\nAnswer: 216*sqrt(17) + 12409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 43, 42, 49, 70, 111, 178?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -1 - ((-1 - 6) + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eighteen fifths of a millennium?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 - 3)*(-2*m + 4*m + 0*m) + m - 4*m + m - 611*m + 3512*m - 922*m + 3789*m.\nAnswer: 5762*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 85*j**2 + 2635*j - 1320*j - 8 - 12 - 1315*j to the form p*j + h + b*j**2 and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11 + -35. Let c = o + 36. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 4 + 3 - 6 + 4*z**2 - 3*z**2. Suppose 0 = 2*k + k. Let f be w(k). Solve -f + 3 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (28\/1078)\/(((4\/21)\/2)\/(112\/84))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 9\/(-30) - (-2651999964)\/(-120). Round h to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-190)\/4*(-1 - (3 - 2)) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - -3) + (3 - (-3 - -10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gxxxxxxxxgxgxxgxgxx?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 55705589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 40 - (-18 + 54) - 27.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 618594?\nAnswer: 2, 3, 103099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27526.\nAnswer: 2, 13763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 15 and 931.6995.\nAnswer: 13975.4925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Do -22 and -0.27199 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.59 - -1.452. What is l rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7478?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 114013472.\nAnswer: 2, 911, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in twenty-seven fifths of a meter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 + 0. Suppose -3 = -r*g + 177. What is the remainder when g is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the third derivative of d**6\/600 - d**5\/300 + 26*d**2. Factor b(c).\nAnswer: c**2*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8446223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -23 + 32. Let p(l) = l - 6. Let a be p(r). Let x(d) = 4*d + 1. Let y be x(1). Solve -12 = v - a*z, y*z - 18 = -5*v + 22 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 183 - 184 - (-18 + 1 + 148)?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 98 and -0.065?\nAnswer: -6.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 138701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4463729?\nAnswer: 4463729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 856671?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -2145240.\nAnswer: -1\/715080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 8257829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8707 is divided by 175.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-36)\/18)\/(1\/(-2)). Let h(m) = -m - 4. Let t be h(-6). Solve -c*w + t*w = -8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 2*w - 10. Suppose 0 = 9*s - w*s - 42. Let h(d) = 7*d - 7. Let n(u) = -6*u + 6. Give s*n(x) + 5*h(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (251*o**2 - 787 + 787)*((3 - 5 + 4)*(-6 + 2 + 1) + 1 - 3 + 3).\nAnswer: -1255*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2444520 a multiple of 3134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 217103*g - 113693*g + 638422*g.\nAnswer: 741832*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -42 + 70 + (-18 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(252))**2 + -5 + sqrt(252) - (sqrt(35) - (-6*(sqrt(35) + sqrt(70)\/sqrt(2) + sqrt(35)) - sqrt(35)))\/sqrt(5).\nAnswer: -14*sqrt(7) + 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -18*l**2. Let t(d) = 9*d**2. Suppose 0 = 18*s - 45*s + 6*s + 273. What is s*t(a) + 6*j(a)?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Expand -3*c**5 - 4*c**5 + 5*c**5 + (3*c + 3*c - 4*c)*(353*c**4 - 110*c**4 + 244*c**4).\nAnswer: 972*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -0.1  (b) 408  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 times -7?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t**4 + 793*t**3 + 39*t**2 - 30857*t - 55510 = 0. What is t?\nAnswer: -5, -2, 7, 793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 183151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 - 1. Let x be (k\/(-4))\/((-3)\/30). Suppose 0 = 3*w + x*c - 54, w + 3*c - 61 = -3*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**3 + 30*r**2 + 58*r + 62. Calculate the lowest common multiple of h(-28) and (2 - 5) + 18\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -5*s**2 + 326*s - 22797. Let d(l) = -4*l**2 + 320*l - 22798. Let c(h) = 4*d(h) - 3*g(h). Factor c(m).\nAnswer: -(m - 151)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) 3\/2  (c) -3\/8  (d) 6  (e) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 118658117549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -644, -1956, -4010, -6794, -10296, -14504, -19406, -24990?\n\"Answer: 2*l**3 - 383*l**2 - 177*l - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**3 + 9*s**2 - 2*s - 5. Let r be q(8). Let n = 140 + r. Let x = n - 101. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.0228832 and -2443.2.\nAnswer: -2443.2228832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4475 - -4512. Solve 14 = -3*l + a, 4*l + z = -30*a + 35*a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 506 and 39721.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6  (b) -2\/3  (c) 1\/7  (d) 0.1  (e) -0.3  (f) 154\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -27\/115654 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, n: 13, b: 2, v: 2}. Give prob of picking 1 v and 1 b.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**2 - 1588*t - 9599. Give p(-6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.5  (b) -10  (c) -8.1  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3608 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 3*n - 148. Determine p(14).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 64.86 + -59.8. Let p = j + -0.06. Which is the closest to -2\/7?  (a) p  (b) -0.2  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 190\/1425 + (-2)\/(-10) + (-40925)\/(-3).\nAnswer: 2, 19, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:05 PM and 10:51 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 88 and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 11) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -403784 - -1370239?\nAnswer: 966455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 6, g: 4, j: 2}. What is prob of picking 2 l?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 57960\/288 + (-5)\/20 and 1072.\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -21854 - 2?\nAnswer: -21856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**3 + 3*p**2 - 22*p - 57. Let s be q(-5). Solve 6*c - 3*w - s = 4*c, -2*c = 3*w + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15893 divided by -1?\nAnswer: -15893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 30 = -5*h, -11*z + 9*z + 22 = 4*h. Solve -2*y = -2*s + 8, -6*y - 20 = -h*s - 4*y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*p - 4395 = -158*p - 303 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n - 8, 0*h - 14 = 3*h + 5*n. Suppose 0 = -h*s - 5 + 9. Solve m = s*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the third derivative of 1\/15*v**5 + 0*v + 0*v**4 - 3*v**2 + 1\/30*v**6 - 1\/84*v**8 + 0 - 2\/105*v**7 + 0*v**3. Factor n(s).\nAnswer: -4*s**2*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -46, 13.73, 39?\nAnswer: 13.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -2*i**3 - 3*i**2 - i + 11. Let c(y) = 3*y**3 + 5*y**2 + y - 16. Let r(m) = 7*a(m) + 5*c(m). Calculate r(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 - -10. Suppose -2*k = 5*d - 0*d + 32, 2*k + 14 = s*d. Let j(g) = 6*g + 1. Let n(u) = u. Give k*n(z) + 2*j(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 86709761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2*a**3 + 30*a**2 - 10. Give s(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 11 = -7. Let m be (-4)\/g - (-5)\/(-12). Which is the third smallest value?  (a) -3  (b) m  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange j - j**2 + 5*j**3 + 1 + 3*j**2 - 2*j**2 to the form x*j + b*j**2 + p*j**3 + r and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -6, 1\/4, -82.871, 0.2, 31?\nAnswer: -82.871","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 76511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-4)\/(-2))\/(1 - -1). Let s(t) = 2*t**2 + 4*t**2 - t**2 + t. Is s(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1623*l**2*m**2*u**2 + 3*l*m**2 - 2*l*u**2 - 2*m**2*u**2 - 117*u**2 wrt l?\nAnswer: 3246*m**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13233 and 423?\nAnswer: 1865853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 5 + 3)*(0 + 2*s + 0)*(3 - 3 - 2*s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that s**2 + 5483*s - 21948 = 0.\nAnswer: -5487, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 - -cc?\nAnswer: c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.6 and -14.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 10 and -10889860.\nAnswer: -108898600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 13*h + 3. Let s(i) = 320 - 2*i - 322 - 2*i - 3*i. Suppose 10*r - 6*r = -12. What is r*d(x) - 5*s(x)?\nAnswer: -4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 30*u**2 + 69*u - 13. Does 88 divide t(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 282041 and 4042?\nAnswer: 277999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 38\/(-836) - 456\/3762\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:10 AM and 11:58 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3101327 a multiple of 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -227608, 4, 1.\nAnswer: -227608, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6930)\/8085 - ((-2)\/1 + 12))\/((-6)\/(-21)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = 95 + 40. Let i = r + 48. Solve g = -0*g - 4*o - 9, 0 = -i*g + 5*o - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ou when two letters picked without replacement from uooyodoouoodoooo?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -80, -93, -106, -119, -132?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 2*c - 7 - 5 = 0, -t - c = -10. Suppose 3*r + 8 = 5*q, -q = -0*r + r - t. Let d be 45\/12 - (-1)\/r. Solve 3*s - 12 = -d*z, -3*s = s + 3*z - 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15*z + 3*z + 11*z + 3)*(2 - z**2 - 2).\nAnswer: z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -25.5 + 26. Put t, 3, -0.2, 1 in decreasing order.\nAnswer: 3, 1, t, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -5*y + 45, 2*a - 3*y + 7*y = 28. Suppose a*k - 5*m + 1 = 0, k + 2*m - 40 = -4*k. What is the highest common divisor of 384 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 45486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*x + 17 = 72*x - 52*x + 3*b, b = -18*x + 41 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**2 + 70*k - 336. Calculate l(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - -1 - (-39 - (-51 - -21)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -70 - -75. Let f be 2*1 + 0\/(-3). Suppose k + w*b - 1599994 = 3*b, 0 = f*k + 2*b - 3199994. Round k to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-138)\/46*(-3599)\/177\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 58 - 58.2. What is the nearest to -1\/2 in -2, n, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4359 by -123.\nAnswer: -1453\/41","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Round 502370 to the nearest ten thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 381 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6 by 83588.\nAnswer: 3\/41794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/7, -35, 7\/5, 1\/3, 2\/27 in decreasing order.\nAnswer: 7\/5, 1\/3, 2\/27, -4\/7, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3680 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 7, o: 4, b: 2}. Give prob of sequence bu.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*i**3 + 3 - 3 + (52*i**2 + 19*i**2 - 24*i**2)*(1 - 1 + 3*i) + 0*i**2 - i**3 + 0*i**2.\nAnswer: 138*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 533916, 533919, 533922, 533925?\n\"Answer: 3*g + 533913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 78805\/6 - 13134. Determine d, given that 0 - 1\/3*d**2 - v*d = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 332149 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 59\/6 - 1333\/138. Suppose 0 = -145*l + 131*l - 14. Which is smaller: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-27)\/2)\/(-9))\/(147\/1568)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*k**3 - 21180*k**2 - 21171*k\/2 - 1323 = 0. Calculate k.\nAnswer: -882, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**2 - 11631*t + 81507. Determine v(7).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 201687967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 132894 and -0.0205?\nAnswer: -2724.327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 338 and 1104493?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 55 is divided by ((-6)\/8)\/(10\/(-680)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -3*l**2 + 2*l + 2. What is t(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 28 + -22.3. Let w = -6 + n. What is the smallest value in w, -0.1, 3\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -42\/90593 or -1?\nAnswer: -42\/90593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 23, 42, 59, 74, 87, 98?\n\"Answer: -b**2 + 22*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 499 divide 397670565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 180660 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the second derivative of -13*c**5\/10 - 7*c**4\/12 - 7*c**3\/6 + 7*c**2\/2 + 157*c. Let w(q) = -17*q**3 - 5*q**2 - 5*q + 5. What is -5*j(f) + 7*w(f)?\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 26*8\/(-224)*-14\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4\/21  (b) 0.177  (c) -0.2  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3603 - (5 + (3 - 5)). Let k(b) = b + 10. Let p be k(-8). Suppose 0*y = p*y + f. What is y rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 10330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**2 + 4 - 8 - 18*w + 3 + 6*w. Determine j(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*i**3*r**3 - 50*i**3*r - 2*i*r**2 + 33*r**5 wrt r?\nAnswer: 12*i**3 + 1980*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0.1  (b) 38  (c) 0.4  (d) 1\/26  (e) -2  (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 9382.763 centimeters?\nAnswer: 93827630000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 2*o + 6. What is t(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15954, 1\/3, 1, 0.014 in descending order.\nAnswer: 1, 1\/3, 0.014, -15954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 101742944?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 78\/38 - 2\/1. Let t = -15311\/665 - -814\/35. Let l = q + t. Which is greater: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31060.\nAnswer: 2, 5, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 25.77544 times -3\nAnswer: -77.32632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence llpp when four letters picked without replacement from {p: 3, l: 11}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1752258335.\nAnswer: 5, 23, 15237029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104)*-1*2)\/(-4*sqrt(8)*4).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uc when two letters picked without replacement from ueccuuccbcuuubjwb?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13043 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 - 5*h + 6. Let j = 7 - 3. Let i be w(j). Let c = 6 - 2. Calculate the greatest common factor of i and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7.7 + -7.3. Which is the second biggest value?  (a) -12  (b) w  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4845.067ng in milligrams?\nAnswer: 0.004845067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the second derivative of x**4\/12 - 3*x**3\/2 + 7*x**2 - 2*x. Is q(10) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3\/2*b**2 + 0*b + 0 + 3\/4*b**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2657*f**3 + 7*f**2 - 38*f - 13 wrt f?\nAnswer: 15942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, s: 3, g: 6, c: 1, a: 4}. What is prob of picking 1 g, 1 a, 1 y, and 1 s?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -12577 != -12576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 371638 is divided by 152.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*y**4 - 11 + 11)*(-y + 5 - 3 + 2*y).\nAnswer: -10*y**5 - 20*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 47.46488g to tonnes.\nAnswer: 0.00004746488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -14191, 0, -1 in increasing order.\nAnswer: -14191, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 6*h**4\/7 + 6670*h**3\/7 - 28990*h**2\/7 + 29010*h\/7 - 6696\/7 = 0.\nAnswer: -1116, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 12\/29 in -4, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8 and 4096.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 93*x**2 - x**4 - 296*x**5 - 154*x**5 - 5*x**2 + 442*x**5 wrt x?\nAnswer: -480*x**2 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) -2  (b) 0  (c) 7\/2  (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*u + 2*g - 16, g - 2 = -u + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 3*n = -39, -13 = 5*g + 3*n - 118. Let m be (-1 - 24\/(-9))*3. Suppose -m*a + 2*a + g = 0. Solve 3*f = 3*o - 6, -2*o = -0*f + 3*f + a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -155, -598, -1331, -2354, -3667?\n\"Answer: -145*b**2 - 8*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-2) - 7\/(49\/21)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are 48399465 and 48399458 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 5*c**2 - 2*c + 1. Let d(g) = -g - 5. Let w be d(-6). Let v be h(w). Suppose t = -v*i - 2 + 5, -i + 17 = -3*t. Solve i = o - 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 4*i, -16*l + 12*l - 5*i = -29. Let t(f) be the third derivative of 0 - f**2 + 1\/2*f**3 - 1\/60*f**5 + 0*f + 1\/4*f**4. Give t(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -4*w + 56. Let f be v(11). Which is the third smallest value?  (a) 0.1  (b) -1.3  (c) f  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gjj when three letters picked without replacement from {k: 3, j: 2, g: 1, r: 6}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 + 16601.33995\nAnswer: 16601.23995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-4))\/(((-207)\/(-90))\/(-23)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -48*z - 24. Let u be c(-4). What is the common denominator of -107\/56 and -3 - 3*(-386)\/u?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-513746)\/(-102748) - 3) + -2. Let l = q - -281837743\/359618. Let p = l - 782. Calculate the common denominator of -41\/10 and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 69395\/14 - 4960. Suppose 2*x + x = 0. Find the common denominator of z and x + (369\/12)\/(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r = m - 7, 4*r - 113*m = -117*m - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 0)*(-3*g + g + 0*g)*(44*g - 50*g - 21*g).\nAnswer: -108*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((1 + sqrt(252) - sqrt(252)) + sqrt(7) - (sqrt(7) + (sqrt(21)\/sqrt(3))**2*-4))*5.\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5226, 11.1, 28, -3\/2?\nAnswer: 11.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 24116, 96524, 217204, 386156, 603380, 868876?\n\"Answer: 24136*h**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1103175 and 675?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = 4*d - 256, 14*d - 11*d + 4*j - 191 = 0. Calculate the remainder when d is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uwm when three letters picked without replacement from wuuwmumwwmm.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 11*z + 5. Let f(r) = 6*r + 2. Calculate -5*f(b) + 2*k(b).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**3 + 62*x**2 + 1259*x + 4111. Calculate j(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -14418, -28836, -43254, -57672, -72090?\n\"Answer: -14418*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 3*p**2 - 421649*p + 421652. Calculate t(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are 57 and 515\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12225 - 6090. Let l = -5533.4 + z. What is l rounded to the nearest 10?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8074 - -8479.9. Let g = -427 + t. Let a = g + 20. What is the second biggest value in a, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -17  (b) 19  (c) -8  (d) -3  (e) -5.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3934 is divided by 3927.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 925, 3, 6, 12\/29?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:09 AM and 7:57 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 6*d = 576. Let v = 144 + d. Solve 4*l + 0*l + 16 = v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the first derivative of j**5\/60 - j**4\/12 - j**2 + 2. Let k(o) be the second derivative of i(o). Calculate the lowest common multiple of k(3) and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 27847 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-2 + (1 + sqrt(52)\/sqrt(4))**2 - (-5 + (sqrt(104)\/sqrt(2))\/sqrt(4))).\nAnswer: sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 875 by -7.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the third derivative of 151*u**7\/210 + u**6\/120 - 46*u**5\/5 + 345*u**2 + u. Find the third derivative of g(j) wrt j.\nAnswer: 3624*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3897*z + 4843?\nAnswer: -3897","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -366 divided by -13\nAnswer: 366\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 2170*a - 2198. Let h(q) = -2171*q + 2200. Let c(i) = -6*h(i) - 5*j(i). What is the derivative of c(z) wrt z?\nAnswer: 2176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -207, -4, 14.4, 1\/2.\nAnswer: -207, -7, -4, 1\/2, 14.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -6*w**2 - 2*w. Let o(s) = -72*s**3 - 3*s**2 - s. Let x be o(-1). Let c(f) = 143*f - 75*f - x*f. Give g(c(d)).\nAnswer: -24*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/(-2) - 5\/(-2). Suppose -4*f + f + y + 197 = 0, -5*f = b*y - 332. What is the highest common factor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**2\/15 + 112*i\/15.\nAnswer: -2*i*(i - 56)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 10308802 to the power of 1\/2, to the nearest integer?\nAnswer: 3211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - c - 3*x = 181, 4*c - 3*x = 706. Suppose -10*f - c = -3335. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -230\/7, 0.1, -0.1, 3 in ascending order.\nAnswer: -230\/7, -2, -0.1, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -2*p + 4*u + u, 2*u + 3 = 3*p. Let a(z) = z**2 - 3*z - 5. Let c(o) = 1. Let s be 15\/5*(-4)\/3. Let q(d) = p*a(d) + s*c(d). Calculate q(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in fourty-one halves of a meter?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.2, -2\/3, 16490\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 81.9 and 2?\nAnswer: 163.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*u - 96 = 37*u - 24*u. Solve u*x = -4*n - 1 - 11, 14 = 2*n - 2*x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Express 2*a**2 + 47 + 53 - 68 in the form r*a**2 + t*a + n and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 242801485.\nAnswer: 5, 29, 1033, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -13*q**3 + 14*q**2 - 10*q - 52. Let i(o) = -9*o**3 + 10*o**2 - 7*o - 35. Calculate -5*h(w) + 7*i(w).\nAnswer: 2*w**3 + w + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-116 + 61 + 61)*(2 + 2*g - 2).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 69, 144, 217, 288, 357, 424, 489?\nAnswer: 552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**3 + 36*g**2 - 150*g - 60. What is the smallest common multiple of f(24) and 1084?\nAnswer: 3252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14874860801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m**2 - 2*m**3 + 0*m**2 + m**2 - m**3 + m**3 + 3*m**3 + 2*m**3 + 2*m - 2*m + (-4*m + 4*m - m**2)*(-m - m + 0*m).\nAnswer: 5*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/435, -5, 322 in ascending order.\nAnswer: -5, -2\/435, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100200020 - -11?\nAnswer: -100200002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from soorbobbosobobbob. Give prob of picking 4 o.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 - 7. Let x = -10 + 15. Suppose 3*i - 35 = -2*y, 0 = -y + i + x. Solve 2*g + d*g = -y for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -13*v**2. Let c(z) = 2*z - 686. Give u(c(w)).\nAnswer: -52*w**2 + 35672*w - 6117748","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1899895123.\nAnswer: 7, 1229, 220841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -22 + 106. Let m be x\/(-99) - 4\/(-22). Let g be (-2)\/2*0*-1. Which is the closest to m?  (a) 5  (b) -1\/4  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 11 + -9757b4?\nAnswer: -9757a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*d**3*p*r - d**3*r**3 - 118*d**3*r - 16*d**2*p*r**3 - d*p*r**3 - d*p*r wrt d.\nAnswer: -12*p*r - 6*r**3 - 708*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (35\/(-1105))\/((-35)\/595).\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 5*s**5 - 7*s**4 + 7*s**3 + s + 7. Let z(r) = r**4 - r**3 - 1. Let g(i) = 5*m(i) + 35*z(i). Find the second derivative of g(y) wrt y.\nAnswer: 500*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 26619805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the first derivative of g**4\/4 + 11*g**3\/3 + g**2 + 22*g + 39. Let u be n(-11). Solve p = -u*p - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (105*i - 275*i + 138*i)*(-3 + 4 - 2 + (4 - 1 - 5)*(-2 + 2 - 2)).\nAnswer: -96*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes before 10:06 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(-5\/4)\/q)\/q)\/(q*q**(-2)\/q))\/((q*(q*q\/(q\/((q*q**(-4\/3))\/q*q)))\/q)\/q**(-2\/3)) assuming q is positive.\nAnswer: q**(-31\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2\/48611 + -48615\/97222. Let h = 1 + -1.3. Let s be 1\/(-2)*(-8)\/(-6). Which is the nearest to 0.1?  (a) h  (b) s  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - 3*n + 1. Let j(s) = -s - s + 53*s**3 - 1 - 54*s**3. Determine j(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -683760 to the nearest ten thousand.\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 84557847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:37 PM and 11:23 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 85 - 66. Solve -5*g - j = r, -g - 3*r = -6*g - 23 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1325 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 + 4*f**2 + 2*f + 5. Let s be w(4). Let a = s - -100. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the first derivative of 3*c**7\/14 + 4*c**3\/3 + 4*c + 2. Let b(p) be the first derivative of l(p). Find the second derivative of b(q) wrt q.\nAnswer: 180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2205614?\nAnswer: 2, 17, 64871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4045.\nAnswer: 5, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*v + 3*v - 4*v)*(34 - 48 + 123) in the form b + c*v and give c.\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1234548 a multiple of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the first derivative of s**4\/4 + 10*s**3\/3 - 9*s**2\/2 + 16*s - 288. Suppose -l - 105 = -94. Calculate u(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 137 = 142. Put -5, z, -4\/3 in decreasing order.\nAnswer: z, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -280 + 271 = -3*i. Suppose -5*a + i*a + 3*g = -75, a = -g + 25. Calculate the smallest common multiple of 142 and a.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*s - 2309 = -4*j + 21*s, 0 = -2*j + 5*s + 1165. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*n**3 + 2*n**3 + 0*n**3 + (-3*n**2 - n**2 + 5*n**2)*(-4*n - n + n) + 15*n**3 - 18*n**3 - 11*n**3.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 - -b1?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10802*a**3 - 34*a - 10800*a**3 - 4*a)*(4*a - 3 + 3)*(-41 + 32 + 29).\nAnswer: 160*a**4 - 3040*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 + -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -404163 = -27*l - 0*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18\/16*(56\/21 - 2)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (33\/(-6) - -5)*0. Suppose -588 = -4*f - 5*m, -4*m = -f - h*f + 147. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 1)*(-12 - 6 + 5)*(-73*w + 73*w + 2*w**3).\nAnswer: 26*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35594309 is divided by 1407.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1400455271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**3 + 3*c**2 + 4*c - 3. Let q(n) = -n**3 + 9*n + 4. Suppose f + 5 = 0, -3*f = -7*o + 9*o + 21. Let y be q(o). Determine i(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the first derivative of 8*g**5\/5 + 9*g**4\/2 - 4*g**3\/3 - 9*g**2 - 4*g - 54. Find j, given that b(j) = 0.\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -40, -138, -270, -436, -636?\n\"Answer: -17*f**2 - 47*f + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2378*n = -2398*n - 240 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 542312*c**6 + 10*c**5 - 52*c**2 - 1119*c + 64 wrt c?\nAnswer: 65077440*c**3 + 600*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 41534 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*m - 130 - 41. What is the hundreds digit of m\/(-114) + 653\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:05 AM and 3:56 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 5*q**2 + 10*q - 7. Let t(v) = -9*v**2 - 19*v + 15. Let y(w) = -7*p(w) - 4*t(w). Let m be y(-8). Suppose m*u = 125 + 65. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 26 + -22. Suppose 4*s = -r*g + 315 + 17, g - 93 = -3*s. Find the third derivative of 2*h**2 - 78 + 7*h**2 + g - 10*h**6 wrt h.\nAnswer: -1200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -21 - -7. Let p be (-2739)\/(-21) + 6\/x. Suppose 5*g - p + 35 = 0. What is the highest common divisor of g and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 21 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k, 7*v - k - 96 = 3*v. Let t = -21 + v. Let p be -2 + -1 + t + 128. What is the highest common factor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 466852379\/702 - 665032. Calculate the common denominator of 163\/30 and m.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -150*r**3 + 7991405*r**2 - 106437722980*r + 3547915220.\nAnswer: -5*(r - 26638)**2*(30*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1b (base 12) in base 7?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 10310130 (base 4) to base 5\nAnswer: 1112430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -36*h**2. Let a(s) be the third derivative of -s**5\/20 + 42*s**2. Calculate a(p(l)).\nAnswer: -3888*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1721.\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -1415 greater than -7074\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10 - -13. Let m(f) = y*f + 7*f - 3*f. Give m(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 2.034823 meters?\nAnswer: 0.002034823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ten ninths of a week in minutes?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 37333369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 240134033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 8) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 265057.\nAnswer: 13, 20389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.388843nm to kilometers.\nAnswer: 0.000000000003388843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -8*c - 7. Let u be (28\/35)\/(4\/10). Let y(g) be the third derivative of g**4\/24 + g**3\/6 - g**2. Let x = 222 - 208. Give u*r(s) + x*y(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**2 - h + 28. Let o be (-8)\/40 - 1\/(-5). What is the remainder when b(o) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -889 (base 10) to base 7\nAnswer: -2410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5246727?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = -5*l + 27 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 7\/(-26)*(1 + 0 - (-475)\/(-175))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of t*y + 6078180*t - 4452956*y**2 wrt y?\nAnswer: t - 8905912*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.974683ml in litres?\nAnswer: 0.000974683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 73, 0, 2\/19, -2, 4, -0.0993?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1*(-3)\/(-12)*4\/7. What is the nearest to 0.13 in o, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1, 11, -1.\nAnswer: -1, 1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -b*k**3*w**3 + b*k*w**3 - 4*b*w**3 + 62*k**3*w**3 - 3*k**3*w with respect to b.\nAnswer: -k**3*w**3 + k*w**3 - 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*f - d - 14, 1422*f - 4 - 3 = 1421*f - 3*d for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 8, -5\/17, -728, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 196*i - 6 + 6 + 0.\nAnswer: 196*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (29\/(58\/(-60)))\/(3102\/(-11891))?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 245302*n + 490375. Determine k(-2).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 2828.\nAnswer: 1\/1414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*y**3 - 3*y - 7*y**3 + 3*y**3 - 30 - 8*y**3 as b*y**3 + h*y**2 + r + x*y and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + 3 + (-9 - -18) - 23.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 32 + 567125377\nAnswer: 567125409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 244569, 244561, 244553, 244545, 244537, 244529?\nAnswer: 244521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/((-30)\/(-22)) - 2. Suppose -d - 2*h = 1, 0 = 4*d - 2*h - 2 - 4. Let x be d\/(-2)*6\/(-4). Which is the third smallest value?  (a) w  (b) x  (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v and 1 w when four letters picked without replacement from vxwwwwwuwvwwvvmm?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the first derivative of -9*v**3 + 0*v**5 - 27\/4*v**4 + 1\/6*v**6 + 0*v**2 - 118 + 0*v. What is the third derivative of o(w) wrt w?\nAnswer: 60*w**2 - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -3*s**3 - 280*s**2 - 95*s - 163. Let o be t(-93). Is 271\/12 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 797853873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -4998805 divided by 7?\nAnswer: -714115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 2 r when three letters picked without replacement from rkkrkoooork?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w - 6 + 75. Suppose 3*p - 32 = -p. What is the remainder when w is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6782 times 2384\nAnswer: -16168288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 127 = -0*t + 3*t, 104 = 4*k - 3*t. What are the prime factors of k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5037 + 0 + -2 - 80\/(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 31741351.00809 + -31741686. Let s = -19269 + 19604. Let i = j + s. Round i to four dps.\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 604100 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**2 - w - 1. Suppose y = 2, -2*f + y = -4*y. Suppose -f*m = 20, -3*m - 12 = k + 3. Let o = k - -2. Determine a(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 628981 or 629055?\nAnswer: 628981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 273414627?\nAnswer: 3, 61, 349, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 147 = 13*j + 121. Factor -5\/2 + 2*y + 1\/2*y**j.\nAnswer: (y - 1)*(y + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2617026ml to litres.\nAnswer: 0.0002617026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -21 - 3850\/(-182) - (-26999)\/13. What is the highest common divisor of 31 and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**3 - 26*r**2 - 25*r + 5. Give q(25).\nAnswer: -1245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 527872.\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -60842 or -60806?\nAnswer: -60806","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 80 = -4*z, 4*z - 2*z = -2*f + 24. Let y = 47 - z. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 - -2. Suppose i*v + 44 - 116 = 0. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 15 = v, -m + 2*v = 1 + 7. Suppose 2*b - 26 = 4*t, 5*t = m*b - 37 + 9. Suppose -b = -6*f + 5*f. Solve i + f = 4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 30*-19\nAnswer: -570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32042169 is divided by 1592?\nAnswer: 1577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 221 is divided by 77.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 22795 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 143 - 142. Let p = 0.03 - -5.97. What is the closest to i in 1, p, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44907 + -18294398.\nAnswer: -18249491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -400693604*-0.3\nAnswer: 120208081.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 53*s + 5. Let w(f) = 106*f + 9. Let d(r) = 5*p(r) - 3*w(r). Let q be d(-2). Suppose -4*v - 4 = -q. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the third derivative of 13*l**4\/3 - 5*l**2. Let u(r) = -9*r + 13*r - 2*r. Determine u(h(d)).\nAnswer: 208*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(400) + (sqrt(192)*3 + sqrt(192))\/sqrt(12))\/(sqrt(968) + -1*sqrt(968) - (sqrt(64)*-1)\/sqrt(8)).\nAnswer: 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 93711 by 3.\nAnswer: 31237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -7*t**3 - t**2 + 1. Let a be q(-1). Suppose 5*p = -2*y - 17, 0 + a = -4*y - p. Put 1, -4, y in decreasing order.\nAnswer: 1, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 8*g**2 - 3\/5*g**5 + 48\/5*g + 16\/5 + 0*g**3 - 11\/5*g**4 = 0?\nAnswer: -2, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/((-9)\/12) + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 165910, 164150, 162388, 160624, 158858?\nAnswer: 157090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-38)\/(-6))\/(((-6)\/(-36))\/(-1)). Let m = k + 40. Solve d + m = -0*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10763*u - 4*u**2 + 10763*u.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -52*i**5\/3 - 556*i**4 - 8276*i**3\/3 + 27516*i**2 - 23544*i - 53280 = 0.\nAnswer: -20, -222\/13, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 8717040 divided by -40?\nAnswer: -217926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17797 and 1924.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40625 is divided by 1933.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.099829 times 4.63?\nAnswer: 0.46220827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 401772582?\nAnswer: 2, 3, 73, 101921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 11165100 (base 8) in base 5?\nAnswer: 1104404024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 - -315. Let t = l + 197. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*t**2 - 2*t**2 + 3*t**2)*(-1 - t + 1)*(7 + 1 - 2)*(36*t - 34*t**2 - 36*t).\nAnswer: -408*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 94210?\nAnswer: 2, 5, 9421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2\/16*(-9 + 3 + -75) and (2\/4)\/(5\/112).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -30 - 29*a**3 + 30 + (-3*a**2 + 4*a**2 - 2*a**2)*(-2*a + 0*a + 4*a) to c + z*a**2 + l*a + n*a**3 and give n.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*f + 73*f - 224 = 104*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*y**3\/5 - 62920*y**2 + 419484*y\/5 - 104872\/5 = 0 for y.\nAnswer: -26218, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1)\/(3\/(-51)))\/1. Let o(g) = 20*g + 2. Let d be o(7). Suppose 0 = 2*i - d - 130. Calculate the highest common divisor of q and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 77766329 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 317 a factor of 10612926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 381 = 4*m + 2*y + 3*y, 0 = m - 4*y - 111. Let o = -94 + m. Suppose g - 3 = -t - 0*g, -o*t + 4*g = -33. Let p(l) = -l + 7. Calculate p(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4\/3)\/(6\/(-18)). Calculate the smallest common multiple of (-5)\/d - (-2)\/(-8) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 1374739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 129 at most as big as 127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 11*m - 24. Let g(k) = -14*k + 24. Let t(y) = -3*g(y) - 4*z(y). Calculate t(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -283 + 282. Which is the nearest to -0.2?  (a) -7  (b) 1\/3  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 9*i - i**3 - 4*i + 6*i**2 - 5*i. Let v be a(6). Suppose v = 4*r - 43 - 345. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:22 AM and 4:32 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1708 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqfu when four letters picked without replacement from uuqfuuququqqyffuy?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the second derivative of 7\/12*f**4 + 1\/2*f**2 + 3*f + 1\/20*f**5 + 2\/3*f**3 + 0. What is the units digit of a(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.2576 + -639.0424. Round s to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = -3*x, 3*a + x - 21 = -27 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 2*g**3 + 35*g**2 + 517*g + 5868. Give o(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 + (0 - 0) - -80. Let a be 5\/(-25) - (-2 - 11\/5). Suppose 45 = a*m + m. Calculate the greatest common divisor of m and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16.09 + 15.79. Which is the nearest to 0?  (a) z  (b) 2\/3  (c) -5  (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -55, -205, -453, -799, -1243?\nAnswer: -1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -95\/4*s + 9\/8*s**4 + 39\/4*s**3 - 31*s**2 - 33\/8 = 0.\nAnswer: -11, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-7))\/(1*(-51)\/(-238)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 175 a factor of ((47 - 41) + -8 + 0)\/((-2)\/34539)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 271392.2um to kilometers.\nAnswer: 0.0002713922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 55741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -78 (base 14) to base 15\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0.17, 13, 1\/59, -1 in decreasing order.\nAnswer: 13, 0.17, 1\/59, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c + 1. Let t(x) = 620*x - 775. Let m(k) = 1550*r(k) + 2*t(k). Let l(d) = -10*d. Let f(y) = -16*y. Let h(w) = -3*f(w) + 5*l(w). Calculate m(h(g)).\nAnswer: 620*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 471402 is divided by 9052?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -3*v + 785. Suppose -49 = -f + 3*j + j, 0 = 4*f - 3*j - v. Calculate the remainder when f is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and -235\/260589 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Is 240 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(49)\/(sqrt(56)\/sqrt(8)) + 2*sqrt(448)))**2.\nAnswer: 50575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 4 + 4)*(-126*s - 134*s + 16*s) to the form r*s + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1001000101101010100 (base 2) in base 11?\nAnswer: 193829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 55\/275 + (252\/(-35) - 9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the first derivative of 22*p**3\/3 - 7*p**2\/2 - 4*p + 1. Is 12 a factor of o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.525 - 0.025. Sort 2\/15, 0.2, q, -1 in increasing order.\nAnswer: -1, 2\/15, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1474056 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12 + -2031?\nAnswer: -2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 - 12*y**2 + y - 15. Let x be h(12). Put 5, 3, x in increasing order.\nAnswer: x, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -49 greater than -249\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1713383477 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the second derivative of -k**3\/6 + 6*k**2 + 4*k. Let z be c(11). Let l be z*(2 - 4*-1). Let w(x) = x**3 - 7*x**2 + 7*x - 1. Give w(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 279601?\nAnswer: 7, 59, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -111364, -111516, -111682, -111868, -112080, -112324, -112606?\nAnswer: -112932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 265760322877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the second derivative of 91*y**5\/20 - 127*y**2 + y + 1. Find the first derivative of s(t) wrt t.\nAnswer: 273*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**2 + 15*c - 100. Let i be r(-20). Do i and 2\/21 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 {d: 9, q: 7}. What is prob of picking 2 q and 2 d?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 59634 (base 14) to base 5.\nAnswer: 23433443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**2. Let y = -26 - -22. Let k be (3 - 5)\/(y\/(-2)). Let j(d) = 3*d**2 + d. What is k*j(h) - 2*q(h)?\nAnswer: -h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12585 + 9071*i - 8923*i - 1421 - 8*i**3 - 923 with respect to i.\nAnswer: -24*i**2 + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.16 times -0.05112?\nAnswer: 0.0081792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -2256 times -1845?\nAnswer: 4162320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 937 (base 12) to base 14.\nAnswer: 6b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 - (-3 - 7)*2\/5. Put 0.2, z, 3 in decreasing order.\nAnswer: z, 3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*l + 35 = -28*l. Solve l = 3*k - 8*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 3 = -5*t, t = 3*t. What is the tens digit of (-45)\/(-2) + (z\/6 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.492 + 4.492. What is the nearest to o in -3, 1\/4, 534, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20\/10*30\/4.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/9 <= -15.36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 50\/46 - (7\/(-7) + 2). What is the fourth biggest value in w, -4, -0.5, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00033673234 to six dps.\nAnswer: 0.000337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the third derivative of -o**7\/525 - o**6\/150 + o**4\/30 + o**3\/15 - 25*o**2. Solve v(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1360 and 5132240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 22 + 6. Let h = f + -37.4. Round h to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -996*t + 989*t + 21 = 0. Factor -4\/5*i**4 + 24\/5*i**t + 48\/5*i - 52\/5*i**2 - 16\/5.\nAnswer: -4*(i - 2)**2*(i - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81473783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the second derivative of 35*m**4\/12 + 71*m**3\/6 + 13*m. What is the second derivative of a(n) wrt n?\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**3 + m**2 - 10*m + 94. Let c be o(-7). What is the highest common factor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (38 - (0 - -1)) + (-7107 - -7106)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-1)*(-189)\/(-27)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5\/10*(-4)\/(-1). Suppose -5*s + 2*v + 17 = 4*v, 4*s = -l*v + 12. Solve -5*c + 5*y = 5, -4 = s*c + 5*y + 11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 8 = 4*v. Suppose 10 = 4*u + 2. Solve -u = v*f - 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -302220108 or 1\/3?\nAnswer: -302220108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 66, 129, 1, -2 in descending order.\nAnswer: 129, 66, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 266\/585 - 2\/195. Which is the nearest to p?  (a) 0  (b) -0.2  (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26409 is divided by 1793?\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 divided by 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 32 + -26. Solve -i - 6 = v - 4*d, 0 = d - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/11, 0.0416, -3\/4.\nAnswer: -3\/4, -2\/11, 0.0416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 20.88513ug in nanograms?\nAnswer: 20885.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6\/11, 4, -146 in increasing order.\nAnswer: -146, -6\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 108 - (-16 + (83 - -30))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/16)\/(((-2)\/64)\/((-32)\/384))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*p**2 + 7*p - 40*p**4 + 5*p**5 + 38*p - 63*p**2 + 73*p**3 + 37*p**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46865 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: Let w(y) = 1 + 3*y + y**2 - 3*y. Let z be w(2). What is the third derivative of 3*p**2 + 0*p**2 - p**2 - 2*p**z wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*x**3 - 259*x**3 - 268*x**3 + 2.\nAnswer: -485*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 3*p**2 - 208*p + 784. Calculate v(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: What is -6 less than 589706759?\nAnswer: 589706765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:57 AM and 11:44 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes before 8:48 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.3 - 1.8. What is the nearest to 1\/2 in -0.5, h, 4\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2*39281\/22 + -15.\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 413947511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -3\/7  (b) 7  (c) -2\/3  (d) -4  (e) 0  (f) 71  (g) 83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than 2\/60905?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -127 - 16. Let j = -22 - d. Is 40 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4523027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, n: 9, o: 1, x: 1}. Give prob of sequence ox.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k + 2. Let d be m(0). Is ((-11)\/d)\/((-2)\/28) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 1195 = -4*o + 161, -702 = -2*t + 4*o. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 11, g: 5}.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 170 + -170.12. Let y = -135.6 + 136. Sort 5, r, y, -0.5 in decreasing order.\nAnswer: 5, y, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10663 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -3*k, -k - 4*k - 2*h + 28 = 0. Calculate the remainder when 7 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the first derivative of 0*m + 16\/3*m**3 + 0*m**4 + 11\/5*m**5 + 0*m**2 + 27. What is the third derivative of r(y) wrt y?\nAnswer: 264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2 + -8)\/(198\/(-2343)). Let c = -35 - -2. Let s = o + c. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 406781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 11\/2 of a decade?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 2832, 11881, 27150, 48639?\n\"Answer: 3110*h**2 - 281*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/5)\/(85\/(-10) - -8)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -215*i**3 + 13*i**2 + 16*i + 23. What are the prime factors of m(-2)?\nAnswer: 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**5\/21 - 4*y**4\/21 - 2*y**3\/21.\nAnswer: -2*y**3*(y + 1)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that 2*g**3 - 2132*g**2 + 593560*g - 49529200 = 0.\nAnswer: 190, 686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 686940?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7*y**3\/4 - 19*y**2\/2.\nAnswer: -y**2*(7*y + 38)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 57263996741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 2*o**2 + 6*o - 4. Let l be t(-4). Let w(k) = 11*k**2 + 9*k - 18. Let r be w(l). Suppose -r = -h + 2*j + 5, -4*h + 780 = -4*j. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (3 + (1 - 1) - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -445, -442, -439, -436?\n\"Answer: 3*a - 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 985?\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1489.912 less than -1.9?\nAnswer: -1491.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1595, 1074, -343, -3106, -7665, -14470?\nAnswer: -23971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 10 + 3*o + 4*o - 6*o**2 + 5*o**2 - 15. Let c(q) = -q**2 - 3*q + 2. Let d be c(-2). What is the units digit of w(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**2 + 2*r + 221. Suppose 0 = -5*q + 20, -2*q - 34 - 153 = -5*p. Let w = 39 - p. Is s(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes after 6:38 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -31*j + 1. Determine c(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + 5*c + 73163, 4*y + 15*c - 73169 = 14*c. What is the greatest common factor of 34 and y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the second derivative of 3*v**8\/4 - 23*v**4\/12 - 24*v. What is the third derivative of u(n) wrt n?\nAnswer: 5040*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rkfu when four letters picked without replacement from {u: 3, f: 1, b: 2, k: 3, r: 1}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 - 2*s**2 - s. Let q be o(3). Suppose -q + 3 = -g. Suppose 6*n - g*n = 12. Let x(u) = -2*u**2 + 6*u - 6. Determine x(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.595922 weeks to minutes.\nAnswer: 6006.89376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 99107.9069 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -213535, -854034, -1921525, -3416008?\nAnswer: -5337483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.133921 times 2?\nAnswer: -0.267842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/15, 2\/3, -2, 0.00042?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 94864?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 0*p + 5 = 5*p, -2*p + 60 = 5*x. What is the greatest common factor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 12) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(2\/35)*i**(-1\/17)*i*i**8\/i**(-2\/15) assuming i is positive.\nAnswer: i**(3260\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -s**2 - 3*s**2 + 3*s**2 + (0*s + 0*s + 2*s)*(-3 + s + 3) + s**2 + s**2 + 0 + 3.\nAnswer: 3*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-15))\/((-2)\/(-4))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 325*a*b**3 + 2356*a*b*l**3 + 484*b**3*l**3 - 111*b**3*l - 10*l**2 wrt a?\nAnswer: 325*b**3 + 2356*b*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*p - 16*p - 1024911*p**2 + 8*p - 1444987*p**2.\nAnswer: -2469898*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 430 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.07 + 0.07. Which is the nearest to r?  (a) -0.1  (b) -2  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3372845734 - -19.\nAnswer: -3372845715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -162*y + 6 = -168*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 574*y - 3*u + 17 = 575*y, -25 = -5*y + 5*u. Solve -y*c - 86 = -22 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the second derivative of -h**7\/14 + h**6\/10 + 3*h**5\/20 - h**4\/4 - 11*h. Find k, given that j(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87*i = -101*i + 57*i - 129 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13 - -107. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 27. Let c = -568 + 560. Let i(r) = 10. Let s(x) = c*i(x) + 3*a(x). Let p(b) = -6*b - 18. What is p(w) + 18*s(w)?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l + l + 0*l)*(-104 - 106 + 350*l**2 + 26 - 175*l**2 - 185*l**2).\nAnswer: -30*l**3 - 552*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1776 times -12\nAnswer: -21312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*l + 1576*o - 14 = 1580*o, 8*o - 4*o = l + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1012\/66)\/46*-1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + 4 + -7 - 3 - -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/21 in 4, 1\/2, -4, -2\/17, -0.19?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 387 divided by 1?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -591 + 948. What are the prime factors of v?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 * -4.804\nAnswer: 2.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 163 + 40. Let d be (-6)\/10 + h\/5. Suppose 0 = -60*f - 843 + 4443. Calculate the greatest common factor of f and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**13)**(-2\/23))**(1\/7) assuming j is positive.\nAnswer: j**(-4\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 712434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -78737.87 to the nearest one thousand.\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 20 + -16. Let x be (-4 + 1)*w\/(-6). Solve -2*k - 2 = -2*c, -c - x = 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 519723 divided by 27?\nAnswer: 19249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -266*a + 1936. What is the units digit of i(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 431765 = 4*y - 3*d, -4 = 10*d - 14*d. Let t(b) = -183*b**2 - y*b + 107942*b. Let j(k) = -4*k**2. What is j(t(g))?\nAnswer: -133956*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6)\/(-14) - 336\/98. What is the units digit of t\/5 + 6707\/95?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*w**3 - 4*w**3 + 14*w**3 + 5*w in the form b*w**3 + c*w + h*w**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -39 + (-14 - -25) + 0 + -8 + -11.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*d - 25*d - 3002. Is -157 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: Three letters picked without replacement from dlmlmljggljpjp. What is prob of sequence lgd?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 10587, 21172, 31757, 42336, 52903, 63452, 73977?\n\"Answer: -x**3 + 6*x**2 + 10574*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -423516 (base 8) to base 9.\nAnswer: -234535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o**2\/o)\/o)\/o)\/(o\/o**(1\/5)*o))\/(o*o**(-2)\/o*o*o*o**0) assuming o is positive.\nAnswer: o**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 116*h - 70*h = 180872. List the prime factors of h.\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:07 AM and 1:35 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*u + 18*u - 27*u - 23*u - 4*u**2.\nAnswer: -4*u**2 - 45*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 339021 and 69?\nAnswer: 7797483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1542 is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20)\/24 - (-35)\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -169*k = 2*w - 172*k, 2*k = 3*w - 5. Solve -2*t - 4*q + 8 = -2, -6 = -t - w*q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 144623712?\nAnswer: 2, 3, 1506497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*v - 2 + 2 + (5 - 4 + 1)*(1300 - 382*v - 1300))*(3*v - v - 4*v) to the form a*v + t*v**2 + p and give t.\nAnswer: 1540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence li when two letters picked without replacement from {i: 11, l: 3}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:36 PM and 7:57 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -3*i**2 - i - 2. Let l be b(-1). Is 188 - ((-4)\/l - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.7, -2\/5, -21?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 35348.87cm in kilometers?\nAnswer: 0.3534887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 12\/6*(5 - -3). Let m = -6 + r. Sort m, 0.5, 2\/15, 0.3.\nAnswer: 2\/15, 0.3, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0389 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 127206 and 192.\nAnswer: 4070592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the first derivative of 0*c**3 - 1\/10*c**5 - c**2 + 0*c + 1\/12*c**4 - 3. Let f(x) be the second derivative of p(x). Determine k so that f(k) = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13.373 + 13.3743507. Round n to 5 dps.\nAnswer: 0.00135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2*((-55)\/(-2) - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from {o: 2, q: 1, m: 1, v: 1, z: 2, p: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-12 - -25) + -14 - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5307, 21316, 47993, 85338, 133351, 192032?\nAnswer: 261381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/6253 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**3 + 453*h**2 - 8910*h + 36504.\nAnswer: 3*(h - 12)*(h - 6)*(h + 169)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 34369, 34376, 34387, 34402?\n\"Answer: 2*g**2 + g + 34366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -19 - -24. Suppose 3*u + 22 - 2 = 5*b, -2*u - 5 = a*b. Solve -w = -b - 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(228)*2*6 - (sqrt(228) + -6*2*sqrt(228)))\/(sqrt(48)\/(sqrt(180)\/sqrt(5))).\nAnswer: 2 + 69*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes after 2:11 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 84 and 99900332.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (165*c - 27*c**4 - 165*c)*(-4 + 4 + 10) + (-3*c - 2*c**2 + 3*c)*(-4*c**2 - c**2 + c**2).\nAnswer: -262*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the first derivative of -14 - 2\/3*w**3 - 450*w - 30*w**2. Factor z(f).\nAnswer: -2*(f + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*a**2*f**2*j**2 - 2*a**2*f**2 - 4*a**2*f*j - a*j**2 + 3*f**2*j**2 - 5*f*j**2 wrt f.\nAnswer: 12*a**2*j**2 - 4*a**2 + 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 13*w + 1. Let j(s) = -77*s - 32. Let k(u) = 6*f(u) + j(u). Let q(t) = 0*t + 2*t - 3*t. Give k(q(x)).\nAnswer: -x - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 84, -3, -2, -1 in decreasing order.\nAnswer: 84, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 15 + -4 + (-32)\/2. Let o(x) = -2*x**2 + 2*x. Determine o(p).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 235612.3cm in meters?\nAnswer: 2356.123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 7*b = -4*b + 10, -4*b + 12 = -5*m. Let t = -6 - m. Sort 4, t, 2 in descending order.\nAnswer: 4, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -149 - -210. Suppose 2*x + c = 267. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -9428\nAnswer: -3\/9428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -786, 3, -5, -3 in decreasing order.\nAnswer: 3, -3, -5, -786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (5 - 6)\/(114\/(-24) - -5). Is 10 a factor of ((-448)\/6)\/(-7)*(-222)\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31726 is divided by 244?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h*(((h*(h\/(h*h\/(h**(-6\/17)\/h)))\/h)\/h*h)\/h)\/h*h\/(h\/(h\/h**(-31)))*(h**(-2\/47)*h)**(2\/43))**(4\/29) assuming h is positive.\nAnswer: h**(4080456\/996353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 19, -1.5 in descending order.\nAnswer: 19, -1.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.5 + -3. Let h = q + 1. Round h to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1126 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -978504 or -978506?\nAnswer: -978506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x + 3*h - 8*h + 56, 3*x - 4*h = -42. Let t be (4\/x)\/((-4)\/28). Let w be (1*t\/2)\/(-1*1). What is the third biggest value in -0.1, 0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 45, 0, -168, -4, 4 in increasing order.\nAnswer: -168, -4, 0, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 335*s - 335*s + 73*s**4 + (-2*s**3 + 0*s**3 - s**3)*(-2 + 4 - 1)*(s - s + s) as a*s**3 + d*s + q*s**2 + t*s**4 + r and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 15*h - 11*h = 13, -3*p = 4*h + 5. Let t(m) = 24*m**3 - 14*m**2 - 8*m - 6. Let u(d) = -8*d**3 + 5*d**2 + 3*d + 2. Calculate p*t(w) - 8*u(w).\nAnswer: -8*w**3 + 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**3 - 6*n**2 - 6*n + 4. Let q be k(-5). Let t be 1*q*200\/(-15). Let i be (-110)\/(3\/t + 0). What is i rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 15\/((2\/(-136))\/((-1)\/(-6))). Let c = 545 + z. Suppose 0 = -k - 3*r + 105, 2*k = 6*k + 3*r - c. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-32)\/12)\/(10\/25) + 7\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2\/7, 17, -2\/5, -3, 591\/49, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(200) + 1*sqrt(200)*-2 + sqrt(200))*-5)**2*-3.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 6, k: 4}. Give prob of picking 1 k and 1 a.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2813904 and 14256.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -82*u + 505*u + 184*u + 58*u + 193*u. Let a(t) = -2*t. What is f(a(g))?\nAnswer: -1716*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 369064363 to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-1000)\/(2 - -3))\/(-1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the second derivative of 8*c**3 - 4*c**2 + 5\/2*c**5 - 15\/2*c**4 + 10*c + 0. Factor r(q).\nAnswer: 2*(q - 1)*(5*q - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 997.01 + -997. Sort 3, u, 9\/5 in increasing order.\nAnswer: u, 9\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 154 and 1254.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 484 divided by 4.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1635?\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 + -3. Suppose -2*t - 2*x = -8 - 4, -v*t + 16 = 2*x. Which is smaller: 6\/11 or t?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tattjattjtataattat. Give prob of sequence jja.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5100*v**2 + 89*v + 20 wrt v.\nAnswer: 10200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -791 - -796. Solve y = w*v - 27, -3 = 3*v - 5*y - 28 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 22860581*j + 14. Let u be k(2). Let x = 23721176 - u. What is x rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7477391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13135 is divided by 337.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1010011011101101 (base 2) to base 11.\nAnswer: -2a119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -442145648 + 51.\nAnswer: -442145597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 17233 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -6daa (base 16) in base 6?\nAnswer: -333550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 145*z**2 + 147*z**2 - 734*z**2 + 147*z**2 + 149*z**2 + 145*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -3*l**3 - 309*l**2 + 84360*l - 1258368 = 0.\nAnswer: -232, 16, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {w: 2, q: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are 307174 and 307176 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:52 AM and 6:36 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = 3*g + 12. Let b(d) = -4*d**2 + 4*d**3 - 3*d**3 - 2 + 0*d + 2*d. Let s be b(3). Is g smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 345 is divided by 146.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 108*a**2 - a - 114*a**2 - 373*a**3 - a wrt a.\nAnswer: -2238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((11 + 7 + 5)*(s**3 + 2*s**3 - 5*s**3) - s**3 - 4*s**3 + 2*s**3)*(2 - 2 - 1).\nAnswer: 49*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/5073231 and -107\/16910770?\nAnswer: 50732310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -200010210 (base 3) to base 6\nAnswer: -141120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 56, 28, -2, -34?\n\"Answer: -t**2 - 25*t + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3*2\/(12\/122).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -417*b**3 - 79*b + 1 wrt b.\nAnswer: -2502*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 45 = -41. Suppose 2*u = j + 2. Solve 3*x = -u*x + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -371*y + 146 wrt y.\nAnswer: -371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 142373?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -82*y**2 + 96 wrt y?\nAnswer: -164*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-14))\/(((-959)\/3836)\/(2\/224)).\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 15 - 3. Suppose 5*j - b*l = 26, 0 = 4*j - 2*l - l - 20. Suppose 0 = -j*r + 3*r - 31. What is the remainder when r is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7*y**2\/3 - 43552*y\/3 - 24880.\nAnswer: -(y + 6220)*(7*y + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 156 = -5*y + 54, 0 = -3*y + 6. Suppose 6*b - b - c = 0. What is the third derivative of -b*v**2 - 12*v**3 - v**2 + 16*v**2 wrt v?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*s - 308407 = 44057. Solve -6291*v = -s*v + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 533579251 to the nearest integer?\nAnswer: 23099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f**2. Let o(q) = 133*q**2 + 20 - 2 - 18. What is o(t(y))?\nAnswer: 133*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in fifty-five quarters of a kilometer?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -0*f - 360. Calculate the remainder when f is divided by ((-4 + 3)*50)\/(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + -974a8?\nAnswer: -974a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vnn when three letters picked without replacement from nnnv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 49 + 0 + (-2)\/2. Suppose 8*x - n = 4*x. Calculate the highest common divisor of 84 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -5 + 0 - (-25 - 10)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 98267897 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 354776819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 339863030 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -g**4 + 13*g**3 - 6*g**2 - 71*g - 710250?\nAnswer: -4*g**3 + 39*g**2 - 12*g - 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1)\/k*k**(-3\/2))\/((k**(-5)*k*k*k*k)\/(k\/(k\/k**(4\/9)))))\/(k*k**(-6\/13)*k*k\/(k\/k**8))**(-3\/38) assuming k is positive.\nAnswer: k**(-5791\/4446)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g - 9. Give u(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**4*i*i**(-2))\/(i*i*i**(-7)*i\/(i\/(i\/i**(1\/2))*i))*(((i\/i**(-2)*i)\/i)**(2\/21))**(-3\/8) assuming i is positive.\nAnswer: i**(263\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:00 AM and 1:23 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 607 is divided by 332?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*-5*sqrt(156)*-2)\/(sqrt(1728) + sqrt(1728)*1 - sqrt(768)*1))**2 + 1.\nAnswer: 2989\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (44\/10)\/(-2*(66\/55)\/6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 34, 307, 1096, 2683, 5350?\nAnswer: 9379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.526 to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 24\/(-33)*(-1)\/4. Which is the second biggest value?  (a) y  (b) -5  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of 3\/2*v**4 + 0*v**2 + 0*v**3 + 8*v + 2. What is the first derivative of z(a) wrt a?\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10042241 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 610 (base 8) to base 4\nAnswer: 12020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*d - 38 = 25*n - 22*n, 5*n + 2*d = -2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1813 is divided by 601?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27080033.\nAnswer: 27080033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, d: 2, w: 1, o: 1, x: 1, a: 1}. Give prob of picking 1 a and 2 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**2 - 11391800*i - 8110819202500.\nAnswer: -4*(i + 1423975)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 39.1?  (a) -2  (b) 9  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 304, 1292, 2908, 5146, 8000, 11464, 15532, 20198?\n\"Answer: -o**3 + 320*o**2 + 35*o - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6964.313g to nanograms.\nAnswer: 6964313000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -145575 rounded to the nearest one thousand?\nAnswer: -146000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 852 divide 6671514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) -0.2  (b) -0.4  (c) 5  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/(-5))\/(-1*5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 27830724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 11, 13, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 6*b + 1. Let q be 3 + 2\/1 - -1. Suppose 3*k - q = 3. Is t(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 433 from -1043004610867.\nAnswer: -1043004611300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**3 - v + 10. Let i be p(0). Let d = i - 14. Let y(l) be the third derivative of -l**5\/60 - l**4\/6 + 5*l**3\/6 - 590*l**2. Determine y(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 51 = 4*c - c, 10 = -2*c. Let u be (-6)\/b - 8\/24. What are the prime factors of 4548\/42 - u - (-2)\/(-7)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2267 a factor of 6812896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t**2 + 6*t**2 - 3*t**2)*(3*t**2 - 1 + 1) - 21*t**2 + 5*t**3 - t**4 + 44*t**2 - 22*t**2.\nAnswer: 8*t**4 + 5*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 39*s + 864 = 5*s - 7*s for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 203 and 496973?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 19*d - 3486 - 10094 - 16*d - 2*d in the form u*d + g and give g.\nAnswer: -13580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10914*b**4 + 32*b**3 - 95656*b**2 + 221?\nAnswer: 261936*b + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11.7 - -12. What is the second smallest value in 1\/4, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -342b (base 12) to base 5.\nAnswer: -141140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -30659785*w**5 - 57356121*w**2?\nAnswer: -1839587100*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n - 1. Let x be r(2). Let v = x - -9. Suppose 5*h - 39 = -2*q, -v*q + 3*q = -6. Solve h*p + 5 = -5*t + 2*p, -t + p = -1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 44 - 2. Suppose -4*w + 22 = -l. Calculate the remainder when 27 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 2*h + 32 = 0, -3*n + 0*h = -2*h - 32. Suppose n*j = -4*j + 2496. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 53 - 89 - (6 + -141) - 31.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.89 - -0.11. Let w be (-1)\/18*(-4)\/1. Which is smaller: w or q?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2013113001 + -3?\nAnswer: 2013112332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.08 and 10.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.1 + -2.1. Is q not equal to -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -128*j - 2672. Give a(-20).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-158)\/16 - (-11)\/(-88). Let u(j) = -j**3 - 10*j**2 - 18*j - 22. List the prime factors of u(b).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 108 = -3*q - 4*t, -2*q = 2*q - t + 125. Let w = q - -64. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*y - 15060 = 18150 - 5490. What is the least common multiple of 432 and y?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (41 - 41 - 36*l**2)*(-19 + 9*l + 19) + (-5*l + 0*l + 3*l)*(-2*l**2 - 2*l + 2*l).\nAnswer: -320*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 56555530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3914 (base 11) in base 10?\nAnswer: 5097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**3 + 5*a**2 - 4*a + 2. Let x be k(3). Let j = x + -5. Suppose -3*w + 5*w + 49 = i, 0 = j*i + 5*w - 147. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ungnngunngngann. What is prob of sequence ga?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:17 AM and 12:16 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((((-14268)\/287)\/(-58))\/(-45))\/((-13)\/7).\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3867 + 3870. Let p(g) be the second derivative of 15\/2*g**2 + 0 + 14*g - 11\/12*g**4 + 0*g**c. Differentiate p(t) wrt t.\nAnswer: -22*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 507856.\nAnswer: 2, 31741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/2 - 3\/2 - -2. Put -4, p, 32 in increasing order.\nAnswer: -4, p, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/10, -14\/5, 2, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1.89 from 5771970454.\nAnswer: 5771970455.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 5861 = -82*k + 80*k, -3 = 3*x. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -623594213 + 241896687. Let y = r + 381697546.9999923. Let w = y + -21. What is w rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 28 = 4*m, m + 3*y - 4*y + 7 = 0. Let k = m + 9. What is the third smallest value in k, 3, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*o - 3*o + 6*o)*(9*o + 92 - 92)*(0*o**2 - o**2 + 2*o**2) to the form a*o**3 + x*o + b*o**4 + j*o**2 + z and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, -1, -2, -35 in increasing order.\nAnswer: -35, -4, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -80 + 86. Let l(i) = i**3 - 5*i**2 - 7*i. What is l(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 2*d - j = -3*d - 0*j - 46 + 11, -12*j = -180 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one tenth of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1372454404, -1372454403, -1372454402, -1372454401, -1372454400?\n\"Answer: v - 1372454405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q\/(q\/q**0))**(-18\/11)*q*q\/q**2*q\/(q*q*q**5*q*q)*(q\/(((q*q**(-1)\/q)\/q)\/q)*q*q*q*q)\/q**1*(q*q**0)**(-14) assuming q is positive.\nAnswer: q**(-183\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 13 and -0.12.\nAnswer: -1.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 35 and 1505?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, -0.2, 9, 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 2*t**2 - 3*t + 1. Let a be n(2). Let r(v) = -v**3 + 3*v**2 + v + 2. What is the units digit of r(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 515446?\nAnswer: 2, 29, 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 4, n: 2, o: 3}. What is prob of picking 1 o and 2 l?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 8*u - 4 + 24*u**2 + u**3 + 7 + 4. Let n be (-90)\/165 + (-205)\/(-275) + (-91)\/5. Is m(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1914 or 1915?\nAnswer: 1914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 548925 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 37046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -96*p**4 - 8144*p**3\/3 + 1994*p**2 - 482*p + 116\/3 = 0.\nAnswer: -29, 2\/9, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*o - 49*o = 7*o + 82*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 207 and 15.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1111 and 303?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2*r + 0)*(6*r**2 - 4*r**2 - 3*r**2) - r**2 - r**3 + 0*r**2 + 2*r**3.\nAnswer: 3*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 1996260 to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 23 - 19. Suppose 4*l + 3*d - d = 150, 0 = r*l - 3*d - 155. Suppose -152 = -4*p + 6*t - t, p = -3*t + l. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 + 2 - -2) + (32 - 29)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -109, -5, -1, 1, -573, 19.\nAnswer: -573, -109, -5, -1, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/45*1520\/342)\/((-2)\/(-27)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1b4 + 0?\nAnswer: -1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1146 - 628 - 8156 - 3650 - 2116)*(-c + 3*c - 4*c) as r + u*c and give u.\nAnswer: 31392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 248227?\nAnswer: 7, 35461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1102011 (base 3) in base 4?\nAnswer: 100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4 and (-15 + 5)*(-8)\/(-10)*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j - 6. Let v be u(-8). Let i be 4 + (-2 - v\/2). Let p = 2 - i. Calculate the highest common factor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d - 3*w - 510, -6*w + w - 506 = 2*d. List the prime factors of (d\/10)\/(2\/40*-4).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the first derivative of t**2 + 2*t + 36. Let a(p) = -p - 1. Let n(g) = -6*g - 2. Let d be n(-2). What is d*a(y) + 4*v(y)?\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**2 - 20*v - 240. Calculate w(15).\nAnswer: -765","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o + 9. Let s be x(-7). Solve 0 = 3*i + 3, 2*z + s = 7*z - 2*i for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6592)\/(-160) - 41)\/(((-2)\/(-4))\/((-81)\/(-18)))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -23 + 23. Is 2\/3 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -773, -761, -733, -683, -605?\nAnswer: -493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - 3*z - 12, -z = 1 + 3. Solve q + q = i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(1\/(-770))*26\/4. Let l = -75043\/15 - z. Calculate the common denominator of (-41)\/(-5) + 1 - 0 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccccpcpccc. What is prob of sequence pccc?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*g**2 - g + 1 - g + g + 0*g in the form w*g**2 + q*g + u and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -64) + 109 + -135?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 324, 2, -0.4, 4\/9 in increasing order.\nAnswer: -0.4, 4\/9, 2, 324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 0.5509099 minutes?\nAnswer: 33054594000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -30410304 by 316774.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the second derivative of -13*j**3\/6 - 218*j. Let b(z) = -z**2 + 9*z + 4. Let p be b(9). Let y(x) = -4 - x**2 + p. What is v(y(a))?\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7 - -76. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/14)\/((-8)\/(-48))*(-707)\/(-8484)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1452, 1450, 1448?\nAnswer: 1446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2 + 1)*10*1. Let l be 8*(-5)\/(n\/33). Let z be (9 - (-2 + 1)) + 2. What is the greatest common factor of l and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -2*w - 2*w + 7 - 2. Let g(d) = d - 7. Let s be g(3). Is r(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*g**5 - 96*g**4 + 39*g**3 - 3600*g**2 - 890*g**3 - 239*g**3 - 49*g**4 - 230*g**3.\nAnswer: -5*g**2*(g + 5)*(g + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11 - 8. Suppose 17*t - 7*t = -1600. Let q = 164 + t. Solve -3*m = -q*x - 7, -x + d*x = m - 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -112*t + 1591. What is the remainder when j(-7) is divided by 140?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 52*u + 105. Let z(v) = 63*v + 105. What is 4*n(o) - 3*z(o)?\nAnswer: 19*o + 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 4*l - 2. Suppose 8*u + 25 - 1 = 0. Determine f(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.75 - -2. Let l = 0.2500038 - q. What is l rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 68 and 118660?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12 + -17. Let o = x - 1. Let j(f) = -f**2 - 9*f - 1. What is the remainder when j(o) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a**4 + 90*a**3 + 300*a**2 + 280*a = 0.\nAnswer: -14, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/21 of a week in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3\/15*3)\/(1\/15). Solve 2*l - 5*l + i = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p\/(p**(-2\/5)*p))\/p)**(-2\/63)\/(p**(-4\/3))**(-2\/27))**(-2\/187) assuming p is positive.\nAnswer: p**(452\/530145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-3)\/(-4))\/((-3)\/(-12)). Suppose k*m = m + 4. Let r = 6 + m. Solve 0 = n - 3*n + r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the second derivative of 5*y**4\/6 + 7*y**3\/6 - 13*y**2 - 103*y. What are the prime factors of o(-8)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the first derivative of -121*p**4\/4 + 4*p**3\/3 + 2*p**2 - p + 21. What is the remainder when v(-1) is divided by 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -18 - -28. Suppose 9*y - 4*y = -2*c - 6, -y + 2*c + 6 = 0. Suppose y = 5*j + 3*h - 87, 2*j + h = 6*h + o. What is the remainder when j is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 630.2962 to the nearest ten.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -108*y + 103*y = -180. What is the remainder when y is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -857041, -857082, -857193, -857410, -857769?\n\"Answer: -6*h**3 + h**2 - 2*h - 857034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - ((2 - 8) + 1 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000671 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 7907292942?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133)*2*-2)\/(2*sqrt(1008) + sqrt(7)) - (6*(-6*sqrt(228)*-2 - sqrt(228))\/((sqrt(72)*2)\/sqrt(6)))**2.\nAnswer: -20691 - 4*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 9 + 1 - 11*s + 1 - 16 - 2185*s**2 + 7. Let q be o(1). What is q rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -118 - -134. Let k = 2251 + v. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 513 divided by -503744?\nAnswer: -513\/503744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1*(6\/2 - 2). Suppose -2 = -b + m. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -i*y**3 + 29*i*y**2 + 214*i*y + 2*y**3 - 3301*y wrt i?\nAnswer: -y**3 + 29*y**2 + 214*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 54195431957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 216173 is divided by 3179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 21 = s, -4*t + 27 = -4*s + 67 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange d + 1 - 1 + (-3*d + 4*d - 3*d)*(2 + 0 - 1) - 2*d - 1 + 1 + 25 + 38*d - 36*d + 15 to g*d + s and give s.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -bb4 (base 16) to base 10\nAnswer: -2996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/6?  (a) -5\/2  (b) -0.09  (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 172209 is divided by 41745.\nAnswer: 5229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 801*w**2. Let x(u) = 293*u**2. Calculate x(d(c)).\nAnswer: 187989093*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-25)\/4)\/(-1)*(-952)\/(-595)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 11 = -14. Solve 2\/3*h**u - 2\/3*h + 2\/3*h**4 + 0 - 2\/3*h**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 155\/616 - -3\/88. Let h = 357089\/619735 + 2\/7291. Let i = -3\/17 + h. Sort -2\/15, k, i.\nAnswer: -2\/15, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w. Let b(v) = 13*v + 1. Let m(z) = b(z) - 3*l(z). What is the remainder when m(4) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*c**2 - 91 - c**2 - c**2 + 7*c**2.\nAnswer: -c**2 - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(-5) + 2)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6617916 milliseconds in hours?\nAnswer: 0.000000183831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -70*u**2 + 34*u**2 - 7*u**3 + 36*u**2.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -17 times 0.42\nAnswer: -7.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*r + 7*r - 3*r)*(23*r - 13*r - 12*r)*(0 - 1 - 3).\nAnswer: 80*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 48*y**2 - 47*y**2 + 6*y + 0 - 1. Give j(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**3 + 6*n**2 + 2*n + 5. Let l(k) = k**3 - 9*k**2 - 3*k - 7. What is -5*l(h) - 7*s(h)?\nAnswer: 2*h**3 + 3*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, -534, -5, 615, 1\/2?\nAnswer: -534","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and -1.6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/(-3)*(-663)\/(-221)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*o**3 - 2*o**2 + 4*o**2 - 9*o**3 - o**3 to the form u*o**2 + l*o + t*o**3 + h and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-22)\/(-121) - (-20)\/11. Suppose 55 + 62 = -3*t. What is the tens digit of 42\/(-9)*t\/n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 590 - 653 = 9*o. Sort -3, 1, o in ascending order.\nAnswer: o, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4784, -0.07, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4 - -23 - (-1 + 8). Suppose o*n - 10264 = 12*n. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2545 - -2542) + 1 + (1 - 1) + 0 + -49?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1354000 rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 426 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -7890427890 take away 0.583?\nAnswer: -7890427890.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2558.\nAnswer: 2, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 299?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 4*d = 0, -3*a - 3*d = 2*a. Suppose 5*s = 2*g - 10, -5*g + 0*s + s + 2 = a. Solve -24 = -4*r - 4*i, -2*r + 2*i - 3 - 5 = g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.3 or 1441?\nAnswer: 1441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 574.7 - -50.3. Let m = -3.0924 - 621.9718. Let p = m + l. What is p rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 8 = -2*d + 3*d, -3*d = 5*q + 7. Let b = d + 7. Suppose 3*i = 0, 280 = 4*t - i - b*i. What is the greatest common factor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33 + 77*c + 33 - 2.\nAnswer: 77*c + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 + 8*t**2 - 11*t + 10. Let m be h(7). Let p = -10 - m. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = 2*h - 132. Let w be 2\/12 + 7\/(-42). Suppose 0 = -4*k + 4*n + h, -4*n + w*n + 136 = 4*k. What is the remainder when 56 is divided by k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mrrgmgrqrqgggmqmgrr. What is prob of sequence gr?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 12.16192 to 0 decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express s**4 + 0*s**2 - 2*s**3 + 0 + 43*s - 42*s + 2 + 2*s**2 as m*s**2 + q + t*s**4 + r*s**3 + y*s and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1, 4, -399, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 2 b when three letters picked without replacement from {b: 3, r: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + -8128963.\nAnswer: -8128957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-640)\/(-11) - 4\/22. Suppose -3*h - d = -4*z, h + 2 - 4 = 0. Suppose -2*q + z = -24. What is the highest common factor of q and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11)\/55 + 52\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14 + -10. Let v = s + -2. Let a(p) = 2*p**2 + p + 1. Let d be a(v). What is the highest common factor of d and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the third derivative of a**8\/1344 + a**7\/840 - a**6\/480 - a**5\/240 + 3*a**2. Determine s, given that m(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*l - 386 + 281 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*h + 3*h. Let r be (-2)\/(-9) - h\/(-18). Let b be r + -1 - 161\/(-147). What is the smallest value in b, -2\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(-16)\/z)\/((z\/(z**28*z))\/z))\/(z**(-12\/11))**13 assuming z is positive.\nAnswer: z**(299\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 15 = 0, 0 = -3*h + 6*m - 8*m - 99. Let g be (-147)\/(-14)*8\/6. What is the remainder when 81 is divided by (-2)\/(10\/(-207)) + g\/h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4750 divided by 7?\nAnswer: 4750\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**3 + 12*n**2 - 9*n - 14. Let u be (-3)\/4 - 94\/(-8). Let q be l(u). Solve 2*m = -2*r + 6, q*r + m - 18 = 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 978404?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14 - -25. Let x = w + -9. Suppose -13*o**2 - 21*o**3 - 6*o**x + 4*o + 135*o**4 - o**2 = 0. What is o?\nAnswer: -2\/5, 0, 2\/9, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 + -48c?\nAnswer: -48d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:47 AM and 3:26 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -192 - -198. What are the prime factors of (-9)\/g*3384\/(-27)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17967664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 70497, 140985, 211473, 281961?\nAnswer: 352449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - 107.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 15 = -b + 3, 21 = 5*b + 2*o. Solve b*h = 2*h - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5715 is divided by 126.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**2*(i\/(i*i**8))\/i)**(-14\/5)*(i*i*(i\/i**(-1\/5))\/i*i**(-5))\/((i\/(i*i**0\/i))\/i)**(-43) assuming i is positive.\nAnswer: i**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**2 - 6*y + 6. Let d be l(-6). Let g = d - 4. Calculate the remainder when 15 is divided by (-3)\/((-4)\/(24\/g)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15023 (base 10) to base 6.\nAnswer: 153315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 19 + -14. Suppose -u*a + 5*o = -75, -6*o + o = 3*a - 45. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) -4  (b) -0.2  (c) -1.8  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10 + 12. Suppose -y*x - g = -3, 8*x + g - 15 = 3*x. What is the third derivative of -24*s**2 - 122*s**4 + 10*s**2 + 124*s**x wrt s?\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -89\/15474 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zvovvovoozvo. What is prob of picking 2 v, 1 z, and 1 o?\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 648819 is divided by 92684.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**2 + 12. Let j be l(-4). Let x = 5 - 5.7. Let i = 0.3 - x. Which is the biggest value?  (a) j  (b) -2  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 14112 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 167831430?\nAnswer: 2, 3, 5, 13, 157, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1021373190*b**2 + 377586534?\nAnswer: -2042746380*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and 1.01.\nAnswer: -2.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-29 - -30) + (-4)\/(-208)*-54. What is the closest to a in -2\/15, -2\/11, -4\/7, -4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(3\/11)*s**25 assuming s is positive.\nAnswer: s**(278\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*a - 252 = -4*a - 26*a. Let l(q) be the second derivative of 0*q**2 - 11\/6*q**3 - 12*q + 0 - 4\/3*q**a. What is the second derivative of l(g) wrt g?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, p: 2, i: 1, a: 2, z: 1}. What is prob of sequence ez?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 49, 283, 107, -2 in descending order.\nAnswer: 283, 107, 49, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let a = -276 - -89. Let r = a - -1248. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14786884*y**3 - 8062335*y.\nAnswer: -88721304*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*f**4 - 1 + f + 3*f**4 - 2*f**2 - f**2 to the form r + v*f**2 + m*f**3 + i*f + c*f**4 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 360536732?\nAnswer: 2, 37, 2436059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -18\/25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*d**5\/13 + 9168*d**4\/13 + 13822*d**3\/13 + 588*d**2\/13 - 266*d + 576\/13 = 0.\nAnswer: -1, 1\/4, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 3*g - 0*w - 40, -4*g + 32 = 4*w. Let j be (-2)\/(-7) + 1476\/126. Calculate the greatest common divisor of j and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:14 AM and 9:26 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:56 AM and 5:13 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-11)*6\/(-36)*15\/5.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 105*m**2. Let w(t) = 3*t**2. Give w(h(y)).\nAnswer: 33075*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1\/9)*t)**(2\/93)\/(t\/t**(-13\/5)*t*t**(-8)\/t) assuming t is positive.\nAnswer: t**(18494\/4185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes after 7:37 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b + 6. Let p be y(2). Let g(m) = 3*m**3 - 2*m**2 + 4*m + 5. Let a(d) = -5*d**3 + 4*d**2 - 7*d - 9. Calculate p*a(h) + 7*g(h).\nAnswer: h**3 + 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.08 + -47662.67.\nAnswer: -47662.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 49.2+-585.807395\nAnswer: -536.607395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**3 + 26*f**2 + 18*f + 25. Is r(22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the first derivative of 5*x**4\/4 + 3*x**2\/2 + 5*x + 51. What are the prime factors of y(3)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -11*v + 8. Let n = -79 + 92. Let g(x) = -5*x + 4. What is n*g(l) - 6*r(l)?\nAnswer: l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3003 + -2978. Calculate the greatest common factor of i and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**2 + 11*d + 11. Let p be c(-11). Let w(n) = -n + 14. Let t be w(p). Suppose -t*f + 12 = -2*f. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.8  (b) 2  (c) 3  (d) 0.2  (e) -0.3  (f) 5293  (g) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 489407\/10998 - -2\/5499. Determine o so that 37\/2*o**4 - 5\/2*o**5 - v*o**3 - 9*o + 0 + 75\/2*o**2 = 0.\nAnswer: 0, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.07 + -2.07. What is the nearest to 0.1 in 5, -1\/2, y?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**3 + 18*n**2 - n + 14. Calculate g(18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -57, -62, -69, -78, -89, -102?\n\"Answer: -p**2 - 2*p - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 4*o = -5*x - 7, 3*o + 5 = -2*x. Let r = x - -7. Suppose 2*f = r + 10. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -34*i**5 + 134*i**5 - 46*i**5 + (0*i**3 - 4*i**3 + i**3)*(4*i - i**2 - 4*i) + i**3 - i**3 + i**5 + i**3 - 47*i**2 + 47*i**2 - 6*i**5.\nAnswer: 52*i**5 + i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 20, 17, 10, -1, -16, -35?\n\"Answer: -2*t**2 + 3*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the third derivative of a**6\/120 + a**5\/10 + a**4\/4 + 21*a**2 - a + 12. Determine p(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*i - 144 = -23*i. Suppose -2*o = -5*o - 5*v + 780, 3*o = i*v + 780. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhuuuh. What is prob of sequence uh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/2*(-42)\/140*40\/(-8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 7886\/(-1578) - 30\/(-6). Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of 4\/3*v**3 - 56*v**2 + 1\/30*v**6 + 0 + 0*v + 0*v**4 + 2\/15*v**5. Let f(c) = -c**2 - 1. Give -8*f(q) - l(q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2880 divided by -5\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g\/g**(-3\/4))\/g)**(-6))**5*(g\/(g\/(g\/g**(-1))))**(-2\/71)\/((g*g**0\/g)\/g**(1\/11)) assuming g is positive.\nAnswer: g**(-35091\/1562)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -19382668 by -19382668.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 130\/(-3445) - (-8918)\/371.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/118750 and 43\/17930.\nAnswer: 212918750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -1.28, -0.5, 4 in increasing order.\nAnswer: -1.28, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/1840 and 117\/322.\nAnswer: 12880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggo when three letters picked without replacement from {o: 3, m: 6, t: 2, g: 2}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4865728?\nAnswer: 2, 7, 10861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -82, -86, -90, -94?\n\"Answer: -4*k - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13451, -13440, -13401, -13316, -13167, -12936?\nAnswer: -12605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -18 + 9. Let n = 1 - c. Let a = -12 + n. What is the closest to 1\/4 in a, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes before 8:46 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1403*l**2 + 1403*l**2 - 4*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the third derivative of 5\/36*u**4 + 0*u + 0 + 1\/15*u**5 + 1\/9*u**3 - u**2. Factor v(o).\nAnswer: 2*(2*o + 1)*(3*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the second derivative of -11*p**6\/30 + 9*p**2 + 2*p. Find the first derivative of h(f) wrt f.\nAnswer: -44*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 6.39, 3\/7, -118?\nAnswer: 6.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1286617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (10\/(-4))\/(9\/(-18)). Let f = -4958 + 44662\/9. Which is smaller: b or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u**2\/15 + 36982*u\/15 - 1525580 = 0. What is u?\nAnswer: 641, 17850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffxlxxifblf. What is prob of picking 1 l, 1 x, and 1 i?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h**(3\/5)))\/(h**(-4)\/h)*h**(1\/3)\/h**(-2\/3)*(h*h**(-3\/2))\/(h**(2\/7)\/h)*h**(2\/7)*h*h\/h**2*h assuming h is positive.\nAnswer: h**(69\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 731290*-0.5\nAnswer: -365645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20238 and 10119?\nAnswer: 20238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**2 + 16 + 9*u - 6 + 0*u + 0*u. Let w be o(-8). Suppose 0 = k - 5*k - w*d + 1994, 0 = -5*k - 3*d + 2490. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -3*z - 6. Let d(u) be the first derivative of -13*u**2\/2 - 25*u + 43. Calculate 2*d(q) - 9*f(q).\nAnswer: q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 36 = -24. Let t(u) = 3*u**2 - 15 - 22*u - 4*u**2 + 9*u - 13. What is the least common multiple of t(-8) and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101403334 (base 5) to base 4.\nAnswer: 1212112103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, 61.5, -4?\nAnswer: 61.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/5 + 3785\/(-300) and -73\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from reeeexeexehpeeeexzxe. Give prob of sequence pre.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 3*n - 14 = 0, -4*l + 2*n = -6 + 22. Let b be (-8 - -4)*8\/(l - 0). Suppose -2*d = -3*d + 5*t + 28, 0 = -4*d - 4*t - 8. Solve -b = d*q + q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 4*a - 24 = -70, 41 = 3*b + a. Solve 4*i = -i - b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67.3 times 2?\nAnswer: 134.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - 3*c = 3, 2*f + 5 - 3 = 2*c for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -199*r = 8*r - 48*r - 636. What is v in -r + 52\/3*v - 40\/3*v**2 = 0?\nAnswer: 3\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d + 3*t + 248, -4*d + 5*d + t = 124. What is the remainder when d is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-5)\/15 + 87\/18)*156\/(-234). Let u(i) = i**3 + 8*i**2 - 3*i - 3. Let c(r) = -2*r**3 + 2 + 2*r + 4*r**3 - 8*r**2 - 3*r**3. What is n*c(b) - 2*u(b)?\nAnswer: b**3 + 8*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b*b*b**(2\/7)*b*b)**(-23))**(-3\/19)\/(b*b**(-3)*b**6*b*(b\/b**(2\/3))\/((b**(4\/5)\/b)\/b)) assuming b is positive.\nAnswer: b**(25261\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {t: 16, p: 2}.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 255800861?\nAnswer: 337, 759053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = p - 424 + 427, 0 = -2*p - k - 10. Let w(m) = -m**3 - 5*m**2 + 13*m + 20. Determine w(p).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 20 - 21. Let z be 2\/(-4) - (-1702)\/(-28). Let d = 61 + z. Which is the closest to d?  (a) s  (b) 0.1  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 1517188?\nAnswer: 1517188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.2 + -0.7. Which is the smallest value?  (a) 0  (b) o  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-t**3 + 0*t**3 + 2*t**3)*(-14*t - 8*t - 20*t) to the form x*t + k + h*t**3 + i*t**4 + n*t**2 and give i.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-2\/3)\/d)**(-37)\/(d**(-1\/6))**(8\/9) assuming d is positive.\nAnswer: d**(670\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**2 - 9*b - 86. Let p be u(-6). Calculate the greatest common factor of p and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j**4*j)\/(j**0*j))\/(j\/((j*((j*j**(-1\/3)*j)\/j)\/j*j)\/j)*j**(-1)))\/((j*j**6)\/j**(-2\/9))**41 assuming j is positive.\nAnswer: j**(-2623\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 6) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 158043274.\nAnswer: 2, 41, 1927357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 7048392.3ns in hours?\nAnswer: 0.00000195788675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2870 = 4*s - 154. What is the common denominator of (-6)\/21 - (1569\/s - 3) and -23\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of (-3)\/(-7)*(10 - 8)*(-7 - -973)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**3 + 32. Let w be l(0). Let q = -131 - -131. Solve -i + 5*i + 12 = q, -w = 4*c + 4*i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -56265441 - 6?\nAnswer: -56265450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 3 d when four letters picked without replacement from duxu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 92723 is divided by 365?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.36?  (a) 3  (b) -2  (c) -0.55  (d) -3  (e) 0.24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, i: 8, p: 3, s: 7}. What is prob of sequence igp?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2a + b?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/21  (b) 2  (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 9\/10 of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -46511 (base 7) to base 14\nAnswer: -44b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13204 is divided by 61.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 6, y: 3, j: 4, m: 2}. Give prob of sequence mmy.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q - 5*q - 3 = 0. Suppose -2*y - 2 = -0*v - 2*v, -q*v = -3. Suppose 20 = 4*d - 0, u - 3*d + 8 = y. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16305997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -2*m**2 + 4 - 6*m - 8*m**3 + 8*m**2 - 10. Let q(y) = -y**3 + y**2 - y - 1. Let s = -513 + 512. Calculate s*h(i) + 6*q(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 7, n: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*k - 38089*k**2 + 38827*k**2 + 0*k.\nAnswer: 738*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-1626)\/78 + (27090\/(-546) + 49)*(-1)\/(-4)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 - 2 - 1*-1. What is the nearest to i in 2, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -103014, -103010, -103000, -102978, -102938, -102874?\nAnswer: -102780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4662 by -9.\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -24 in -0.1, -106, 5, 0.2, -0.01?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 24 = 3*z, c + 2*z - 6*z = -21. What is the common denominator of 99\/2 and (-2)\/((-72)\/c)*-21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 108443 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: Let z(j) be the second derivative of 1\/3*j**3 + 1\/12*j**4 + 0 + 4*j + 5*j**2. Let r be z(0). Solve -r = -g - 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13.5 - -7.45. Let r = 6 + j. Let w = r + 0.05. Which is greater: w or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 20986?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 76476, 76489, 76508, 76533?\nAnswer: 76564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -6875, -13759, -20643, -27527, -34411, -41295?\n\"Answer: -6884*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 33 - 32. Let u(z) be the first derivative of 4*z**3\/3 - 19. Calculate the remainder when u(p) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 2*a - 15. Let z be l(11). Suppose o = z*o - 546000. What is o rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 1337?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 596 - 462. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vwxdtavt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 3*v + 1 - 5 = 0, -5*l - v + 3 = 0. Suppose p = -0*p - l. Let y be (p\/7*4)\/2. Do 1 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17631, 17633, 17635, 17637?\nAnswer: 17639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/1*5\/(-50)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i - 6. Let s be z(-9). Sort s, -3, -1 in ascending order.\nAnswer: -3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 67*c - 534. What is s(5)?\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*q - 48*q - 590 = 0. What are the prime factors of 181\/(((-30)\/9)\/q)?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-123*d + 56*d - 71*d)*(0 + 2*d + 0 + (0 - 2 + 5)*(-d + 3*d - d)).\nAnswer: -690*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g - 990. Let k(q) = 23*q**2 + 5*q. What is k(v(f))?\nAnswer: 23*f**2 - 45535*f + 22537350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21 + -4 + (-36 - (2 - 34)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 + 0. Let r be (4\/m)\/((-4)\/6). Let g(y) be the third derivative of y**4\/8 + y**2. Give g(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l + 5*x + 26, 0 = 4*x - 1 + 5. Let a be ((-6)\/45 + (-17)\/(-15))*l. Solve a = -d + 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 531731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*i + 45*i - 1716. Solve 0 = -2*m + i - 18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(-5) + 9\/12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 11134742?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**3 - 5*s**2 - 7*s + 5. Let o be j(6). Let k be o*3 + (-44)\/(-2). Solve -2*x - 3*i = -8*i - k, x + 4 = -2*i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*w + 5*w - 21 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a + 1. Let r be h(9). Let j = r - 8. Solve 0 = -4*w - 8, -w - j*w - 11 = 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31 (base 5) to base 11.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 2*f**2 + 19*f - 56. Determine n(-16).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 1 = t - 0*n, 5*t - 25 = 5*n. Suppose 24 = 17*c - t*c. Solve 4*o - 16 = -3*v + c, 3 = v - 2*o for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 7259 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in -0.04, 1, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 879818.8 decades in years?\nAnswer: 8798188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -41 + 138?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**3 - f**2 + 3*f + 4. Let k = 3 + -6. List the prime factors of h(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -656 by 16.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-8)\/3*21\/14. Let g be q\/(-6)*3\/(-7). Which is the biggest value?  (a) 0  (b) g  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 5*t - 25 = 0, 5*y + 15 = y + 5*t. Suppose 0 = -n - 3*i + 12, 4*n + 7 = -0*i - i. Put n, 2, y in ascending order.\nAnswer: y, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in -2\/5, 1\/86, 7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 4*n + 27. Let g(k) = k + 1. What is -3*g(v) + r(v)?\nAnswer: v + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in 5, -10\/39, -1\/3, -3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 - v + 8)*(3*v**2 + 7*v - 7*v) + v**2 - v**2 + v**3 + (-v**3 + 3 - 3)*(4 - 1 - 5) - 4*v**3 + v**3 + 2*v**3 + 190*v**3 - 129*v**3 - 147*v**3.\nAnswer: -87*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(1 + -1 + sqrt(325))**2 + 0.\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 235*i**2 - 103*i - 11. Let y = -387 - -385. Let c(b) = 47*b**2 - 21*b - 2. Let x(u) = y*w(u) + 11*c(u). What is the second derivative of x(n) wrt n?\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -567*l + 708 = 64*m - 568*l, -4*l - 27 = -m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1, 9, 0, -12.\nAnswer: -12, 0, 1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let 1\/3*g**4 + 20\/3*g**2 + 0 - 8\/3*g**3 - 16\/3*g = 0. Calculate g.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from whkhhhkzbhhbb.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-8) - ((-2513)\/(-252) - 9)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**3 - 4*v**2 + 2*v + 3. Let r be m(8). Suppose -o - 4*o + r = 0. Suppose o = 5*c - 70. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -23 + 158. Differentiate -k*a - 9 + 135*a + 8*a**2 with respect to a.\nAnswer: 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 4, -63, 1, 64 in decreasing order.\nAnswer: 64, 4, 1, -6, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.91 - 0.91. Let l = 3.5 - 4. What is the second biggest value in -2\/11, m, 1\/4, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 - 1)*(g - g + g**4) - 2*g**4 - g**3 + g**3 + (0*g - 3*g + 4*g)*(6*g - 6*g + 5*g**3).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:50 PM and 10:35 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -500*l. Suppose p = 4, -2*s + 16 = 2*s + 2*p. Let g be c(s). Round g to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 21\/28 - (-51)\/12. Suppose p*y = u + 172, 0*y + 20 = y - 5*u. Suppose -4*w - b = -130, -w + y = b - 2*b. Is 33 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**2 - 16*y - 48. Let q be h(-10). Solve -5 = -4*a + 3*d, q = 4*a + d + 3*d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-2 - (-915)\/10)*-39*(-4)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the second derivative of -h**3\/2 - h**2 + 5*h. Let f(z) = -z**3 - 7*z**2 - 6*z + 8. What is the remainder when f(-6) is divided by r(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -75 - -103. What is the greatest common factor of 196 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) 18\/13  (b) -0.1  (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 42.53 - 42.63. What is the smallest value in q, -5\/6, 2?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 56  (b) -0.3  (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 216*o - 222858 = 162*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42401728.\nAnswer: 2, 662527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1551460013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 119 - 103. Suppose n*r + 34 = 33*r. Solve 5*l + 4 - 7 = 3*m, 5*l + 2 = -r*m for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -114.7 * 130970\nAnswer: -15022259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {l: 8, y: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 + -109778.\nAnswer: -109777.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/q**(-2\/7)*q**(7\/5)*q*q assuming q is positive.\nAnswer: q**(164\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cvhxvuddxvhh. What is prob of sequence xh?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -111707671 divided by -4\nAnswer: 111707671\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -345.447 - -344. Let r = -1.221 - 0.309. Let z = r - i. Round z to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*w - 3 = 5*b + 2*w, 0 = -5*w + 10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -6*p + 2*p. Let o = p - -8. Let y(w) = -5*w + o*w + w. Let q(b) = 3*b**2. Determine y(q(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*w - 29*w = -g + 10, -20 = -2*g - 4*w. Solve -g*i - 1 = 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 3*o + 7. Let h(n) = 4*n + 8. Let f = -15 - -20. Calculate f*h(g) - 6*l(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**3 - 8*m**2 - 2*m + 3. Give s(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 2)*(13 - 12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-13) - (74\/(-185) + (-5054)\/65). Calculate the highest common factor of j and 2834.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 + 13)*(-14)\/28. Let q(d) = d**3 + 6*d**2 + 2. Let m be q(i). Suppose 13*r + r**4 + 30*r**m + 7*r + 8 + 7*r**3 - 12*r**2 = 0. Calculate r.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2304285, -4608604, -6912923, -9217242, -11521561?\nAnswer: -13825880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -511, -1054, -1585, -2098, -2587?\nAnswer: -3046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1659404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -29*r**3 - 1804*r**2 - 381*r - 554. Determine n(-62).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -15, -25, -45, -75, -115?\n\"Answer: -5*k**2 + 5*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4*2\/8*3. Suppose w*c - 26 = -5*s, -4*c + 0*s = 4*s - 24. Is 84 + (1 - c) + 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 2*q + 32. Suppose -2*t + 19 = -5*h, -152*h - 5*t + 5 = -156*h. Let w(p) = -4*p - 65. Determine h*f(m) - 2*w(m).\nAnswer: -2*m - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(2\/(-14)*15\/(-15)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one twentieth of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y**4\/2 + 12995*y**3 + 112165500*y**2 + 317910720125*y - 62449988725625\/2 = 0. Calculate y.\nAnswer: -8695, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -92.458452 and 5?\nAnswer: -462.29226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g*g**(1\/2)*g)\/g)\/g*g*g*g)\/g*g**(-1)*g)\/(g**(2\/5))**(-3\/11) assuming g is positive.\nAnswer: g**(287\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -306 = 1479*q - 1513*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -2*i**2 - 7*i + 2. Let w = 12 - 18. Let t be g(w). Round t to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 308 divided by 1736.\nAnswer: 11\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 491, -5, 5 in descending order.\nAnswer: 491, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*o**3 + 36*o**2 - 3120*o - 29068 = 0.\nAnswer: -13, 43\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*v**5 - 31*v**4 + 31*v**4 + 6*v**2 wrt v?\nAnswer: 360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes after 9:57 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 2*q**3 + 21*q**2 + 10*q - 30. Let d be i(-10). Let b be ((-2)\/4)\/((-3)\/d) - -17. Solve 4*a + 8 + 8 = -o, o = -3*a - b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -2*p**3 - 41*p**2 - 585*p - 1426. Determine z(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*d - 20*d + 7*d - d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 42.32 + 2.68. Put 2\/13, -6\/5, -1, u in descending order.\nAnswer: u, 2\/13, -1, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 33*a**2 + 1464*a + 4325. Let m(b) = -80*b**2 - 3660*b - 10812. Let t(y) = 5*m(y) + 12*q(y). Factor t(s).\nAnswer: -4*(s + 3)*(s + 180)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002349 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -28*b**3 + 920*b**2 - 1636*b + 744.\nAnswer: -4*(b - 31)*(b - 1)*(7*b - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15 + 85 - 27) + (0 - -3 - 1 - 11).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -11317300 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29 + 38 - 2*p + 65 + 10 + 0*p.\nAnswer: -2*p + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3\/260 - 577\/4940. Let w = -20 - -20.2. Let l = -0.47 + -2.53. What is the second biggest value in w, p, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 122*s + 89*s**2 - 30*s**2 - 32*s**2 + 76*s - 29*s**2.\nAnswer: -2*s**2 + 198*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -13 - (4 - -6)*4\/(-5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 9*t**3 + 15*t**2 - 11*t + 3. Let o(b) = 16*b**3 + 29*b**2 - 18*b + 5. Give -3*o(y) + 5*p(y).\nAnswer: -3*y**3 - 12*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3768 - 3702 - (-18 + -3)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(16 + 2) - (-3986739)\/121014.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -181\/570 and 157\/1140?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 166 + -395\/2. What is the common denominator of 85\/4334 and k?\nAnswer: 4334","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3110011 - 2323?\nAnswer: 3101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 40\/(-30)*(-2)\/(-2)*3. Let w = 1195\/7 - 171. What is the closest to -1\/3 in -3\/4, w, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**2 + 17*s - 11. Calculate u(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16598*o + 16601*o - 8 - 17 + 25 - 33198*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 2*p - 31. Determine d(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -83 + 156. Suppose 0*y - 2*d = y - 98, 0 = -5*y - 4*d + 460. Let z = s + y. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9\/2684 and 87\/14?\nAnswer: 18788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.48, -4, 0.2, -0.0503 in ascending order.\nAnswer: -4, -0.48, -0.0503, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 2*t + 12. Let b be n(-5). Solve 2*l + q + 6 = 0, 0*q + 2*q - 18 = b*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(1\/3)*m)**(-23)*m\/m**32*m**(-2)\/m)**48 assuming m is positive.\nAnswer: m**(-3104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 38 = 42. Suppose -13*d + 40 - 1 = 0. Suppose -3 = -4*l + d*l + m, l - 3*m = -5. Calculate the remainder when q is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -46 + 53. Suppose -k + 245 = -g*m + 4*m, -m - 5 = 0. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -356 or -351?\nAnswer: -356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 11, 77577 in descending order.\nAnswer: 77577, 11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 5, l: 2, u: 13}. What is prob of picking 2 l?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**4\/13 - 10*b**3\/13 + 14*b**2\/13 - 6*b\/13.\nAnswer: 2*b*(b - 3)*(b - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 131037.\nAnswer: 3, 31, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 7 + 5*a)*(2*a + a - 5*a).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -2*z - 7. Let n be k(-8). Let t be ((-15)\/n + 2)*0. Which is smaller: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 3995 - 7999 - 3*v + 3993. Let i(s) = -5*s - s + 4*s - 6. Calculate 5*i(l) - 3*u(l).\nAnswer: -l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2 - 311620*y. Let f(n) = -n**2. Determine h(f(z)).\nAnswer: z**4 + 311620*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 1. Let a be (-1 + -2)\/(6\/(-2)). Let j(c) = -63*c**2 + 126. Let b(q) = a*j(q) - 126*d(q). Let h(l) = -l. Determine h(b(o)).\nAnswer: 63*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -41*o**2 - 5*o**3 - 1 - 93*o**2 + 5*o**3 + o**3 + 7*o**4 + 120*o**2 - 9*o as r*o**2 + p + b*o + c*o**4 + k*o**3 and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 326004024?\nAnswer: 2, 3, 23, 563, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5592220.1 and 15.\nAnswer: -83883301.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -0*b + 19606. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-46)\/1932*-42*-32\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let r = -27 - -26.5. Put 3\/4, 4, r in ascending order.\nAnswer: r, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 - -6. Let b = w + 12. What is the greatest common divisor of b and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-72)\/2142)\/((-10)\/35).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -284879 - 668491 = -1487*t - 10283*t for t.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -k - k. Let z(i) be the first derivative of 1\/3*i**3 + i**4 + 5 + 0*i + 1\/2*i**2. What is z(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -117 divided by -39.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8152*o = 77912 - 664856 for o.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -139\/354 and -139\/354.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 2, n: 2, l: 6, g: 1, u: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-4)*t)\/(t*t**(1\/2)))\/(t\/(t**(-1\/4)*t))**(-29)*((t*t*t**(-1\/2))\/(t\/t**(2\/13)*t))\/(((t*t\/(t*t**(-4)))\/t)\/t*t*t*t*t**4) assuming t is positive.\nAnswer: t**(-395\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 830384654?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2244758 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + r = -3, -r - 18 = 4*w - 6*w + 11*r - 20*r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 74*q - 293. Let s be b(16). Calculate the greatest common divisor of s and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the second derivative of w**5\/10 - w**4\/3 - w**3\/6 - 2*w. Let m be k(4). Suppose 2*v - 4*v = -m. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 85900, 171770, 257642, 343516, 429392?\nAnswer: 515270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bxbxzc. What is prob of picking 1 z and 1 c?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 41, 5, 1\/4, -44, 0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 284233.\nAnswer: 284233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 3*n = -32. Let l = -5 + n. Calculate the remainder when 5 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that f**2\/5 - 263*f - 7653186\/5 = 0.\nAnswer: -2186, 3501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n**5 - 3546*n**4 + 28494*n**3 - 78468*n**2 + 85653*n - 32130 = 0 for n.\nAnswer: -1190, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 202\/(-25) - ((-98)\/(-25) - 4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 4185529422?\nAnswer: 4185529417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(((t\/(t*t\/t**5))\/t)\/t))**1 assuming t is positive.\nAnswer: 1\/t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -5*(1 + sqrt(75) + sqrt(75)) + 5)**2*-5.\nAnswer: -37580 + 2000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 1, 0.5, -3\/7, -6236?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - d = 19 - 11, -5*i + 19 = 2*d. Solve 0 = -p + i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 1\/2  (b) 2  (c) -2  (d) 0.18  (e) -497\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**2 - 1. Let a be o(0). Suppose -218*m - 2*v - 1 = -215*m, m + 3*v = -19. Put a, -4, m in decreasing order.\nAnswer: m, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 - 3521a?\nAnswer: -3521b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the second derivative of 3*j**7 + j**3\/3 + 123*j**2\/2 - 106*j. Find the second derivative of z(d) wrt d.\nAnswer: 2520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 90 a factor of 1465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 29*l**2 - 1. Let d(u) = -5*u**2. Let s(c) = 34*d(c) + 6*g(c). Let r be s(3). Let k = -36 + r. Let t(x) = -2*x - 7. Calculate t(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 11937339?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2 - 6*f - 115. Let n be d(-14). Suppose -n = -10*j + 15. What is the remainder when 70 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.06 and -93224.\nAnswer: -93224.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (951 - 951 + 716*x)*((-3*x + 4*x - 3*x)*(0 + 2*x**3 + 0) + 2*x**4 + x - x).\nAnswer: -1432*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9030 and 123830?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xixixxixc. What is prob of sequence ixc?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 172753694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 820296472*w**3 - 454382292*w**2 wrt w?\nAnswer: 4921778832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 4.4  (b) -2  (c) 2\/11  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.525, -1, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-264 - (-82319)\/313)*((-16)\/(-13) + -1).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7021 is divided by 3493?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6835 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 187 (base 9) in base 16?\nAnswer: a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z + 12 - 54. Calculate the remainder when (-1)\/((-123)\/z + -3) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/1*(-1)\/(-7). What is the closest to w in -5, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**4 - 7299516*a**3 - 80294313*a**2.\nAnswer: -3*a**2*(a + 11)*(a + 2433161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*k**2 + 89213710*k - 397954302598205.\nAnswer: -5*(k - 8921371)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 45 = -5*q + 2, -5*q = -3*l - 41. Suppose -2*t = -3 - 11. Solve 5*h - t = -4*u + 8, l*h + 8 = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange c**2 - 23 + 28 - 30 to b*c + a*c**2 + p and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4 - -1 - -4)\/((2\/(-2))\/8). Let w = -44 + 41. Sort w, i, 7 in descending order.\nAnswer: 7, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 3*c = c + 7, 3*j - 3*c = 21. Suppose -7*z = -2*h - 3*z + 270, j*h = z + 405. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b - 25 = -27*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 smaller than 2197\/2190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -2*z**3 - 4*z**2 + 6*z - 3. Let q be u(-5). Let i be 3 + (-4 - -5)*q. Suppose 0 = 6*j - 0*j - i. Calculate the remainder when j is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -59 + 101. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9549928 to the power of 1\/2, to the nearest integer?\nAnswer: 3090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -5*r + 31. Let j be h(8). Let n be 0 - (8\/(-12) + (-6)\/j). What is the first derivative of 21*d**3 + n*d**2 + 21 - 32 + 0*d**2 wrt d?\nAnswer: 63*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - (1 - (-1 - 1))) + -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 27599998\/(-12) + 3\/(-18). What is o rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4869 (base 11) to base 6\nAnswer: 45251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 244 - 177. Calculate the greatest common factor of y and 603.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -63\/47554 and 13\/1062?\nAnswer: 427986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2*t - 3)*(2*t - 3*t + 9*t) + 0*t - 5*t**2 + 0*t + (7*t - 4*t - 2*t)*(t - t + 2*t).\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 79255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14759041 by 1.\nAnswer: 14759041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -27\/8 and -77\/824?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-3))\/(((-1350)\/729)\/5)*5?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 + -35 + 0 + 3. Let r = k + 36. Does 22 divide 90 + 1*(1 - r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -c**2 + 8*c - 3*c - 5*c.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 16, 45, 128, 295, 576, 1001, 1600, 2403?\n\"Answer: 5*n**3 - 3*n**2 + 3*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**5 - 51*d**4 + 240*d**3 - 192*d**2.\nAnswer: 3*d**2*(d - 8)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 4*h**2 - 11*h + 9. Let n(z) = 2*z**2 - 360*z - 6. Let y(c) = -71*c - 2. Let i(p) = -n(p) + 5*y(p). Let d = -12 + 7. Give d*i(g) - 2*u(g).\nAnswer: 2*g**2 - 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 16\/33 and -18\/319.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -4*h + 2. Let g(n) = -7*n + 3. Let w = -1 + 4. Let v be 15 + -1 + 2 + -3. Let b = v - 18. Calculate b*c(l) + w*g(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-306)\/459*((-45)\/8)\/(-5))\/(5\/60)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve x = -q - 7, 5*q + x + 15 = -0*x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 4*g**2 - 8*g + 20. Give r(-6).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -105*w**3 + 619*w**2 + 194108*w - 18492 = 0?\nAnswer: -201\/5, 2\/21, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxxmxmx. Give prob of sequence mm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 23030*n + 30100221. What is j(-1307)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (((-54)\/(-15))\/(-3))\/((-72)\/1260). Solve 0 = t*i - 3*i - 36 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -13.447 and -3.\nAnswer: 40.341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*2*((5 + 1*sqrt(405))*6*-5)**2 + -4 + 1.\nAnswer: 162000*sqrt(5) + 773997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 984\/(-45) + 5 - 214\/1605?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -18 + (-1 - 0) + (106 - 94)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13 or -1198340?\nAnswer: -1198340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 2*f)*(2 - 1 - 2) + (2 - 6 + 3)*(3*f - 4*f - f) - 3*f - f + 3*f - f - f + 0*f - 4*f - f + 4*f - f - 7*f + 2*f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3 - 1)*(-19 - -21). Let n be (-1)\/(f\/(-24)*3). Suppose c + 202 = 5*u, -4*c + 0*c + 94 = n*u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 375376.\nAnswer: 2, 29, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 335 and 11189?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 2*w = -0*i - 17, -i - 1 = 4*w. Calculate the least common multiple of 8 and 13 + -1 + 0\/i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -19 + 20. Let l(u) = -6*u - 2 + 2. What is l(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 2*u - 2. Let c be n(5). Let z(k) = -k**2 - 26*k + 89. Suppose -2*p + 71 + 8 = -3*m, 5*m - 3*p + 133 = 0. Let y be z(m). Solve y*r + 2 = -c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -5*44\/935*-4. Let s = f - 63\/85. Suppose -8\/5*j - 4\/5 - s*j**3 - j**2 = 0. What is j?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t**2\/5 + 554*t\/5 + 556\/5 = 0. What is t?\nAnswer: -1, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(2\/13)\/f**(-3))**(3\/26)*((f\/f**(2\/5))\/f)**(-45)\/((f**(-1\/9)*f*f)\/f**3) assuming f is positive.\nAnswer: f**(59243\/3042)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1292 (base 16) to base 14.\nAnswer: 1a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 - -14352?\nAnswer: 14354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 190410940 to the nearest integer?\nAnswer: 13799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 362526.\nAnswer: 2, 3, 23, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1624*l**2 - 15*l + 760 - 1628*l**2 - 20*l - l = 0. What is l?\nAnswer: -19, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 5*p**2 + 15. Let o(b) = -b**2 - 4. Give -2*g(t) - 9*o(t).\nAnswer: -t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10160 + -8763. What is the highest common factor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ba07 (base 12) in base 5?\nAnswer: 1123310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 682340 (base 11) in base 12?\nAnswer: 44491b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 16 + -2 + (-1 - -1). Let k be (40\/(-70))\/(88\/28)*-11. What is the greatest common factor of q and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 2*a**3 - 2*a**2 - 64*a + 28. What is h(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -109060*747.\nAnswer: -81467820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4908, -29807, -97380, -228963, -445892, -769503, -1221132?\nAnswer: -1822115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87*a - 10*a - 4192 = 890. Solve -209*g = -220*g - a for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 126 and 6867.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1545597.914 and 2.9.\nAnswer: 1545600.814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 = 54*b + 55*b - 140*b. Let v = 5 - 9. What is the nearest to b in v, 4\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r + 46 - 64 = 0. Suppose 2*f - 4*b + 332 = -2*f, -r*f - 5*b = 225. Let y = f + 238. What are the prime factors of y?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**3 + 12*r**2 + 3*r - 31. Let m be a(12). Suppose m*b - 41 = 4. Solve 3*t - 2*h + 11 = 0, 4*h + b = 25 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -53, -110, -167, -224, -281?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -282 - -3747. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 5, r: 2, z: 2}. What is prob of picking 1 z and 1 r?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 11.8 and -3367?\nAnswer: 3378.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/2098 and -53\/4.\nAnswer: 4196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2761920 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000011244858 rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 5*k**2 - 3. Let s = 2 + 1. Let a = 116161 - 116145. Let t(j) = -24*j**2 + 16. Determine a*q(v) + s*t(v).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x - 10 + 46. Let h = -13 - x. Let s be (-2)\/h + 17\/5. Solve s = -y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 18*j**3 - 93*j**2 + 87*j - 12.\nAnswer: 3*(j - 4)*(j - 1)*(6*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -31 + 21. Let r = a + 12. Suppose -4 = r*z - 16. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7618897 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -191366 divided by -2.\nAnswer: 95683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t - 2*f + 6 = -4*t, 0 = 3*t + f - 6. Is 10 a factor of ((-3)\/12)\/(t\/(-2792))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 555111 is divided by 138304.\nAnswer: 1895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -24.19 - -0.19. Let r = 23.9999981 + y. Round r to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 9*f - 4. Suppose 0 = -2*t - 10 - 0, -4*t - 2 = 3*x. Suppose -v + x = v. Is y(v) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*u + 12 = -11*u. Put -5, u, 4 in decreasing order.\nAnswer: 4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 616\/(-352) + 554\/(-24) and (-362)\/(-72) + -4 + 3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(19) + sqrt(57)\/(sqrt(18)\/sqrt(6)) + 5.\nAnswer: 5 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -15*f**3 + 33*f**2 + 77*f + 327. Is x(-34) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -34*i*q**2 - i*q - i + 3189*q**2 with respect to i.\nAnswer: -34*q**2 - q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 24*q**6 + 381*q**3 - 48940*q**2 wrt q?\nAnswer: 2880*q**3 + 2286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -2*a**5 - 22468*a**4 + 179830*a**3 - 472120*a**2 + 494632*a - 179872 = 0.\nAnswer: -11242, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.2499  (b) -487\/14  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 2*n + 85. Let v(b) = -b + 86. Let k(p) = 3*u(p) - 2*v(p). Let o be k(-9). Let z = -4 - -6. Solve -z*y + 5*x - 14 = 0, -o = 3*y - 4*x + 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 89016 and 6.\nAnswer: 89016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 7921, 15846, 23771, 31696, 39621?\n\"Answer: 7925*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*q - 66 + 42. Solve g + 1 = v, 0 = -2*g - 2*v + q - 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - (-1)\/(-14)) + 6\/(-14).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**3 + 20*g**2 + 2*g - 2. Let o be y(-12). Suppose -4*q - o - 961 = -3*x, -x + q = -694. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1308 and 2?\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxxzz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/9 not equal to -858.78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*o**3 + 5*o**3 + o**3)*(o**2 - o**2 - o**2) - o**5 + 2*o**5 - 3*o**5 + (-2*o**4 + 2*o**2 - 2*o**2)*(4*o - 3*o - 2*o).\nAnswer: -o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express r**4 - 2 + 2 + 3657*r**2 - 23*r**4 - 3657*r**2 + (-2*r + r + 2*r)*(-3*r**3 + 3*r**3 + r**3) in the form f*r**2 + i*r + g + o*r**3 + j*r**4 and give j.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 - 5239*s**4 + 5237*s**4 - 14*s**2 + 3*s + 15*s**2 as b*s**3 + u*s**4 + w*s**2 + m*s + v and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmunuuuuuuumpmpmnm. What is prob of picking 1 n, 1 m, and 1 p?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -3*r**3 + 10*r**2 - 4*r - 19. Let o be t(7). Let g = 664 + o. Calculate the greatest common divisor of g and 351.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/(-11))\/3*176\/(-32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 219398 and 326.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (2 + -84 + 2 + 16 + (12 - 25))\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3142.153nm to kilometers.\nAnswer: 0.000000003142153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.14482766 rounded to three dps?\nAnswer: 0.145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g + 26 = -4*k, 5*k + 17 = -5*g - 13 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(39)\/(sqrt(33)\/(sqrt(66)\/sqrt(6)))*-2.\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5.68782 - 5.76782075. Let u = -0.08 - v. What is u rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15196.\nAnswer: 2, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ruuuruuurruuuu. What is prob of sequence rur?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes after 4:57 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2 - 0) + (-1)\/((-1)\/40). Suppose -82 = c - t*c. Solve -c*y = -3 - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3)*2)**2 + 1 + 0 + sqrt(363).\nAnswer: 13 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 1 l, and 1 r when three letters picked without replacement from ikigirl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -670  (b) 9  (c) -2  (d) -4\/7  (e) 0.06  (f) -20\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y + 127. Let g(d) be the third derivative of d**5\/30 - d**3\/6 - 62*d**2 + 14*d. Give i(g(w)).\nAnswer: -2*w**2 + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/56416 and 83\/646376.\nAnswer: 106005664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.395 + 0.395. Let h = -0.8 - -0.4. Sort 0.5, h, q, 2 in ascending order.\nAnswer: q, h, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12 - -14. Let k(i) = i**2 - 2*i - 2. Let f(h) = h + 1. Give g*f(q) + k(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -67*y**2 + 2*y + 3. Let s(j) = -68*j**2 + 3*j + 4. Calculate -4*g(c) + 3*s(c).\nAnswer: 64*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6*(3\/2 - 0). Let h = 6 - f. Sort 5, 4, h.\nAnswer: h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the first derivative of 67*c**3\/3 - 65*c**2\/2 + 19*c + 121. Is i(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*o = 28*o + 5*m + 59, o - 3*m - 31 = 0. Let r be ((-8)\/10)\/((-4)\/10). Calculate the remainder when o is divided by ((-12)\/(-5))\/(r\/10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 9}. What is prob of picking 4 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/2*4\/2. Let f(i) = -12*i - 50*i - 38*i + 101*i + 3. Let n be f(p). Solve 4*s = n + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in six fifths of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 98302 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u**2 - 100378820*u - 100378819 = 0 for u.\nAnswer: -100378819, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -24*g - 1. Calculate the remainder when q(-2) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*k + 110 - 6 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 3*v + 20 = 0, 4*z - 4 = v. Solve z*r - 4*d - 2 = 0, 4*d + 1 = -r - 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 28033 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 10 = k. Solve 0*a - k*a = r + 10, -5*a - 31 = 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 175 + 170 = 0, 0 = s + 2*y - 3911. What is the thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 + (-18 - (-13 - -12)) + (8 - -2).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 5:11 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-1820)\/(-630))\/(3\/25407)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 141533 and 141533 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the second derivative of -1271*x**7\/42 + 17*x**4 + 4*x - 74. What is the third derivative of r(l) wrt l?\nAnswer: -76260*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 234319 is divided by 283.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and -34.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-15)\/(-25))\/1*-5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14 + -10. Let k = 7 + -1. Find the second derivative of d*r - 3*r**2 + 6 - r - k wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 58006, 116015, 174024, 232033, 290042, 348051?\n\"Answer: 58009*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + b - 3 = 2, -4*b + 20 = -5*y. Suppose -3*c = 3*g - y*g + 3, -3*g - c + 1 = 0. Calculate the remainder when 14 is divided by (g\/2)\/(6\/60).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -91011, -182119, -273227, -364335, -455443, -546551?\nAnswer: -637659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**2 - 7*f + 8. Suppose -4*n = -20, -4 = -4*m + 5*n - 61. Let u be g(m). Suppose 2*q = -5*y + 3 + 20, -3*q + 3 = -3*y. Solve -y*b - b = u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.255 - 34.655. Let n = -34 - a. What is the closest to 20 in 0.5, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -11*j + 25. Let k be r(2). Let y(x) = -2*x**3 - 16 - 6*x**3 - 8*x**2 + 6*x**3 + k*x**3 + 10*x. Calculate y(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -338, -1286, -2860, -5060, -7886, -11338, -15416?\n\"Answer: -313*q**2 - 9*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -4, -29654, 5 in decreasing order.\nAnswer: 5, -3, -4, -29654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 7*r**4 - 15209*r**3 - 528961*r**2 - 1586647*r - 410502 = 0.\nAnswer: -31, -3, -2\/7, 2207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 21\/15*-2*5. Let b be (-30)\/(-7) - (-4)\/t. Suppose 3*s + 2*s - 45 = 5*f, -5*f - 36 = -b*s. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20266357313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 2\/5, -2, -1\/3 in ascending order.\nAnswer: -11, -2, -1\/3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that t**4 + 404*t**3 + 48724*t**2 + 1599840*t + 15681600 = 0.\nAnswer: -180, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -20*n**3 - 121*n**2 + 99*n + 492. What is j(-6)?\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 581 is divided by 185.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 4*i = 249. Does 19 divide (i + -1)*2\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8756897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -1 - (158 + -158) - 32?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -242?  (a) 0.1  (b) 1\/6  (c) -182619  (d) 3\/2  (e) 3  (f) -2\/17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 + 17 - 30 - 872*o**3 + 215*o**3.\nAnswer: -657*o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 20286\/637 - 2\/(-13). Solve -5*m - r = 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 - -5. Suppose -y*v = 9, 4*v - 5*v - 23 = -2*w. Calculate the smallest common multiple of 8 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes after 1:23 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 30202 + 3?\nAnswer: 30211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the first derivative of -54*z**7\/7 + 20*z**3 - 46. Find the third derivative of q(l) wrt l.\nAnswer: -6480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 6 - 3)*(0 - 4*w + w + 243).\nAnswer: 24*w - 1944","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -844 + 2603. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 134 - 149 = 0. Let a(p) = -p + 8. Let f be a(v). Solve 24 = -0*l + 2*l - 4*s, 0 = 4*l - f*s - 33 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v**2 + 3*v**2 - 2*v**2 + (0*v + 2*v - 4*v)*(23 - 23 - 6*v) + 5*v**2 - 4*v**2 + 2*v**2)*(18 - 18 - 5*v) + v**3 + 0 + 0.\nAnswer: -69*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*a - 30 + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 126*-14.71\nAnswer: -1853.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.016, -2\/7, 156, -1 in ascending order.\nAnswer: -1, -2\/7, -0.016, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q\/(((q**(-7\/2)\/q)\/q)\/q)))\/q*q\/(q**(2\/23)\/q)*(q**(-1))**(3\/17))**35 assuming q is positive.\nAnswer: q**(-157745\/782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2*291 + 7 + 2 + -8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3808797 (base 11) in base 14?\nAnswer: c42860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 169 - 167. What is the closest to s in 2, -0.18, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3572*g - 3572*g + 65 - 7*g**2)*(0*g - 2*g + 3*g) to the form n*g**3 + o*g**2 + u + i*g and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -161954*s + 106807.\nAnswer: -161954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 2*d**2 + 10. Let r(f) = 31137*f - 9. Calculate r(j(v)).\nAnswer: 62274*v**2 + 311361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -4*s - 3. Let n(d) = -2*d - 1. Let b(q) = 5*n(q) - 2*x(q). Let l(a) = -a + 1. Calculate -b(i) + 4*l(i).\nAnswer: -2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/18 + 112\/(-18). Suppose 0 = 4*j + 3*v - 8 + 2, 3*v = -6. What is the remainder when (s\/5)\/((-6)\/20) is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qfqqjcffqfjyffqfqc. Give prob of sequence yc.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 498*v**3 - 2 - 3*v**2 + 737*v**3 + v**2.\nAnswer: 1235*v**3 - 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 3*m + 72 = 0, 6*m = -5*y + 2*m + 120. Suppose -4 = 5*p - y. Suppose 4*c - 37 = c + p*u, u = 4*c - 58. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*v = -15*v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*a = -5*a - 9 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -109\/260988 and 95\/229918.\nAnswer: 9656556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 2*g**4\/7 + 464*g**3\/7 + 5148*g**2 + 135520*g + 130438 = 0.\nAnswer: -77, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -812 by 7.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**2 - c - 3*c + c)*(14*c - 38*c - 9*c).\nAnswer: 33*c**3 + 99*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4680615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 105 or 3605\/34?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 8 + -11 - (-1 + (-5474)\/2640) and -151\/1320?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14819002 to the nearest integer?\nAnswer: 3850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(180) - (sqrt(180)*2 + 0) - (0 + sqrt(180) + -2 - sqrt(180))**2.\nAnswer: -6*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -128273 divided by 102?\nAnswer: -128273\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 78821 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -1\/53?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**(2\/13)\/u*u**(-1\/3))\/(u**(2\/3))**(-1\/18))**(-36))**(-1\/15) assuming u is positive.\nAnswer: u**(-1604\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1\/7  (b) -3  (c) 0  (d) 0.1  (e) 2\/5079\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 631388?\nAnswer: 2, 29, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -14*o + 88. Let x(d) = 5*d - 29. Suppose 12*n + 15*n - 11 - 286 = 0. What is n*x(b) + 4*u(b)?\nAnswer: -b + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -0.6406731\nAnswer: -1.9220193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -7) + -23 + 8 - 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 49 divided by 13872\nAnswer: 49\/13872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 2121313 (base 4) to base 8\nAnswer: 23167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0\/(-2 + 1 + 0). Let z(q) = q - 9. Let i be z(3). Let l = 11 + i. Solve x + 24 = l*u + 4, d = x - u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the second derivative of -c**4\/12 - c**3\/3 - c**2 - 52*c. Let z(i) = -4*i**2 - 11*i - 11. What is -11*t(x) + 2*z(x)?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7259 - -5144. Let k = -2116.479 - i. Round k to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l = -3, 7 = -3*z + 2*z - 4*l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 PM and 1:42 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 492637\/8981 - -5\/1283. Which is greater: a or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.8 + 1.9. Let d = s + 0.26. What is d rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -7*l + 2*l + 0*l + 0*l. What is the tens digit of y(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 56\/145?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 15850915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.062761554571 + -1413.062774974571. Let x = a + 1413. What is x rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + t = -291797, 1533*t + 291821 = 5*g + 1535*t. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4.6 - -4.4. Let i = -83 - -79. What is the nearest to -0.6 in 4, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1832329 + 16467572\/9. Let n = 2602 + q. Find the common denominator of 49\/5 and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -9*o**2 + 12*o - 1. Let m(r) = r + 1. Let v(f) = m(f) + t(f). Let b = -14 - -8. Let q(h) = -5*h**2 + 7*h. Calculate b*v(a) + 11*q(a).\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from ccycccycccy.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(2 + (((sqrt(2448)*4)**2 - sqrt(2448)) + -2 - (-5*(sqrt(2448)*-1 + sqrt(2448))**2 + sqrt(2448)))*-5).\nAnswer: -587484 + 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*d + 11*d + 5*d - 4*d to l*d + y and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1476 and 0.1?\nAnswer: 147.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11 - -15. Solve -s*j + 4*r - 9 = 7, 5*j = r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 5 - 1 = 0. Let x = r - -2. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6056 divided by 5287\nAnswer: 6056\/5287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/4)\/((-4)\/12*(-12)\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20373 - 54758 = -k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 + 7*p**2 + 10*p - 4. Let w be x(8). Let q be ((-4)\/(-18))\/(w\/18). Factor q*g**2 + 1 + 4\/3*g.\nAnswer: (g + 1)*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddmd when four letters picked without replacement from mmmmmmddmdddddmddm.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -402055654 - 13?\nAnswer: -402055667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -38, 2\/3, -2304 in ascending order.\nAnswer: -2304, -38, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -38 + 19. Let r = -21 - m. Suppose -3*l = a - 9, -5*l + 4*a + 0*a + 15 = 0. What is the closest to 0 in r, 5, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -aa240 (base 14) to base 3\nAnswer: -202221020001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b - 2*p = 48, 4*b - 19*p + 18 = -21*p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -1 + sqrt(11) - sqrt(99)\/sqrt(81).\nAnswer: -4 + 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**3 - 4*i**2 - 3*i - 5. Determine h(-6).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5*(-26)\/(-10) + -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9 - -8.6. What is the nearest to -0.2 in f, 1, 1\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the second derivative of 2*n + 1\/6*n**3 + 0*n**2 + 0 + 1\/30*n**5 - 1\/24*n**4. Let r(x) be the second derivative of y(x). Determine r(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*l - 9*z - 3, 4*l - 310968 = -z - 310957 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 65\/((-14625)\/90) - 48\/(-112).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 3, 4, -12, 781 in decreasing order.\nAnswer: 781, 4, 3, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 2 n when three letters picked without replacement from qqnqnqoooeqn?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**3 - 10*q**2 + 9*q + 4. Suppose 6*l = 35 + 19. Let v be b(l). Let t be ((-1)\/v + 1)\/((-4)\/(-208)). What is the highest common divisor of t and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**3 - 6*n**2 + 7*n + 15. Let z be b(-7). Let c be 42\/z + 1\/5. What is the first derivative of -1 - 17*a**3 - 5*a**4 + 0 + 17*a**c wrt a?\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -337*r - 17910. Give g(-53).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 688 and -212974401?\nAnswer: 212975089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-5 + sqrt(432) + 1).\nAnswer: -24 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 174 and 116.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sxxysxxyyyyxsxy. Give prob of sequence xy.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 1545577*c. Let s(d) = 5*d**2. What is x(s(w))?\nAnswer: 7727885*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -2*q**2 + 12*q + 16. Let w be b(7). Suppose -w*t - 5*x + 1429 = 0, 673 = 5*t - 3*x - 2915. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, e: 3, y: 1, j: 6, q: 4, u: 4}. What is prob of sequence uvqv?\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-5)\/(-2) + (-20)\/40. Solve 4*k + 2*u - x = -0*u, -4*k - u + 3 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -115 - (22 + 1 + (-26 - (127 + -144)))?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1353, -2747, -4223, -5823, -7589, -9563?\nAnswer: -11787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 6*t**3 - t**2 + t + 2. Let j(z) = 154*z**3 - 10*z**2 + 10*z + 10. Determine j(m) - 10*r(m).\nAnswer: 94*m**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a factor of 4482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add 101114696 and -61040.\nAnswer: 101053656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 178*i + 4736706 = 14588116. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z\/(z*z**9)*z*z*z**(-2\/9)*z*z\/(z*z*z**(2\/3)*z)*z*z*(z**(-1\/8)*z)\/z assuming z is positive.\nAnswer: z**(-433\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**3 - 7*w**2 - 12*w + 18. Let z be v(1). Let c be (-33 + 6)\/(6\/(-4)). Solve -17 = 2*h - 3*t - 3, z = -4*h + t - c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = -3*w + 57 + 125, b + 66 = w. Which is greater: w or 1431\/22?\nAnswer: 1431\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -4*t - 0*t. Let j(g) = 0*g**t + 3*g**2 - 3 + 5*g + 3. Let o be j(-4). Calculate the highest common factor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 - 12*u**2 - 11*u - 12. Let p be c(13). Suppose p*b - 320 = 4860. List the prime factors of b.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5849793749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*z = -20*z - 8385. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/23710 and 11\/187309.\nAnswer: 1873090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 6910*y - 23200. What is f(3)?\nAnswer: -2470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 - 348*v**2 - 10 + 238*v**2.\nAnswer: -110*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.6896855 to three decimal places.\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 353760 and 704.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 178101 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 27, 21, 5, -27, -81, -163, -279?\n\"Answer: -a**3 + a**2 - 2*a + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10102212 (base 3) to base 12.\nAnswer: -154b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 - ((2 - 2) + -17). Suppose 51*f - 46 = -2*i + 53*f, 0 = i - 2*f - 27. Let p = n - i. Let s(g) = 6*g**2. What is s(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4*4\/(-8)*14. Let b = x + 75. Calculate the remainder when b is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(1\/4))**1*b**(1\/6)\/b**(1\/5))\/((b**(-1\/3))**1*b**3\/b**(-2\/21)) assuming b is positive.\nAnswer: b**(-1069\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -9708*w + 1038792. Determine x(107).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -116.\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes before 6:10 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2034592 and 4991.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 minutes after 3:08 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.153 and -1144.63216.\nAnswer: -1144.78516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 14 - (23 + (-1 - 10)) - (1 - -10)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1400742006?\nAnswer: 2, 3, 31, 257, 29303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**2\/h*h**(-6)*h**(-2)*h**2\/h*(h**6*h**4)\/(h**(2\/13)*h**1) assuming h is positive.\nAnswer: h**(37\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/11 in -38, -5, -0.023, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.068623 to 2 decimal places.\nAnswer: 5.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 2*p**2 + 10*p - 9. List the prime factors of r(10).\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3 and 7563471?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**2 - 2*a - 1. Let d(r) = -26*r**2 + 44*r + 22. Calculate -2*d(j) - 44*m(j).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-15)*z\/(z**(-16)\/z))\/((z\/z**9)\/(z**(-9)*z)) assuming z is positive.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3941506 millennia to decades.\nAnswer: 39.41506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000578372226 to 5 decimal places.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, p: 1, x: 6, z: 4, b: 3, o: 1}. Give prob of picking 1 z, 2 x, and 1 p.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14490?\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of g**3*p - 32*g**3 + 3*g**2*p + 5153*p wrt g.\nAnswer: 3*g**2*p - 96*g**2 + 6*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -220 = -35*y - 80 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/(-21))\/((-12)\/126).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.549 to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 AM and 7:32 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 178219 is divided by 272.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes after 9:48 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-6))\/((8\/30)\/4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the second derivative of 49*d**3\/3 + 341*d. Let z(v) = 7*v. Give j(z(l)).\nAnswer: 686*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -23533, -94128, -211787, -376510?\nAnswer: -588297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(10)\/(sqrt(1620) - sqrt(45)) + 1)*-3*2)**2*2.\nAnswer: 48*sqrt(2)\/5 + 1816\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 5 + 25 = 5*b, -22 = -b + 5*f. Put b, -2\/15, 0.1 in descending order.\nAnswer: b, 0.1, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 13, c: 5}. Give prob of sequence vcv.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (21\/42)\/((-21)\/(-6))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vbb when three letters picked without replacement from agbvyvbyyyvbty.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/22097 and -3\/3357581.\nAnswer: 63794039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.14, 2.01, -1\/2, -0.3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-48)*3*3.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117) + 1)*2 + (sqrt(117) + -1)**2 + sqrt(117) + 0.\nAnswer: 3*sqrt(13) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 3138605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s**3 - 4*s**3 + s**3)*(-3*s**2 - 5*s + 5*s) - s**5 - 3*s**4 + 3*s**4.\nAnswer: 8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1171b355 + 0?\nAnswer: -1171b355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 2, -2, 3, 13.7, 1\/7, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 271 is divided by 83.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, 0.18, -2\/5, 0.453, 5, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 + -1 + 122 - -2. Let z be (-1)\/(-3) + x\/(-12). What is the remainder when 205\/7 + z\/35 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (50*f - 10 + 31*f + 10)*(1 + 1 + 1).\nAnswer: 243*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**3 + 3386*z**2 + 1582560*z.\nAnswer: z*(z + 560)*(z + 2826)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -31 + -5a90674?\nAnswer: -5a906a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i - i + 2*i)*(-10 - 21 - 19 - 1 - 2) + 2*i - 3*i + 8*i.\nAnswer: -99*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -2931?\nAnswer: -2932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1\/300 + 2\/25. Let d = -7\/30 + -1\/6. Which is greater: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 2*t - 19 - 13 = 0, -17 = -g + 5*t. What is the highest common factor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/10  (b) 5  (c) 0.3  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (34\/6 + (-26)\/39)*-66. Let o = w - -556. What are the prime factors of o?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1496444?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -57*g - 12 + 183. What is the closest to -0.1 in 1, -3\/7, -37, g?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12030029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqa when three letters picked without replacement from raataqrqqtqtqrrqr.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 1 = w, 5*w = -c - 6 - 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -0.2, -4, 3\/7, -7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i + 12. Let a be t(0). Let f be (-38)\/(-8) + a\/(-16). Put -4, f, -2 in increasing order.\nAnswer: -4, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = 2*r + 14, 3*r + 7*u + 23 = 3*u. Let q be (-1)\/r - (-7)\/(-35). Suppose q = -4*g + 140 + 44. What is the remainder when g is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -346 + 351. Suppose -4*j - 8570 + 2273 = -3*w, -n*w + 10495 = 5*j. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 - -6. Suppose -t*d + 11 = -d. Suppose 26 = c - 2*u, -2*c = -u + d - 48. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 24851 - -4798?\nAnswer: 29649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xbb when three letters picked without replacement from {x: 4, b: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2563*m + 5102*m - 2500*m.\nAnswer: 39*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8200 and 677000.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f. Let r be 228\/14 - (-2)\/(-7). Suppose -11*n + r + 50 = 0. Let u(v) = -v. Let j(b) = 4*b. Let k(d) = n*j(d) + 28*u(d). Determine k(c(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:30 AM and 12:38 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 1131563*n - 9052504. Determine k(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -1, -5, -166, 0 in ascending order.\nAnswer: -166, -5, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + 9*w - 12 = 0. Suppose -w*p + 135 = p. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -160*h - 56 = -174*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -40 times 3871?\nAnswer: -154840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 94*c**3 + 17*c**2 - 45*c + 117. What is the tens digit of k(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/(-14))\/3*10*14\/(-120).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**(-10)*m\/(m**(3\/7)*m))\/(m**(-11)\/(m\/m**(-1\/5))))**(-3))**(4\/5) assuming m is positive.\nAnswer: m**(-744\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -63523 (base 7) to base 16.\nAnswer: -3d51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 + 2. Let l = 12 + w. Which is smaller: l or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*m**3*s**3 + 3*m**3*s**2 + 1029542*m**3 - 2832*m**2*s + 54*m*s**3 - 2*m*s wrt m?\nAnswer: -12*s**3 + 18*s**2 + 6177252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (36\/585)\/(1\/((-5)\/2)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 737 is divided by 330?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3792938*b**3 + 508569*b**2 + 12 wrt b.\nAnswer: -22757628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -r - 5, 3*r - 4*r + 19 = 5*k. Suppose -2*b = -22 + r. Let m = b - 14. Is m greater than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**8\/i**(-2\/5)*i**(2\/29)*i*i**(-11))**(1\/17) assuming i is positive.\nAnswer: i**(-222\/2465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*w - 828 = 13*w. Suppose 15*n + w = 17*n. Let o = n - 42. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -14 + 10. Let z be -3*n\/54*9. Solve z*f = -0*f + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 5*t - x - 6 = 0, -5*x = 3*t + 6. Suppose -2*n - 4*d = 0, 4*d + 20 = -t*n + 6*n. Suppose 135 = -0*z + z - 5*u, 0 = n*z - u - 616. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -80 - 17. Let b = v - -45. Let t = b + 51.6. What is the nearest to -3 in 2\/5, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 774399, 1548798, 2323197, 3097596, 3871995, 4646394?\nAnswer: 5420793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 518*v + 12489 = -25*v for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93251.\nAnswer: 93251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 228*p**2 + 166*p**2 - 79*p**2 + (23*p + 28*p - 7*p)*(2*p + 3 - 3) to the form y*p**2 + h + i*p and give y.\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2236 and 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4 and 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2 or 70\/341?\nAnswer: 70\/341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 203755538 and 1162.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 757*b**2 + 52*b + 20. Is c(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3\/(-6)*2*-2. Suppose -7*b + j*b = 0. Let q(h) = 2*h - 5*h + b*h - 6. Calculate q(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - x = -g + 8, -3*g - x + 12 = 0. Let t = 268 + -63. Let p = t - 208. Put g, -4, 1\/5, p in decreasing order.\nAnswer: g, 1\/5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*v**2 + v - 11*v**2 - 121 - 19*v**2 - 3*v + 27*v**2 to the form c*v**2 + m + r*v and give m.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -791\/8 + 99. Calculate the common denominator of 85\/18 and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1039193 and 0.4.\nAnswer: 415677.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 38 - 569\/15. Let q(k) = -108*k - 3454. Let d be q(-32). Which is the closest to l?  (a) d  (b) -3\/4  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 24417*m. Let y(u) = -27*u + 4. Calculate y(r(x)).\nAnswer: -659259*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*b - 77472 + 77742 = 0 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1221116248?\nAnswer: 2, 11, 631, 21991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7029 and 671?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**0*y*y**(-16))**(-17))**0 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 32 = -6*n. Let r(j) = 6*j**3 - 8*j**2 + 14. Let w(s) = -4*s**3 + 5*s**2 - 9. Give n*w(p) - 5*r(p).\nAnswer: 2*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 - 2*w**2 - 1. Let o be 6\/((-10)\/(80\/(-12))). Let b be (1*o)\/1 + (18 - 26). What is d(b)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 + -6. Let w be (g - 4\/4) + -9. What is the common denominator of 1\/w*(-174)\/4 and 35\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-77)*(-2717)\/(-2470).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the second derivative of 1\/20*j**5 - j**3 + 1\/2*j**2 + 1\/3*j**4 + 3*j + 0. Let x be q(-5). Solve -25 = o - x*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 12*(-4)\/(-3)*475. Suppose -2*b = -3*b + l. What is b rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eehxexhxhvhevehehvh. What is prob of picking 2 x?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -4*x + 867 - 793, j = -4*x + 95. Let a(p) = -5*p + 89. Calculate a(x).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 118*y - 123*y = -15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 67897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 140*u + 1. What is y(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/(1*(-5)\/(-4) - 1). Suppose v + v = -5*y + 30, 5*y = t*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 1\/16, -0.4 in ascending order.\nAnswer: -0.4, -0.2, 1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k**3\/3 - 452*k**2 - k\/3 + 452 = 0. Calculate k.\nAnswer: -1, 1, 1356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000034927174 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**3 + 19*n**2 - 30*n - 65. Let y be g(17). Solve -y*w + 13 - 1 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 35*s - 24*s. Suppose 9*q + 1603 - 5455 = s. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -251, -505, -761, -1019, -1279?\nAnswer: -1541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (38350\/39)\/((-4)\/(-90)) - -5.\nAnswer: 2, 5, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 1661.158 and 0.4346.\nAnswer: 1661.5926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (12*s + 7 - 7 + (-2 + 2 + 2*s)*(-4 - 3 + 5) + 7 - 7 - 3*s)*((s + 0*s + s)*(2 + 3 - 3) - 2*s + 4*s - 3*s) as x + a*s + z*s**2 and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o - 5. Calculate k(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dbbg when four letters picked without replacement from dgbgddrgrbdrgbb?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9 - -13. Suppose 4 = m*q - 3*n, -5*n + 0 = -q + 1. Let g = -4.244 - -6.244. What is the nearest to 0.1 in q, g, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 193\/6 + -32. Let a = -2 - 6. Let b be (a\/3)\/((-10)\/15). Sort -3, b, g in decreasing order.\nAnswer: b, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 to the power of 1\/8, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 - -15. Let c = -26 + f. Solve -2*r + 5*r = c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 117 and 91.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 241024 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 18454 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12 - 9. Suppose 0 = c*w - 65 - 7. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -37 + 57. Solve 4*h = -0*h - t for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1857894153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 52\/95 + 1\/19. Let r be 12\/2*(-1)\/2. What is the closest to -0.13 in -0.3, c, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8989\/120 + 1118\/15. Which is the nearest to -1?  (a) 0.25  (b) 10  (c) 4\/3  (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.3 and 9322.\nAnswer: 9321.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 + 2)\/(-1) - -3. Suppose -4*x + y*f = -22, 15 = 4*x + f + 4*f. Is x at least as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1805 and 1368?\nAnswer: 129960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33715, -67433, -101151, -134869?\nAnswer: -168587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 + 1b?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 53989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 64 = -704. Is v a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 894 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 48\/(-26) + 2 - 356\/(-52). Solve -1 = 4*h + t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -15236404*v - 2978350 with respect to v.\nAnswer: -15236404","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1070482 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4896 + 175*d - 9794 + 4898 + (2 + 0 + 0)*(6*d - 2*d - 3*d).\nAnswer: 177*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 25\/11 in -1\/3, -2\/5, 1\/4, 2, -0.016?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*h**3\/5 - 39234*h**2\/5 + 17350908*h\/5 - 990840 = 0. What is h?\nAnswer: 2\/7, 718, 1150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 878.677km?\nAnswer: 878677000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 8727 + 374?\nAnswer: 9101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 + 8*l**2 + 15*l + 8. What is k(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(153)*6)**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -2*g + 3*q, -q + 5 + 4 = 4*g. Let m(l) = -l**3 + 4*l**2 + 7*l - 11. Let r be m(5). List the prime factors of (-5 - -4)*(80*r + g).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 5 + 0 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2\/45 of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 337960.\nAnswer: 2, 5, 7, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 131 = -2*o, 0*p + 3*o = -2*p + 96. List the prime factors of (p\/(-25) + 1)*-310.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 162 is divided by 34?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11389033 and 371803.\nAnswer: 2281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the first derivative of l + l**2 - 4\/3*l**3 + 1. What is f(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1710256237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5616582?\nAnswer: 2, 3, 936097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62 + 127 = -39*p - 247 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*y**4 - 10*y**4 - 27*y - 11*y**4 wrt y?\nAnswer: -324*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*r + r - 2*r)*(-2*r**2 + 2*r**2 + 2*r**3) + (-1 + 4 - 2)*(4*r**3 - 4*r**3 + 3*r**4).\nAnswer: 7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c**3 + 295*c**2 - 4*c - 1167. What is g(-295)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(171) + (sqrt(171)*-3 + 5)**2 - ((sqrt(171) + -2)**2*5 + sqrt(171))).\nAnswer: -4134 + 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 2*u + 3 = -9, 3*d + 14 = 4*u. Suppose 2*v - 13 - 32 = -3*c, -2*v = d*c - 50. 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: Collect the terms in -103162*q**3 - 102696*q**3 - 2*q + 207066*q**3 + 2*q.\nAnswer: 1208*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 435 (base 11) in base 14?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {n: 2, s: 2, d: 4, p: 11}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -23310 + -115?\nAnswer: -23425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -379 - -447. What is the remainder when t is divided by 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z + 5*r - 55, 0 = -z + 2*r + 97 - 107. Solve -5*m + j - 2 = -4*m, -2*m - z = -5*j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-15)\/(-5) + -2 - 0. Suppose -z + 33 = 2*l. Suppose 4*j + s - 27 = l, 2*j = -5*s - 1. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8729?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3273004?\nAnswer: 2, 7, 16699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in 36, -1\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(-3) + (-4)\/(-12). Let m = -10648 + 10673. Solve -m = -u*p + 5*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1003011 + -134423?\nAnswer: -1142434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -89792, -179600, -269416, -359240?\nAnswer: -449072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1a31 - 392?\nAnswer: -2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.357 - -113.643. Let j = o - 111. Which is the second biggest value?  (a) j  (b) 1\/5  (c) 15.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes before 5:16 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 11?  (a) -2\/3  (b) -19  (c) 3\/7  (d) -0.613\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -7148262 divided by -3047\nAnswer: 2346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/340 and -97\/13789720?\nAnswer: 13789720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 3*y = -519, 3*y + 153 = z - 0*y. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.14318237 and -1.\nAnswer: 0.14318237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -98 + 121. Suppose -4 - c = -9*v. Suppose -w - 3 = -0*w, o + v*w = -61509. What is o rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 798*d = 1607*d + 12135 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*r - 5*r - 27. Solve -r*j - 5*f - 2 = -1, -2*f = -5*j + 19 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 17*l + 799 - 714 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - -2. Let r = 0 + -1. Let m = 328 - 333. What is the nearest to d in r, -2, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*u**4 - 3490152*u**3 - 761326051584*u**2 - 1522638142592*u.\nAnswer: -4*u*(u + 2)*(u + 436268)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -a007f + -a?\nAnswer: -a0089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c = -17*c + 1452. What is the remainder when c is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 1 - 3)*(2852*q**2 - 1224*q**2 - 695*q**2)*(-5*q + 0*q + 4*q).\nAnswer: -933*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -3*o**2 - 27*o + 4. Let v be l(-9). Which is the nearest to -1.4?  (a) 5  (b) v  (c) -3  (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 14327 in 0.391, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0045196872 to 4 decimal places.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(13\/6)\/u)\/u*(u\/u**(9\/4))\/u)\/((u\/(u**(-29)*u))\/(u*u**24)) assuming u is positive.\nAnswer: u**(-73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -67552934\nAnswer: 1\/67552934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 + 5*n**2 + 2*n - 5. Let b be r(-4). Let v be 11*-41 + b\/18. Let m = v + 1286\/3. Calculate the common denominator of m and 71\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-6*-1*sqrt(1700) - sqrt(1700)) + sqrt(1700) + 1 - (sqrt(1700) + 0 - sqrt(1700))*-2*4)*-4 + -2)**2.\nAnswer: 2880*sqrt(17) + 979236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 716980 by -35849.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -188 + 191. Suppose s = 12*v - 21. Solve -v = -l + 3*q + 6, -4*l - q = -6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the third derivative of 0*n + 1\/1680*n**7 - 1\/2688*n**8 - 1\/24*n**4 - 1\/480*n**5 + 1\/192*n**6 - 41*n**2 - 1\/12*n**3 + 0. Factor t(r).\nAnswer: -(r - 2)**2*(r + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1715 - 1087. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 2, t: 1, l: 11}. Give prob of picking 1 x and 3 l.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 3, 1\/2, -15, -2\/3 in descending order.\nAnswer: 7, 3, 1\/2, -2\/3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 3*w = 2*w + 22, 0 = 5*w + 10. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12757563 and 268065.\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16 - (11 - (-36 - -47)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1307 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nznnztntn. What is prob of picking 2 n and 1 z?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 23809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21, 76, 145, 174, 151?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -200102211 (base 3) to base 9.\nAnswer: -20384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-2))**2*(((((o*o**(2\/5)\/o)\/o*o)\/o*o*o)\/o)\/o)**10 assuming o is positive.\nAnswer: o**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 276 is divided by 146?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the first derivative of -109*j**4\/2 - j**3 - j**2 + 23. What are the prime factors of n(-1)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 44572 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0.2253 times 0.02938\nAnswer: 0.006619314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -63 - -108. Let v = 45 - t. Let f(j) = j**2 - 14. Determine f(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) -4  (c) 0.5  (d) -3.177\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13888*k + 27766*k - 13879*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 2, p: 9, a: 5, h: 2}. What is prob of sequence paoh?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 28 = 5*l. Let b(k) be the second derivative of k**5\/20 + k**4\/3 + k**3\/3 + 3*k**2\/2 + 27*k. Calculate b(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 238.3 - -32.7. Let o = -271.000708 + b. Round o to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11 + -7. Let j = 5.65 - 6. Let u = j - -0.05. What is the biggest value in 5, y, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f + 9. Let w be d(8). Let i(y) = -y**2 - 24*y - 59. Let t be i(-21). Which is the nearest to 3?  (a) w  (b) t  (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 192 a factor of 56222592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 185 = -50. Let b = w + 358. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r - 120 = 3*r. Suppose -16*b + 10*b = -r. Factor -2\/5*y**5 + 2\/5*y - 4\/5*y**b + 4\/5*y**2 + 0 + 0*y**3.\nAnswer: -2*y*(y - 1)*(y + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -3*j**5 - 285*j**4 - 837*j**3 - 831*j**2 - 276*j = 0?\nAnswer: -92, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2034 - -2039. Solve -l*i - 5*m = 40, 0 = -2*i + 5*m + 19 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1312099 less than 823?\nAnswer: 1312922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**2 + 3*y + 1. Let o be a(4). Let p be -1 + 14\/6 + -2. Which is smaller: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -4*a**2 - 6*a. Let k(v) = -3*v**2 - 7*v. Let m(l) = 6*k(l) - 7*u(l). Let q(x) = -3*x**2. Determine m(q(j)).\nAnswer: 90*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2161\/1185 - -852\/395. Let w = -7.4 - -9. Let j = w - 2. What is the second biggest value in f, 3, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -2*c + 2 + 12, -3*h + 18 = 3*c. Let -4*t**h + 29*t - 49*t + 24*t = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2 - -7 - (17 - 14) - -8. Suppose 4*y = 2*c - 410, n*c = 7*c - y + 615. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-45)\/1935*(-13889)\/(-969)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 3 + 1 + 2*u**3 + 11*u**3 - 6*u - 5*u**3 to the form l*u**3 + f*u + i + k*u**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000109635901 rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 3 - 5. Suppose p + 42 = 5*p - 2*m, p - 9 = v*m. Which is greater: p or 10?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(52) + (sqrt(52) - -4*sqrt(468)) + sqrt(52))\/(sqrt(4) - (sqrt(4) - (sqrt(4)*1*1 + sqrt(4)))) + ((sqrt(1573) + (-4 + sqrt(1573))*-4)*1)**2.\nAnswer: -2097*sqrt(13)\/2 + 14413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -48*c**2 + 47*c**2 + 0*c**3 + c**3.\nAnswer: c**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12690 and 125976168.\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -9) + -12 - (14 + -11)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-898)\/1347)\/((-2)\/39).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or 33506\/337?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 74.1 + -73.9. Let w = -5.4 + 5. What is the third biggest value in 3\/2, n, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, e: 1, o: 2, t: 7, f: 3, g: 3}. Give prob of picking 1 t, 1 g, and 1 o.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13339124 and 6128.\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-9)\/(-27) + (-272)\/6. Let j = -43 - z. Let x(k) = 114*k - 9. What is the hundreds digit of x(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -910 less than -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 8\/11, -0.4, 2, 2\/7, 2.5?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4\/137 + 117\/685. Factor -1\/5*m**3 + i*m - 2\/5 + 3\/5*m**2 - 1\/5*m**4.\nAnswer: -(m - 1)**2*(m + 1)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u**2 + 35*u + 42*u - 65*u)*(u + 3*u + u)*(11 - 2 + 0).\nAnswer: 135*u**3 + 540*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve p = -57*h - 18 + 3, -5*h + 48 = -4*p - 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -934116 or -934114?\nAnswer: -934114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and -1.523?\nAnswer: 0.4569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.86901 rounded to 1 dp?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*u - 2418 = 13*u. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the second derivative of -1283*m**4\/6 - 277*m**3\/6 - m**2\/2 + 1761*m. Find the second derivative of b(r) wrt r.\nAnswer: -5132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -68618 (base 9) to base 2\nAnswer: -1011001010000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 158699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 63 - 2*x - 63. Let j(a) = 3*a + 6*a + a. What is j(i(k))?\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 18 = -2*h, -4*h = -6*m + 2*m - 4. Let n be ((-4)\/6)\/(m\/78). What is the highest common divisor of n and 130?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 4*r - 36, 12 = 3*r + 3*u - 0*u. Let o be (0 - r)*(-4)\/8. Suppose -o*q + 24 = 2*f, 5*f + 2*q = -19 + 95. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (7 + -1 - 3) + -5. Let u be (0 - y)\/4 - (-60)\/72. Let -2\/3*k**2 + 2 + u*k = 0. What is k?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-33)\/(-55) + (-106)\/10. Let k = -5 - x. Suppose 0 = -k*w - 4*b + 357, -4*w + 298 = -0*w - 3*b. Does 23 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 13, w: 1, e: 3}. Give prob of picking 2 m.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -166224 or -165569?\nAnswer: -165569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kzq when three letters picked without replacement from {x: 4, h: 2, z: 4, q: 1, k: 3}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2 + 116613*g + 1166226. Calculate u(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1257 + -1129.2. Let g = s + -128. What is the third smallest value in 3, g, -2\/13, -21?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 27232 and 122912.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes after 10:56 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 18264261.29 rounded to the nearest ten thousand?\nAnswer: 18260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85 = -5*q - 2*a, 139*q - 4*a - 55 = 134*q for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 6*f - f. Let n = -3 - f. Suppose i - 5*p = 20, 4*i - 47 = -n*p + 11. Calculate the highest common factor of 45 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times -326?\nAnswer: -978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 204*y - 227*y + 69 = 0. Let p be (-134)\/(-4) - 1\/(-2). What is the common denominator of p*(-3 + y + -1) and 45?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the third derivative of -i**6\/120 - i**5\/12 - i**4\/12 - 4*i**3\/3 - 129*i**2. Let s be h(-5). Solve 2*y = -2*z, -z - 5*y - 6 = -s*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -272600000 to the nearest 1000000.\nAnswer: -273000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -33\/14 and -35\/57536?\nAnswer: 402752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-8)\/(-12) - 1)*-6. What is the second derivative of 38*g**2 - 16*g**2 - 38*g**m - 8*g wrt g?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2c0 (base 14) to base 3\nAnswer: -202202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 divided by -920052.\nAnswer: 1\/76671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3.91 + -4.12. Sort 5, -0.2, j in decreasing order.\nAnswer: 5, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((2\/1)\/(-1))\/((-1)\/(-1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76702.\nAnswer: 2, 38351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*r**4\/3 + 268*r**3 - 812*r**2 + 2444*r\/3 - 272.\nAnswer: 4*(r - 1)**3*(r + 204)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 0)*(-a - 5*a - 2*a).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 less than 4.60739?\nAnswer: 14.60739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*m**3 + 2804*m**2 - 2808*m.\nAnswer: 4*m*(m - 1)*(m + 702)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 1, 2, -1\/3, 0.1648, 0.3 in decreasing order.\nAnswer: 2, 1, 0.3, 0.1648, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that -n**4 + 277*n**3 + 34712*n**2 - 7233840*n - 701146368 = 0.\nAnswer: -108, 221, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 27 = 13. Calculate the least common multiple of q and 38.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*n**5 + 315*n**4 - 1180*n**3 + 1525*n**2 - 420*n - 220 = 0. Calculate n.\nAnswer: -1\/4, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1335.118 + -1337. Let j = v + -0.118. Do -20 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 144, 288, 430, 570, 708, 844, 978?\nAnswer: 1110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + -5 + sqrt(405) + -1*sqrt(405)*-6 + (-1 + sqrt(405) + 0 + sqrt(405) - sqrt(405)) + 4)**2.\nAnswer: -1008*sqrt(5) + 25969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 233815 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.3882 - 0.40903. Which is bigger: r or -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t = 2*v + 16, 18606*t - 18624*t = 3*v - 72 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15751 - -19345. What are the prime factors of g?\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97438 is divided by 118.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 271 a factor of 7317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 13*p**2 - 14*p + 49. Let n(b) = -11*b**2 + 12*b - 42. Let r(m) = 7*n(m) + 6*y(m). Let d(q) = -373*q**2. Determine d(r(z)).\nAnswer: -373*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:54 PM and 1:22 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9.784 - -0.746. Let n = r + -1.53. What is the nearest to -1\/4 in -4, n, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -57416.8 - -57418. Let j = -0.1 - 0.1. Which is the nearest to 1?  (a) z  (b) 1  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -173 + 1209\/7. What is the nearest to w in 3\/2, -5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-198)\/(-8) - 78\/26)*-2*2\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 2*o**2 + 5*o - 58. Give j(-4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 370.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -14419, -14355, -14243, -14089, -13899, -13679, -13435?\n\"Answer: -u**3 + 30*u**2 - 19*u - 14429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.01243 + -0.012427537. Round y to 7 decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(1008) + -2*sqrt(1008))*-2)**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-147)\/54 + (-4)\/(-18) - -2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1\/25 - 16\/25. Sort -0.4, -2\/7, n, -1\/5 in descending order.\nAnswer: -1\/5, -2\/7, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1111111 (base 3) in base 15?\nAnswer: 4cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*q - 30*q - 15 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8495, -8399, -8339, -8399, -8663, -9215, -10139, -11519?\nAnswer: -13439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 36 + -30. Suppose -w + 1 = 5*n. Which is smaller: 9 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 2)*(-2*j + 0*j + j) + 2*j - 2*j + 4*j + 14*j - 7*j + 7*j + (-2 + 0 + 1)*(j + 4*j - 4*j).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 93301217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 82672.0310558 and -0.3?\nAnswer: 82672.3310558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the first derivative of k**3\/3 + 13*k**2\/2 + 23*k - 1. Suppose 4182 + 4738 = -893*v + v. Calculate x(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1440 = 20*q - 10*q. Suppose 22*c = 30*c - q. Solve 0 = -0*j - 3*j + 5*n - 16, 3*n - c = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t + 54. What is the remainder when p(-28) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 34 = k, 2*g + 15 + 0 = -k. Let c be (-14)\/(-42)*(-9)\/1 + 7. Let a(i) = 0*i**2 - 2 + 2*i - 5*i - i**2 - c*i. Give a(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -128, -344, -648, -1040, -1520, -2088?\n\"Answer: -44*o**2 - 84*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -21818*(7 - 3 - 33\/6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45215405 is divided by 166233.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5*f**2*j**2 + 33*f**2*j*s + 2*f**2 - 3678*f*j**2*s - 1366*j - 1 wrt s?\nAnswer: 33*f**2*j - 3678*f*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*v - 6 = -a + 13*v, 4*v = -24. What is the common denominator of a and 61\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 - 98841936800?\nAnswer: -98841936800.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 8391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 - 100922324\nAnswer: -100922323.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 113 = 3*d, 2*o - 5*d + 150 = -3*o. Let f = o - -210. Let g = f + -32. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 5 + 4)*(4*f**5 + 5*f**5 - 2*f**5).\nAnswer: -14*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3478 and 137346972.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-31)\/3 - (-4)\/(-6)) + (15504 - 15435)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0.2, -3826 in descending order.\nAnswer: 0.2, -1, -3826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8*((525\/(-14))\/15)\/((-55)\/44).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:54 PM and 9:44 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 2*q + 96. Let j be k(-9). Let p = j - 74. Let u(s) = -5*s**2 - 11*s + 6. Let b(f) = 2*f**2 + 4*f - 2. Calculate p*u(t) + 11*b(t).\nAnswer: 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1030 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -126, -10, 24 in decreasing order.\nAnswer: 24, -10, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 5*m - 4 = -23, -m + 9 = 2*y. Solve 3 = y*d - 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -124*a - 5*s + 16 + 0 = -125*a, 0 = 3*a + s - 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -68 + 65 - (-2 + (-3 - 0))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -5, -3, -0.1, 0.3, -1992, -1.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 r when three letters picked without replacement from {r: 1, j: 2, m: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -130*r**3 - 39*r + 42*r**3 + 50*r**3 + 44*r**3 wrt r?\nAnswer: 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from {n: 3, c: 1, s: 2, x: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 786*s**2 - 380*s**2 - 5 - 403*s**2. Let c(a) = -41*a. What is w(c(o))?\nAnswer: 5043*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*(sqrt(152) + (sqrt(152) + (sqrt(152) - sqrt(152)*1 - sqrt(152)) + sqrt(152) + sqrt(152) - sqrt(152))))\/(sqrt(392)*-1) + -5)**2.\nAnswer: -60*sqrt(19)\/7 + 1909\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**3 + 10*b**2 - 7*b - 21. Give a(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*c**2 + 11*c - 2 = 0. Calculate c.\nAnswer: 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 54259155 and 24225?\nAnswer: 4845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5371 = -9*m + 4889. Suppose m = -40*h + 55*h. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1094211 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - h = -8, -2024*h - 28 = 2*a - 2025*h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -865, -1738, -2621, -3520, -4441, -5390, -6373?\n\"Answer: -i**3 + i**2 - 869*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*a**3*w**4 + 8695*a**3*w**2 + 3304*a**3 + 31*a with respect to w.\nAnswer: -12*a**3*w**3 + 17390*a**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2207, -1281, 1267, 6247, 14469, 26743, 43879, 66687?\n\"Answer: 135*v**3 + v**2 - 22*v - 2321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2203 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(162)*-2 + 2 + (sqrt(162) + (sqrt(162) - (sqrt(162) + -1)))*6 + -5)**2)*2*-6*6.\nAnswer: -187416 - 15552*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*u**2 + 2*u**2 - 5*u**2)*(-285 + 285 + 81*u)*(-2 - 3 + 4) in the form t + a*u**2 + x*u + y*u**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1056*w - 997*w = -354. Are -145\/22 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -23\/77 - -8\/11. Let s = 8 + -11. Which is the nearest to s?  (a) -1\/10  (b) l  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 321 + -1001?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.13  (b) -0.2  (c) 1\/5  (d) 9\/16  (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6\/(-12))\/((-1)\/8). Suppose b*v - 6*v = -40. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = 8, -2*o = 4*z + 3*o - 58. Is 41*z - (4 - 8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**2 + 5*t - 3. Let y be u(3). What is the common denominator of -105\/22 and 47\/y*6\/(-40)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11.2, 0, -4 in decreasing order.\nAnswer: 11.2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*d**4 - 12*d**4 - 130*d**3 - 1821*d - 26 - 2*d**4 - 929*d - 1849 - 1000*d**2 = 0 for d.\nAnswer: -15, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 66852*g*s**3 + g*s**2 + 12*g*s - 149*g - 2*s**3 - s + 3 wrt s.\nAnswer: 401112*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4\/(-35)*7)\/(2\/28). Let s = -11 - j. Suppose 0 + 1\/5*q**4 + 0*q - 1\/5*q**2 + 1\/5*q**3 - s*q**5 = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 2*s**2 + 4*s. Let a be v(-2). Solve 0 = -2*y - a + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -k + 6*k. Suppose -3*u + 166 = k*b, 0*u = 5*u + b - 265. Is u a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from xkxkppkxkpkxpx.\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16043 - 8058. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -62, -5, 5, -48, -1, 19 in descending order.\nAnswer: 19, 5, -1, -5, -48, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-30)\/8*(-16)\/12. Suppose h = -5*q + 65, 5*h - 45 = -0*q - k*q. Calculate the greatest common factor of q and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-2*(sqrt(1100) - (-1*sqrt(1100) + -4) - sqrt(1100)) - ((-1 + sqrt(1100) + sqrt(1100))*2 + -3)))**2 + -1.\nAnswer: 9000*sqrt(11) + 990224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + 20. Let h = 30 - g. Suppose -4*t + 3 = h. Is t < -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.4, -4, 1, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 2*z = -2680, -4*h + 7*h + 5*z = -1627. Is h\/(-3)*(-3)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13696307.\nAnswer: 101, 135607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13.996 - -14. Let s = 0.0040041 - t. What is s rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -84*s - 53 = -4*o - 89*s, 2*o - 4*s = 20. Solve 5*c - 2*w - 24 = 0, 13*w = 3*c + 11*w - o for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 + -4. Let v = 6 - k. Let x = -5.026 + v. What is x rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 27*b + 10. Let k(s) = -s - 1. Calculate 22*k(z) + 2*o(z).\nAnswer: 32*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 47028 - 47416. Which is the closest to 0.1?  (a) -2  (b) 0  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 30844, 34423, 38002?\nAnswer: 41581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4420?  (a) -3\/7  (b) -2496  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 - 2)*(152 + 15*d - 152).\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23055 is divided by 183?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**2 - 7*m - 1. Let n be z(-3). Let i(x) = 3037*x**2 + x - 10 - 8*x - 3036*x**2. List the prime factors of i(n).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 4523?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*a**2 - 3*a**4 - 1162*a**3 - 45 + 3*a**2 + 1162*a**3 + 2*a**4 in the form o*a**2 + p*a**4 + f + g*a + w*a**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 31 + -21. Let s(f) = 3*f**2 + 4*f + 2. Let b be s(-1). Let w = b + z. What is the remainder when w is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -606 + 618. Solve -l + 24 = 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bf when two letters picked without replacement from {f: 1, b: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = g - 3*g, -5*x + 28 = 3*g. Calculate the remainder when x is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 39612444?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -2991795*t - 17950760. What is g(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**3 + 2*h**2 + 3*h + 7. Let y be a(3). Let b = 8 - 3. Suppose -2 + y = b*d. Is d >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes before 6:13 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 127 = h + t, 3*h - 5*t = 93. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 30550 to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -279537790 divided by 19966985?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20.53001 millennia to centuries.\nAnswer: 205.3001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + w = -3, 2*w - 17 = 3*r - 24 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 39 - 20. Suppose -94 = -s + 58. Calculate the highest common factor of s and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 364342326 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11883?\nAnswer: 3, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -201 = -4*o - 153. Differentiate -26 - o - 137*k**2 + 139*k**2 - 82*k + 200 with respect to k.\nAnswer: 4*k - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 116*q + 11379 - 14279 = 0 for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 + 1 + (70 - (9 - -52))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2596 = -41*q - 19*q + q. Solve 0 = t + q*t - 45 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 4*s**3 + 217*s**2 + 9*s - 5. Let h(c) = -3*c**3 - 109*c**2 - 5*c + 3. Calculate 3*f(o) + 5*h(o).\nAnswer: -3*o**3 + 106*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -47*j**4 - 372*j**3 - 410391 with respect to j.\nAnswer: -188*j**3 - 1116*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**3 + 7*f**2 + 7*f + 10. Let h be g(8). Suppose 3*d + 4*c - 19 = 0, 0 = h*d + 3*d - 3*c + 7. Is 23 a factor of 9 + -8 + 68\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n\/(n**(-15)\/n))\/n)**(1\/2))**(-29) assuming n is positive.\nAnswer: n**(-493\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j - 0*j - 568. Let b = 208 + j. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 102688110.\nAnswer: 2, 3, 5, 7, 162997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -64265, -64225, -64175, -64115?\n\"Answer: 5*m**2 + 25*m - 64295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -23*x - 46. Give l(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -164642 (base 12) to base 2\nAnswer: -1011101000010010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the first derivative of p**3\/6 - 113*p**2\/4 - 57*p - 2348. Factor m(u).\nAnswer: (u - 114)*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 28, 72, 130, 208, 312, 448, 622?\n\"Answer: i**3 + i**2 + 34*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*a - 481 + 195. Calculate the lowest common multiple of a and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 3*n**2 - 7*n - 4. Let z(g) = 6*g**2 - 15*g - 10. Let u(h) = 7*r(h) - 3*z(h). Let y(m) = m**2 - m. Determine u(v) - 2*y(v).\nAnswer: v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 37 - 31 = 0. Let j = -34 + b. Suppose 0*s**2 - s**3 - 5\/2*s**4 + 0*s + j - 3\/2*s**5 = 0. What is s?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-11)\/7931*((-70)\/20*-2)\/(-1)\nAnswer: 1\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the second derivative of 25*x**3\/3 + 264*x**2 + 94*x. What is the tens digit of w(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -3*v**3 + v**2 - 1. Let s be -6*3\/((-6)\/1). Suppose -2*y + s = -5*y. Let d be a(y). Solve -i = -d*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ipi when three letters picked without replacement from piiiiiiiiipppipiipp.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 116*a - 105*a = -22. What is the closest to -0.2 in 1.9, 3, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 309, 167, -26, 5 in descending order.\nAnswer: 309, 167, 5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -44870 to the nearest one thousand.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -21*v + v**3 - 23*v + 12 + 43*v - 10*v**2. Let m be q(10). Suppose -4*y + 25 = 5. Solve -3*s = m*k - 19, 4 = -3*k - 3*s + y*s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 191355 - 112?\nAnswer: 191243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -149106 * -54\nAnswer: 8051724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*u + z - 25, -4*u - 3*z = 23 - 43 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 318 (base 12) to base 15\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 619111*m - 665 = 619092*m. Suppose 2*d - 108 = -0*d + 3*s, 3*d + 3*s = 192. Calculate the smallest common multiple of m and d.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 6*l**2 - 2*l + 7. Let w be y(7). Suppose -3*m = 2*m + 3*g - w, -4*m - 3*g = -232. What is the greatest common factor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -11  (b) 0.09  (c) 75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q + 11. Let z be b(-8). Suppose 12 = -z*r + 5*r. Suppose 3*x = 3*l + l + r, -3*x = l - 6. Solve y - 3*p = 4, -4*y + l*y - 26 = 2*p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-8)\/10)\/2)\/(((-3417)\/1020)\/(-67)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 2*q = 0. Suppose -r + 4 - 2 = q. Solve -r*a = 4*x - 18, -15 = -4*a - a + 5*x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 4*(3 + sqrt(18)))**2.\nAnswer: 264*sqrt(2) + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3d74 (base 15) in base 9?\nAnswer: -20041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 46996*i*o**2 - 2*o**2 + 197*o + 23 wrt i?\nAnswer: 46996*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*c + 34*c + 6 = 3*a, 0 = 2*c - 4*a + 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**2 + 12*j + 49. What is the remainder when 139 is divided by w(13)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8, -39, -120, -275, -528?\nAnswer: -903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -24*d + 19. Let b(l) = -17*l**2. Give y(b(r)).\nAnswer: 408*r**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -339 - -867. Let k = n + 492. What is the greatest common factor of k and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 319926, 319792, 319658, 319524?\n\"Answer: -134*t + 320060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/(-10) + (-4)\/10. Let g(z) be the first derivative of r*z + 2 - 5\/3*z**3 + 0*z**2. Let d(o) = -2*o. Calculate g(d(l)).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-2 + (sqrt(17) - sqrt(34)\/sqrt(2))**2 - (sqrt(17) - sqrt(153)\/sqrt(81))).\nAnswer: 6 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -13927 - -22538. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -15\/64 and 43\/8?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k = 5*c - 13 - 6, 4*k = 133*c - 141*c - 20 - 64 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 162483024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 52858 and 177346.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*w + 0*w - 4*w)*(-4 + 0 + 2)*(-14*w - 20*w**2 + 14*w) as x*w + d*w**3 + k + v*w**2 and give d.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkktokkkokooo. What is prob of picking 1 t and 3 o?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 166352 is divided by 793?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -20656042.370023 and -6?\nAnswer: 20656036.370023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -4*n - 5. Let c(q) = 4*q**3 + q. Let f be c(1). Let j(s) = -4 + f - 5 + 3. Let a(o) = -h(o) + 3*j(o). Find the first derivative of a(t) wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -39904 divided by 43?\nAnswer: -928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 165920 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10110010000 - 100?\nAnswer: 10110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**3 + 2*p**2 - 5*p. Let d be (8\/14)\/(2\/(-7)). Let z(c) = -c**3 - c**2 + c - 1. What is d*z(q) - l(q)?\nAnswer: 3*q**3 + 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the third derivative of -d**4\/24 - d**3\/2 - 15*d**2 + 4*d. Calculate the smallest common multiple of y(-4) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -377 + 384. Sort p, 6, 2.\nAnswer: 2, 6, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 477 and 401157.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2541)\/(-627) - 4)*-1.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xyxr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 132369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 350*i*q**3*t**3 + i*q**3*t + q**3*t**3 - 4*q**3 + 2*q*t**2 wrt t?\nAnswer: 2100*i*q**3 + 6*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14\/75641 - -151464\/983333. Let l = -18 + 13.4. Let n = 5 + l. What is the second smallest value in d, -3, n, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.8 + 3.2. Put 5, m, 0.1, 4\/5 in ascending order.\nAnswer: 0.1, 4\/5, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**2 + 3*h + 1. Let u be x(2). Suppose -5 = -5*t, -t = 2*d + u*d - 141. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1934627440 rounded to the nearest 100000?\nAnswer: 1934600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -0*u. Let x = 11 + u. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -50 - -55. Suppose -7*z = -3*z + b*g - 6, g + 2 = 0. Solve 3*a = 5*p - 6, 4*p + 0*a = -2*a - z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from xxxnxn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5738*j = -5711*j - 573588. List the prime factors of j.\nAnswer: 2, 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2064 and 60.\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7 or 825942?\nAnswer: 825942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1300130113 - 211?\nAnswer: -1300130330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 - 0\/(1 - 4))\/1. Suppose 6*t - 3*t - 1029 = o. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/(-3)*(-1539)\/684*(-10)\/(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -625 + 16. Let q = 77340\/127 + l. Which is bigger: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1288, -3635, -7042, -11509, -17036, -23623?\n\"Answer: -530*x**2 - 757*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(637) + sqrt(637) + 0 + -5 - (-4*(-1 + sqrt(637)))**2) + 1*((sqrt(637) + 2 + sqrt(637))**2 + 1) + -5) + -4.\nAnswer: -1176*sqrt(13) + 30656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of 0*z + 1\/3*z**3 - 3 + 0*z**2. Let w(j) be the second derivative of -7*j**4\/12 - 10*j. Give w(s(g)).\nAnswer: -7*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l. Let k(g) = 11*g - 24. Let u(c) = 2*c + 1. Let r(w) = k(w) - 6*u(w). Give r(y(f)).\nAnswer: -f - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -3, 2, -1241 in descending order.\nAnswer: 2, -3, -4, -1241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 - -33?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*s - 20*s**2 + 3*s**3 - 4*s**3 + 20*s**2 wrt s?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 2*a**2 - 3. Let p be 2\/(5\/10*-2). Let k be g(p). Solve 0 = -k*w + w - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes after 5:20 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 17523*w**3 + w**2 + 1. Does 25 divide a(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3128969 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 - (-47 - -56) - (-4 + -1 + 13 - -1).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -7*b**3 + 5*b**2 + 21*b + 49. Give t(-3).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21, -24, -21, -6, 27, 84, 171?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22*h - 5162*h**2 + 22*h + 1 - 3800*h**2 - 5457*h**2 to the form v*h + k + l*h**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 122420 and 2?\nAnswer: 122420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (9 - 3) + (0 - 31) + 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -3*i + 2. Let t(c) = c + 6. Let b be t(-8). Let k(l) = -7*l + 5. Let x(j) = b*k(j) + 5*h(j). Let w(p) = -6*p**2. Give w(x(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + -2 + 4*sqrt(17))**2*3.\nAnswer: -60*sqrt(17) + 1287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s + 54 + 81. Calculate the remainder when 1 + 6\/(-10) - (-3186)\/s is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -93 - -67?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 39 + 1 + 4*q**2 - 222*q**6 + 31 - 18 + 16 wrt q.\nAnswer: -26640*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2 + 3. Let o = 4 + t. Let z = o - 5.3. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1607 times -34\nAnswer: 54638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c\/(c\/(c**(-1\/5)\/c)))*c)\/((c**(8\/7)\/c)\/c))**(2\/113) assuming c is positive.\nAnswer: c**(284\/3955)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -4*i**3 + 2*i**2 + i - 1. Let m be -3*36\/24 - (-6)\/4. Let z(p) = 3*p**3 + 1. Let a(x) = m*z(x) - 2*w(x). Let s be 2\/((1 + 2)\/(-3)). Determine a(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -413*u + 18587. Give z(45).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 101*h**2 - 6*h + 27. Let t be g(5). Suppose -j = -2789 - t. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (8\/4 - -65)*1. Suppose -2*n - 46 = 4*o + n, -5*o + n - i = 0. Does o = -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40080491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*c + 26 + 126 = 0. Let t(s) = -s**3 + 19*s**2 + s - 2. Calculate the remainder when 83 is divided by t(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 32, -23, -130, -301, -548, -883, -1318, -1865?\nAnswer: -2536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 76847 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/8 + 43\/4. Suppose 3*b - 4*z + 9 = 0, -3*z = -b - m + 3. Let o(t) = 3*t - 3. Let u(v) = -2*v + 2. Let f(x) = -3*o(x) - 4*u(x). Determine f(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15630244 by 558223.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 79*l - 2689 - 2525. Solve 0 = 71*s - l*s + 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3137855720.\nAnswer: 2, 5, 733, 107021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.03?  (a) 15  (b) 5  (c) -1388\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 183214790 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 13) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50816*l + 16935*l + 367*l**3 + 16948*l + 16933*l.\nAnswer: 367*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*i**3 - 2*i**3 - 2*i**3 + 1 + 3*i**3.\nAnswer: -12*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the first derivative of w**4\/5 + 28*w**3\/5 - 44*w**2\/5 + 18. What is f in r(f) = 0?\nAnswer: -22, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1011111100100110 (base 2) to base 3\nAnswer: 2111010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -w + 5. Let m = -31 - -38. Solve w - m = 2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**3 - r**2 - r + 27. Suppose -g + 2*l - 11 = -1, g - 25 = -5*l. Calculate the lowest common multiple of w(g) and 21.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*r + 405 - 405)*(11*r + 5*r - 8*r) + 0*r**2 - r**2 + 6*r**2.\nAnswer: -51*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11798 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**3 + 7*c**2 + c - 5. Suppose 0 = -4*m - m + 35. Let w be q(m). Let x = 9.8 - 10. Sort w, x, 3 in descending order.\nAnswer: 3, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6844 + -6840. Which is the closest to 3?  (a) t  (b) 1\/4  (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 2*l + 2*s, -4*l - 18 - 14 = -5*s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 - 2 + 2)*(-c**2 + 2*c**2 - 2*c**2) - 6*c**2 + 2*c**2 + 3*c**2 + (5*c - c + 3*c)*(5*c + 0*c - 4*c) to u*c**2 + a + p*c and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z - 9. Suppose 0 = 2*r - 4*h, 4*r + 0*r - 55 = -3*h. Let c be d(r). Let j be (c\/(-2))\/(8\/(-32)). Solve -27 = -4*q + 3*n - 11, 5*n = j*q - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 4371090720 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 280.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -265467888*-0.3.\nAnswer: 79640366.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:00 PM and 4:17 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6.96 + -8.942. Let y = 0.018 - b. Let n = 3.95 + 0.05. What is the closest to 0.1 in y, n, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2b0060 (base 14) to base 9.\nAnswer: -2733256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -36688 times -0.08?\nAnswer: 2935.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w = 3*b, -3*w - 8 = b - 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -2690400 to the nearest 10000.\nAnswer: -2690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 189 and 36110772?\nAnswer: 252775404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {p: 8, d: 5, z: 3}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -611*q**2 + 1208*q**2 - 615*q**2 + 4949.\nAnswer: -18*q**2 + 4949","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -9*o**3 - 1. List the prime factors of f(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -5*c + 2. Let i(n) = -12*n + 9. Let z(k) = 13*k - 10. Let m(g) = 7*i(g) + 6*z(g). Give 5*d(q) - 4*m(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**3 - s**2 + 2*s + 36. Let h be q(0). Let z be ((-1)\/(-3))\/(((-240)\/h)\/4). What is the closest to 1 in z, 4, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*w**3 - 73*w**6 + 153*w**2 + 0*w**3 + 2*w**3 - 43*w**6 wrt w?\nAnswer: -13920*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -116405726 - -4.\nAnswer: -116405722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-38)\/(-133) + 5\/7. Suppose -3*k + 14 = -b. What is the third derivative of q**5 + 5*q**2 + 0*q**5 + k*q**5 - 18*q**2 wrt q?\nAnswer: 360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -17966*d**4 + 18*d**3 - 20872*d. Let u(y) = 13475*y**4 - 14*y**3 + 15654*y. Let h(f) = 7*c(f) + 9*u(f). Find the second derivative of h(r) wrt r.\nAnswer: -53844*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the first derivative of -101*z**6\/6 - 5*z**2\/2 - z + 33. Find the second derivative of x(k) wrt k.\nAnswer: -2020*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*6*(-3 + sqrt(2736)*4)*-6*-3 + 5.\nAnswer: -967 + 15552*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 45.63579um to kilometers.\nAnswer: 0.00000004563579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (0 + -5 - -9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*x + 2*x + x + (25*x - 12*x - 73*x)*(-22 + 4 - 1))*(-4*x**3 + 4*x**3 - 2*x**3) as y*x**3 + b + i*x**2 + d*x**4 + j*x and give d.\nAnswer: -2282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0\/(-10))\/(1*(3 - 2)). Let z be (0 - -1)\/(f - 1) + 3. Let g be (-3 + 88\/30)*z. Which is the third smallest value?  (a) -2  (b) 5  (c) -2\/9  (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 + -5. Is 25*2\/(2 - q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 - 4. Let j(k) = -k - 1. Let c be j(2). Let o = y + c. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 3*j = -15 - 13, 0 = l - 5*j - 10. Let a = -3 + l. Suppose 2*b - 5*r - 58 = -a*b, 5*r + 70 = 5*b. Calculate the remainder when 35 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6994164467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 86 - -5384.461.\nAnswer: 5470.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-1*(sqrt(5) - (sqrt(5) + 2)))**2 + sqrt(320)*-2.\nAnswer: -16*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1709407, -3418941, -5128477, -6838015, -8547555?\n\"Answer: -i**2 - 1709531*i + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.843414 grams to tonnes.\nAnswer: 0.000002843414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.093204 and -3.\nAnswer: -2.906796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w, 1 p, and 1 g when four letters picked without replacement from pgpxwppwwwwppgpwg.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.575 >= 8\/275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12529834 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -851.9 + 852.9. Let w be 23\/11 - (2 + 0). What is the closest to 0.2 in -1\/3, q, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 212 + -121. What are the prime factors of u?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 9*o**4\/4 - 2388*o**3 + 1264239*o**2\/4 + 531813*o + 213363 = 0. Calculate o.\nAnswer: -1, -2\/3, 157, 906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 2, o: 4, a: 5, k: 7}. What is prob of sequence kohk?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 580 = 460531*n - 460521*n for n.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/(-2)*(-8)\/(-6). Let s(p) = -2 + 8 - z*p**2 + 6*p + p**3 - 5*p**2. Does 3 divide s(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 136 = 3*i + 142. Sort 1, -3, i, 11.\nAnswer: -3, i, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/7  (b) -21  (c) -0.3  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*(j*j**(-19))\/j)\/j*j**(-2\/13))\/((j\/j**20)\/j*j*j*j**(-13)) assuming j is positive.\nAnswer: j**(154\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:47 AM and 3:28 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 850727 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 7*x**2 + 30*x - 154. Give v(6).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 100219127.\nAnswer: 71, 241, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3.01 + -0.01. Which is the smallest value?  (a) 0.1  (b) -1\/4  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3 + 2)*(-4*y + 4*y - 2*y) - y + 2*y + 2*y + 0*y - 4*y + 3*y - 3 + 3 - y + 0 - y + 0 - 2*y - 4*y + 4*y + (y + y - 4*y)*(3 + 1 - 3).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (40*(-60)\/(-1600))\/(3\/22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 22 + -18. Suppose 0 = 6*m - h*m + 4, -3*v = 4*m - 151. List the prime factors of v.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -48.8 - -49. Let r = -1.1 + 1. Which is the closest to -1?  (a) -3  (b) n  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 417629?\nAnswer: 29, 14401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 7*h - 4. Let v(b) be the first derivative of 1 + 13\/2*b**2 - 7*b. Let y(t) = 7*f(t) - 4*v(t). Let z(i) = 2*i**2. What is z(y(o))?\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 4*h + 4 - 4. Let c(a) be the third derivative of a**4\/24 - 2*a**2. Give c(f(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 3 + 4*h + (0 + 3 - 1)*(3*h - 2 + 2) + 306 + 51*h - 306 as z + o*h and give o.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 14339, 14993, 16087, 17627, 19619, 22069, 24983?\n\"Answer: l**3 + 214*l**2 + 5*l + 14119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum -573 and 221.71898.\nAnswer: -351.28102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of 53*q**4\/4 + 1627*q**2\/2 - 1534. What is the second derivative of z(o) wrt o?\nAnswer: 318*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 14*f - 2. Let u(i) = -i + 25. Let x(l) = l**3 + 6*l**2 - l + 5. Let v be x(-6). Calculate the remainder when d(2) is divided by u(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -h**3 - 21003*h**2 - 8*h - 1365723 with respect to h.\nAnswer: -3*h**2 - 42006*h - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 179, 256, 481, 926, 1663, 2764, 4301?\n\"Answer: 12*o**3 + 2*o**2 - 13*o + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 22*k**3 - 3*k + 3. Let x(y) = -1539*y**3 + 209*y - 209. What is 418*h(p) + 6*x(p)?\nAnswer: -38*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78 = 2*u - 4*u + 4*z, 5*z - 39 = u. Let c = -32 - u. Let d = 37 - c. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8 (base 13) to base 4\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c - 14 = c - 2*x, 2*c - 5*x = -16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -326057\/18 + 18107. Let r be (98\/15)\/(8\/3). Let s = r + -37\/60. What is the common denominator of s and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 5*n - 110 = -p, 5*n = -4*p + 380. Suppose 4*u - 3*t - 201 = 0, -u + 2*t = -3*u + p. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2268 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from alalaaaalaall.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -3*u - 6. Let l(n) = -4. Let m = -359 + 356. Let t(y) = 1. Let c(k) = m*t(k) - l(k). Determine -6*c(d) - q(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the first derivative of -i**7\/105 + i**4\/12 + i**2 - 2. Let x(h) be the second derivative of b(h). Find the second derivative of x(f) wrt f.\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -112*z**3 + 5*z**2 + 3*z - 4. Let y(r) = r**3 - r**2 - r + 1. Determine l(u) + 4*y(u).\nAnswer: -108*u**3 + u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -26040 divided by -5208\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}