diff --git "a/data/dm_maths/full_data_1/11209_11255.jsonl" "b/data/dm_maths/full_data_1/11209_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11209_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let y(t) = -t**2 + 10*t - 9. Let n be y(6). Solve 2*f = 5 - n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a century in months?\nAnswer: 8880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**2 - 15*b**2 + 6*b**2 + 6*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 + 2*m. Suppose 4*t + 10 = -t. Let c(n) = -n. Let s(i) = t*c(i) - u(i). Let r(y) = -2*y - 2*y + y. Determine r(s(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 79 - 39 = 0. Let x(m) = -22*m + 31. Is x(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**3 - 7*g**3 + 15*g**3.\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 490508336?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 6*a - a - 4*a**2 - 1 + 9 + 5*a = 0. Calculate a.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: f050 (base 16) to base 5\nAnswer: 3432040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*8060.\nAnswer: 3224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33948, 33947, 33948, 33951, 33956, 33963?\nAnswer: 33972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*l - 3, -2*l - 11 = -2*m - 15. Let s(b) = -3*b + 4. Let n(h) = -h + 1. Give m*s(v) + 4*n(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 2:43 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 42 + 89 = 296*o - 293*o, -3*z - 257 = -0*z - 5*o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-23)\/(483\/70))\/(2\/144). Are f and -244 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 3*s**4)*(-23 - 24 + 39) in the form a*s**4 + f + l*s**2 + g*s**3 + w*s and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 19*l**2. Let j(k) = k**2 + 4*k**2 - 2*k**2. Determine y(j(o)).\nAnswer: 171*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 2. Suppose r + m*r - 5*u = -19, u - 7 = -r. Let t be ((-28)\/35)\/(r\/(-10)). Solve 0*k - 2*k = 4*a - 6, 1 = 3*k + t*a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**2 - 815*j - 2436 = 0.\nAnswer: -812, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 26*v**2 + 29*v + 58. Let c be x(-27). Let p(l) = l**2 + 4*l - 1. Let d be p(-5). Solve -4*o + 4*z - c = 0, 0 = -4*o + z - d*z + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -p - 4*p - 14, 0 = 3*p + r for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 23 = -5*z, -5*z + 5 + 22 = 3*g. What is the closest to 0.9 in 1\/2, -3\/8, g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119\/114 + 42\/19. Let k = z - 4\/3. Let x = 266\/3 + -88. Which is the second smallest value? (a) -4 (b) x (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -3.1. Let f = o + 1. Let v be ((-2)\/(-6))\/(2\/30). What is the second smallest value in f, 2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + -38. Suppose -4 - 6 = -5*n. Suppose -y + 5*g = 5, 5*g - 18 = -n*y + v. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 532 is divided by 271?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -2827, -0.3, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31294573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v**2 - 3*v**2 + 6*v**2)*(-2*v**2 - 3*v**2 + 3*v**2) + (-52*v + 63*v - 27*v)*(-v + v**3 + v) as g*v + n + l*v**3 + r*v**2 + c*v**4 and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6912 - 725752\/105. What is the common denominator of r and -7?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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 j(u) = -u**2. Let s(r) = -r**2 + 17. Give j(s(n)).\nAnswer: -n**4 + 34*n**2 - 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 - 2*t**2 - 3*t - 14 + 2*t - 8*t**3. Suppose 13*f + 30 = 7*f. Is l(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2479 divided by 5.\nAnswer: -2479\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 10*o - 5. Let k(c) = c. Let j(h) = -2*k(h) + q(h). Let p be j(-7). Let u be ((-40)\/p)\/(4\/6). Solve -a - 4*a = u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*n - 70 + 202. Let b be 3\/4 + n\/(-16). Suppose b = 8*f - 6*f - 2. What is the second smallest value in 3, 4, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 34\/5 of a century?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -14. Let l be z\/(-4)*(-1 + 2). Suppose 8 = l*v + 2. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*r + 4*n, -4*r + 2*n + 22 = -26. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 43*l + 519. Let r be g(-12). Let n be -2 + (-1 + 3 - -1). Let a be (n - 4)\/(r\/9). Is -8 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 2:53 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u - 14. Suppose c + 14 = 5*v - 13, c = v - 7. What is the least common multiple of l(v) and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 666*h + 48. Let g(i) = -332*i - 22. Give -13*g(j) - 6*p(j).\nAnswer: 320*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**3 - 1 + 1 + (-4*c**2 + 5*c**2 + 0*c**2)*(4*c + 0*c + 10*c + (-1 + 1 - 1)*(-c - c + 3*c) - 2*c + 0*c + c + 6541 - 6541 + 57*c).\nAnswer: 68*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 98 + -97. Let o be 0 + -4 - -2672*a. Suppose 1581 = p - o. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = m - 15, 0 = -5*m - b - 0*b + 86. Calculate the remainder when m is divided by -1*6 - (-240)\/16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + c - 139 - 289, 168 = 2*m + 2*c. Suppose 90*u = m*u + 4. Let l(q) = -14*q - 9. Let w(t) = 7*t + 4. Let s(h) = 3*l(h) + 7*w(h). Calculate s(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d. What is j(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 114104 to the power of 1\/2, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4097 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 f when two letters picked without replacement from {f: 2, j: 3, x: 7}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 731 = 6136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 8:43 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4952626 * -101.\nAnswer: -500215226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 17*x**2 - 13*x - 13. Let m be w(16). Calculate the highest common divisor of m and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.45704 rounded to two dps?\nAnswer: -17.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9.7036 - -9.7. What is p rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -2, 3, -115 in decreasing order.\nAnswer: 3, 0, -2, -4, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2777*n + 2803*n + 28*c + 138, 0 = -5*n - 2*c - 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 6:30 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 + -1 + 2 + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c**2 + 5*c. Let x(b) = -7*b**2 + 9*b. Let u be (18\/15)\/(6\/15). Suppose 0 = -u*n + n + 10. What is n*g(i) - 3*x(i)?\nAnswer: i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-102)*15623\/(-49626)\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**3 - 5*x**3 + 4*x**3 + (7 - 7 - 8)*(-x**3 - 3*x**3 - 4*x**3) - 4*x**3 + 5*x**3 + 5 - 4.\nAnswer: 62*x**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 6. Calculate l(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, c: 2, x: 4, m: 1}. What is prob of sequence mk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 105*z**2 - 276*z + 2336. Determine t(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 830453 greater than or equal to 830452?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 14) in base 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*k**4 - 109*k**2 + 115*k - 6593 wrt k.\nAnswer: 12*k**3 - 218*k + 115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18383879.91000087 + -18383868.41. Let d = 11.5 - s. Round d to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 84249330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**3\/15 + 854*d**2\/15 = 0.\nAnswer: 0, 427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.838 in -0.1, -1\/12, 0.3, 4, 0.39?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 735053770.\nAnswer: 2, 5, 11, 71, 94117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 837 and 834 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*o - 13, -5*o = 3*f - 22 + 2. Let l(q) = 117 + 8*q + 121 - 238. Determine l(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -5*a + 42370, 4*a - 5*y - 24444 - 9445 = 0. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.02 rounded to 0 dps?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4295882771?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58339964?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/17)*l**(1\/4)*(l\/(((l*l\/l**2*l)\/l)\/l))\/((l\/(l**(-4\/7)*l)*l)\/l))**(-2\/25))**(-6\/13) assuming l is positive.\nAnswer: l**(513\/7735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**4 - 5*h**4 - h**4 + (-3*h**2 + 2*h**3 + 3*h**2)*(3*h + 0*h - 4*h) - 17*h**4 + 2*h**4 + 2*h**4.\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15106.69984 + 15109. Let z = -2.3 + d. Round z to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**4\/(y**0)**(4\/11))**(-39) assuming y is positive.\nAnswer: y**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415*x + 8 = -413*x. Solve -11 = h + x*r, 21 = h - 0*r - 4*r for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**4\/4 - 5*k**3\/3 - 3*k**2\/2 + 4*k + 230. Give l(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 486 and 198.\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 517054?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -2*z + 2, -2 + 21 = -5*z + 18*s - 22*s for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 9:59 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 7308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/7))**(-2\/7))**(2\/47)*(x**1)**(-8)*x*(x*x**(-5))\/x*x**(-8)\/x assuming x is positive.\nAnswer: x**(-48383\/2303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dgtk when four letters picked without replacement from {t: 1, d: 6, x: 1, q: 4, k: 1, g: 3}.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*f - 17 + 32 - 15 - 60*f in the form k*f + c and give k.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9093704ms in nanoseconds?\nAnswer: 909370.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/17 in -16, 12, -41?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 970 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus 286167907?\nAnswer: -286167913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 14 + 2. Suppose 0 = 2*k - 5*k + 5*a - 55, 4*k - f*a + 76 = 0. Let s = k - -29. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1220 (base 3) to base 6.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 25527383354.073 and 0.11.\nAnswer: 25527383354.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(-4) - 1\/4. Let l = w - -7. Let o = -1 - -1. Solve l*x - x + 4 = o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 6*o**2 + 10*o - 3. Let p be n(-5). Let q = 101 - p. Calculate the lowest common multiple of 12 and 3*4 + (-4)\/8*q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -3*w + 11*w. What are the prime factors of 397 - (-2 + (w - 7))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -347273 + 1237972533?\nAnswer: 1237625260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -807*d + 947. Is 17 a factor of x(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -269 - -299. Is -3 + ((-39189)\/(-15) - 18\/t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -8*n - 6. Let d be m(-3). Let t be (-8)\/10*45\/d. Let i = -13 - -17. Which is smaller: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/9)*o*o**(3\/2))**(5\/4)*((o*o**(1\/3)\/o)**46)**(4\/9) assuming o is positive.\nAnswer: o**(2207\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/(-1575))\/(((-130)\/(-350))\/(-13))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 8 (c) 2\/15 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from {v: 4, x: 3, j: 6}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/37? (a) -1\/3 (b) -2\/9 (c) 1.4 (d) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1116 and 35960?\nAnswer: 323640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.24 + 1.54. Let p = 2.8 - u. Let q = 1.5000028 - p. What is q rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61915 divided by -2135.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**3 + 3*i**3 - 5*i**3 + (0*i**2 + 0*i**2 + 2*i**2)*(3*i + 3*i - i) - 53*i**3 - 110*i + 110*i - i**2 + i**2 + i**2 - 5*i**3.\nAnswer: -46*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3106 at most as big as -3105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(66)\/sqrt(6) - (sqrt(11) + sqrt(539)*2)**2) + -2*(sqrt(891) + -3*sqrt(891))**2 + 3.\nAnswer: -9600 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -574 + 878. Let w = 594 - p. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -324 (base 6) to base 11\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 123 + 139. Calculate the smallest common multiple of 2\/(-5) + 284\/10 and s.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 92*m + 66*m + 158 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 - -18. Let w = 21.225 + c. What is w rounded to 2 dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/4 + 194394*g - 388791.\nAnswer: 3*(g - 2)*(g + 259194)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 61068.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -3*m - s, 7*m + 2*s - 60 = 3*m. Let f = m - 14. Solve -2*y + 22 = -5*g - 5, -2*g + 3*y - 13 = f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-6)\/4*53\/(-7791)*-574.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6*n = 68. Calculate the highest common divisor of 17 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -13.7 (c) -1235\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51\/5*b**2 - 6\/5*b + 39\/5*b**4 - 84\/5*b**3 + 0.\nAnswer: 3*b*(b - 1)**2*(13*b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 25, 0.2, -65?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/(-3) - 2)*(2024 - 4). Let q = -12202 + f. Let x be 1\/(-3) - q\/(-27). What is x rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 5*n - 3*n)*(-1 - 2 + 2) - 5*n + 2*n + n + (-5 + 2 + 1)*(2*n + 1 - 1) - 4*n - 13*n - 3*n + 0 - n + 0.\nAnswer: -29*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98946?\nAnswer: 2, 3, 23, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103 + -304540?\nAnswer: -305043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4740*c = 4744*c + 3*t - 107, -270*c + 5*t + 7015 = 0 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.066 (b) -845 (c) -0.2 (d) -5 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1 + 1 - 4 + q + 5. Let l(h) = 5*h**3 + 5*h**2 - 50*h - 70. Let j(t) = 10*i(t) + l(t). Factor j(d).\nAnswer: 5*(d - 3)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5*m - 8 = m, -2*m + 6 = c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 4*i. Let y(m) = 3*m**3 - 1. Let o be y(1). Let b(v) = 101 - v**o + 2*v**2 - 107 - 24*v. Let s be b(24). What is a(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 0. Let g = -9 - -9. What is the nearest to g in -0.4, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 0. Let a = 615 + -611. Solve -2*n - n - 8 = -a*o, 0 = -w*o + 5*n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30201111 (base 5) to base 13.\nAnswer: 85798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + r - r + r**3 + r**3 + 0*r**3 + (0*r**3 + 2*r**3 - 4*r**3)*(-1 + 0 + 3) + 9*r + 4*r**3 - 3*r**3 - 12*r + (-2 + 3 + 3)*(-r**3 + 0*r**3 - 3*r**3).\nAnswer: -16*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 602997, 602874, 602739, 602586, 602409, 602202?\nAnswer: 601959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*i. Suppose -5*d + 4*t + 122 - 42 = 0, 5*t = i. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5019*-0.066.\nAnswer: -331.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*b**3 - 127*b + 276*b - 149*b.\nAnswer: 24*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -9*h**2 + 5*h + 10. Let i(z) = 17*z**2 - 11*z - 19. Let f(m) = 4*i(m) + 9*u(m). Differentiate f(o) with respect to o.\nAnswer: -26*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**2\/2 - 2023*m\/2 + 28714 = 0?\nAnswer: -2051, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2140 = 1568580*y - 1568306*y - 3614 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114988 and 46992?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-2)*(-9)\/(486\/(-48))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3246 divided by 1623.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * 13803.9\nAnswer: -1656.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86 - -111. Let y be m\/30 + 404\/(-312). Which is greater: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 65 in -0.64, 0.4, -2.53?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -21*u**3 - 3*u**2 + 41*u + 103. What are the prime factors of m(-9)?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a week in hours?\nAnswer: 1134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m - m + m)*(-22 + 22 + 28*m) + 4*m**2 - 4*m**2 + 2*m**2 as c + q*m**2 + l*m and give q.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*a + 148, -54 + 1 = -q - 5*a. Calculate the greatest common factor of q and 544.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 1:04 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 1. Suppose 3*b + 16 = -5*k, 0 = -5*k + 131*b - 136*b - 30. Let r(p) = 2*p + 26. Give k*r(c) - v(c).\nAnswer: c + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -1, -5*o + o - 11 = -m. Let j = 1 - o. Factor -32\/11*g**3 + 0 - 14\/11*g**j - 2*g**2 - 4\/11*g.\nAnswer: -2*g*(g + 1)**2*(7*g + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/32 and ((-8)\/(-128)*-7)\/(18\/88).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from vyryv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -451005 + 1651*v**2 + 451005 + 2*v**2 + 0*v**2 - v**2 - v**2 + 2*v - 2*v + (-2*v + 0*v + 0*v)*(v + 0 + 0) + 2*v**2 - 3*v**2 + 3*v**2.\nAnswer: 1651*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1021768 and 5302.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -109, -116, -127, -142?\n\"Answer: -2*z**2 - z - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 12*l - 11. Let q be 12 - (-1 - 5)\/2. Suppose -q*v + 11*v - 44 = 0. Let a be i(v). Which is bigger: a or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from {d: 4, m: 1, q: 2, h: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 12:45 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -865, -3420, -7679, -13642?\n\"Answer: -852*b**2 + b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78219.03 kilograms to milligrams.\nAnswer: 78219030000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o + 175*o**2 - 10*o + 17*o.\nAnswer: 175*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:02 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (6 - (-6 + 14 + 11))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1602 - 612 - 690)*(-2*t**3 - 22*t + 22*t + 2*t**4)*(-t - 3 + 3).\nAnswer: -600*t**5 + 600*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m - 162 = -15*m. Let l be (-1)\/(-1) - 6\/1. Let p = m - l. Which is smaller: -5\/2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151213?\nAnswer: 151213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-3))**(-1\/60))**(2\/23) assuming j is positive.\nAnswer: j**(-2\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8399 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -74, -107, -138, -167, -194, -219?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krs when three letters picked without replacement from {p: 1, r: 1, k: 4, o: 2, s: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -8. List the prime factors of (f\/(-4))\/((-5)\/70).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 11. Let p be b(-9). Suppose -28*y = -24*y - p. Solve 16 = y*f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6697, 13393, 20089, 26785, 33481?\n\"Answer: 6696*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 436 - 3*d**3 + 428 - 864.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9132?\nAnswer: 2, 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*q - 107 = 41, 4*q = 8. Let n be 21\/(-49) - f\/(-14). Let y = 8 - n. Solve 5*s = 5*d - 40, 0 = 5*s + y*d + 12 - 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1261*y + 65 = 1248*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -922 - -932. Let p be 2\/4 + 2\/4. Let n be i\/(-21) + p\/7. Which is the biggest value? (a) n (b) -0.4 (c) -0.3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153459?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**1*g)**(-4))**26)**(-43) assuming g is positive.\nAnswer: g**13416","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 2\/73, 2?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 smaller than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 6*i - 5*i)*((-2 - 1 + 5)*(3 - 1 - 1) + 0 + 0 - 1 + 5 - 4 + 1 - 1 + 2 + 1 - 15 - 23 + 8 + 1 + 0 + 1)*(-3*i**3 + 0*i**3 - 9*i**3).\nAnswer: 552*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 3.64082393\nAnswer: 3.14082393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-51 - 47 - 41 - 105 + 36 - 228)*(3*q - 3*q + q) to the form v + n*q and give n.\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2303 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1214.79 rounded to the nearest integer?\nAnswer: -1215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 9, 33, 57, 75, 81?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110361836 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 31686 = -3*k, -11289 = -k + 2*o - 732. List the prime factors of k.\nAnswer: 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 11*s + 1. Let t be x(-5). Let n(j) = 3*j + 7*j**2 - 2*j - j**2 + t*j**2. Is n(1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, k: 4, z: 4, t: 3}. What is prob of picking 1 k, 2 t, and 1 r?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32612 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fmr when three letters picked without replacement from rrfmo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 9:37 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*y - 38, -15 = -y + 4*y. Suppose -30 = -5*d + 5*o, 2*d + o - 5 = -4*o. Let m = f - d. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50366 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 46145028 divided by 15381676?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + m + 0*m)*(55*m - 96 - 93 - 57*m) to the form j*m + i*m**2 + t and give j.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a. Let k(u) = 16*u + 8. Let t(i) = k(i) + m(i). Find the first derivative of t(v) wrt v.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/5, 59, 1, 1\/6, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -693.3949 and 0.1?\nAnswer: 693.4949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -86b - 254?\nAnswer: -ac2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + 7. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.2 (b) -0.5 (c) -6\/65 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2368 divided by 37\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 427607 - -5?\nAnswer: 427613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 8:05 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-3)\/(-1 - -7)). Suppose -q - x = -m, -2*q - 2*x - 3*x = 2. Let r(f) = -f**2 + 5*f + 1. What is the remainder when 14 is divided by r(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*r = 8. Let d be r\/(-6) - 1148\/(-12). Let h(i) = -i + d - 96. Let x(m) = -5*m. Calculate h(x(l)).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 834, 1676, 2518?\n\"Answer: 842*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -417?\nAnswer: 3\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.257 - -8.643. Let x = -6.9 + q. What is the closest to -2 in 0.2, x, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -2*b**7\/7 + 335*b**6\/6 - 2*b**5\/5 - b**3\/3 - 4*b**2 - 14*b - 1192. What is the third derivative of a(d) wrt d?\nAnswer: -240*d**3 + 20100*d**2 - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382886 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: Let t(v) = -v**3 + 12*v**2 - 12*v + 2. Let m = 14 - 16. Let i(x) = 12*x**2 - 12*x + 3. Let q(r) = m*i(r) + 3*t(r). Find o such that q(o) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + g)*(-4 + 0 + 6)*(g**2 + g**2 + 5*g**2)*(-4*g + g + 4*g) - g**2 + 8*g**4 + g**2.\nAnswer: 22*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.864 plus -102901?\nAnswer: -102873.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.2, -185 in ascending order.\nAnswer: -185, -0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 8252*m**2 - 2*m - 39. Is w(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x + 393. Let g(f) = f - 6. Determine 2*a(u) - 6*g(u).\nAnswer: -2*u + 822","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 + 46 = 5*y + 2*i, -y + 3*i + 7 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -339*b + 7. Let d(g) = 337*g - 8. Let c(f) = 3*d(f) + 4*i(f). List the prime factors of c(-2).\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 7 - 59 = 0. Solve -4220 - 2*i**2 + 8*i + 4220 - m*i = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 + 36.999938. What is i rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140503143 (base 6) to base 13\nAnswer: 78526b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (401 + 89*r - 401)*(0 - 1 + 3)*(2*r - r + r)*(3*r + 0*r + 5*r).\nAnswer: 2848*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 13 + 23 = -2*a, -3*i - 3*a = -9. Let b(q) = 10*q**2 - 14*q + 19. Is b(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 148594430?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -15*p - 491. Let i be a(-33). Solve 0 = -5*u - 2*v - 22, 4*u = u - i*v - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 + 2*q**3 + 4*q**4)*(q - 2*q + 2 + 4*q).\nAnswer: 12*q**5 + 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/7)\/2)\/((-1434)\/(-10038)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 14 + 73*o**3 - o**2.\nAnswer: 73*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 789 - -1?\nAnswer: 78a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.243 - -3.757. What is the second biggest value in o, -0.4, -3, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 1352801, 14 in descending order.\nAnswer: 1352801, 14, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10.9, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 908 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 - 6*a**2 + 3*a**2)*(-a - a + 10*a)*(0*a + 0*a - 4*a**2) - 13*a**4 + 31*a**5 + 13*a**4.\nAnswer: 95*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -63. Suppose -h*c = -28*c + 5. Calculate the remainder when 27 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 196.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - 47. Let v be c\/(-12) + (-3)\/4. Solve -2 = -v*j + 18 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opzpoozzezybz. What is prob of picking 1 o and 2 p?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -24012.4?\nAnswer: 4802.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18066 by 18066.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 8811.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13507 - -37526. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -190 - -478. Let p = 554 - v. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-70)*((-90)\/(-252))\/1)\/((-5)\/7).\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 415.691 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u - 59*u - 3517427 + 14448907 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (385\/(-1))\/(-5) + 4. Let y = h - 37. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006868 rounded to 4 dps?\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 211472.\nAnswer: -42294.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 7 = -2*h + 55, -4 = 4*h. Let v = 62 - d. Calculate the remainder when v is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 1:20 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 582.2787 months to centuries.\nAnswer: 0.48523225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1\/14, 0.4, 7\/2, 42, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 3*k = 60, 4*x - 880*k - 51 = -883*k for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 448656 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4 = -2*d + 7, 0 = 3*d - 3*l + 9. Let s(q) = q. Let g(f) = -6*f - 5. Let v(i) = g(i) + 4*s(i). What are the prime factors of v(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225828479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -168 + 239. Let y(b) = -i*b - 59*b + 115*b. Let h(u) = 9*u**2. Determine y(h(z)).\nAnswer: -135*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence em when two letters picked without replacement from eeeeoommm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42272526 less than 17?\nAnswer: 17.42272526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**2 + 165*m - 332. What is d(53)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 432240 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**4 + 4*s**4 + s**4 - s**4 - 3*s**4 + 6*s**4 + (-s**3 + 3*s**3 + 0*s**3)*(s + 2*s - s) - s**4 - s**2 + s**2 - 102*s**4 + 104*s**4 - 8 + 60.\nAnswer: 8*s**4 + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + 0 + -1 + sqrt(98) + (sqrt(98)*1*-2 - sqrt(98)))*-5*-1)**2.\nAnswer: 350*sqrt(2) + 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 - 39. Let o = -2 + 2.3. Suppose -3*v = 2*v + 10. Which is the nearest to -1\/4? (a) r (b) o (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*q - 8. Suppose 0 = -q*m + m - s + 1, -5*m + 2*s + 40 = 0. Calculate the highest common factor of 4 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 85.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5*f + 14 = 4, 4 = -f. What is the third derivative of 48*l**2 - 105*l**3 + 76*l**q - 91*l**5 + 105*l**3 wrt l?\nAnswer: -5460*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**6\/75 - i**5\/25 + 73*i**4\/10 + 44*i**3\/3 - 2420*i**2 - 21*i - 36. What is w in k(w) = 0?\nAnswer: -11, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38\/883 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -21*p. Let u(l) = -9*l**2 + 3*l. Calculate u(t(f)).\nAnswer: -3969*f**2 - 63*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - a + 109636 = 0, 2*a = -5*y + 67711 + 480478. Suppose 28210 - y = -3*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187, 185, 183, 181?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**4\/12 + u**3 - 3*u**2\/2 + 3*u. Let d be v(4). Suppose 3 + d = 4*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*i - 5*s - 32, -5*i = 5*s - 10. Let b(h) = -h**3 + 6*h**2 - 3*h - 4. What is b(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/20)\/((-1)\/(-5)). Let u be ((-1)\/1)\/((-2)\/i). Let g be (-1 - 0) + (-12 + 28)\/8. What is the smallest value in u, g, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368*c - 553*c + 482*c + 768*c + 1072*c.\nAnswer: 2137*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 8*g**2 + 1 - 5 + 5 - g**3 as i*g + x*g**3 + r + y*g**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 49591958, 49591959, 49591960?\n\"Answer: b + 49591957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -54102, 89, 2, 4\/3, -1?\nAnswer: -54102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*q**2 - 4*q**5 - 6*q**4 + 4*q**3 - 2*q**4 - 62*q**2 = 0 for q.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30327, -121118, -272435, -484278, -756647?\n\"Answer: -30263*h**2 - 2*h - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18458491 to the nearest integer?\nAnswer: 4296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12760078384 + -0.0601.\nAnswer: 12760078383.9399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5511195817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 299496507?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 0 + 12. Suppose 4*k - 5*f + 0*f + 12 = 0, 3*f - 9 = 3*k. Let c be -1 - (0\/k + -3). Solve r + 7 = i + 3*r, -a = -c*i - 2*r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 7353216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v = -33*v - 6, 5371 = -k - 3*v. Round k to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2111, 2125, 2139, 2153, 2167?\nAnswer: 2181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*j - 6, 3*j + 2*j + 9 = -k. Find the common denominator of 3 - (-3093)\/(-540) - 17\/(1989\/26) and 3 + -2 + 35\/k.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + -48. Suppose -5*o = 5*z + 15, 5*z + 0*o = o - 9. Put x, -0.2, z, -0.02 in descending order.\nAnswer: -0.02, -0.2, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -1\/6, -9320.\nAnswer: -9320, -1\/6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((p + 0 + 0)*(-2*p + p + 2*p)*(-2 + 2 - 1) + 80*p - 80*p + 80*p**2)*(-2 + p + 2).\nAnswer: 79*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (171\/(-6))\/(6\/(-8)). Let l be 2\/(-7) + s\/(-14). What are the prime factors of ((-63)\/l)\/3 - 1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3*d + 473, 2*h - 577 = -4*d - 101. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9137 + 23403852431\nAnswer: 23403843294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/27 - 121\/927. Let q = -0.1922 + 0.5922. Which is the closest to -3? (a) i (b) 0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3668 - 3674)*((-21)\/(-10) - (-2)\/5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 7*m + 3*d + 2055, 0 = 5*m + 4*d - 3452. Solve -684*i - 4 = -m*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.4 - -5. Which is the third smallest value? (a) d (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*t - 5 + 16 - 4*t + (-3 - 1 + 5)*(-2*t + 0*t - 4*t) in the form r*t + x and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1360056.\nAnswer: 2, 3, 61, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3933318 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 3)*(2 + 0 - 4) - 17 + 4 - 5 - 8 - 6 + 6 + (-4 + 2 + 3)*(-2 + 2 + 2) - 3 - 2 + 8)*(5*j + 3*j - 6*j).\nAnswer: -50*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 14*a**2 + 3*a + 5. Let b be i(5). Let f = 526 - b. What are the prime factors of f?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12658156507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*(-146)\/(-32)*-4. Let h = -66 - z. What is the greatest common divisor of h and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117959 is divided by 29485.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-35 - -20 - 3 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/37136 and -97\/102968.\nAnswer: 2265296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 62130.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - g**2 - g + 5. Let b be r(0). Suppose m + b*y + 1895 = 0, -1897 = m - 2*y + 5*y. What is m rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m. Let z(l) = 18 - 36 + 19 + l. What is -3*p(f) - z(f)?\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 713 - 37*r - 70 - 580 + 37*r + 4*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56*w**5 - 566*w**2 + 566*w**2 + 169*w**5 + (7*w**2 + 3*w - 3*w)*(-2*w**3 + 2*w**3 + w**3).\nAnswer: 232*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 3*g - 130. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*o = 0. Let z be (1 + o)*(1 - 0). Put -2, -5, z in ascending order.\nAnswer: -5, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + d**2. Let m be v(0). Suppose -5*j - 15 = -m*j. Suppose 3*q = -2*q + 25. Sort 7, q, j.\nAnswer: j, q, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -104 (b) 0.1 (c) 0.06 (d) 0.2 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a**3 - a**2 - 4*a - 4. Let m be t(-1). Let z be 106 - (m + 2)*(-8)\/(-10). Calculate the greatest common factor of z and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*k - 10*k + 2*k)*(4 - 2 + 0)*(1 + 2 - 1).\nAnswer: -96*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*g*p**2 + 1238415*g*p + 1477*p**2 + 8 wrt g.\nAnswer: -18*p**2 + 1238415*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 688032 and 458688?\nAnswer: 1376064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1861 (b) 4 (c) 5\/4 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30958 = -308*x + 285*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147375 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/39 + 23\/312. Find the common denominator of 34 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + ((-69)\/(-22))\/((1701\/168)\/(-27))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from {y: 1, f: 12}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.34 - -0.04. Put 0.04, 0.2, x in decreasing order.\nAnswer: 0.2, 0.04, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (30\/4)\/((-35)\/(-14) - 2) and 21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*m - 751, 7*m = -2*s + 6*m - 301. Let j = s - -272. Does j = 121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**4\/6 - 3*k**2\/2 - 2*k. Let u be f(-3). Calculate the greatest common divisor of u and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 71 = -5*p, 7*p - 8*p + 7 = 2*g. What is the remainder when 112 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -11, -75\/272 in increasing order.\nAnswer: -11, -75\/272, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -37, -28, -19?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 4, 1 in ascending order.\nAnswer: 0, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 2010 - 122. Is l a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/4, 1.3 in increasing order.\nAnswer: -4, -1\/4, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + 4*(-1 + -3 + -3*sqrt(208)))*-2*-3)**2.\nAnswer: 55296*sqrt(13) + 1087488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o + 3*o - 2*o)*(-2*o**4 + 9*o**4 - 3*o**4) + 1 + 5*o**5 + o**5 - 3*o**5.\nAnswer: -13*o**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1740885, -1741089, -1741277, -1741443, -1741581?\nAnswer: -1741685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217302779 - 217302779 + 9*c**3.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003723 rounded to 7 decimal places?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-21))\/(19\/(-57))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 9. Let m be c(-9). Suppose m = -4*l + 57 + 191. Suppose 0 = -2*w - 4*y + 28, 4*w - w - l = -2*y. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -65, -132, -189, -230, -249, -240?\n\"Answer: n**3 - n**2 - 71*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 9 = -31. Suppose f - 6*f - 3*l + z = 0, -3*f - 2*l = -11. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 17*r - 3. Let l be b(-14). Let j = -42 + l. What is the units digit of 1*(-1 - 0) - j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4219?\nAnswer: 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 106*x**2 + 2*x + 1. Let f be b(-1). Let k = -88 + f. Calculate the remainder when k is divided by (3 + -1)*(-21)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 9430 - (140\/28 - -9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*-2*sqrt(52) - sqrt(52))*-2)\/((sqrt(600) - sqrt(600)*2)\/sqrt(6)))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7238\/(-55)*62\/1776. Let m = h - -2\/185. What is the common denominator of m and 79\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*w + 3144 = -0*w, 2350 = 3*m - w. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9383 and -4.\nAnswer: -37532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*r - f = -152*r + 10, -2*f = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 23*p + 58. Calculate m(-25).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (324\/(-18))\/(10\/(-2)*28\/630*-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2 + 0*l**2 + 28*l - l**2 - 9*l. Is 25 a factor of a(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -292, -583, -874, -1165?\n\"Answer: -291*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04 and -1.967.\nAnswer: -1.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.20593*4.\nAnswer: -100.82372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4\/11 + 8*g**3\/11 - 10*g**2\/11 + 4*g\/11 = 0 for g.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 5*r**4\/24 - 5*r**3 + 27*r**2 + 2. Let f be k(6). Solve f = -4*j + 4*h - 24, 5*h + 9 = -4*j + 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -11*h + 300. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 15*o - 9*o. Solve 2*j - 1 = 4*h - o*h, 3*h + 11 = 2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 61*x + 333. Let t be m(-5). Solve -48 = 4*k - t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389*r**4\/6 - 1954723*r**3\/6 + 820813491*r**2\/2 - 17128845149*r\/6 - 44065567\/3 = 0. What is r?\nAnswer: -2\/389, 7, 2509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 198920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a - 7*a**2 - 3 - a + 1 + 23*a**2. Let l be s(1). What is the highest common divisor of 144 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 27*t**2 + 0*t**4 + 1\/120*t**6 + 5\/6*t**3 + 0*t + 0 - 1\/60*t**5. Determine m(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 5 = -2*b, u = -5*b + 10. Let g be (6\/u)\/((-15)\/(-975)). Suppose -294*d + 520 = -284*d. What is the greatest common factor of d and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**4\/3 - 229*w**3\/3 + 66469*w**2\/3 + 133621*w\/3 + 22308 = 0.\nAnswer: -396, -1, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -951, -945, -935, -921, -903?\n\"Answer: 2*w**2 - 953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a - 4*a)*(-a + a + 2*a)*(3 + 7 - 9) + (-2 + 2 + 1)*(3*a**2 - a**2 - a**2) + 5 + 0*a**2 + 2*a**2 - 3*a**2.\nAnswer: -4*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + s + 1 + (s + s - s)*(-1 + 4 - 1) - 4 + s + 4 + (-9*s + s - 4*s)*(2 + 1 - 2).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 8:23 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-3 - -12) + (-2 + -23 - 53).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -0.0117, -6, -4?\nAnswer: -0.0117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a - 9. Let g(k) = -1. Let t(x) = 2*g(x) + y(x). Let j be t(-8). Sort 0, 3, j.\nAnswer: 0, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2559*x**2 + 2559*x**2 - 78*x**3.\nAnswer: -78*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 36 - 12 = 0. Let m be -3*(0 + -3 + 2). Suppose -3*j - 4*y + 10 = 0, q*y - m*y = -25. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/(-12))\/(-14)*(-99)\/(-3) - (33 - 34)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 16*l**2 - 5*l - 12. Suppose 28 - 2 = 2*o - 2*h, 4*o = h + 37. Let j be i(o). Calculate the greatest common factor of j and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**7\/4620 + v**6\/330 - 5*v**4\/6 - 40*v. Let m(t) be the third derivative of x(t). Factor m(a).\nAnswer: -6*a*(a - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4730*m - 26319.\nAnswer: -4730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 2\/3 (c) 5\/26 (d) 0 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 7 = -18, -2*p = -5*w - 16137. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**3 - 179503*a**2 + a + 10523209.\nAnswer: 3*a**2 - 359006*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a kilogram in grams?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*g + 74*g = -260. Is (-13)\/g - 34142\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 98 - 70. Find the common denominator of 37\/5 and q\/16*3\/(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22, -50, -114, -232, -422, -702, -1090, -1604?\n\"Answer: -3*k**3 - 7*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 3*z**2 - 8*z - 4. Let f(v) = 7 - 2*v - 1 - 3. Let y be f(4). What is h(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -40 and -0.18799629482.\nAnswer: -40.18799629482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = 834 - 904. Let a(h) = -5*h**2 - 2*h - 4. Let l(q) = -11*q**2 - 3*q - 9. Determine m*a(s) - 3*l(s).\nAnswer: -2*s**2 - 5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 116601?\nAnswer: 466404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 340381332 divided by -12\nAnswer: -28365111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7*j - 11. Let m be d(8). Let n be (-9)\/m + (-42)\/(-10). Solve l = n*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d - 21*d = 1430. Does 22 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 189089187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000030082 rounded to seven decimal places?\nAnswer: 0.0000301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1068*x**3 + 7992*x + 7804*x - 15796*x.\nAnswer: 1068*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 1695\nAnswer: -1708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -89, -156, -221, -284, -345, -404, -461?\n\"Answer: y**2 - 70*y - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2049369 and -306.7.\nAnswer: 2049062.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 11 = -3*p, -5*l + 5 = -p - 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 7 + 8 + 13*v.\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 356?\nAnswer: -351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*q - 59*q = 0. Suppose q = 2*u - 4, 5*u + 19 - 7 = 2*k. Solve -3*v + k = -3*a - 1, -v + 5*a + 24 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 4, -2393, -1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -2, 3.7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 239890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**3 - 117778*n**2\/7 - 193552*n\/7 - 67328\/7 = 0?\nAnswer: -8\/7, -1\/2, 4208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2137?\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43850, 43852, 43856, 43856, 43846, 43820, 43772, 43696?\nAnswer: 43586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 8*c**2 + 6*c + 9. Let o(x) = -3*x**2 - 2*x - 3. Let a(b) = -4*h(b) - 11*o(b). Let m be 12*1*2\/6. Determine a(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.21 + -3. Let m = 0.01 - s. What is the nearest to m in 3, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 75 + 56ba?\nAnswer: 5762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -234384 (base 13) to base 14.\nAnswer: -17b3ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1655 + 3306. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 38. Let s = 32 - 19. Let c = s + x. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -703568*i**5 + 8212*i wrt i?\nAnswer: -14071360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(5\/(-20))*1. Let o(w) be the first derivative of -1\/12*w**3 - 1\/16*w**c + 1\/8*w**2 + 1\/4*w + 3. Suppose o(d) = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7034*s + 19707*s - 10369*s + 11980*s)*(-s**3 + 0*s + 0*s).\nAnswer: -28352*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3*h - 6 - 2*h + 6*h - 3*h + (-1 + 1 - 1)*(h - 5*h + 2*h) + 2*h + 2*h - 3*h + (3 - 4 + 4)*(-3*h + h - 3*h))*(2*h - h + h).\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -34012477 at least as big as -34012477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 + 74. Suppose 5*f + 0*b - 9171 = -b, -o*f = 5*b - 3650. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 v when four letters picked without replacement from vzvvzvvzvvvvvvv?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(684) - (sqrt(684) + 3)*4))*6*2.\nAnswer: -216*sqrt(19) - 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12362 + -12115. Calculate the remainder when 256 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 + 124*n + 120.\nAnswer: 4*(n + 1)*(n + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-570 - -613) + -64 + (85 - 1) + 0?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3 + v + 2*v**2 + 4*v + 2 - 3*v. What is the least common multiple of ((-8)\/3)\/((-14)\/84) and i(0)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 + f**5 - 5*f**5 + (1 - 1 + 2*f**2)*(-2*f**3 + 0*f**3 + 3*f**3) + f**2 - f**2 + f**5.\nAnswer: 2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 800.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.6 + -0.4. Let z = o + 18.9. Which is the closest to -1? (a) 2\/9 (b) z (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b - 23*b + 25*b - 57*b = 1480 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*(sqrt(684)*2*-2)**2 - ((1 + sqrt(684) + 2)**2 + 4))*-6 + -3.\nAnswer: 216*sqrt(19) + 398168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.418500761 + 0.06318.\nAnswer: 0.481680761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f**2 + 0*f**2 - 11*f**2 + 7*f**2. Let d(u) = -3*u**2. What is d(v(q))?\nAnswer: -507*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipkkiikkkikkkk. What is prob of sequence ipi?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 622 + -700 - (-12 + -31).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -504*a**2 + 104835*a - 558. Give x(208).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w - 2*w - w + 8*w - 52 in the form v*w + c and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -439452 divided by -2.\nAnswer: 219726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 13*c**2 - 20*c + 6. Let i be k(-11). Let l = 73 - i. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 68437 = 97615 - 26506. Is a a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -93\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 109 divided by 5\nAnswer: 109\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -2, 0.02 in increasing order.\nAnswer: -2, 0.02, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -27455, -27465, -27485, -27515, -27555?\n\"Answer: -5*v**2 + 5*v - 27455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2609 - -2750. Calculate the greatest common factor of r and 611.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0254*3.\nAnswer: 0.0762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -11\/6*i**4 + 0*i**5 + 0 + 23*i**2 + 0*i**3 + 0*i + 1\/40*i**6. Find the second derivative of z(d) wrt d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 8*x**3 - 7*x**2 - 400*x - 11. Let v(m) = -m**3 + m**2 - 7*m + 2. Determine c(h) + 6*v(h).\nAnswer: 2*h**3 - h**2 - 442*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4\/5 - 366*v**3\/5 - 3408*v**2\/5 - 9184*v\/5 - 6144\/5 = 0 for v.\nAnswer: -4, -1, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 8*h - 14. Calculate t(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0741 and -12?\nAnswer: 11.9259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-6) - (-21)\/9. Let n be 6\/((-2)\/l - 0). What is the common denominator of 6\/n*(-6)\/(-4) and 76\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29.011 + -29. Let d = q + 0.989. Sort 0.1, d, 0.2, -5 in decreasing order.\nAnswer: d, 0.2, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: aa835 (base 11) to base 9\nAnswer: 264424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13561 + -7746. Find the second derivative of 5799*k + 3*k**2 - x*k + 0 - 18*k**4 + 3 wrt k.\nAnswer: -216*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 974 or 1387?\nAnswer: 974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 90*j**2 + 2. Let b(r) = -r**3 - 2*r**2 + 1. Give 4*b(x) - 2*c(x).\nAnswer: -4*x**3 - 188*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*l**4 - 3 - 1 + 1 + 2 - 41*l**4 + 5*l to v + i*l**3 + b*l**4 + p*l**2 + m*l and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.98 in 0.2, 0.9, -88?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -52413.\nAnswer: -2\/52413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24888292 and 124.\nAnswer: -24888168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lyllyyllyllllllyyll. Give prob of picking 4 y.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/(-595))\/(56\/(-560))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 837?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-7 + (12 - 8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22\/264*21\/(63\/60)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2\/9 - 248*v\/3 - 3844.\nAnswer: -4*(v + 93)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 1344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1814 divide 45637155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1527.\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8509846 is divided by 1751?\nAnswer: 1737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 996 = 2007. Calculate the greatest common factor of p and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5449520 to the power of 1\/2, to the nearest integer?\nAnswer: 2334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from ybqee.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 - 5*f**2 - 2. Let d be y(3). Solve 5*v + 4*x + 3 = d*x, 5*v + 19 = -x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.061627 (b) -3\/20 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h**4 - 2678*h**3 + 296572*h**2 + 503552*h - 200704 = 0. Calculate h.\nAnswer: -2, 1\/3, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1631\/14 - 2)\/(2\/4).\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/11, -0.2273 in increasing order.\nAnswer: -0.2273, 1\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j + 9. Suppose 30 = -3*b + 96. Let t = b + -22. What is the remainder when 87 is divided by m(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 equal to -524\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 35, 120, -2, -33 in increasing order.\nAnswer: -33, -2, 3, 35, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12734483*4.8.\nAnswer: 0.611255184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**7\/840 - g**6\/180 - g**5\/15 - 31*g**4\/12 - 34*g. Let s(o) be the third derivative of m(o). Is s(7) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/(-2 + 4)*12\/(-9). Let y = q + 9. What are the prime factors of (-383)\/(-5) - 10\/75*y?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 635973067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 117*v + 145327 - 468481. List the prime factors of v.\nAnswer: 2, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -3. Suppose -5*a - 15 = l, a + 0*a = 4*u - 75. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2)*(s + 4 - 4) - 5*s - s + 5*s)*(127 - 278 + 95) + 0 - 2*s + 0.\nAnswer: 166*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 25*g + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -429, -428, -427, -426?\n\"Answer: d - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(200)*4).\nAnswer: sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2 - 131*p + 132 = 0. Calculate p.\nAnswer: -132, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5920, 15, 0 in increasing order.\nAnswer: 0, 15, 5920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76\/(-285)*434\/496*10\/(-217).\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k + 4. Let q(u) = 5*u. Determine q(h(g)).\nAnswer: 20*g + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-1))\/f)**(-10\/9))**(-44) assuming f is positive.\nAnswer: f**(440\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1429 + 1443. Suppose 24 = v - l, 5*v + l = 117 + 27. Calculate the smallest common multiple of v and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110 and 2170?\nAnswer: 23870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-34 + -17 - -52).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 11. Suppose 2 = 2*w + 6*f - 2*f, 2 = 2*f. Let x = w + n. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33207 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168 and 88956.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1169 by -4646.\nAnswer: 1169\/4646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/(-9) - 22\/99 - -789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 6:17 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -503657 (base 8) in base 10?\nAnswer: -165807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 896, 6848, 22868, 53954, 105104, 181316, 287588?\nAnswer: 428918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shs when three letters picked without replacement from {v: 3, h: 7, s: 2}.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 3*h**2 + h + 0*h. Let b(j) = -115*j - 12. Let d(w) = -3686*w - 380. Let r(o) = 95*b(o) - 3*d(o). What is z(r(a))?\nAnswer: -53067*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/57*(270\/(-4))\/5.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -184132, -368260, -552388, -736516?\n\"Answer: -184128*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -302*x = -289*x + 3471. Let l = x - -269. Let u(p) = -p**3 + 2*p**2 + p + 2. Let v be u(2). Sort l, -22, v.\nAnswer: -22, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxm when three letters picked without replacement from {d: 8, m: 2, x: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 94\/4 - 10\/20. Solve u = c - 5*r, -4*c + 2*r = -8*c + 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence joy when three letters picked without replacement from oyjoobyo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12543\/70 + 857\/5. Let k be 223170\/(-220) + 6\/(0 - 2). Let o = 1016 + k. What is the common denominator of o and j?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/7068 and -131\/1284?\nAnswer: 756276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -z, -o = -4*z + 5*z + 8 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = -5*f + 3*j + 781, f + j - 155 = 0. Let o = f + -41. What is the highest common factor of 18 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -50016, -50331, -50650, -50973, -51300?\n\"Answer: -2*y**2 - 309*y - 49705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*a + 5501, -34*n = -29*n + a - 6900. Is 63 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3944 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, v: 2, l: 3, w: 4}. Give prob of picking 2 v and 1 i.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -1\/150*j**5 - 3\/5*j**3 + 0 - 2*j + 1\/10*j**4 + 3*j**2. Let q(c) be the first derivative of s(c). Factor q(a).\nAnswer: -2*(a - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 134 and -0.85935.\nAnswer: -115.1529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 b when four letters picked without replacement from {o: 4, b: 5, n: 6}.\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + s**2 + 2. Let p be v(0). Suppose g - p = -0. Suppose g*x - 3 = 27. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**3\/2 + 31*h. Let j(r) = -2*r**2 + r**2 - r**2. Give j(i(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 + 5*m**2 - 4*m + 1. Let x be h(-3). Is (50 - x)\/(0 + 1 + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2430000 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from ddddpdpdpddddd?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.022 - -8.022. Suppose -240 = -4*x - 2*x. Let d be 5\/(-2)*(-12)\/x. Is w > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -46, 2, -5, -10 in descending order.\nAnswer: 13, 2, -5, -10, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, z: 3}. Give prob of sequence nnzz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 547 + -261. Let c = -286.2 + o. Sort c, -69, -0.5 in ascending order.\nAnswer: -69, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 1\/4, -4, 13, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 708833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 1)*(-w - 4 + 4) + 121*w - 5226 + 5226 to c*w + l and give c.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-17)\/x)**(-1\/16) assuming x is positive.\nAnswer: x**(9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n + 860*n**2 - 1626*n**2 + 779*n**2.\nAnswer: 13*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 1. Let s(q) = q**2 - 2*q + 5. Let v(f) = -2*f**2 + 5*f - 9. Let l(p) = 7*s(p) + 4*v(p). Let w(x) = 6*a(x) - l(x). Calculate w(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 362 + -4?\nAnswer: 35a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.25? (a) 3\/2 (b) 1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -46.32020039931 from -0.18.\nAnswer: 46.14020039931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -22, 5 in descending order.\nAnswer: 5, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81078060.\nAnswer: 2, 3, 5, 7, 193043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 14 - -19 - 27\/(-21) - 8. Factor 4\/7*f + l + 2\/7*f**2.\nAnswer: 2*(f + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1035443, -1035812, -1036185, -1036562, -1036943, -1037328?\n\"Answer: -2*p**2 - 363*p - 1035078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3060)\/(-48))\/(-15) - -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 4*l**3\/3 - 11*l**2 + 4*l - 70. Suppose -17*u - 29*u = -230. Calculate o(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 - -43. Which is the closest to -1? (a) 0.3 (b) 1\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7336 at least 7338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(171) + sqrt(171)*2) - ((sqrt(171) + sqrt(171)*1)*-3 - sqrt(171)))\/((sqrt(18)*-2*5)\/sqrt(2)).\nAnswer: 11*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 760093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/45*1658\/(-8290)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -203 - -388. What is the remainder when y is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5253 from 2.\nAnswer: 2.5253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 86676689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = l - 1, -5746*l + 4*g + 24 = -5742*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.33346 (b) 2 (c) -4 (d) -0.1 (e) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/14 - (((-969)\/63 - -13) + 3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/10*(-10)\/(-4). Let s = -1295 + 1313. Solve s = 4*l + i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7388544*n + 36616 = -7389340*n for n.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 - -3.1. Let g be 19\/(-12) - -1 - (-87)\/348. Which is the second biggest value? (a) w (b) 13 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1777620 + -1052963. Let k = g + -252898. Let t = k + -911759. Round t to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvoellol. Give prob of sequence le.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**5\/20 + 5*u**4\/4 - u**3\/6 - 5*u**2 + 5*u. Let i be m(-15). Solve 0 = i*y - y - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 21.3 (b) 2\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - 0.9. Let v = -304\/15 + 108\/5. Which is the closest to r? (a) 3\/4 (b) v (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + -2 + 15 + (-152 - -157) - (1 - -62).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + (5*(-1*sqrt(16)*-3 + sqrt(16)))\/(sqrt(96)\/(sqrt(132)\/(sqrt(11)*-2))))**2.\nAnswer: -100*sqrt(2) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.79 + -1.29. Let y = -2 + 4. Let p = y + -2. What is the closest to -1 in q, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.98 times 560?\nAnswer: -5588.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4 = -p. Let r = 262.8 + -263. Which is the nearest to -3? (a) -2\/19 (b) p (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92)\/(-690) + 16\/105.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 2841425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 63 + 69. What is the greatest common divisor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 8*l**2 - 3*l - 19. Let a = -4 - 4. Let u be z(a). Solve u*b = -15, -4*c - 7*b = -3*b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 4 - 5)*(-524*s + 5957*s + 4687*s) as y + t*s and give t.\nAnswer: -50600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 394 = -596. Calculate the highest common factor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -90214503950.701 and 5.\nAnswer: -90214503945.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -s + 5*w, 2*s - 2*w + 54 = 12. Let b be 4\/s + ((-3020)\/2288)\/(-5). Is 1 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = -u - 0*r, -5*u + 3*r = 7. Let h be 2*1\/u - 5. Is (h\/(-4) + -1)*1082 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14 - (3\/(-3) - -3). Suppose -t - k - 2 = -8, 0 = 4*t + k - i. Let a(s) = -s**3 + 5*s**2 + 1. What is the lowest common multiple of a(5) and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-2 + 10) - (14 + 3 + -55).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**2*l + 214*a*l**2 - 295*l**2 wrt a.\nAnswer: -2*a*l + 214*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2\/9))\/(j*j**(2\/7)))\/((j**(2\/23)\/j)\/j*j**(-2\/13)*j) assuming j is positive.\nAnswer: j**(18901\/18837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 7:10 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 95.5195 and -2.\nAnswer: -191.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 5\/(-30) + (-109)\/(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -138*g*o**2 - 130*g*o - 276*g - 60 wrt o.\nAnswer: -276*g*o - 130*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x + 31. Let b be w(-9). Let v = -4 - b. Calculate the least common multiple of v and 40\/(-12)*3\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 86*o - 1 + 0.\nAnswer: -86*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + -23. Let s = 32 - -481. Suppose k - 188 = n, -2*k = n - s + 140. What is the highest common divisor of w and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (-18)\/8*-244. Let h = f - -1497. Calculate the greatest common factor of h and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 91*i + 399. What are the prime factors of v(21)?\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*q + 21 = 1, 5*d - 5 = q. Suppose d*r - r = -5. Let i = -90 + 115. Calculate the greatest common divisor of r and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16.21 + 16.2101697. Round f to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 3*v + 4*v)*(6 + 4 + 8)*(0 - v**4 + 0).\nAnswer: 36*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1759\/382570 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 7*i - 228 = 0. Let v = 66 - i. What is the least common multiple of v and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 - 6\/(-3) - -37.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18.61 - 19. Let k = q + 0.24. Let m = k + 0.55. What is the second biggest value in 0, -1, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1598 + -0.010722822\nAnswer: 0.149077178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 2320 = 4*o, 5*l - 4*o = 713 + 2232. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2334*g - 189. Let p(u) = 9366341*u - 758484. Calculate 28092*o(i) - 7*p(i).\nAnswer: 2341*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 786?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(120\/5))\/(194\/388)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 165691683 and 0.209.\nAnswer: 165691683.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 2)*(5*x + 6*x + 6*x + 4) in the form u*x + v and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 15*v - 21. Let h be u(5). Let p be 0 + 576 + 2 - -2. Suppose 11*o = 7*o + p. What is the greatest common divisor of o and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*a + 67*a = 140 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a8a6b - -44a?\nAnswer: -a8621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 4:51 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 9:35 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jkgkbkgsgsg. What is prob of sequence sbkj?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1647 + -1760.1. Let v = 113 + z. Let h be 0 - -1 - (-2 + 2). What is the biggest value in h, 0.5, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 110 + 4*i - 1\/4*i**4 + 2*i**2 - 4\/3*i**3. Calculate x(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 2)*(3*f**2 + 0*f**2 + 0*f**2) + 0*f + 2*f**2 + 0*f)*(-1268*f**2 + 1959*f**2 - 1130*f**2)*(0 - 1 - 4).\nAnswer: -2195*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**3 - 7*z**2 + 5*z. Let a(o) be the first derivative of -o**4\/4 + 4*o**3\/3 - 3*o**2\/2 - 6668. Calculate -7*a(x) - 4*c(x).\nAnswer: -5*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*c + 41*c - 781 = -26961. Let d(q) = q**2 + 8*q + 5. Let k be d(-13). Calculate the highest common factor of c and k.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1790, -3646, -5502, -7358, -9214, -11070?\n\"Answer: -1856*r + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -25 and 494 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559 = -5*u - 1396. Let n = -251 - u. Suppose -r = -5*r - n. Calculate the common denominator of r and 61\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 135579*s - 2377. Is i(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15704 by -3926.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 134223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.01 - 0.71. Which is the third smallest value? (a) 3 (b) 3\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23821685 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -5617*g**5\/20 - 2131*g**4\/12 + 1646*g - 3. Find the third derivative of u(w) wrt w.\nAnswer: -33702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = d + 3*f, -d - f = -5*f + 16. Let n be d\/(5 + -10 - -7 - 1). Solve -2*a + a + 4 = n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 311866 and 3962.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -19620.524 + -57011\nAnswer: -76631.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1064060 = 14*n - 1064620 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5783870 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 66 + 12*y**2 - 17 in the form a*y + i*y**2 + v and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69715646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2\/3, 61, 1\/47?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/2)\/(645\/(-86)).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x**2 - 93*x + 1632. Give z(-26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -41. Suppose l = 4*y + 3*l - q, 0 = -y + 3*l - 2. Are y and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69473 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 10 = -d, 2*o - 3 = -5. Let h be (d\/15)\/((-2)\/(-24)). Put -4, -5, h in ascending order.\nAnswer: -5, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 13. Let f = -15 + 66. Suppose 3*x = -9 + f. Calculate the greatest common factor of x and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 7*l. Suppose -3*b - 2*t + 14 = -8, 2*b - 3 = t. Suppose l*q = -b*q. Solve 0 = -2*h - q*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 526037 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 4*h - 8 = 0. Suppose h*z - 38 = 58. What is the tens digit of ((-16)\/z)\/(2\/(-486))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 4 - 21 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -6 (c) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157997.4 weeks to microseconds.\nAnswer: 95556827520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 112 = 2*j, -2*j - 14 = -i + 14. Calculate the remainder when i is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572300 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-65)\/(-45) + (-990105)\/(-27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 708 and 14604.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 + 76. Solve b*k - 8 = -2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3259 = -465*c + 1687 + 169 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 959, -117 in decreasing order.\nAnswer: 959, 8, 5, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -61 in descending order.\nAnswer: -2, -3, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497 is divided by 103?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/3)*b*b\/b**(-2\/27)*(b\/(b\/b**4))\/(b**(-10\/9)*b))**(1\/13) assuming b is positive.\nAnswer: b**(149\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + -3. Let k = j + 15.17. What is k rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8466.11 - 8466. Let d = -4 + 3. Let m = 0.7 + d. Which is the third biggest value? (a) z (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -11, 5, 16, -5, -43 in increasing order.\nAnswer: -43, -11, -5, 3, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 8:05 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (32 - 9) + 6 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4778403 times -0.29?\nAnswer: 1385736.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 513529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4792487 + 4792487 - 160*n**2.\nAnswer: -160*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1406336511*a**3*j + 259872953*a**2*j - 2*a*j wrt a?\nAnswer: -8438019066*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6138 - -6137. Let r be 1 - (15\/9 - 2). Which is the third biggest value? (a) r (b) 13\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7292?\nAnswer: 2, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 + 12*l**2 + 315*l - 1921. Determine s(6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 72*c**2 - 12*c. Let h(u) = -29*u**2 + 5*u. Determine 12*h(s) + 5*j(s).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + n = 92, -2*l - n + 55 - 17 = 0. Suppose -12 = -3*g, b + 0*g - 46 = -5*g. Calculate the smallest common multiple of l and b.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2953038198 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**3 + w**3 + 10*w**3 + (-3*w + 2 - 2)*(w - w + w**2).\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 10 = c + 4*c, -14 = -3*w - c. Solve 16*u - 15*u = w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - n**2 - 4*n - 1. Let o be d(3). Suppose -2*s = -3*q - 0 - 3, q = -o*s - 1. Suppose s = 2*j - j - 2. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 268 + -153. Let u = -115.2 + x. Which is the fourth biggest value? (a) 2\/3 (b) u (c) -1 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -96, -114, -148, -204, -288, -406, -564?\nAnswer: -768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((392\/42)\/((-4)\/6))\/(-13) and -2\/3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o - o**2 + (-2*o - 1 + 1)*(1 - o - 1) + 4*o**2 + 19*o**2 + 28*o**2)*(5*o**2 + 0*o**2 - 4*o**2).\nAnswer: 52*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-10))\/(880\/(-4400))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 701 - 421. Let k be d\/(-12)*108\/(-21). Let m = k + -62. Is m a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**4\/r**4*r**(1\/4)*r**0 assuming r is positive.\nAnswer: r**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.0789+-0.0276\nAnswer: -0.1065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*a - 30, 2*a + 19 = 3*v - 0*a. Suppose 4 + 20 = v*c. What is the remainder when 23 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-3) - 1\/1)*(-186)\/(-930)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 7*u + 4. Suppose -18 = h - 5*g, 5*h - g - g = -21. Let l(t) = 15*t + 9. Calculate h*l(b) + 7*d(b).\nAnswer: 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -448 - -241. Let x be (-18)\/4*92\/h. Solve j - f = 0, j + f - 12 = -x*f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 90 (b) -0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 0 + (-1 - 2) - 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 379946*g**4 - 21*g - 14156?\nAnswer: 4559352*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5693.438045 to one dp.\nAnswer: -5693.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - y**2 + y. Let g be c(2). Let j be 2\/2 - (0 - -3). Let k be (j\/g)\/(1 - 2). What is the second biggest value in k, 1\/8, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-2\/85)*l)**25\/(l\/l**(-1\/15))**(-4\/29))**(1\/18) assuming l is positive.\nAnswer: l**(551363\/133110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118495377 to the nearest integer?\nAnswer: 10886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k**3 + 29*k**2 - 5. Let v(r) = -5*r**3 + 28*r**2 - 6. Let d = -3289 + 3283. Give d*j(l) + 5*v(l).\nAnswer: -l**3 - 34*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 870 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -7*l - 5. Let u be y(-3). Let h(p) = p**3 - 15*p**2 - 9*p - 10. List the prime factors of h(u).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Which is bigger: d or -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of q**6\/360 + 3*q**4\/8 - q**2. Let t(y) be the second derivative of z(y). Let a(g) = 10*g. Determine a(t(x)).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -10. Suppose 24 = 5*v + t. Solve 0 = -d + 5*d - v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2410, -4812, -7198, -9562, -11898, -14200, -16462?\nAnswer: -18678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12592 is divided by 44?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4352556 + 613707785\/141. Let b = y - -33\/94. Calculate the common denominator of b and 483\/(-45) + (-1)\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**7\/105 + 3*u**4\/8 + 5*u**2. What is the second derivative of r(m) wrt m?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75 - 64) + 0 + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 240.\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 96 = -11*l. What is the remainder when 885 is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*m - 27522 = 0. Let a be (-5)\/(10\/4) - m. Let o be (105\/(-12))\/((-8)\/a). What is o rounded to the nearest 1000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3)*q**(-1\/14)\/q)\/(q*q*q\/(q**6*q)*q**(-2\/15)\/q) assuming q is positive.\nAnswer: q**(713\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -0.2494, -1\/46 in ascending order.\nAnswer: -0.2494, -1\/46, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -42, -31, -4, 45, 122, 233?\n\"Answer: c**3 + 2*c**2 - 2*c - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*n + 11*n + 15*n)*(-8 + 2*n + 8) + 3 + 0*n**2 - 1 - 3*n**2 to the form d + c*n**2 + k*n and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2223 + -2228. Let k(c) = -4*c**2 + 5*c + 8. Let n(g) = g**2 - g. Calculate v*n(y) - k(y).\nAnswer: -y**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6\/7)\/(q\/((q**(2\/11)*q)\/q)))\/(q**(-5)*((q\/(q*((q**(3\/11)*q*q)\/q)\/q))\/q)\/q) assuming q is positive.\nAnswer: q**(431\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 17. Let l(y) = -y**3 - 6*y**2 + 7*y + 4. Let g be l(-7). Suppose 5 = g*o - 3. What is the highest common factor of o and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(132)\/sqrt(4) - sqrt(33)))\/(sqrt(48)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -78072970 divided by 229\nAnswer: -340930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 1. Let u be (-35)\/10 + (-3)\/6. Determine t(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 2 + (-2)\/8. Let w = -1 + 3. Let u = w - -3. What is the closest to 1\/4 in g, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/7)\/(a\/a**3)*(a*a*a*a**(-1)*a)**45*(a**(-2))**(1\/14)\/((a*(a*a**(5\/4)*a)\/a)\/(a\/(a*a\/(a\/(a*a\/(a\/(a**(-2\/11)\/a*a))*a))))) assuming a is positive.\nAnswer: a**(40679\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4645, -4630, -4589, -4510, -4381, -4190, -3925?\n\"Answer: 2*v**3 + v**2 - 2*v - 4646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 1121?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5153130 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**5 - 40452797*z**4\/9 - 60608463035314*z**3\/9 - 3363209506654850664*z**2 + 23542516679543186080*z\/9 + 6726429488853958016\/9 = 0.\nAnswer: -1498252, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17889, 35866, 53937, 72108, 90385, 108774?\nAnswer: 127281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15008, 28664, 42318, 55970, 69620?\nAnswer: 83268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137 + 310*k**2 - 111*k**2 - 118*k**2 + 253.\nAnswer: 81*k**2 + 390","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (-2)\/(((-10)\/(-35))\/1). Solve 7*a = s*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2010 and 2278?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 172669 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3 + 10*c**3 + 16*c + 3 + 3*c. Let a(s) = 3*s**3 + 6*s. Let z(j) = 7*a(j) - 2*f(j). What is the second derivative of z(o) wrt o?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -2. Let a(h) = 4*h**3 - h**2 + 5. Let g(p) = 218*p - 218*p - 3 + 1 - 2*p**3. Determine y*a(x) + 5*g(x).\nAnswer: -2*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -192*l - 11899. Let x be j(-62). Solve -4*o + 16 = -6*h + x*h, -h - 8 = -2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74874 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 8. Let a = s - -7. Differentiate 2 - 4*j**2 - 3 + j**a wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3508*x**2 - 6147 with respect to x.\nAnswer: -7016*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (0 + 3 + 0)*-2. Suppose 4*c - 7 = 3*t - 2*t, -2*t - 4*c + 10 = 0. What are the prime factors of ((-6)\/10)\/(t\/m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*g + 7 = 31, 10 = -5*g. Suppose -q*l + 0 + 55 = 0. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2*y - 4)*(-4*y**2 + 6*y**2 - 3*y**2) + (1801*y**3 - 1255*y**3 + 2880*y**3)*(-4 - 1 + 2) as n*y**2 + x*y**3 + w*y + o and give x.\nAnswer: -10280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -73\/2. Let b = 177.34 - 4.34. Let v = 173.2 - b. What is the third biggest value in -3, v, 2\/9, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 2*q - 8. Let v be l(4). Solve -12*g = -v*g - 12 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2 + 1)*-2 + (-8 - -5))*-4. Let s(d) be the second derivative of -16*d**2 + 4*d**3 - 16*d + 0 - 1\/3*d**i. What is x in s(x) = 0?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**3 + 1. Let r be z(-1). Suppose -r*m - 25 = -10*m. Let b be (m + 0)\/((-3)\/(-66)). What is the greatest common divisor of 22 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -36*k**3 - 2*k**2 - 3*k + 3. What is n(1)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 17*v**3\/6 - 3*v**2 - 6*v + 2. Differentiate o(z) with respect to z.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 11*p**4\/3 + 16*p**2. Let y be k(-1). Let l = -45 - y. What are the prime factors of l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3857 and 1370679?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 230058 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -13*w + 20. Let n be 22 - (8 - (-13 + 4)). Calculate i(n).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2053 + 1448 = 389*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9}. What is prob of sequence dd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -52?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.01 from 1254149505.\nAnswer: 1254149504.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/3 of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 761164 is divided by 444?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1 + (99 - 138 - 671)*(2 + 2 - 2))*(-u**2 - u**2 + 0*u**2).\nAnswer: 2842*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*h + 21*h + 6 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3765 is divided by 1224.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.399157467 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*v - 130*v + 64*v + 27 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**3 - 29*w**2 - 1491*w - 14998. What is f(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 2.11634192\nAnswer: -2.31634192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.728 and 12420.\nAnswer: -9041.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (336\/42)\/(-8)*9\/(-39)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 492*c**3 - 10*c**4 - 247*c**3 - 244*c**3 - 15*c**4 + 106*c**2 + 5 - 7 as h*c + i*c**2 + n*c**4 + u + x*c**3 and give n.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3*g + 0)*(24*g**2 - 24*g**2 - 25*g**3)*(2 - 1 + 1) to the form h*g**4 + p*g**3 + r + l*g**2 + o*g and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**5 - 630*q**4 - 22611*q**3 + 1108224*q**2 - 1084980*q = 0. What is q?\nAnswer: -130, -107, 0, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 12*t - 18. Let u be x(10). Suppose -365 = -u*g + 9. List the prime factors of g.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -29 + 14 + -21 + -41.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y + 1. Let r(s) = -14*s**2 - 24*s - 11. Calculate p(r(a)).\nAnswer: -28*a**2 - 48*a - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 566 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1688 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyiyhhhiehhhhhhhehi. Give prob of picking 1 y and 2 e.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.03 - -0.43. What is the closest to -2\/13 in -4, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1720617 rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 4073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11948 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*(f*f*f**1)\/f))\/f)**(-30)*f**4\/f**(2\/17)*(f**(-1))**(2\/23)*f**(2\/13)*f**6*f assuming f is positive.\nAnswer: f**(513125\/5083)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 29, -0.2, -3\/7, 1\/7 in descending order.\nAnswer: 29, 3\/8, 1\/7, -0.2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-x**2 + 0 + 0) + (-x + 0*x - x)*(-3*x + x + 4*x).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17388 and 39984?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*g - 3*p, -2*g - 4*p + 3*p = 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 0*f - 80. Suppose 4*d + f = g, 5*d - 4*g + 2 + 34 = 0. Calculate the remainder when (-47 - 1)*d\/8 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*r + 30*r + 8*r**3)*(2 + 0 - 4).\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4528 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24134 + 29855. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -3*v**5\/5 - 2*v - 4. What is the first derivative of x(a) wrt a?\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1232, 1251, 1284, 1337, 1416?\n\"Answer: v**3 + v**2 + 9*v + 1221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 x, and 2 u when four letters picked without replacement from {y: 3, b: 5, r: 1, x: 5, u: 4}.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 975844?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1175, 1, 2, -4.\nAnswer: -1175, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39.72493ug to tonnes.\nAnswer: 0.00000000003972493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2 + 1\/(-2). Let l(c) = 7*c - 740. Let o be l(105). Put o, y, 1 in ascending order.\nAnswer: o, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(1\/156*-10). Calculate the highest common divisor of b and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -388209129 - 2*h**2 + 388209129.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 7:36 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwy when four letters picked without replacement from {y: 2, w: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*h**2*m**3 - 3*h*m**3 - 2*h*m + 80*m**3 wrt h?\nAnswer: 16*h*m**3 - 3*m**3 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14764820 by -3691205.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3037048764 less than 33297?\nAnswer: 3037082061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7*m**2 + m + 2. Let h be 32\/48 + 8\/6. Calculate the remainder when o(h) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1670459202?\nAnswer: 2, 3, 17, 37, 147541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 2\/45, -449661, 2?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a year in months?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*4\/((-8)\/(-5)). Let o(r) = -r**3 - 5*r**2 + 4. Let h be o(g). Let t = h + 7. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 5 + -20 - -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/143*(-1)\/((-6)\/(-6))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1702343496 to five decimal places.\nAnswer: -0.17023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117*h*y**2 - 5189249*h*y + 2767819*y**2 - 22*y wrt y?\nAnswer: -234*h + 5535638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 12*v**3 - 603*v**2 - 400*v - 3035. Calculate l(51).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 279705 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -351883*b**2 - 4506932.\nAnswer: -703766*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 18 = -4*x, 5*l + 3*x + 14 = -18. Let g(i) = 4*i + 31. Let d be g(l). Solve -4*c = -2*t + 6, 0 = -2*t + t + d*c + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/351 and 86\/195?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*l**2 + 1200*l - 220.\nAnswer: 5*(l + 22)*(11*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**5\/20 - 3*h**4\/4 - 3*h**3 + 6*h**2 + 2*h + 41. Calculate the remainder when 33 is divided by y(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*j**(-2\/5)\/j)**38*j*j*j**(7\/2)*j**(-22)\/j*j assuming j is positive.\nAnswer: j**(443\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**3\/2 - 2*w - 77. Let s(y) = -3*y**2 + 3*y**2 - 6*y**2. Calculate f(s(a)).\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 602241731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/19 and -43\/3?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**4\/2 + 561*p**3 - 5703*p**2\/2 - 3411*p = 0. Calculate p.\nAnswer: -379, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 230 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/4)\/((-3)\/(-12)). Suppose 0 = -x*t - 3. Let u be t\/(-6) + 236\/24. Solve u*y = 5*y - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6735, -6442, -6149?\nAnswer: -5856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3736764 and 2484?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 16) to base 13\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-five halves of a century?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*t - 34*t - 43*t - 10*t to the form w + l*t and give l.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkxliqi. Give prob of sequence kx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4845 + -6904. Let y = r + 3569. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8578007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 7*t + 9. Let z be f(-7). Suppose 29 - z = -4*r. Let a(v) = v**2 - 5*v + 3. Let y(b) = b**2 - b. Let u(m) = a(m) - 2*y(m). Give u(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -14. Let b(c) = -k*c**2 + c - c - c + 2*c**2. Give b(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + g + 1. Let i(v) = v**2 - 10*v - 40. Let c be i(13). Let u(w) = -1. Give c*k(f) + u(f).\nAnswer: -f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 7*b**2 - 52*b - 4. What is q(-12)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -228.4 + 67. Let q = 161 + o. Which is the second smallest value? (a) -14 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120000010 + 2?\nAnswer: -1120000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12386*l**3 - 140*l**2 - 3*l + 7 wrt l.\nAnswer: 74316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.385 rounded to zero dps?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 5*s + p - 1 = 0, -2*s + 3*p - 4 = 0. Suppose 47 - 8 = 3*o. Suppose -12 = -4*c, -o = -2*x - 7*c + 2*c. Sort -3, s, x.\nAnswer: -3, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + 0.5. Let v = w + -0.2. Let n = 6.9 - 7. What is the second biggest value in v, 5, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 + -52.192. Let x = 0.17 + o. Round x to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(121\/(-165)))\/(4\/(-4)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 33 = 3*m - 22, m + 5*z = -7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*u - 197 + 197)*(3 - 2 + 0)*(-2 + 0 + 3).\nAnswer: 17*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/15)\/((-14)\/35).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27359 and 8032?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 102269249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -1000110110010010010010001?\nAnswer: -1000110110010010010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4606593 weeks in nanoseconds?\nAnswer: 278606744640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 8:13 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33332)\/7051)\/(2\/(-11))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 at most 168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105891630.\nAnswer: 2, 3, 5, 13, 271517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14993118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 = -7*x - 7*x. Let y = x + -24. Suppose y*s - 15 = -3*s. Solve -2*t - 1 = s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.553770075 rounded to two dps?\nAnswer: -1.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 58\/(-87)*99\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -96 + 177\/2. Suppose -4*j + j - 21 = 0. Which is greater: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - v = 4*w - 8, w = -v + 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - a = 38, 0 = -4*g + 2*a - 8 + 56. Solve -5*t = 5*r + g + 21, 6 = 2*r - 2*t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(88))\/sqrt(8) + (-4*(sqrt(11) + sqrt(11)*1) + 0 + sqrt(704))**2.\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 7*b**2 - 12*b + 9. Let y be 4 + 1*(-24)\/3. Let f be (-6)\/((-6)\/y + -3). Let o be g(f). Solve 5*w = 2*w - o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + 2 + -1 + (sqrt(2448) - (sqrt(2448) + 1 - sqrt(2448))*2))*3 + 1 + 4)**2.\nAnswer: 288*sqrt(17) + 88132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41*l - 59*l - 52*l + 166*l - 145 to the form c + r*l and give c.\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*v**2 + 1\/7 + 0*v.\nAnswer: -(v - 1)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwjd when four letters picked without replacement from djejeedewweeejwe?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-60))\/(5\/(-795)) - (-33)\/6.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*f = -16. Let q be 48\/10*(9 + -4). Calculate the highest common factor of q and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 414*a**2*b*o**2 + a**2*b - 2*a*o - 3*b*o + 367*b wrt o.\nAnswer: 828*a**2*b*o - 2*a - 3*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/231? (a) 0.5 (b) 4 (c) 0.2 (d) 15\/398\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**(-1\/7)\/j)*j**1 assuming j is positive.\nAnswer: j**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -15*t**3 + 5*t**2 + 63*t. Let m(x) = 14*x**3 - 4*x**2 - 62*x. Let o(a) = 5*m(a) + 4*w(a). Find the second derivative of o(q) wrt q.\nAnswer: 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198049959 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 + 32080*h.\nAnswer: -2*h*(h - 16040)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9998842 a multiple of 3598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 10*s - 11. Calculate the remainder when x(12) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1312 - -4?\nAnswer: -1308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/5)\/(((-686)\/4459*(-26)\/10)\/6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 + 214*v**2 + 252*v - 67. Determine y(108).\nAnswer: 3821","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/21))**(-14))**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*v - 80*v = 108. Let y = -26 + 12. Sort -1, v, y.\nAnswer: y, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*c - 10*c + 23141 = 12*c. What is the remainder when c is divided by 31 - (-1)\/(1 - 0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38*q*s**3*v - 89586*q*v - 51093893*s**3*v with respect to q.\nAnswer: 38*s**3*v - 89586*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -304. List the prime factors of r.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*t = -129*t - 6556. Let l = -282 - t. Solve 4*q = -l - 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 7, f: 9}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33.7 - 26.7. Put -2, -8\/7, l in ascending order.\nAnswer: -2, -8\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 x when four letters picked without replacement from {g: 11, t: 1, x: 5}?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2. Let b(f) = -2*f - 15. Let p(c) = b(c) + 3*u(c). Let v be p(-14). Calculate the greatest common divisor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 5*y**2 - 2 - y + 3*y)*(-12 - 2*y + 12)*(-1 - 2 + 4).\nAnswer: 10*y**3 - 2*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1953.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -318 + 312. Let o be (-31)\/a + 26\/(-156). Put o, 2, 67 in increasing order.\nAnswer: 2, o, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 716*w - 1015. Give s(2).\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 10 = 0, -7*a + 2*k + 48 = -18*a. Let l(r) = 5*r - 5. Let s(q) = -4*q + 4. What is a*s(m) - 3*l(m)?\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9070, 36275, 81616, 145093, 226706, 326455?\nAnswer: 444340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-20)\/(-49))\/((-280)\/980))\/(3\/42)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*n - 3 = 0, 3*n - 7 + 22 = y. Solve -b = -4*h + 9, 5*h + y*b - 8 = b for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1253?\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -676*-208.\nAnswer: 140608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.98 - 0.02. Let u = 3 + -4. Let v = u + 5. What is the nearest to 0.1 in -0.4, c, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 365*0.4\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18149466 is divided by 9074699?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h**2*n - 2*h**2 - 38*h*n - 30*h + 3728*n - 14 wrt h?\nAnswer: -4*h*n - 4*h - 38*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 2 + 2*b**3 - 5 + 4*b**2 as h + l*b + a*b**2 + r*b**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304 = -4*s + 240. Calculate the highest common factor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p. Let l(d) = -9*d - 79. What is l(h(b))?\nAnswer: 45*b - 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*o = -57, 3*i + 3*o = -0*o + 39. Suppose -i + 12 = h. Suppose -h*t - 48 = -7*t. Calculate the highest common factor of 208 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224 + 224 + 1288198*p - 1288191*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 7*a - 1. Let u be o(-6). Suppose 0 = 3*v, -u*v = d - v - 24. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -9 (c) 1221 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, 65, 38, -9, -82, -187, -330?\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(-24))\/(1\/1224). Let b(y) = -d - 5*y + 612. Let r(n) = 7*n - 4. Let t(f) = 6*f - 3. Let j(c) = -3*r(c) + 4*t(c). What is j(b(i))?\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1516 (base 8) in base 7?\nAnswer: 2316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9417 + 12321 = 132*h for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*x = 5*k - 72*x - 107415, 0 = -k + 4*x + 21492. Round k to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -263.3385 plus 3?\nAnswer: -260.3385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -2, 3, -3, -1, -14 in descending order.\nAnswer: 3, -1, -2, -3, -11, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.7? (a) 0.01 (b) 1 (c) 0 (d) -0.3 (e) -25 (f) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 5. Let q be 5\/10 - 19\/2. Let z be n(q). What is the units digit of (0 - (-18)\/z)*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 745, 426, 35, -428, -963, -1570?\n\"Answer: -36*b**2 - 211*b + 992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u - 5. Let f = -3800 + 3806. Suppose 3 = -2*h + 1. Let n(g) = -1. Give f*n(a) + h*y(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 6*i - i + 38, 0 = -4*f - 3*i - 90. Let p be (-15*2\/(-8))\/((-9)\/f). Differentiate p + 0 + 5 - 20*k**3 - k**3 with respect to k.\nAnswer: -63*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000020851632 rounded to six decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*b = 8*l - 34, 3*l = b + 32. Suppose -i = -p + i + l, 3*p = 3*i + 15. Let j = 2 - p. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6 - 89 + 3 + 11*p. Calculate the remainder when 161 is divided by x(11).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -488*a = -5948 + 1556 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3*r**2 - 17*r - 6. Let y be q(-5). Suppose -2*x - y*d + 1096 = 2*x, -2*x + 4*d = -560. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t + 4. Let g(l) = -l + 7. Let n be g(11). Calculate r(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -1463*v - 31. Let l(x) = 1462*x + 47. Give -2*l(b) - 3*u(b).\nAnswer: 1465*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjfqjml. Give prob of sequence jlq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -9*j**4 - 7*j**3 + 27*j. Let h(l) = -9*l**4 - 6*l**3 + 27*l. Let y(a) = 7*h(a) - 6*v(a). What is the second derivative of y(q) wrt q?\nAnswer: -108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 76068674*d*v**3 + 28*v**3 - 1834*v**2 + v wrt d.\nAnswer: 76068674*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a week in minutes?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61663 is divided by 2458.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1)*i)\/(i\/i**13))**43*(i*i\/(i*(i**(-14)\/i)\/i)*i*i*i*i\/(i\/i**1))**(-1\/16) assuming i is positive.\nAnswer: i**(10299\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a + a + 4*a + (3*a - 5*a - 3*a)*(4 - 1 - 1) + 3 + a - 3.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-2*1))\/(72\/(-72))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 25*s**2 + 696*s + 5611. Determine p(-8).\nAnswer: 1643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 491, 0, -8, 3 in ascending order.\nAnswer: -8, -5, 0, 3, 491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + -58*3\/(-6). Suppose o - 25 = -2*k, 8*o - j = 3*o. Calculate the remainder when 19 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of q**3 - 394*q - 2698 wrt q?\nAnswer: 3*q**2 - 394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1703 and 239551?\nAnswer: 31381181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.3, -12, 1\/4, -2 in increasing order.\nAnswer: -12, -2, -0.5, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 q when two letters picked without replacement from qqqqqmqqqdq.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 52506973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -12769*f**5\/5 - 12317*f**4\/4 + 448*f**3\/3 - 2*f**2 - 4746. Solve z(m) = 0 for m.\nAnswer: -1, 0, 2\/113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(3\/8)*i*i))**(-21))**(-26) assuming i is positive.\nAnswer: i**(-3003\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + 2 - 2)*(-5*t - 2*t + t + (-2*t - t + 2*t)*(-5 + 3 + 4) + 3 + t - 3 - 3 + 2*t + 3 + 0*t + 0*t - 2*t)*(2 - 3 + 0) to s*t + d + o*t**2 and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y + 6. Suppose 3*v = 2*v + 27. Let o = v - 31. Let w(s) = -5*s + 6*s - 3 + 6 + s + 2. What is o*k(u) + 5*w(u)?\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 117 - 4 - 2*d + 33 + 124 - 124 - 10*d + (-3*d + 0*d + d)*(2 + 5 - 5) in the form t + h*d and give h.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 7:30 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 58134 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 288 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 6. Let c be r\/7*7\/2. What is the units digit of ((-3)\/(-3) - c)*-7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 1345?\nAnswer: 16140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.190297 millennia to centuries.\nAnswer: 81.90297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/32 (b) 10\/11 (c) 0.2 (d) -2 (e) -0.2 (f) -3\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, b: 8, h: 9}. What is prob of picking 2 b?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4590.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l - 81. Let o be s(-13). Let j = 26 + o. Put j, 2, -2 in descending order.\nAnswer: 2, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97778.246 rounded to the nearest 1000?\nAnswer: -98000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 612618431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one fifths of a meter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 69 = 2*a + 19, 2*a - 20 = 2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -194.8 rounded to the nearest integer?\nAnswer: -195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**6\/2160 - b**5\/120 + 5*b**4\/144 + 32*b**3\/3 + 10. Let n(l) be the third derivative of x(l). Factor n(c).\nAnswer: (c - 5)*(c - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*r + 35 = -0*w, 3*w - 35 = 5*r. Solve -2*v - w = -4*o, -4*o - 4*v + 6 + 2 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3689 and 1457?\nAnswer: 173383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 1:36 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) -1.3 (b) 0.1 (c) -5 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 3)*(-2*s - 4*s + 7*s) - 2*s - 2*s + s.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 138943363 divided by -5\nAnswer: -138943363\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 610249 (base 10) to base 2\nAnswer: 10010100111111001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2600)\/440)\/(-13) + (-2196)\/2508?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 13*i**2 - 10*i - 38. Let v be (-2 - -1)\/((-23)\/(-92)) + 18. Calculate the least common multiple of w(v) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pyyddwdddpdpwdypdd. What is prob of picking 1 d, 1 p, 1 w, and 1 y?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205 - 191 - 21 + 5*s**2.\nAnswer: 5*s**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 471011 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 12 + ((-96)\/(-12) - 3) + (-2645)\/165.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 964*r**4 - 2*r**3 - r**2 + 2*r + 198*r**4 - 472*r**4 in the form p*r**3 + m + t*r**4 + l*r + w*r**2 and give t.\nAnswer: 690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 779099 to the nearest integer?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2)*(-74)\/(-111)*(-1 - -1). Let x(f) be the first derivative of 28 + y*f**3 - 7\/4*f**2 + 1\/8*f**4 - 3*f. Find w, given that x(w) = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/4569 and 5\/3?\nAnswer: 4569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.06 (b) -1\/4 (c) -9101 (d) 0.4 (e) 10 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/((-22)\/176).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/((u**1*u)\/u*u)))\/u*u*u*u\/u**(1\/9)*u)**34 assuming u is positive.\nAnswer: u**(1496\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 914 divided by -61?\nAnswer: -914\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 22. Suppose 2*j = -4*b + b - 5, 5 = a*b + 3*j. Which is smaller: b or -9\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12.52 in 0.1, 1, -15, -4, 1\/11?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*a + 4, -6*h - 8 = -4*a - h. Suppose 0*q = -a*q + 12. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1081 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2012222 (base 3) to base 13\nAnswer: -977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4874104 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -266190 + 1064763\/4. Let a = -56 + 335\/6. Let d = 0.3 + -0.2. What is the nearest to j in d, -2\/29, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 4*q - 5. Let l be f(4). Suppose 4*w + 20 = 0, 5*t - w + 5 = -0*w. Let o be (115\/46)\/(1\/2). Put t, o, 0, l in descending order.\nAnswer: o, 0, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n - 12. Let z(r) = 1 + 2 - 2 + 1. Let a(w) = -i(w) - 2*z(w). Determine a(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 131066?\nAnswer: -131065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 16*j - 220. Let c be q(14). Let h(t) = -2*t + c*t - 9 + 5 + t. Determine h(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 5. Suppose 17 + 7 = r*l. Let c(i) = 715*i + 78. Let j(x) = 9*x + 1. Let m(d) = -c(d) + 78*j(d). Let a(w) = -20*w. Give l*m(n) - 5*a(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1241834196.\nAnswer: 2, 3, 269, 311, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmkbbmm. What is prob of sequence bm?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -6*f**2 + 15*f - 1193. Let r(u) = -u**2 + 3*u - 3. What is -d(q) + 5*r(q)?\nAnswer: q**2 + 1178","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47.068 - -48. Let u = m - -0.068. What is the nearest to u in 0.05, -2\/3, -3\/2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*f - 9 = -103*f + 3*z, -30 = 4*f + 3*z for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/30)\/(1\/(-10)). Let t(f) = 2 - 5 + 0 + 0*f - x*f. Suppose 5*s - 2 + 22 = 0. Let c(i) = -5*i - 4. Determine s*t(u) + 3*c(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.19 + 2.19. Let i = -0.15 + 0.05. What is the nearest to -8 in -3, o, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301 (base 6) to base 5.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29379?\nAnswer: 3, 7, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 255 + -249. Suppose c*f - 3*f = -x + 212, 2*f = 4*x - 792. What is the greatest common divisor of x and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 10 = 2*g. Find the third derivative of 9*m**2 - 11*m**5 + 5*m**5 - 13*m**g wrt m.\nAnswer: -360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*d + 4. Let k = -2.1 + 2. Sort d, 0.3, k in decreasing order.\nAnswer: 0.3, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5.1 and -2745331310.\nAnswer: -2745331304.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.26 - -46.26. Let c = 12174.0399984 + -12132.04. Let w = c - s. Round w to seven dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -68, 4, 17.8, 3\/2, 5 in descending order.\nAnswer: 17.8, 5, 4, 3, 3\/2, -1, -68","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 32.7 - 32.405. Let j = -14.805 - v. What is j rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 1\/3*j**3 + 0 + 45*j - 27*j**2. Let f be i(29). Solve 0 = -f*q - q - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pipiiipiipip. Give prob of sequence pppi.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from {f: 1, i: 1, j: 2, k: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c - 6. Let z(k) = -6*k + 6. Calculate -3*b(w) - 4*z(w).\nAnswer: 3*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 113*m + 73*m + 286*m - 19. Let v be r(5). Suppose v = 5*q + 2*x, -5*q - x + 1446 = -897. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.6 (b) 9 (c) -1.6 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 4357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84601\/296457 + 16\/2229. Let h = d - -8\/19. Which is smaller: 0.03 or h?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 26\/19, 18, 0.3, -3\/5 in descending order.\nAnswer: 18, 26\/19, 0.3, -0.05, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24.881 + -24.981. Let k = -8 + 4. What is the closest to w in k, -3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.5. Let n = -2.1 - -3.2. Let c = n + s. Round c to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 18 = -1082*u + 1084*u, -25 = -5*u - 5*p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from hnhrhrnnnnrhnhrnprh?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 612.8479km in millimeters?\nAnswer: 612847900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3980 is divided by 285?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i = -4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*c + 16 = 0, -k - 2*c = -c + 24. Let t be 60\/14 + 8\/k. Suppose -57*n = -16*n - 82. Solve t*j + 4*f - 4 = 0, -f + 11 = -j + n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/5 and -20\/6863.\nAnswer: 34315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 3 = -36*m + 130 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (-106)\/(-7049)*-1577?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 578.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnrb when four letters picked without replacement from bcrrbcbccbn?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6311.273l in millilitres?\nAnswer: 6311273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 3*f - 23*f - 103, -27*f + 30*f = 3*w - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - k = -19*k - 55*k + 2*x + 826, -49 = -4*k - x for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/407308 and 139\/1122.\nAnswer: 20772708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 309*c + 279*c - 426*c to the form r + n*c and give n.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05008 + -2.90108. Let d = g + -0.049. What is d rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70417 (base 13) to base 4.\nAnswer: 300332233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 8. Suppose 4*k + t = 15. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 206aeed + 2?\nAnswer: 206b000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06 - 0.14. Let v = 0.3 + a. What is the smallest value in -0.2, v, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243479.\nAnswer: 243479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**7\/175 + 13*d**6\/150 + 31*d**5\/150 - 7*d**4\/3 - 20*d**3\/3 - 4*d**2 - 7. Suppose z(l) = 0. What is l?\nAnswer: -5, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280 = -4*m - 4*b, -2*b - 94 + 72 = -m - 95 for m.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -n + 6 - 30, 0 = -d - 2. Let w be n\/(-6)*(-27)\/(-2). Calculate the greatest common divisor of 684 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k**3 + 64280*k**2 + 259270308*k + 8230958208 = 0.\nAnswer: -8019, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -12, 4, -18, 106248?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 83 = -0*o + 4*o, o = -5*h - 2. Calculate the remainder when 1204\/35 + (-2)\/5 is divided by -1*(-1 + o)\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -568682 divided by -28\nAnswer: 284341\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 52386864 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -15894, -2, 1, 0, 8.\nAnswer: -15894, -4, -2, -1, 0, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2091449.\nAnswer: 2091449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = -4*v + 26. Suppose 5*c - v = 2*d, 3*d - 2*d = -5. Suppose -3*x = 5*y - c, x - y - 6 + 1 = 0. Solve x*p - 6 = 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3+-348.14\nAnswer: -345.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**3 + 8*f**2 - 48*f - 1. Is x(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 188761120?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/63 and -48\/343.\nAnswer: 3087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 24. Let k(b) = 23*b + 35. Let v(o) = -8*o - 12. Let a(c) = 3*k(c) + 8*v(c). Let h(g) = g + 2. Give t*a(x) - 9*h(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w - w + 4 - w + (-1 + 1 + 1)*(5 - 3 - 6)*(13*w - 12*w - 74*w).\nAnswer: 293*w + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -5) + 2 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*v + 8, 0 = -l + 2*l - 2*v + 3. Let x(b) be the second derivative of b**4\/12 - b. Is 11 a factor of x(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 less than or equal to 3.62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73524160.\nAnswer: 2, 5, 229763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4 = 3*o + 4*z, -2*o - 2*z + 8 = 0. Let n(h) = 3*h**2 - 9 - o*h**2 - h + 14*h - 5*h. What is n(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 23 + 9*q - q - 13.\nAnswer: 8*q + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1888 + 4*m + 3884 - 1996 - 2*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*z - 2*z - 66. Let f be (-544)\/(-30) - z\/45. Suppose 0 = h + 4, -f = -2*q + 4*h + 446. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 9955*p. Let z be h(1). Suppose 2*g - 2045 = z. What is g rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**3 - 2*k**2 + 13*k. What is the hundreds digit of f(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -22, -4, 2, -3 in decreasing order.\nAnswer: 40, 2, -3, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(2*1\/10*-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 35 = -5*w, 6*t = 4*t - 4*w + 18. Solve t*u = 3*l + 18, l - 2*l - 16 = -5*u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhe when four letters picked without replacement from {h: 14, e: 4}?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**2 - 3*q + 7. Let a(o) be the first derivative of -o**3 + o**2\/2 - 3*o + 11. What is -10*a(z) - 4*p(z)?\nAnswer: 2*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3298 + 1241 = 1684*g - 513 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - (sqrt(567) - 3*sqrt(567)))**2 + sqrt(56)\/(sqrt(16)\/sqrt(2)) + (sqrt(14)*-1*-3)\/((sqrt(8) - sqrt(2))*3).\nAnswer: 2*sqrt(7) + 5103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -29 + 14 + 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -205*b*g*o**2 + b*g*o + 65*b*g + 3219*b*o**2 + 11800*g*o wrt o.\nAnswer: -410*b*g + 6438*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -2. Let n = 4 + -5. Which is smaller: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 2*s - 14, 5*o + 22673*s = 22668*s + 35 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 10*i**2 + 43*i + 4. Let t(c) = -11*c**2 - 43*c - 4. Give 6*s(q) + 5*t(q).\nAnswer: 5*q**2 + 43*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11057955.\nAnswer: 3, 5, 137, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 1. Let s(l) be the third derivative of -l**6\/120 + l**5\/30 + 6*l**2. Give -s(i) + 2*t(i).\nAnswer: i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 22303213230?\nAnswer: -22303213213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00077755 rounded to 5 decimal places?\nAnswer: 0.00078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2950 - 2946. Which is the smallest value? (a) 1546 (b) r (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w - 4. Let f(c) = 9*c + 13. Let y(g) = 2*f(g) + 7*p(g). Let b = 30 + -33. Let r be (6\/4)\/(b\/6). Give y(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/35)\/(30\/100)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -1\/3 (c) -3 (d) -1\/9 (e) -8\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q. Let r(x) = 87*x**2. Calculate z(r(n)).\nAnswer: -87*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57785 and 947665745.\nAnswer: 8255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -8, -5 in decreasing order.\nAnswer: 5, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -43. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6300198042?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 8:12 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 1234*l**3 + 2*l**2 - l - 983. Let s(r) = -7*r**3 + 2*r**2 - r - 1. Let m(w) = s(w) - y(w). Differentiate m(d) with respect to d.\nAnswer: -3723*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 66 (b) 3 (c) 6\/551 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**3\/5 - 9034*n**2\/5 + 993168*n\/5 - 5394600 = 0?\nAnswer: -4625, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7))**(-32) assuming z is positive.\nAnswer: z**224","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 60 and 167.\nAnswer: 10020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*u - 33*u - 40 = 0. Solve -u*s - 30 = -0*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, u: 1, g: 2, c: 1, n: 3, k: 1}. What is prob of sequence cg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37653 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -342*36\/(-1728) + 2\/(-16). Solve -27*f - q*f - 20*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -9 - 7*p - 4 + 1 - 3*p**2 + 4*p**2. Let h be i(9). Suppose 4*v + 5*o = 4, 3*v - 3*o - h + 3 = 0. Solve -3*k + v = 13 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/38351424 and -103\/2523120.\nAnswer: 191757120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 5843640*v - 1707406422480.\nAnswer: -5*(v - 584364)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/227, 1, -0.06.\nAnswer: -0.06, -2\/227, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -664 divided by 2\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y + 6. Suppose -4*t = t + 30. Let p be c(t). Put 1, -0.4, p in decreasing order.\nAnswer: 1, p, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 763390 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-17)\/(1071\/(-14)) + 4\/(-18). Let u = -12 - -40. Let b = 31 - u. Put p, 2, b, -2 in descending order.\nAnswer: b, 2, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/89, -0.11, -6, -5, 4 in decreasing order.\nAnswer: 4, -6\/89, -0.11, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -110414958, -220829915, -331244872, -441659829, -552074786?\n\"Answer: -110414957*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omoooodoodooooood. Give prob of sequence oo.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 115201612 to the power of 1\/2, to the nearest integer?\nAnswer: 10733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-1))\/(2\/(-2)). Suppose 0 = -19*l + 18*l + 3. Let p(u) = -144*u**2 + l*u + 294*u**2 - 148*u**2. Determine p(f).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + x)*(4*x**2 - 5*x**2 + 4*x**2) - 7*x**3 + 7*x**3 - 6*x**3 in the form q + s*x + k*x**2 + v*x**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/(-8)*(-12)\/(-15). Is (-157)\/a - (-3)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112657009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -58221*z**2. Let b(d) = 18*d + 2. Give b(m(u)).\nAnswer: -1047978*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13665535?\nAnswer: 5, 13, 17, 83, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 7:31 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-20))\/(7*(-3)\/(-15)). Which is the third biggest value? (a) 13\/2 (b) -2\/11 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 350 = -160. Suppose -4*y = 4*s - 598 + 174, 0 = s + 3*y - r. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74660, -74482, -74180, -73760, -73228, -72590, -71852, -71020?\nAnswer: -70100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from {f: 14, n: 4}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28, 41, 62, 91?\n\"Answer: 4*w**2 + w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pummumppmp. What is prob of picking 3 m and 1 u?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 15 = 4*o. Let g(v) = v**2 - 8*v + 20. Let k be g(8). Solve o*t - k = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134431422 (base 5) in base 14?\nAnswer: -143c2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 3*y**6\/7 - 26*y**5\/7 - 499*y**4\/14 + 2614*y**3\/7 - 954*y**2 + 2592*y\/7 - 5478. Let c(v) = 0. What is v?\nAnswer: -8, 2\/9, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 4) + -1 - (1 - 7). Find the second derivative of -34 + 79*t + 2*t**2 + v*t**3 - 80*t - 12 wrt t.\nAnswer: 30*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -455635, -2, 0 in descending order.\nAnswer: 0, -2, -455635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 10 = 30. Suppose p + 547 = d*m + 22, p = -m + 130. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 3957376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {x: 9, n: 7, a: 2}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 101010?\nAnswer: -101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 9270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 64*q - 210. What is the remainder when w(-7) is divided by -22*(6\/(-2) + (-6)\/(-4))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1450*v - 1455*v + 5*w - 15, -5*v - 6 = 4*w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6 = -r - 8, q = -5. Let m(n) = 2 - r + 6 - 16*n**2. Let u(h) = -h. Calculate u(m(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -96013 - -167754. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i - 26*i + 6*i in the form w + a*i and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(5\/3))\/((f**19\/f)\/f) assuming f is positive.\nAnswer: f**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22007023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 37*y**2 - 307*y - 924. Give s(-3).\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.04327532 and 1163928.5.\nAnswer: 1163928.54327532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -0*l + t - 61, -l - 5*t = -1. Let w be (62\/(-4))\/(3\/(-6)). Let v = w - l. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3776, -7442, -11108, -14774?\n\"Answer: -3666*g - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 215 and -175775.\nAnswer: -175560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/2 + 87810*l.\nAnswer: 3*l*(l + 58540)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r**2 - 233*r - 343. Let j be g(-45). Are j and 152\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(38))\/sqrt(2) - (sqrt(19) + sqrt(38)\/(sqrt(20)\/sqrt(10)))) + 4 + (-2 + 1*sqrt(19) - (-5*(sqrt(19) - sqrt(57)\/sqrt(3)) - sqrt(19)))**2)*2.\nAnswer: -30*sqrt(19) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -245 - -455. What is the highest common divisor of 90 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/8 - 27531*h\/2 - 252651987\/2.\nAnswer: -3*(h + 18354)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 216491104 to the power of 1\/2, to the nearest integer?\nAnswer: 14714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39187876.\nAnswer: 2, 7, 13, 199, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -1\/10*w**5 - 1\/2*w**2 - 1\/6*w**3 - 1\/3*w**4 - 6*w + 0. What is the units digit of m(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j**2 - 10*j + 9. Let d be i(1). Sort d, -2, 4, -1.\nAnswer: -2, -1, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - 3\/(1 + -13)*0. Let z be (-1 + 61)*2\/s. Find the second derivative of -z*v + 27*v**4 + 27*v**4 + 34*v**4 - 90*v**4 wrt v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 10*h**2 + 10*h - 11. Let a be g(10). Let z = 160 - a. What are the prime factors of z?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57522 is divided by 4048?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8769 + 3057?\nAnswer: 11826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 3\/7*u**3 + 0 + 6\/7*u**4 - 3\/7*u**5 + 0*u**2 = 0 for u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -13*c + 5. Let t(k) = 1 + 4*k**3 + 10*k**3 - 4*k**3. Let l be t(-1). Let h(z) = -6*z + 2. What is l*h(i) + 4*d(i)?\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(0 + (2 - 1)). Let q be (-288)\/(-80) - 2\/(-5). Suppose 2*w = 4*b - 0*w, 0 = 2*b + 2*w - 12. Solve -14 = -q*t + b*p, -t = -p + i*p - 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 6:05 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15 (b) 2 (c) 5\/4 (d) 32 (e) 581\/2 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((-1 + sqrt(468) + sqrt(468))*-6 - (sqrt(468) + (sqrt(468) - 3*sqrt(468)) + -5 - sqrt(468))))**2.\nAnswer: -960*sqrt(13) + 46864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -273 + 315. Is 41 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 27134.92926918 and 0.4?\nAnswer: 27134.52926918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 186080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 427 + -426. Suppose -3*q + 2*i = 0, 0 = i + 4*i. Solve q = 2*g - g + r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 - k - 4. Suppose -6 = -4*r - 2*p - 12, 2*r + 6 = 2*p. Let v be g(r). Let j(n) = 2*n + 10. Calculate j(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13040 (base 5) to base 13\nAnswer: -606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6*i - 4. Let z(r) = r + 1. Let u be 2\/(-7) + 89\/(-7). Let l = u + 23. Determine l*z(x) + 2*k(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**2 - 1964655474 + 1964655474.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -7)\/1 - 3520\/(-715)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 0)*(0 - 8 + 1)*(-2*p**2 + 3*p**2 + 0*p**2).\nAnswer: 28*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 4*i - 92, h = 5*i + 104 - 131 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 25. Solve 4*v + 18 = 2*l, j = -2*l - 3*l - 2*v - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5 + 23*b**4 - 170*b**3 + 508*b**2 - 648*b + 288 = 0. Calculate b.\nAnswer: 1, 2, 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 divided by -11.\nAnswer: -53\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/18560 and -169\/120.\nAnswer: 55680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - 0.2. Let m = -13 + 17. Which is the nearest to 1? (a) m (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302181?\nAnswer: 3, 11, 9157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q**2 - 45 + q**2 + 44)*(10*q - 19*q - 20*q) to the form u*q**3 + f + d*q**2 + z*q and give z.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 1. Suppose -5*a = -5*w - 735, -q*a + 3*w + 587 = -2*a. Suppose p - a = -26. Calculate the greatest common factor of 24 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, -1\/5, 543\/4, -1962 in ascending order.\nAnswer: -1962, -1\/5, 1.3, 543\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**4 + 2*q**4 - 2*q**4 + (-2 + 2 + q)*(-q**3 + 0*q**3 + 3*q**3) + 3*q**4 - q**4 + 0*q**4 + 3*q**4 + q**4 - 6*q**4 - 2*q.\nAnswer: 3*q**4 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + y - 1. Let k be n(3). Let v = 6 - k. Suppose 51 = s + v. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 761319 times 7?\nAnswer: 5329233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*(sqrt(304) + 0) + 0 - (sqrt(304) + -3*sqrt(304)*1 + -1*-3*sqrt(304)))**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(24\/4) - ((-1315)\/(-290) + -4)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1410 + 1409.9. Let b = -3 + 2.87. Let p = b - -0.13. Sort 2\/7, p, 0.2, m in descending order.\nAnswer: 2\/7, 0.2, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -768, -1102, -1438, -1776, -2116, -2458?\n\"Answer: -j**2 - 331*j - 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 349410.6?\nAnswer: 1048231.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = f. Differentiate f*q**4 - 22 + 19 - 3*q**4 + 0*q**4 with respect to q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(5\/7))\/n)\/(n\/(n\/(n\/(n**(-1\/2)*n)))))\/((n*(n\/(n**23\/n))\/n*n)\/n**11) assuming n is positive.\nAnswer: n**(417\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -169\/8 in -2\/13, -6436, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910269.\nAnswer: 3, 101141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14, 27, 48, 77, 114, 159, 212?\n\"Answer: 4*k**2 + k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**4 + 0*j - j - 58558*j**2 + 58556*j**2 - 8 to i*j + b*j**3 + x*j**2 + v*j**4 + k and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7232 + 3?\nAnswer: 7235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/3 + 1724*g**2\/3 - 388162*g\/3 + 7089640\/3.\nAnswer: -2*(g - 421)**2*(g - 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by -317896?\nAnswer: 7\/79474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -208.19 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14, -2, -34, -88, -170, -286?\n\"Answer: -o**3 - 2*o**2 - 3*o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 10\/18731?\nAnswer: 10\/18731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -139 + 658*r + 241 + 344 - r**2 - 213*r.\nAnswer: -(r - 446)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286 = -28*k + 50 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 a, and 1 u when three letters picked without replacement from fkkkaumfuf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/12 + 23\/4. Let z be d\/(((-9)\/(-6))\/1). What is the second derivative of 5*j**2 - z*j - 2*j**2 + 5*j wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 7*l**2 + 8*l + 2. Let v be r(8). Let f be -2 + (314 + -2)\/v. Factor -17*a**5 + 7*a**2 - 99*a**5 + a**2 + f*a**4 - 64*a**3 + 18*a**5.\nAnswer: -2*a**2*(a - 1)*(7*a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1059712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2 - 3 = 5*x, 0 = -5*x + 3*c - 8. Let m be -3 - (20\/(-5) - x). Solve 0 = f + 4*d - 6 - 2, 4*f + 3*d + 7 = m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/4))**(-3) assuming c is positive.\nAnswer: c**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 801 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -12*y + 12. Let a = 195 - 138. Factor 57*f - a*f - 4*f**2 + y*f**3.\nAnswer: 4*f**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -37. Suppose -p = -i*p + 18. What is the derivative of -3*y + 5 - 5*y + p*y wrt y?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 5*m + 7. Let c(u) = -u**2 + 6*u + 7. Let j(d) = 3*c(d) - 4*o(d). Let p be (-111)\/(-21) - 4\/14. Suppose -g + 2*g - p = 0. Give j(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**2 - 9*f + 2. Let i(x) = x**2 + x - 1. Let o(k) = -g(k) - 2*i(k). Find the second derivative of o(p) wrt p.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794169034.\nAnswer: 2, 227, 1749271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.8 + 0.2. Let h = 1.5 + q. Let j = 585 + -590. Which is the nearest to h? (a) j (b) 4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -1282 in descending order.\nAnswer: 5, 0, -1282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x**3 - 10*x**2 - 10*x + 8. Let p(i) be the second derivative of i**4\/12 + i**3\/6 - i**2\/2 + 759*i. Give 10*p(k) + v(k).\nAnswer: -4*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -7*j. Let l be j - -1 - 1*-3. Solve 4*b - 16 = 0, 4*b + l = -4*v - 0*b for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 3*a + i + 8, 0 = 2*a + i + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*c**2 + 32*c**2 - 35*c**2 + 2*c in the form j + u*c**2 + t*c and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 2 (c) 0.034 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -41, -61?\n\"Answer: -20*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 31834.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132.831*12.\nAnswer: 1593.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108.6 - -34. Let c = l + 81. Let n = c + -6.3772. What is n rounded to three dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -7*h - 9. Suppose -v - 1 = -h*n + n, -5*v = -3*n + 22. Let r be -1 - -4 - (-45)\/(-9). What is the fourth smallest value in -1\/2, v, 2\/7, r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (68\/20 + -1)*15\/2. Suppose 0 = -9*t + 5*t + 16. What is the greatest common divisor of t and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -473620518 divided by 3758893?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1464 and 21557400.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2140 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1439749 and 6.\nAnswer: -1439743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 10 = -7*i. Does 4 divide 2\/(i*5\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6 = 2*j, b - 4*b = 2*j - 14. Suppose 4*r + 3*d - 115 = 0, b*d - 5 = 3*d. Suppose q + 0*q = -2*k + 13, q = -5*k + r. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - x**2 + 2*x + 2. Let s be k(-2). Let i = -0.6 - -0.1. Let r = -1.5 + i. Which is the second biggest value? (a) s (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68251220 and 10237683.\nAnswer: 204753660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2783 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-9) + (-266)\/63. Let n(c) = c**3 - 3*c**2. Let f be n(3). Suppose 13 = 4*s + 5*q - 0, f = -2*s + 3*q + 1. Put -1, s, v in ascending order.\nAnswer: v, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -50034*o**2. Let f(r) = 5*r**2. Determine d(f(l)).\nAnswer: -1250850*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/525 and 103\/10605?\nAnswer: 53025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**8\/1680 - b**7\/840 - b**6\/60 - 61*b**3 - 18. Let r(c) be the third derivative of o(c). Suppose r(d) = 0. Calculate d.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28553 + -28547. Solve -4*q - 5*a = -30, 7*q - 2*q - a + i = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 14*s + 3. Let y be j(16). Calculate the greatest common divisor of y and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4197 - 146908\/35. Let q = 17\/35 - f. Solve -6*z**3 + q*z - 40\/7*z**2 + 4\/7 = 0 for z.\nAnswer: -1, -2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4\/13, -3\/2, 1\/11, 144280, 1\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45008 - 45092) + 72 + 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o**3 + o**4 - 5*o**4 - 3*o**3)*(56 - 32 - 25 + (-1 + 1 - 2)*(-2 - 3 + 3)) as w*o**2 + l*o + s*o**3 + b*o**4 + x and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -50463 and 15.\nAnswer: -756945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2212110222210 (base 3) to base 4.\nAnswer: 11310111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*n**3 - 5*n**4 + 405*n**2 - 4*n - 56*n**3 + 412*n**2 + 28*n**3 - 824*n**2 as q*n**4 + w*n**2 + l + s*n**3 + a*n and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90 + 21. Let n = -69 - k. What is the second smallest value in 3, -19, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4533950.\nAnswer: 2, 5, 90679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2316 + c**4 + 3*c**3 - 2*c**2 + 570 - 3*c**3 as p*c + t + a*c**4 + o*c**2 + s*c**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5\/4)\/i**(-6))**24\/(i**5\/(i**(1\/3)*i))**(-33) assuming i is positive.\nAnswer: i**235","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**5\/t*t*t\/(t\/(t\/t**(-4)*t)) assuming t is positive.\nAnswer: t**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - h + 165 = 0, -p + 32*h + 44 = 30*h. What is the remainder when 949 is divided by p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, 0.2, -0.054?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 147, 132, 107, 66, 3, -88, -213, -378?\n\"Answer: -h**3 + h**2 - 11*h + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 1)\/((-1)\/38*-2). What is the highest common divisor of l and 779?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddhdyhxididxdhh. Give prob of picking 1 i, 1 y, and 1 x.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)*3*-2)\/sqrt(6) + sqrt(80) + 1 + sqrt(5) + sqrt(90)\/sqrt(2))**2.\nAnswer: 4*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 243*b - 238*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -5 and 1530495 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/659190 - -55905904\/65919. Let a = c - 851. What is the common denominator of a and -83\/147?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvnvvjjvnj. What is prob of sequence jv?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -134*z**4 - 234*z**4 - 9*z + 366*z**4 - 15 + 17*z**2 in the form h*z**4 + a*z + r + l*z**3 + q*z**2 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h - 17*h + 27*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 + -41. Solve 3 - n = -d, 3*t = -d - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 325542.4 grams?\nAnswer: 325.5424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**4\/12 - a**3\/2 + 5*a**2\/2 + 3*a. List the prime factors of j(5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.16, 0, -4, -3, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -4 (c) -20\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 3:58 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 308192814851 from 339.\nAnswer: -308192814512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, 8\/135, 0.05, -1\/4, 0.2 in decreasing order.\nAnswer: 0.2, 8\/135, 0.05, -1\/4, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 0.3, -1\/3, -351?\nAnswer: -351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**2 + 6*f + 13. Let z(q) = 3*q**2 - 4*q - 9. Determine -5*p(n) - 7*z(n).\nAnswer: -n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 - -5a?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/5)\/10*-6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 9*l**2 - 8*l + 7. Let p = -7 + -46. Let g = -45 - p. What is o(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 1 - (-1 + 1). Let g be (-2)\/(-1*12\/42). What is the second derivative of -10*r + 7*r + g*r**2 - 6*r - c*r wrt r?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*-21*(-4)\/12. Let l = 6 + a. Let z be 9\/l*(-1 + 100). What is the greatest common divisor of z and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*j = 0. Which is the third biggest value? (a) -0.5 (b) -2 (c) j (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -271852, -543704, -815556, -1087408?\n\"Answer: -271852*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 3*m**2 - 1. Let a be z(2). Let y be (a\/(-6))\/((-8)\/48). Solve 5*v - y = 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*i**2 - 3*i - 2 + 8*i**2 + 0)*(-4*i + 12*i - 6*i + 13).\nAnswer: 2*i**3 + 7*i**2 - 43*i - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1823 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + w = -4*w + 76, -f - 3*w - 16 = 0. Is ((-6372)\/(-9))\/((-3)\/f) + 6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2780 - 2?\nAnswer: -2782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 - -52. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - 12 - (6 + (-10 + -6 - -1))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.572594608 - -51.572597308. Let b = m + -51. What is b rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/4))**45*y**(-3)*y**(-4)*y*y\/((y\/y**(-1))\/y)*y*y\/(y**(-5)*y)*(y\/((y\/(y*y**(2\/5)))\/y))\/y**(-2) assuming y is positive.\nAnswer: y**(-137\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 13800, 12, -3, 54.\nAnswer: -3, 1, 12, 54, 13800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339313779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05591508 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3641066005 to the nearest integer?\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10330032 (base 5) to base 15\nAnswer: -1b747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 - 2 + 2)*((-5 + 1 + 2)*(h + 4*h - 3*h) + 3*h - 3*h + h + (0 + 0 + 2*h)*(0 + 0 + 2) + 2*h - h + h).\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*((2 - -4) + -7). Which is the third smallest value? (a) -0.4 (b) 0 (c) s (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 25\/(-15)*18\/(-15). Suppose u = 1 + g. Find the second derivative of -6*a**4 - u*a - a + 3*a wrt a.\nAnswer: -72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - x. Let o be (1\/(-2))\/(3\/(-6)). Let s(f) = f + 1. Let g(i) = o*s(i) + 2*c(i). Let v be g(-2). Calculate the highest common factor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*l + 4. Let t be 4 - (3 + (-3 - l)). Solve 5*p = 2*r - 1, -r = -2*r + t*p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(10) - (sqrt(1440)*-5 + sqrt(1440) + sqrt(1440))))\/((sqrt(2) - (-1*sqrt(18) + sqrt(18)))*6))**2.\nAnswer: 6845\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 5*j + 2*j)*(8 + 3 - 4)*(0 + 0 - 1).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125093?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 9*n - 3. What is c(-4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -364459336*i**5 + 173957187*i.\nAnswer: -7289186720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15892*v**5 - 2*v + 10449 wrt v?\nAnswer: -317840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 898*n - 17 + 17 - 899*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4 + 0 = -i, -20 = -2*i - 2*d. Let z be i\/18 + (-1)\/3. What is the fourth biggest value in 4, 1, 2\/9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 2*j**2 + 3*j**2)*((1 + 1 - 1)*(-2 - 1 + 5) + 4 + 8 - 11).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 559923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j - j + j)*(466*j**2 - 114*j**2 - 1972*j**2) as s*j + n*j**2 + b*j**3 + d and give b.\nAnswer: 1620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 144, -414, 1, 8 in increasing order.\nAnswer: -414, 1, 8, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6416951?\nAnswer: 41, 156511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22330755 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 10*n**2 - 4*n - 4. What is the tens digit of f(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*(-135)\/(-105)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = 31*h + 67 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -42.00468. What is m rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*z**2 + 24*z**2 - 32*z**2 - 14*z**3 in the form f*z + n + x*z**3 + t*z**2 and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 11:38 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-2\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 20*m**2 + 0*m**3 + 4*m**2 + m**3 - 35*m**2 to the form v + o*m + t*m**2 + i*m**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 6)*(-3*p**2 - 2*p**2 + 4*p**2 + 1).\nAnswer: 8*p**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208042276.\nAnswer: 2, 13, 4000813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 10*w**2 + 10*w - 16. Determine n(11).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -84212 + -25?\nAnswer: -84237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - v = -15 + 99, 4*g - 117 = 3*v. Is g a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s - 7. Suppose 3*w = -v - 4*v - 1159, 0 = -5*w + 2*v - 1973. Let a = w - -398. What is u(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -3484, -1\/5 in ascending order.\nAnswer: -3484, -4\/7, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-1*1*1400\/5000*(-150)\/280.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 0.26, -22, 0.2, 8, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -655 + 1090. Suppose 0 = 5*z - 3*y - j, -345 = -4*z + 3*y - 0*y. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 140 = 9*x. What are the prime factors of x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q = -14*q + 5*w - 27, 2*q + 3*w - 17 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 585 and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 k when four letters picked without replacement from {o: 2, k: 2, i: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 14*u**2 + 2*u + 2. Suppose 24 + 16 = -2*q. What is the remainder when f(14) is divided by 32\/q*(-11 + 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 10*r = -7, 12*r - 3 = 15*r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*m + 97 = -189, 0 = m - 2. Let h = -24 - 84. Calculate the remainder when z is divided by h\/63*21\/(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 7 = -2*h. Let z(g) = -217*g**2 - 4*g - 3. Let d(o) = 108*o**2 + 2*o + 1. Let c(f) = 7*d(f) + 3*z(f). What are the prime factors of c(h)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q. Let d(o) = 10*o - 19*o + 3*o. Give t(d(a)).\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 8:20 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/145 (b) 5 (c) 0 (d) 18 (e) -201 (f) -0.27\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -2. Do -5\/13 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1393.\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229 - 346 = -58*h + 289 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 8:24 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnb when three letters picked without replacement from aohbjohbobnhhhobha.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134 + -3221030?\nAnswer: -3221214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from {a: 1, r: 3, k: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 5*u**4\/3 - 7*u**3\/6 + 5*u**2\/2 - 82*u + 2. Let f be n(1). Solve 4*g + 5*s + 3 = 0, 0*s + 2*s = 4*g - f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 8*y**2 - 30*y + 181. Does 15 divide m(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001971 rounded to 7 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 11 - 39. Suppose r*n - 117789 = -7*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26368)\/9888)\/((-1)\/(156\/(-16))).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 4*c - 29 = -21, -2*c = 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(13) - (-2 + sqrt(13))*4)**2 + -2)*-3 - (-1 + ((sqrt(1053) - (sqrt(1053) + -6*(sqrt(1053)*-1 + sqrt(1053)))) + sqrt(1053) + -1 + 4)**2).\nAnswer: -1598 + 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 = 5*f + 14, 5*y + f = -29. Let u(b) = -2*b - 1. Let m be u(y). Let s be (5 - 4)*1 + m. Solve -s = -3*w + w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6506 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 308 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + 681524b?\nAnswer: 6815244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7155244 and 24.\nAnswer: 42931464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a tonne in kilograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4439 is divided by 120?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 198 - 197.9699. Let q = -40.6699 - x. Let v = q + 41. Which is the fourth smallest value? (a) v (b) -0.3 (c) 2\/7 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*u + 100*u - 198*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j - 3*j + 2*j)*(-109 + 41 - 274)*(0*j + 0*j + 3*j**2) in the form u + k*j**2 + a*j + p*j**3 and give p.\nAnswer: 1026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 3*o + 6, 4*o - 15 = -i. Suppose -2*t = 11 - i. Let f = t - -41. What is the remainder when f is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 16 = 4*c, -13*c = -12*c - 4*i + 19 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-340)\/(-51)*(-8925)\/(-500)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*j**2 - 2*j**2 + 7*j**2 + 2*j**2 - 55*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 177 = -937. Let s be (-2)\/w*2*-5. Which is bigger: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25 - 4 + 14)*(2*a + 0*a - 3*a) + (3 - 3 - 2*a)*(-1 - 3 - 1) as v + c*a and give c.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n - 122. What is a(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 10*x + 1. Let o be i(2). What is the highest common factor of o and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 23. Let p(h) = h. Let v(n) = -d(n) + 4*p(n). Let t be v(-5). What is the units digit of -3 - (-30)\/t - 241\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.2, -22, 20?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -162, 0, -3 in descending order.\nAnswer: 0, -3, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-452)\/48 - 1 - (-27)\/9 and 71\/232?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1029 + -699. What is the highest common divisor of 30 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence raa when three letters picked without replacement from {a: 5, z: 5, r: 1, c: 1, g: 5}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.58.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 617459189.07 and 24.5.\nAnswer: 617459213.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(-12) - (-22)\/8. Suppose 0 = 2*z + c*p - 16, -4*z + 27 = 2*p + p. What is the lowest common multiple of (-15 - (-2 + z))\/(-1) - -2 and 56?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/4 + 2571529*m\/2 + 15429165\/4.\nAnswer: (m + 3)*(m + 5143055)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2.32 * -2.48\nAnswer: 5.7536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 161, -4, -1142 in increasing order.\nAnswer: -1142, -4, 11, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14758 and 1081?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178248302.\nAnswer: 2, 89124151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 277 - 389. Let l = -1006\/9 - k. Which is the closest to 0.1? (a) l (b) 2\/17 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136838 - 136838 - 13*v - 2*v - 10*v.\nAnswer: -25*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -312305 + 331021?\nAnswer: 14312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318 = -2*o + 3*u, 5*o - 809 + 33 = -2*u. Suppose -15*i = -2*i - o. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 8*s + 4. Suppose x + 3*x = 5*v - 55, 4*x + 13 = -v. Let c be j(v). Let q = c + 16. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1339248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8576.791 weeks in microseconds?\nAnswer: 5187243196800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*(-51 + 15)\/(-9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2275*n - 25525. Give s(11).\nAnswer: -500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 28 (base 9) to base 11\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dubldbccccb. Give prob of sequence ul.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -56928.44 rounded to the nearest 10?\nAnswer: -56930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k - 15. Let s be l(5). Let x = 101 - 69. Suppose -5*n - c + x = c, -s*n + 60 = -5*c. Solve -4*r + n = -8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15*(-2)\/((-2)\/1). Let a be (1 - 2)*(4 - -6). Let u = l + a. What is the greatest common divisor of 15 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 17*t + 15. Give h(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**3 + 7*r**2 - r - 1. Suppose 3*v = 6*v + 12, 4*a - 5*v = 8. Suppose 5*l - 135 = -0*l. Calculate the remainder when l is divided by s(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + (4 + -2)\/(-2). Let y be (-6)\/(-13)*s\/(-12). Which is the third smallest value? (a) -5 (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/4)\/((-141)\/(-188))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**3 + 4*p**2 - 6*p - 2. Let r(j) = -j**3. Let z(g) = q(g) - 4*r(g). Let m be z(-4). Suppose -2*w + m = -110. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(2*sqrt(640)).\nAnswer: sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7.651, 3403, -2\/3, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 69539*y**2 + 8 - 7.\nAnswer: 69539*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2\/5, 1, -5, 105\/19, -3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 + 17*j**4 + 15*j**4 + (-4*j**2 + j**2 + 0*j**2)*(5*j**2 + 3*j**2 - 3*j**2).\nAnswer: 19*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -2 + (2 - 0). Let d = 2.8 - 3. Let s = d + 0.1. What is the third biggest value in 0, v, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253, 1013, 2289, 4087, 6413, 9273?\nAnswer: 12673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*t + 2*s - 6*s, t - 21 = s. Let q be (4\/8)\/((-2)\/(-8)). Calculate the greatest common factor of t and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 2\/9 (c) 0.029 (d) 4 (e) -47\/4 (f) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008359 rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 464017184 a multiple of 499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73166696?\nAnswer: 2, 31, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 171\/668 >= -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 810 and 60?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 4218766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 3*c + 9. Suppose -c*j + j + 5*z + 5 = 0, 5*z - 10 = -j. Solve 0 = d - 2*n + 5, -j*d - n = 4*n - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 249*h + 52537. What is a(-211)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1204 (base 9) to base 5.\nAnswer: 12040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 + 3*n - 23. Let q(t) = -3*t**3 - 7*t + 48. What is -5*b(m) - 3*q(m)?\nAnswer: -m**3 + 6*m - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 11*p**2 + 3*p + 19. Let m be q(-11). Let d be 14 + m - (-1 + -3). What is the derivative of -1 - 116*r + 116*r - 4 + r**d wrt r?\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 8 - 6*q**2 + 7*q**2)*(-501*q + 38 - 40*q - 38) to the form z + n*q**3 + x*q**2 + y*q and give y.\nAnswer: 2705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 2*k - 470 = 0. Let y = k + 643. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1173 divided by -23\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -2*v + 5*v. Suppose -p = -10 + v. Let a be 3*(0 - (-5)\/p). Solve a*z + 4*u = -30, 2*z - 5*u - 33 = 6*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(156) - 2*sqrt(156)))\/(sqrt(588) + sqrt(588)*4 + sqrt(588) + sqrt(588)).\nAnswer: -5*sqrt(13)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 3. Let p be 5 - (-1 - 1)\/r. Suppose 4*y = 8, 0 = p*x - 4*y - y - 126. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118692269?\nAnswer: 89, 1333621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2 + 5 + 4*q - 11 - 4*q**2 + 5*q**3. Let d(f) = -4*f**3 - 3*f + 5. Let n = 5 + 1. Suppose -4*x + 2*x + n = 0. Calculate x*c(h) + 4*d(h).\nAnswer: -h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 268*s**3 - 2143*s**2 + 23*s - 244. Calculate p(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*o - 12 = 0. Let x be 14*(9\/o)\/3. Let c = 12 + -20. Does c = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 226.06581 months?\nAnswer: 0.0188388175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 6 - 9 = 0. Let t(q) = 2*q - 5. What is the remainder when t(5) is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 90 + 50. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 93901032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 5. Suppose -z = -2*z + c. Suppose b = 5*a - 37, 5*a + 3*b - 64 = -z. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c + 5 + 2*c - c - c. What is the remainder when h(-6) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104243299.\nAnswer: 9067, 11497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/28)\/(d*d\/(d**(-6\/5)\/d))*(d*d**(-17))\/(d\/(d**(2\/7)\/d)) assuming d is positive.\nAnswer: d**(-439\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/56 and ((-2196)\/(-14112))\/61 - (0 - -1)\/4.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z - 5 = 0, 3*z - 29 = -4*p. Suppose -4*g = -0*g - p. Suppose g*i - 39 = i. What is i rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -30. Let b = d + -9. Let t = 5 - 1. What is the remainder when t is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqfoofqofffq. Give prob of sequence ofoo.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 223035283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/10*65\/78\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*r**3 - 52690*r**2 - 286414*r - 113070.\nAnswer: 2*(r - 3769)*(r + 5)*(7*r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3230879?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6507.133 - -6501. Let o = c - -6.1. What is o rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.425 + 0.125. Let y = -102 - -100. Which is the nearest to y? (a) -0.4 (b) h (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*v**3 + 85*v**2 - 351*v**2 + 122*v**2 to a + i*v**2 + f*v + u*v**3 and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.76 + 12. Let t = i - -0.66. Round t to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 108 = -4*l - c, -2*c = -4*l + 96. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -2\/3*l**3 - 4*l + 0 + 1\/12*l**4 - 7\/2*l**2. Determine x(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-181836)\/50510*15\/(-729).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3978*z**2 + 44387*z wrt z.\nAnswer: -7956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 33 - 30 - 2*z**2 to n*z**2 + u + s*z and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438 is divided by 184.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r + r**3 - 7 - 5*r + 63.\nAnswer: r**3 + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98.51, -1\/2, 0 in decreasing order.\nAnswer: 0, -1\/2, -98.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21745595 is divided by 324561?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 u when four letters picked without replacement from ookkuuoooooooouooooo?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -2*n**3\/3 + 80*n. Let d(s) = -16*s. Give d(f(j)).\nAnswer: 64*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 0, -4*s - 18 = 4*m - 26 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10480220 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4\/7 - 18*n**3\/7 + 46*n**2\/7 + 18*n\/7 - 44\/7 = 0. What is n?\nAnswer: -11, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i - 5*i + i)*(-3*i**2 + 4*i**2 - 2*i**2) - 4 + 17*i**3 - 5*i**3 + 2*i**2 - 34*i**3 to u*i**3 + a*i**2 + r + g*i and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -809.394 and -1.\nAnswer: -810.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 9. Let a = -11.3 + 9.3. Let o = 352.6 + -353. Put c, -1.9, o, a in descending order.\nAnswer: o, c, -1.9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = a - 38. List the prime factors of a.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50639 - 28849. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/33 and 35\/267468?\nAnswer: 2942148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -905*a + 9 = i + 2*i - 906*a, -5*a = 3*i + 63 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + sqrt(1053))*1 + ((sqrt(1053) - (3*sqrt(1053) + sqrt(1053)) - sqrt(1053)) + sqrt(26)\/sqrt(32))*1)**2.\nAnswer: -1615*sqrt(13)\/2 + 1356677\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/229786 and -97\/12.\nAnswer: 1378716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -182.\nAnswer: -36.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 388206746192 from -0.2.\nAnswer: -388206746192.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 6*t**4 + 225*t**3 + 57*t**2 - 2025*t - 999 = 0.\nAnswer: -37, -3, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/3*(-9)\/(-6). Let j = d - 6. Suppose 14 = 2*o - 2*z, -o - o = -4*z - 24. Solve -c + 5*r - 2 = 0, r - 5 = o*c - j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 151 - 839 = 0. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 2*b = 50. Let d = b - -6. What is the least common multiple of d and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 408? (a) 18 (b) 4 (c) -6 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 26\/3 (b) -1 (c) -2\/9 (d) -18 (e) 11\/192\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-286)\/(-30) - 10)\/((-50)\/(-90)*(-3)\/5)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o + 40. What is the remainder when 27 is divided by n(13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 91734, 91735, 91736, 91737?\n\"Answer: g + 91733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/709398 and 121\/43848.\nAnswer: 19863144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2391 and 24?\nAnswer: 19128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1165536 + -2526802?\nAnswer: -3692338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - (2 + 5 + -2)) + 212 + -217.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2. Let y(x) = -89*x - 3. Let p(h) = -22*h - 1. Let r(t) = 9*p(t) - 2*y(t). Give r(n(m)).\nAnswer: 20*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.7 + 6. Sort -6, -0.4, y in ascending order.\nAnswer: -6, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 3\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, v: 2, y: 7}. Give prob of sequence vw.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 2:42 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -9*x**2 + 32*x - 63. Let r(y) = -2*y**2 + 7*y - 15. Let n(j) = -3*i(j) + 13*r(j). Give n(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) -4 (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*k - 2118 = 3823, 0 = 5*f + 4*k - 5949. Does 41 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 12, j: 2, x: 4, g: 1}. Give prob of picking 2 c.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6 = -0. Let b be (d\/(-4))\/(3\/(-6)). Let x = b + 1. Solve 4*s + x + 12 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 z when two letters picked without replacement from {e: 3, z: 3, g: 1, m: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 4:48 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -31700?\nAnswer: -31703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from adadaaaaudd.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -13*x - 5. Let v(m) = 2*m + 2. Let u(j) = 2*v(j) + z(j). Let k(a) = a. What is 4*k(r) + u(r)?\nAnswer: -5*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 - 13*k**2 - 39*k - 254. Calculate the remainder when 4623 is divided by r(-7).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1.4. Let h(i) = -i - 4. Let l be h(-6). Do n and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5404304 and 14416?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*(0 + sqrt(405)*-1 + -5 + (sqrt(405) - (2 + sqrt(405) + -1 + sqrt(405) + sqrt(405)))*-6)**2.\nAnswer: -245033 - 990*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/2, 0, 3\/4, 2828, -21, -2\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/((-6)\/2) + -2. Suppose 4*g - h*b + 2*b = 14, -5*g + 13 = 2*b. Determine n, given that 0 + 0*n**g - 2\/3*n**4 + 2*n**2 - 4\/3*n = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*d - 26*d - 128 = 0. Solve -d*b = 4*b - 40 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l**4 - 1428*l**3 - 97434*l**2 - 1429812*l - 465831 = 0.\nAnswer: -27, -1\/3, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 963 and 13619709?\nAnswer: 963","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 1225.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*(y\/(y*y\/y**(-1\/4)*y*y))\/y)*y*y\/(y**1\/y))\/(y**(1\/9)*y*y**(-2\/19)*y))\/(y**(-8)*y**0)**(2\/115) assuming y is positive.\nAnswer: y**(423449\/78660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a + -44b4156?\nAnswer: -44b4163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1111461.\nAnswer: 3, 13, 28499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -145453*i**2 - i - 219650 wrt i?\nAnswer: -290906*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 8*x + 1. Let d be y(8). Suppose -r = 4*h + d - 12, -4*h + 17 = -5*r. Let s be (-8)\/h*(-1)\/(-4). Which is smaller: 2\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 75327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 646 and 313400117.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from qsddrssrrqr.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 0.08, -5, -0.1, 3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 707*u - 66934 = 1653*u + 883*u - 8406 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13.1 (b) -1.1 (c) 0.238 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5 - 15. What is the third derivative of t*p**6 - 2*p**6 + 3*p**2 - p**2 wrt p?\nAnswer: 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b*x**2 + 9913*b*x - 15*b - 3466*x + 7002964 wrt x?\nAnswer: 2*b*x + 9913*b - 3466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36 - 102 - 14*y**3 - 144 - 6*y**2 + 6*y**2 wrt y?\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6012, 18714, 44794, 90942, 163848, 270202, 416694?\n\"Answer: 1115*n**3 - n**2 + 4900*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1118*r + 904. List the prime factors of y(13).\nAnswer: 2, 3, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 855, 181, -567, -1383, -2261, -3195?\nAnswer: -4179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from auypeuryueay. Give prob of sequence uey.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -13825*n + 483832. Give v(35).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = q + 29. Let n = 6145 - 6070. Calculate the highest common divisor of q and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirteen quarters of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 513850 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-7))\/(12\/(-42)). Let k(q) be the second derivative of 0 - 1\/2*q**2 + 1\/6*q**3 - 10*q. What is k(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 203498610 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*1 + -1 + 4 + -4*6*(0 + sqrt(13)) + 0.\nAnswer: -23*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 239.5 and -491089108.\nAnswer: -491088868.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/((-235)\/705)*(-2)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n**2 + 7855 + 4020 + 26*n**2.\nAnswer: 11*n**2 + 11875","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -673927, -673950, -673973, -673996, -674019, -674042?\n\"Answer: -23*g - 673904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8089257?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, 285, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.84 + 3.84. Sort f, 1.3, 5\/2 in decreasing order.\nAnswer: 5\/2, f, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeevveeeeeeoeeevo. Give prob of picking 2 o.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10036, 13890, 17746, 21604, 25464, 29326?\n\"Answer: z**2 + 3851*z + 6184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*q - 55*q = -5*r + 30, -r + 6 = -18*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.025 - -2.975. Let u = -15 - -10. What is the third smallest value in i, -1, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*k + 2*t - 690, 9*t - 27*t + 178 = 3*k - 6*t - 14*t for k.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6947\/60 + -449\/4. Find the common denominator of -73\/170 and u.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61 + 65. Suppose -y*z = -5*a, -z + 2*a = 4*a. Solve 3*x + 12 = -3*o - 0*x, -5*o - 2*x - 20 = z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c = -5*c + 2*c + 216168. List the prime factors of c.\nAnswer: 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 3*b + 15 = 0, v - 5*b + 9 + 8 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 180 = 4*q, 4*a + 214 = 5*q - 0*a. Let j = -13 + q. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 276.1 - 276.9. Which is the second smallest value? (a) 1\/2 (b) -5 (c) z (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 10 = -m + 7*m - 8, -11*m - 96*j = -95*j - 33 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4248, -4250, -4252, -4254, -4256?\n\"Answer: -2*t - 4246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x + x + 11 - 6*x. Let m be p(6). Let g(d) = d**3 + 11*d**2 + 11*d + 14. Is g(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116078 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*q - 44*q - 15*q)*(-2*q**2 + 0*q**2 + 3*q**2).\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -11*d**5 + 153*d**4 - 579*d**3 + 239*d**2 + 702*d - 504 = 0.\nAnswer: -12\/11, 1, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 32378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -1. Suppose 3*a - i + 5*i = 31, 0 = -5*a + 3*i + 13. Suppose -j + 2*j = a. Put -1, j, p in descending order.\nAnswer: j, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116350\/4296*30\/(-100)*-2.\nAnswer: 65\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 908 - 538. Let h(g) = 185*g - 1100. Let x be h(6). Suppose 20*i + x - c = 0. What is the remainder when 143 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 2:59 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 12:02 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4581 = -2*f + 5*v, -3*f + 4560 = 2*v. Is 27 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5757, -5352, -4947, -4542, -4137, -3732?\nAnswer: -3327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 20, -2\/9, 4995, 0.4, 5, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*j - 3. Calculate the remainder when (-1 + -97)*j\/(-2) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 1.051, -0.16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 - 17355*k - 587794. Give t(-34).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -47*l**3 + l**2 + 4*l + 5. Let k be j(-2). Let q = -594 - -1182. Let n = q - k. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -26 + 95 + 24*x + 119. Let u be n(-8). Sort u, -5, -3, 4 in ascending order.\nAnswer: -5, u, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/1222 and -33\/20?\nAnswer: 12220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.557988 rounded to one dp?\nAnswer: 36.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (12 - (8 - 1)) + 13?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/6 + (-2)\/6. Let w(n) = -241 + 242 - 6*n - 3*n**2 - 4*n**2. Let i(z) = -6*z**2 - 6*z. Let q(g) = -6*i(g) + 5*w(g). Determine q(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-8 + -2)) + -14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3150 divided by -315.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1)*k)**(11\/3)\/(k**(-1))**15)\/((k\/k**(1\/3)*k*k)**(-2\/9)\/(k*k*k*k*k**(-1\/8)*k*k\/k**4)) assuming k is positive.\nAnswer: k**(3773\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -10. Suppose -43 = -7*m - 323. Calculate the remainder when m\/(-3)*36\/24 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 485015853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -937*k**5 - 12643*k**3 + 9001*k**2 - 3*k - 52?\nAnswer: -56220*k**2 - 75858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d + 209. Let v(y) = 6661*y. What is v(q(s))?\nAnswer: 39966*s + 1392149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4915.6 + -4542. Let x = j - 373. Let y = 6 + -6.4. Which is the nearest to -1? (a) y (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-3)\/(-4) - (-60)\/(-48))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1305299 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3024324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104)\/364 + (-310)\/(-56))*4\/14.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 134501202 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 43*s - 11. Let f(h) = -11*h + 3. What is -22*f(v) - 6*t(v)?\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -6\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 684 and 261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -162918000 to the nearest 100000.\nAnswer: -162900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -13*u + 2. Let n(v) = -12*v + 2. Determine -3*a(y) + 4*n(y).\nAnswer: -9*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 + -26. Suppose -f + 11 = -2*o - 6*f, 3*f - d = 2*o. Let h be ((-15)\/6)\/(o\/(-6)). What is the closest to -5 in h, 5, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 2*f - 12. What is w(9)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 87936524?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 162, 322, 482, 642, 802, 962?\n\"Answer: 160*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4540924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 444 - 374. What is the smallest common multiple of t and 56826\/567 - 4\/18?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 1, -25.9, 10\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 492492050?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/p**(-2))\/p)\/((p\/(p*p**(2\/3))*p)\/p)*((p**3\/p)\/p)**(-2\/29) assuming p is positive.\nAnswer: p**(313\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 4:47 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 85*r**3 - 61*r**2 + 271429*r wrt r?\nAnswer: 510*r - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4304*k - 4307*k - 20*k**2 + 2 - 2 to the form n*k**2 + s*k + q and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/4, 0.5, 70, -4\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -173. What are the prime factors of z?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.91490437 to 2 decimal places.\nAnswer: -1.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**2\/7 + 153*d\/7 - 4730\/7 = 0.\nAnswer: 43, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/1252840 and -33\/250.\nAnswer: 31321000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 9. Let z be n(9). Let v be z + -7 + (3 - 0). Which is the closest to -2? (a) 0.07 (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(((sqrt(99)*-6 - sqrt(99) - sqrt(99)) + sqrt(99))\/sqrt(11)).\nAnswer: -sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + -b9042?\nAnswer: -b9051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9761060\/11 + -178221413\/198. Let a = 12747 + j. Calculate the common denominator of -75\/16 and a.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21430 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 14 - (-2 - 0)) + (5023 - 4985).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1274b0 (base 12) in base 14?\nAnswer: -7c668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1435945 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 14. Calculate u(30).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 0.1 (c) -40.7 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (14\/21*-9)\/(16\/(-24))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 461, 901, 1329, 1739, 2125?\nAnswer: 2481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + 10 + -32 + 12 + 35?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.3985377 days?\nAnswer: 34433.65728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**3 - 2*d**2 + 3*d + 2. Let s be c(-2). Suppose 2*f - 21 - 1 = -j, -2*j = 2*f - s. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 682151865?\nAnswer: 3, 5, 45476791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**4\/2 + y**3\/3 - 13*y**2\/2 + 24*y + 104. What is the remainder when n(2) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 279940341?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -0.0455983.\nAnswer: 3.9544017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*z = 136*z + 18 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 1672*s**2 - 173850*s - 1103724.\nAnswer: -2*(s - 713)*(s - 129)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 242\/(-330)*-15 + -10. What is the closest to y in 0.09, 667, -0.3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 9:53 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -2\/9, -948?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 6:13 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f - 99 + 463 = 0. Suppose -3*i + r + 27 = 4*r, -5*r = -3*i - f. Solve -x - 7 = i*k, -3*x + 2 = -k + 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(1\/6 + 0). Let x be (2\/(-14))\/((-21)\/(-735)*30). What is the second smallest value in c, -3\/8, x?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 2*r**2 + 4*r + 2. Let g(x) = x**3 - x - 1. Let f = 2493 - 2492. Calculate f*h(c) + 2*g(c).\nAnswer: c**3 - 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9925 - 9656. Calculate the remainder when r is divided by 37.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103758, 103777, 103796?\nAnswer: 103815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - w**2 - w. Let j(h) = 1225*h**3 - 11*h**2 - 11*h - 1. Give -j(o) + 11*z(o).\nAnswer: -1214*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*j - 19*j + 9 - 7)*(j - 2 + 2 + (0 - 1 + 3)*(-j - 2*j + 2*j)).\nAnswer: 49*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1792 by -4168.\nAnswer: 224\/521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*sqrt(408) - sqrt(408)) + sqrt(408))*1)\/((sqrt(108) + sqrt(108)*-1 - sqrt(108) - sqrt(108) - sqrt(108))\/sqrt(9)))\/(-2*sqrt(162)*2*6).\nAnswer: sqrt(17)\/648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(390)\/sqrt(10) - sqrt(39)))\/((sqrt(3)*-5 - sqrt(3))*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d. Suppose -4*s - 4*y + 9*y + 47 = 0, -4*y - 20 = -s. Suppose 2*b = -0*b + s. Let v(t) = -t + b*t - t. Give v(i(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 8*v - 6. Suppose -v + 11 = 4*q. Solve 3 = -d - q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26201, 26198, 26195, 26192, 26189?\nAnswer: 26186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 1, t: 4, o: 3, r: 2}. Give prob of picking 1 a and 1 r.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 - 108*z**3 + 960*z**2 + 432*z - 3888.\nAnswer: 3*(z - 18)**2*(z - 2)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2\/3*w**4 + 4832\/3 + 316\/3*w**3 + 2384\/3*w - 710*w**2 = 0.\nAnswer: -1, 4, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -309536 rounded to the nearest 10000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45235.51 decades?\nAnswer: 5428261.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-9))\/((-2)\/18). Let m(j) = 2*j**3 + j**2 + 3*j - 3. Let d be m(2). Suppose v = -s + d. What is the lowest common multiple of 6 and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 7*y - 44. Let h(n) = -n**3 + 7*n**2 + 10*n - 11. What is the lowest common multiple of h(y) and (-11 - -12)\/((-1)\/(-11))?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*j + 240 = 254*j. Suppose -5*d - j = -5*u, -69 = -4*u + d - 6*d. What is the smallest common multiple of 168 and u?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1221 - 1221)\/((-1 - 1)*1\/2). What is the closest to n in 9\/2, -0.4, 0.09, 0.1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.78636257 to zero dps.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21222 by 148.\nAnswer: 10611\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -31*z**6\/60 + 11*z**5\/60 + 71*z**2. What is the third derivative of q(g) wrt g?\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 14*m**2 - 46*m - 2. Determine i(-3).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 7*a**2 - 4*a - 1. What is r(-3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.9, 2\/5, 1\/2, -11452, -0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -p**5\/20 - p**4\/4 - p**3\/6 - p**2\/2 + p. Let z(y) = -3*y**3 + 46*y**2 - 11*y - 62. Let k be z(15). Calculate d(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4059455 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27160.995534 - 27161. Round w to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5\/6 + 920*h**4\/3 - 5756*h**3 - 57329*h**2\/3 - 118343*h\/6 - 6677 = 0. What is h?\nAnswer: -1, 22, 1821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*y + 7, -2*f = -3*y + 2*f + 2. Suppose 2*v + 3*v = 10. Sort 5, y, v in decreasing order.\nAnswer: 5, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.432 + 5.4319996436. What is f rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 5*h + 57 = 0, 352*x + 2*h = 348*x - 30 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.55 - 0.5499556. Round b to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**3)\/s)\/s*s**(-1))\/((s*s**0)\/s)**(2\/9) assuming s is positive.\nAnswer: s**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 15140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38.92 + 0.92. Let n = 34 + u. Which is the biggest value? (a) -2\/9 (b) 4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v + 71 = 0. What are the prime factors of v?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1941898 (base 10) in base 2?\nAnswer: -111011010000110001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433147 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/2984 and -103\/4086.\nAnswer: 6096312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014274381 to 4 decimal places.\nAnswer: -0.0143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 3*h + 100. Suppose -5*o + c - 196 = 0, -2*c = o - 0*c + 48. Let u = h - o. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(1 - 4\/(-3)). Let i(q) = -5*q**2 - 6 + 4*q**2 + r*q + 4. Calculate the least common multiple of i(5) and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.3 - -8. Let j = y + -0.3. Which is the closest to -0.1? (a) j (b) 2\/11 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -0.089, 13.51, -9?\nAnswer: 13.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 21.37, 4, 1 in decreasing order.\nAnswer: 21.37, 4, 1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -17. Suppose 4*y - 384 = q*y. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 9*d**3 + 22*d**2 + 33*d - 12. Let a = 76 - 82. Let x(f) = -2*f**3 - 5*f**2 - 8*f + 3. Let y(z) = a*t(z) - 26*x(z). Determine i, given that y(i) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/20636 and 37\/24.\nAnswer: 123816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a hour in seconds?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 13*b**4\/24 + 30*b**2. Suppose -5*i - i = -6. Calculate d(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2308*k + 51680 = 539*k + 10993 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18271697?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - c - 110 = 2*c, 5*c + 216 = 2*z. Suppose -10*j = -z - 2002. Is j a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**4\/2 - 658*f**3 + 41531*f**2\/2 - 152043*f + 226296 = 0. What is f?\nAnswer: -1347, 2, 8, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/1176675 and 103\/234900.\nAnswer: 127080900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 32871.6.\nAnswer: 32872.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**2 + 2*m + 3. Let t be c(-2). Let p(s) = -t - 7 + 22 - s. Let y(i) = 2*i - 5. Determine -3*p(f) - 2*y(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-88)\/(-20) - 2\/5. Suppose 3*f - c*w - 20 = -2*w, -4*w = -4*f + 24. Calculate the remainder when 4 is divided by 3\/(-12) - (-26)\/f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 637*i**3*y**2 - 5*i**2 - 8*y**2 + 5 wrt i?\nAnswer: 3822*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 4690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-14)*4\/(-48). What is the closest to 0.05 in 5, -0.2, f, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 14 = -6. Let u = -227\/6 + 38. Let d = 7 - 4. Put l, d, u in decreasing order.\nAnswer: d, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -8*z**3 + 16*z**2 + 243*z + 38. Is g(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -2*m + 162. What are the prime factors of m?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h - 12. Determine s(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u. Let l(t) = 1185*t - 8. Determine l(q(k)).\nAnswer: 7110*k - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27577 and 981?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*z - 20*z - 43*z + (6 - 1 + 0)*(3*z + 0*z - z))*(-1 + 3 + 0).\nAnswer: -78*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 1. Let g(l) = -l**2 - 10*l - 6. Let y be g(-9). Let f be z(y). Let w(m) = -5*m + 19. Let s be w(f). Which is bigger: -1\/29 or s?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: (2\/(54\/63))\/((-8)\/(-6))\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 310002067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, 0.5, 60\/113, 2, 27, -3, -65?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -6 - (-4 - (-12 + 7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-seven fifths of a millennium?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7108*q**2 + 5*q - 13. Let s be k(-11). Round s to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -2011010220010212?\nAnswer: 2011010220011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3703, 14827, 33367, 59323, 92695?\nAnswer: 133483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*w = -245*w - 4*b - 48, -12 = w - 16*b for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -32983568351291 and 5.\nAnswer: -32983568351286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ypfqytl. Give prob of picking 1 l, 1 p, 1 q, and 1 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by 32\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 9:40 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -7176 less than or equal to -7248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2274 to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -22*p - 17*p**4 + 24*p**4 - 24*p**2 - 108*p**2 - 18*p**3 - 50*p**3 + 35*p**2 = 0.\nAnswer: -1, -2\/7, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 3:17 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5*i + 14 = 1354, 0 = -3*l + 5*i + 804. Find the common denominator of 1\/(l\/103)*132\/(-264) and 27\/8.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(190) - sqrt(190)*-1)*-5)\/(2*sqrt(250)) - ((2*sqrt(190) - sqrt(190))\/sqrt(10) + sqrt(19) + 4 + sqrt(76)))**2.\nAnswer: 40*sqrt(19) + 494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 3*o**2 + 2*o + 2. Let c be v(2). Suppose 3*h + 3 = -2*a, -c*h = 2*a + a - 8. Solve y + y = a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 896520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*6\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 + q + 2. Let s be a(-1). Suppose s = -2*v + v. Does 7 divide (19*8)\/4 + v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.251 and -0.02?\nAnswer: -0.06502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 - 5 + m**3 + 7*m**2 - m + 10. Suppose 2 - 14 = 3*u. Does 5 divide i(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a0 - -319a?\nAnswer: 323a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 3*z, -z = 2*h - 6*z. Put h, -4, 3 in descending order.\nAnswer: 3, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/22 in -0.5, 0, 2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*v + 1620, -4*u + 2*u + 1622 = -2*v. List the prime factors of u.\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*h**3 - 3*h**3 + 6 + h**3 wrt h.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 1.6869?\nAnswer: -1.5869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5516744988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -160699 + 160747.1918. Let c = -46.1918016 + z. Let j = c - 2. What is j rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/16 and -17\/475701?\nAnswer: 7611216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 + 2755*b**3 - 8232*b**2 - 66128*b + 220160.\nAnswer: -(b - 2752)*(b - 4)**2*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2)*u)\/(u*u**1))\/((u\/(u**(3\/7)\/u))\/(u\/(u\/(u*u*u*u*u\/u**(-1\/3))))) assuming u is positive.\nAnswer: u**(16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 829279.3km in millimeters?\nAnswer: 829279300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 222 - 101. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -296007451.89999901 - -296007240.9. Let y = w - -211. What is y rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 411572.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-20)*(1 - -7). Let s be (-3 - b - -3) + 6. Solve 0 = 5*r - o + 11, -5*r = o + 9 + s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.242 or 39\/10186?\nAnswer: 39\/10186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300218 and 2.\nAnswer: 300218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v - 2. Suppose 9 = l + 5*c, 3*l - 4*c - 7 = 1. What is the smallest common multiple of l and u(6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7859 is divided by 7830.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovkd when four letters picked without replacement from kmdvdob?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 12:46 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.021 times 1\nAnswer: 1.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 119305121 from -35.\nAnswer: -119305156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9798 is divided by 998?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, -47, -161, -383, -749, -1295?\n\"Answer: -6*w**3 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/3665846 and 49\/3148.\nAnswer: 7331692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/2 - 20*x**2 + 377*x\/2 - 169.\nAnswer: (x - 26)*(x - 13)*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-28 + 19 + -24)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*q - 25 = 76*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - 13?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/7 + (-771)\/(-21). Let x = b - 36. Sort x, 5, -10.\nAnswer: -10, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2597890.\nAnswer: 2, 5, 71, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, 2506, -0.3?\nAnswer: 2506","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 34\/(4\/(-1) + 5). Let d = 9 + 8. Calculate the greatest common factor of z and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 7. Let i(w) = -w**3 - 12*w**2 - 63*w - 436. Let l be i(-10). What is u(l)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (856\/14)\/((-18)\/(-63)) + -10. Solve 242*n + t = 276*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one tenth of a kilometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3748*z + 1225*z + 1222*z + 1305*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51498642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32249?\nAnswer: 7, 17, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63776, 74345, 84914?\nAnswer: 95483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwnx when four letters picked without replacement from nxwnxwnxhxxd.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c49c3 (base 13) to base 12.\nAnswer: -44a176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -179043 - -309164. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/7, 6\/49, 0.045, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 308585 to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w - w)*(-40 - 24 + 88)*(-5*w**2 - 6*w**2 + 6*w**2).\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 3 - (504 - 505). Let d(a) = -a**2 - 4*a - 3. Let f be d(-2). Let o be (-2 + 3)\/(1\/5). Solve o*i - 2 = n*b, -4*i + 2 = -b + f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 9:53 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 20 - (2 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -6. Let c = h + 3. Let f(p) = -p**2 - 3*p + 3. Let b be f(c). Solve 4*t - 2*u - 1 = b*t, 2 = 2*t + 3*u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*z - 28. Let g be 6 + -2 - 9\/z. Suppose 0*n - 4*n = -s + 5, -g*n = 3*s - 30. Calculate the remainder when 34 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 + 35*k - 21. Let g be o(-19). Suppose 0 = 10*f - 6*f - g. Solve -7*a - 5 = f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 1)*5\/(-15). What is the third biggest value in 2\/5, 5, -0.08, y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odx when three letters picked without replacement from odozxib.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-7*(-10)\/(-58275)) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4 + 6)*(0 + 1 - 2)*(6*d**2 + 9*d**3 - 6*d**2) as w + t*d**3 + g*d + i*d**2 and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -564*n**3 + 2 + 2*n + 902*n**3 + 0 - 4 + 1209*n**3 as s + y*n**2 + f*n**3 + w*n and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2058824, -16470633, -55588410, -131765141, -257353812, -444707409, -706178918?\nAnswer: -1054121325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 9:29 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by -129\nAnswer: 56\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 5*y + 18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 450340 divided by 46\nAnswer: 9790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, z: 9}. Give prob of picking 2 z.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 7132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -3, -2\/3, 4632?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1674 is divided by 129.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22418 and 134320504.\nAnswer: 1477525544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(175) - (sqrt(175) + -1 - sqrt(175) - sqrt(175)))**2 + 1 - -3*(sqrt(175) + -2 + sqrt(175))**2*6)*-2 + -3.\nAnswer: -26757 + 1400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001255088 rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - l + 1 = 0, 4*i + l - 1 = 2. Let d(t) = -7*t**3 + 8*t**2 - 6*t + 13. Let p(x) = x**2 - x + 2. Let m(n) = -d(n) + 7*p(n). Give m(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/5*x**2 + 32\/5 + 16\/5*x = 0. Calculate x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20, 29, 20, -7, -52?\n\"Answer: -9*l**2 + 36*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13\/36 + 5\/36. Let t(i) be the second derivative of 0 + 0*i**3 - i + d*i**4 + 0*i**2. Let g(q) = -2*q**2. Calculate g(t(y)).\nAnswer: -72*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6554410199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 16*g + 144 - 44 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7311*q**2 + 7170*q**2 - 11 - 112 + 3*q - 34.\nAnswer: -141*q**2 + 3*q - 157","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (6 + -3 + 7)) + -9 + -3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 300 + -305. Let c = -10 + 7. Sort 0, c, z, 4 in descending order.\nAnswer: 4, 0, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329 = -8*c + c. Suppose c = 7*y - 44. Suppose -y*k - k + 2198 = 0. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 116*b - 45 - 303. Solve 0*w - 5*w = -b*k - 8, -3*k + 1 = 4*w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4 = 5. Calculate the common denominator of 5\/m*(-27)\/(-102) and -13 + 25 + 33\/(-8).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6105 rounded to the nearest 100?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 36, 55, 72, 87, 100, 111?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -172\/7*h + 534\/7 - 2\/7*h**2 = 0.\nAnswer: -89, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 17 = 3*u. Suppose -u*d + 2 + 1\/2*d**2 = 0. What is d?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445520 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 6864 - 1949 = -5*a, 2*a - 3920 = 4*j. Is 2 - (j + -4) - 4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l + 10. Let w(t) = -10*t + 51. Let k(h) = -11*m(h) + 2*w(h). Let d be k(6). Solve 0*n + d*n + 4*o = 0, -5*n - 4*o = -5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 405*f - 16 = 406*f, 0 = 8*a - 2*f + 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000060941 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 569576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2*t - 416, 5*w + 5*t + 252 = 1302. Let v be (-114)\/22 + 38\/w. Let o(a) = -2*a**2 - 9*a + 10. Let p be o(v). Is p not equal to 31\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117 - 38. Let n = y + 21. Let p = -100.1 + n. Which is the smallest value? (a) -2\/11 (b) -3 (c) -8\/5 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190598 = 4*g - 3*t - 190591, -14 = -2*g - 2*t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-2))\/(-6 + 2)*-48. Let a(h) = 61*h**2 - 2*h + 1. Let i be a(1). Calculate the highest common divisor of q and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 323?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 2*a**2 + a - 1. Suppose 0 - 6 = -2*h + 3*m, -3*h + 9 = -5*m. Give o(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78.06 - 50.22. Round z to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2344875343?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15, -22, -41, -78, -139, -230, -357?\n\"Answer: -h**3 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, 2, 1.4, -2\/3 in descending order.\nAnswer: 2, 1.4, -2\/3, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2*9*2. Let l = 4791\/5 + -5588\/5. Let q = 160 + l. Sort h, -0.5, q in ascending order.\nAnswer: -0.5, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5055 is divided by 88.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 791598274.\nAnswer: 2, 479, 826303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*h - 6. Suppose -t - t + 6 = 0. Let z(u) = -u**2 + 6 - u**3 - 3 + 6*u - t*u**2. Calculate z(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351375 and 4625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 333 - 338. Let m be n\/6 - ((-595)\/30 - -7). Solve -m = -4*l, 2*l = 2*o - 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28962451\/180 + -160903. Find the common denominator of t and 61\/990.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 + 1176*r + 9391. Determine t(-8).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -j - 7, j = 5*a - j + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(12012\/56) + 11\/((-7502)\/(-168)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (324\/16 + -21)*8\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3825065?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.036 - 2.508. Let f = -119.4 + 122. Let a = f + p. Round a to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 9*p + 19. Give q(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1499971, 1499974, 1499977, 1499980, 1499983, 1499986?\nAnswer: 1499989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5931.947832408 - 5972.947834. Let r = z + 41. What is r rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 83*q + 12. Let a be d(8). Suppose -6*c + a = -44. Suppose 0*k + c = 4*k. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 - x - 2. Let i = 1 + -4. Let z(t) = 2*t**2 - 2*t - 3. Let c(f) = i*z(f) + 4*q(f). Suppose -25*r - 22 = -3*r. What is c(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1020 + -789. What is the highest common divisor of l and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y - 19. Let w be c(9). What is the greatest common divisor of w and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhttijm. Give prob of picking 1 j, 1 t, and 1 m.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96282 = 1899*p - 1890*p. Calculate the least common multiple of 42 and p.\nAnswer: 74886","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*v**3 + 0*v + 3*v**3 - 2*v)*((1 + 1 + 1)*(-5 + 1 + 1)*(66*v + 28*v + 75*v) - 2 + v + 2) to j*v + i*v**2 + p + s*v**3 + q*v**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 913 is divided by 51.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -11. Calculate the lowest common multiple of p and -2 + (-18)\/(3\/(-1)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*s - 240 = 0. Let j be (-2 + 0)*(-18)\/s. Which is the nearest to -2? (a) -5 (b) -2\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 245, 0.03, -1, 1\/4, -980?\nAnswer: -980","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 12:33 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((-6)\/(-9)) - (5 + -60). Let s = v - 47. Suppose -4*l - s = -21, 2*h - 4*l = 30. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 q when three letters picked without replacement from {p: 3, z: 1, y: 1, o: 3, q: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-16 - -29) + 3\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50564161, 50564163, 50564165, 50564167, 50564169, 50564171?\nAnswer: 50564173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2105 is divided by 698.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0, 0.024, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, -8, -0.2 in descending order.\nAnswer: 58, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(399)\/sqrt(7))\/sqrt(3))**2 + (sqrt(95)*-2)\/sqrt(5).\nAnswer: -2*sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 580 - 499. Calculate the remainder when g is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b + 20. Let y be x(-4). Let u(o) be the first derivative of -15 + 2\/3*o**3 - 2*o + 3*o**2 - 3\/2*o**y. Factor u(i).\nAnswer: -2*(i - 1)*(i + 1)*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-130)\/(-104) + 117\/12 - (-19)\/(228\/(-972)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - 84 = -57 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -10*n + 9. Let r = -11 - -17. Let s be q(r). Let l = s - -98. Calculate the remainder when l is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four sevenths of a week in days?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -52\/7, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - d2?\nAnswer: -ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9568 + -9566. Suppose -60 = -x - 3*x. Suppose 3*b - 4*h = 13, b + x = 5*b - 3*h. What is the third biggest value in b, t, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11563921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 77, 0, -7 in decreasing order.\nAnswer: 77, 0, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 81 and 12257.\nAnswer: 992817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23.1 and 6.\nAnswer: -138.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -13282 times -768?\nAnswer: 10200576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5137533 a multiple of 655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.5 (b) 14720 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10584, -10587, -10566, -10509, -10404?\n\"Answer: 2*m**3 - 17*m - 10569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18 - 9) + 8*(-1)\/2. Suppose 0 = -5*t - 4 - 6, -3*g + 79 = -s*t. Solve 17 = 3*x + g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 23*v + 236. Give q(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 5:44 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -1282*f + 1537. Let y(p) = 1279*p - 1533. Let g(k) = 3*v(k) + 4*y(k). Differentiate g(w) with respect to w.\nAnswer: 1270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2961 and 7010379.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 462000 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9228217.\nAnswer: 9228217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*n + 98. Let v = n - 94. Solve 4*l + 4 = 2*x, v*x + 5*l = 8*x - 11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -185 - -184.79. Let t = m - -4.21. Which is the smallest value? (a) -3\/7 (b) 0.09 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(475) + sqrt(19))**2 - sqrt(152)\/(sqrt(8)*4).\nAnswer: 191*sqrt(19)\/4 + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -14. Suppose 3*x = j*x - 69. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 123921 = -p - 123924, 2*l - 4*p = -6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190 - 263*o + 191 + 264*o.\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -213645 (base 7) to base 16\nAnswer: -91fb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + 29 - (-3 - 1) - 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459352289.\nAnswer: 11, 41759299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -1 + (-23 - -28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 78686 - 1881308 = 0. Let c be v + 4\/((-8)\/(-6)). What is c rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 - 3*o. Let u be d(-3). Suppose 0*b - 24 = -4*b. Suppose -3 = 3*g - 3*i, 3 = 2*g + i - 7. Solve u = g*j - j + b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*x - 25033 = -86377. Is x a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 15. Let y = 15 - n. What is the units digit of 145\/y - (-1)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-67)\/(-30) - 1*(-2)\/(-10) and -44\/39.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -158, 3, 2 in ascending order.\nAnswer: -158, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.05, 3\/509, -3, -140?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (308\/242)\/((-210)\/(-1320)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*l + 64, 3*l + 5*n = 6*l + 41. Let h be (3\/l)\/((-27)\/(-24)). Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/25, 0.9, -0.1, 0, 1\/4, -111 in descending order.\nAnswer: 0.9, 1\/4, 0, -2\/25, -0.1, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 11:57 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 2*w - 1. Let u be r(3). Let h(l) = 0*l**2 - 5*l**2 + 7*l**2 + 5*l**3 - 4*l**3. Let n be h(u). What is the highest common factor of 24 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (70\/490)\/((-1)\/(-4))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 65.55 and 0.4336 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -449, -635, -821?\nAnswer: -1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 244, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 570 = -4*y + 502 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*5*sqrt(190)*1*1)\/(2*(sqrt(640) - sqrt(640)*2)*4)*-1.\nAnswer: -15*sqrt(19)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 71*m - 290. Calculate l(74).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95605566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 11 + 29 = 0. What is the smallest common multiple of 2 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - 24. Let b(r) = 2*r**2 + 1. Let t be b(y). Suppose -s = 4*d - 605, 3*d - 617 = -d + 3*s. What is the greatest common factor of d and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-7) - 901\/7. Let i = -14 + 9. Does 13 divide z\/i + (-5)\/(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.1. Let d = -1371.1 - -1371. Which is the nearest to y? (a) d (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n - 91. Let b be h(24). Suppose -5*c = f + 4, -b*f = -3*f + c + 17. Put f, -6, -1 in ascending order.\nAnswer: f, -6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 + 217. Let l = f + -176. Calculate the greatest common factor of 11 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 386 = 3*c, -8*j = -11*j - 5*c - 581. Is j less than -189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 7)*(2*a**5 + 97 - 97).\nAnswer: -6*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -107*a*y**2 + 2*y**2 - 5 wrt a.\nAnswer: -107*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6\/5, 0, -14, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 + 45. Suppose 3*x - 319 = -z*q, 0 = -q - q - x + 321. List the prime factors of q.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 5*h**2 - h + 1. Suppose -2*k - 3 = 5, -3*z + 3 = 3*k. What is l(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 67855?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*12\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - g = -301. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 8 - (4 - 10 - -13) - 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 540 - 539. Calculate the greatest common factor of 7 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (2*sqrt(360))\/sqrt(2) + sqrt(45) + 1 + -2)*2 + 2)**2.\nAnswer: 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -654871, -654884, -654897, -654910?\nAnswer: -654923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193*31.\nAnswer: -5983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*v - 3*v**2 - 40*v + 21*v**2)*(-1 + 4*v + 1).\nAnswer: 72*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 210065554 - 0?\nAnswer: 210065554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 h when three letters picked without replacement from {u: 2, l: 1, h: 2, m: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 357.207 + -357. Let u = a - 0.207141. Round u to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6740.4, 1, -2.\nAnswer: -2, 1, 6740.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 6:41 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -8*f + 530. Let h = 485 - f. What is h rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**7 + 3*x**5\/5 - 103*x**3\/3 - 277. Find the third derivative of q(b) wrt b.\nAnswer: -840*b**3 + 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.404904ms in days?\nAnswer: 0.0000011157975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b + f + 6 + 10 = -16*b + 11, 0 = 2*b - f - 3 + 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13707 - 2?\nAnswer: 13705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -5*g + 50. Calculate the remainder when g is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6757 - -0.084576797\nAnswer: -0.591123203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 74255 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 0.03, -23, 0.27 in ascending order.\nAnswer: -23, -15, 0.03, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrt. Give prob of picking 2 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 17 + 17)*(0*j + j - 3*j)*(13 - 5*j**3 - 13).\nAnswer: 40*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 0 + -20 - (1287\/(-108) - (-4)\/16).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**3\/19 - 510*t**2\/19 - 1006*t\/19 + 1518\/19 = 0. Calculate t.\nAnswer: -253, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3028237 (base 12) to base 2\nAnswer: -100010011000100101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004834.\nAnswer: 2, 19, 31, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -9.353?\nAnswer: -2.8059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5, 268, 5\/12, -4\/3.\nAnswer: -4\/3, 0.3, 5\/12, 5, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 17 - 2*k - 17 + 2*k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 6:35 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 247, 365, 479?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a tonne in kilograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -24\/5*x**2 - 2\/5*x**4 - 12\/5*x**3 - 16\/5*x + 0 = 0. What is x?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 3*j + 3. Let n be ((-4)\/(-5))\/(22\/55). What is k(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 8*o + 0*o**3 + 0 + 5\/6*o**4 + 0*o**5 + 0*o**2 - 1\/5*o**6. Find the third derivative of m(l) wrt l.\nAnswer: -144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/sqrt(4500))\/((4*sqrt(98) - sqrt(2))*-1))**2.\nAnswer: 1\/218700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/36 - (-62)\/36. Let q = c + -5\/9. Factor q + 1\/3*b**2 - 4\/3*b.\nAnswer: (b - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -1)*(1 - -4). Let r = 0.7 + -0.4. Let g(f) = f**2 + 5. Let z be g(0). Sort v, r, z in decreasing order.\nAnswer: z, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*s**3 + 528*s**2 + 52*s - 8 wrt s.\nAnswer: 36*s + 1056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87852 is divided by 33.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(6\/11))**44\/(j**(-12)\/(((j**(2\/7)*j)\/j*j)\/j)))**(-12) assuming j is positive.\nAnswer: j**(-6408\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + 1)*24\/(-20). Let r be s*(2\/3 + 0). Let t = -169 - -170. Sort t, r, 0 in descending order.\nAnswer: t, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwrr. What is prob of sequence rw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 208 - 416*r**3 - 2417*r**5 + r**2 + 7*r**2 + 2413*r**5 + 420*r - 216*r**4.\nAnswer: -4*(r - 1)*(r + 1)**3*(r + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**4\/4 - 4*k**3\/3 - 7*k**2\/2 + 1. Let w = -21 - -29. What is the remainder when o(6) is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -571*n**7\/21 - 1123*n**5\/30 + 70*n**2 - 10*n - 3. Find the third derivative of x(p) wrt p.\nAnswer: -137040*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*u - u - 148, -2*z - 5*u = 257. Let d = -75 - z. Let g = d - 36. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) - -1*sqrt(65) - sqrt(65))*-5)\/(sqrt(80)*-1) - (6*(sqrt(13) + sqrt(13) + -2 + sqrt(13)) + -1*sqrt(13) + 4)**2) + 1.\nAnswer: -3820 + 1093*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - (-2 + -2))\/(-1). Let g be (-2)\/(8\/(-3))*-4. Let i = u - g. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**6\/180 - z**5\/20 + 3*z**4\/8 + 2*z - 177. Find k such that s(k) = 0.\nAnswer: -9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.8 (c) 38\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 1352.\nAnswer: -270.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 130000 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**4\/14 - 2*z**3\/21 - 5. Find r, given that n(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1480\/7 at least -211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 15.166 (c) -0.04 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*p + 70 - 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 6. Let t = x - 5. Let m = -3 - -2.7. Sort t, m, -4\/3.\nAnswer: -4\/3, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -11. Is 6\/7 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646303 is divided by 2133.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -132 + -1728545?\nAnswer: -1728677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 66281.7 to the nearest 1000.\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-63) + 13\/((-1170)\/(-4840)). Solve 0 = -o*q + 35*q - 38 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.683999418 + -0.684. Round w to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6498 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 143*s**2 + 5193*s + 12253. What is u(-80)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74574 and 3336?\nAnswer: 41463144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**3 + 2*b**2 - 1. Let a be l(1). Suppose m - 5*v = 15, -4*m + m + 3*v + 21 = 0. Factor 2\/7*r**a - 2\/7*r**2 + 2\/7*r**m + 0*r + 0 - 2\/7*r**3.\nAnswer: 2*r**2*(r - 1)*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*o + 72 = -197*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from ykyyyykyykyyyyyyyy?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9871 greater than or equal to 9873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -2. Let x(a) = 6*a**2 - a**3 + 0 + a + 1 - 1 + 4. Let u be x(6). Solve 0 = j*w - 5*w - u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5104\/812 + 5 + 120\/(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 3*a**2 - 2*a + 5. Let n be c(-4). Does 3 divide (1 - 2 - n) + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**4\/24 + 7*t**3\/6 - 17*t**2\/2 + 5. Let h(p) be the second derivative of r(p). What are the prime factors of h(-12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 82*k - 7639529 + 7632477 for k.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 17\/4527762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-329)\/35 + 10)*1*5. Suppose -3*f + 213 = -i*t, 11*f + 5*t = 15*f - 283. What is the remainder when 213 is divided by f?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32824 is divided by 505.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 + 4804*n + 102648.\nAnswer: -4*(n - 1222)*(n + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.74136um?\nAnswer: 0.00074136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 179.0003g?\nAnswer: 179000.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 5\/6, -3, 264?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 136.103 - 0.103. Let j = 135.81 - t. Let a = -0.11 + j. Is a <= 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1053 + 1522. Let y = u + -468.999999626. What is y rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -10. Let l = -8.9 - h. Let x(g) = -g**3 - 6*g**2 - g - 4. Let m be x(-6). Do m and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33366855\/172 + 193994. Let w = -4\/43 - l. What is the biggest value in 0, -2, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w + w + w - 14 + 12 - w**3 + 4*w**2. Calculate m(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11)\/(55\/(-20)) + (-2 - -3). Suppose -2*l = -5*l + 21. Let m = l - y. Solve 0*i + 10 = -m*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4103915 is divided by 206.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 10\/7 (b) 88 (c) 4 (d) -4 (e) -30\/19 (f) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5031 divided by 7\nAnswer: -5031\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -a415 (base 14) in base 3?\nAnswer: -1102202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121408601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 3\/7)\/(1375\/1925). Factor -2\/5 - 4\/5*s**3 + 0*s**2 + j*s + 2\/5*s**4.\nAnswer: 2*(s - 1)**3*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -4d5c?\nAnswer: -4d56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -8.56. Let i = 7.5 - 7. What is the second biggest value in i, -4, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, f: 7}. What is prob of sequence ff?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, o: 6, r: 2, w: 1}. What is prob of sequence wowo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26094852 divided by -756.\nAnswer: 34517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-27)\/(u**(12\/5)*u) assuming u is positive.\nAnswer: u**(-152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2667 = 7*x - 4*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 153, -7, -16, -15, 5, 4 in decreasing order.\nAnswer: 153, 5, 4, -1, -7, -15, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*q, q = 12*r - 15*r - 19. Let t be (74\/111*(0 - 2))\/r. Let i = -0.05 - -3.05. What is the second smallest value in t, 1, i, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(35)*-2)\/(sqrt(7) + (sqrt(7) - sqrt(189)\/sqrt(3))).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 5:04 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 15 = 4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/8)\/((-14)\/(-28)). Put 0.3, -2\/9, z in decreasing order.\nAnswer: 0.3, -2\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -10*v**3 - v. Suppose -2*y + 16 = -6*y. Let r(g) = -g**3 - 5*g**2 - 3*g + 3. Let i be r(y). List the prime factors of d(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144831\/10 + 14495. Find the common denominator of k and (-4266)\/168 - (-2)\/14.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4119261156?\nAnswer: 2, 3, 1412641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029 plus -31945?\nAnswer: -31945.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-13)*u\/(u*u*u**(2\/3)*u)*u assuming u is positive.\nAnswer: u**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 7126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3923546, 3923548, 3923550, 3923552?\n\"Answer: 2*r + 3923544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4151 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 351*q + 114*q + 175*q + 85*q + 4 + 77*q.\nAnswer: 100*q + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 26 = -1. Suppose 4*s + 3*m = 5*m + 230, -x*m - 35 = -s. Calculate the remainder when s is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 1030115?\nAnswer: -1030114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92254264?\nAnswer: 2, 31, 41, 43, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 15 - b3bc22?\nAnswer: -b3bc0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/6 - b\/2 - 119\/3.\nAnswer: (b - 17)*(b + 14)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (97\/873)\/((2\/(-48)*-57)\/((-3)\/(-4)))?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/(32\/2))\/((-42)\/102).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 9*t**2 - 2*t - 11. Let s = -1 - -5. Suppose -3*h + 18 = -3*g, s*h - 15 = 3*g - 0. Is 7 a factor of i(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 905 - 5. What is the greatest common factor of 270 and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/(m**(-1\/2)*m*m)*m*m**(-7) assuming m is positive.\nAnswer: m**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -78*d**2 - 54*d + 80. Let s(h) = -10*h**2 - h. Let q(n) = -b(n) + 8*s(n). Determine q(21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172251507?\nAnswer: 3, 43, 131, 10193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**5\/17 + 7996*g**4\/17 - 1265598*g**3\/17 - 52435512*g**2\/17 - 656652960*g\/17 - 157728384 = 0.\nAnswer: -4149, -12, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74367*j**2 + 180148*j**2 - 85471*j**2)*(-2*j + 2*j + j) - 2*j**2 + j**3 + 2*j**2.\nAnswer: 20311*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -183421555 rounded to the nearest ten thousand?\nAnswer: -183420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/3)\/((-6)\/18) - -3. Suppose -t*g - g = 630. Let o be ((-280)\/g)\/(1\/3). What is the highest common divisor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7530 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of 1\/42*d**4 - 2\/21*d**3 + 0 + 1\/70*d**5 + 259*d + 0*d**2. Factor o(q).\nAnswer: 2*q*(q - 1)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27890?\nAnswer: 2, 5, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3744, 6976, 10208?\nAnswer: 13440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/9, -2.9, 5 in decreasing order.\nAnswer: 5, -7\/9, -2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*x + 591, -x + 4*x - 5*v - 888 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134973 is divided by 434?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4284 and 96?\nAnswer: 34272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*y**2*z**3 - 150064*y**2*z**2 + 11289*y - 10*z**3 wrt y.\nAnswer: -4*z**3 - 300128*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 572 and (-2 + 11 + -14)*(-44)\/10?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 19*d**2 + 61*d - 12. Let y be w(15). Let h(f) be the third derivative of -1\/6*f**y - 6*f**2 - 1\/30*f**5 + 0*f**4 + 0 + 0*f. Determine h(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m + 13. Let g(w) = -2*w + 6. Suppose 0 = -4*h + 34 + 2. Suppose -3*t - 18 = h. Give t*g(i) + 4*s(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/11, -5, 1, 5502\/143, -0.4, 5, 3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 62*l - 3750. Calculate x(61).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 8*n**2 - 3*n - 1. Let p(y) = -4*y**2 + 2*y. Let c(a) = 5*p(a) + 3*v(a). Suppose g = -3*g - 12. Is 7 a factor of c(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iriiieeioiioiiiiri. Give prob of picking 3 e and 1 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 4 (b) 24\/11 (c) -8\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 520159?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -13*l**3 + 5*l**2 + 3*l + 1. Let k be -2 + 5 + (-3 - 2). Let j be f(k). Calculate the highest common divisor of 17 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110101 - 100011010101101?\nAnswer: -100100100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87279 - 87097. Suppose 0 = -3*g - q - 4*q + 164, 0 = 2*g - 3*q - 122. Let s = 95 - g. What is the remainder when d is divided by s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o - 11. Let i be 12 + (-6 - (-4 - -1)). Is p(i) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.056449 and 78448142.\nAnswer: 78448141.943551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + 27. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7*u + 8. Let n(g) = -1. Let h(j) = -2*n(j) - v(j). Let f(i) = 13*i + 11. Let o be ((-22)\/(-3))\/(2\/3). Give o*h(c) + 6*f(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1637 + 0.1727. What is the nearest to 1 in -1\/2, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -115, -2\/13, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, l: 7, a: 1, y: 2, t: 3, f: 2}. Give prob of picking 1 t and 1 f.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**5 + 246*b**4 - 3018*b**3 - 120204*b**2 + 995085*b + 18480150 = 0.\nAnswer: -13, 18, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 96 = 7*p, p + 517 = -5*x + 505 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 8*c**3 + 2*c**2 + 2*c + 1. Let r be s(-1). Let i = -1 - r. What is the units digit of (-9)\/i*(-10)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 116430607.1 from -0.08.\nAnswer: -116430607.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 299284176 by -430006.\nAnswer: -696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, 1, -4, 4, -36 in ascending order.\nAnswer: -36, -8, -4, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 3*n. Let k = n - -2. Suppose -1340 = -k*o - 2*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 3*k + 13\/24*k**6 - 1\/24*k**4 + 0*k**5 + 0 - 18*k**2 - 47\/3*k**3. Differentiate l(u) wrt u.\nAnswer: 195*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28548)\/(-442) - 576\/9.\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/3*(-96)\/16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62 - -157. Let p = t + -221. Let f = 2.5 + 0.5. What is the closest to p in 5, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427*k + 5*k + 15399 = 55*k + 116*k for k.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) + 1401\/4. Suppose 0 = 2*q - 0 - 6, -5*q = 5*f - i. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/6*(-7)\/(-14).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6445?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u - 1. Let j(t) = 6*t - 1. Let d(f) = 4*j(f) - 5*y(f). Let v = 5307 + -5306. Give d(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-1 + sqrt(320) + 0)*-6)**2.\nAnswer: -576*sqrt(5) + 11552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -36381555 divided by 7276311?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 2365949744 and 2365949745 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g**0)\/g)**(5\/6)*(g**3)**(-6\/7) assuming g is positive.\nAnswer: g**(-73\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 8. Let s = 0 + 8. Let k be y(s). Is k + 41 - (-5 - -9) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.88634908 take away 300?\nAnswer: -302.88634908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 2*a + 10, -3*a - 4 = -8*p + 6*p. Which is smaller: p or 7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -5*w + 6900000. Round w to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 47*l + 83*l - 69*l + 20. Let x(p) = 3*p**2. Give g(x(v)).\nAnswer: 183*v**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 + 2*p**5 - 2*p**5 + (-2*p**3 + 1 - 1)*(3*p**2 - 4*p**2 - p**2) - 31*p**2 - 4*p**5 - 10*p**5 + 16*p**5.\nAnswer: 8*p**5 - 31*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - 2.4. Let f = g - -3. Is f at most as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from {f: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 3, 2, -210, -2 in ascending order.\nAnswer: -210, -2, -1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242 (base 6) to base 14.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/9 (b) 2\/9 (c) 2 (d) -21\/4 (e) -97\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 43*p - 151. Let g be w(4). Solve -u + g = 6*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 8*u**2 + 22*u - 4. Let x be r(-6). Let c be ((-3)\/12)\/((-152)\/x). Sort c, 0.2, -4.\nAnswer: -4, c, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 145065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 291*g + 4059. What is b(15)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9738272, -9738300, -9738330, -9738362, -9738396, -9738432, -9738470?\n\"Answer: -r**2 - 25*r - 9738246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19918320*w**5 + 14959238*w wrt w.\nAnswer: -398366400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4 - 8. Suppose 0 = l*a - 3*k + 12, 4*k = -a - 11 - 3. Let c(h) = h**2 + 6*h + 14. What is the remainder when c(a) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276261 (base 8) in base 2?\nAnswer: 1010111110010110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4 - 3*c**2 - 2 + 3*c**2 - c**2 - 5*c. Let v be q(-5). Solve -4*i - v = 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55\/681 - 43595\/92616. Let a = 51\/116 - 1633\/812. Calculate the common denominator of a and j.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11\/8*y - 7\/8*y**2 - 1\/2.\nAnswer: -(y + 1)*(7*y + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 + 27*c - 36. Let p be n(12). Suppose p = -2*a + l + 1040, 2*a - 1688 = 2*l - 644. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + 5 + 40 + 15.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 2*p + 155 = 4*h, h - 5527 + 5486 = -2*p for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 14. Let q = -0.34 - 0.06. Let l = -12 + 11.8. Which is the nearest to -0.2? (a) q (b) l (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + v + 1 + 2 = 0, -u = 2*v + 9. Let a(x) be the second derivative of 0*x**2 + 0 - 5*x + 0*x**u + 5\/4*x**4. Let h(m) = m**2. Calculate a(h(z)).\nAnswer: 15*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1901139*z**2 + 9093586.\nAnswer: 3802278*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333 = 7*n - 452. Solve 4*g = -2*k - 3*k - n, 3*g - 16 = 2*k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 12*4\/(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12144 - -541.9.\nAnswer: 12685.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 10*f + 28. Let q(h) = h + 1. Let i(o) = -4*q(o) + 2*w(o). What is the hundreds digit of i(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*l - 32*l - 142*l - 11*l - 130*l.\nAnswer: -347*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*c**3 - 135*c**3 - 117*c**3 + 463*c**3 - 102*c**3.\nAnswer: 19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1284.8 and 0.33.\nAnswer: 423.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -329784, -329884, -329984, -330084, -330184, -330284?\n\"Answer: -100*l - 329684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 (base 11) in base 9?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -355, -3, -4, 4, -0.01, 0.1 in ascending order.\nAnswer: -355, -4, -3, -0.01, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 2 + 8*y**3 + 2 - 10.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**3 + 14*p + 16. What is q(-2)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, n: 4, t: 2, z: 5}. Give prob of picking 3 n.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1816*x - 3*c + 114 = -1821*x + 30, -c = 5*x + 3*c + 98 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a + 2. Let r(x) = -3*x - 5. Let f(s) = -2*c(s) - r(s). Let w(t) = 7*t - 5. Give -6*f(p) - w(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) 0 (c) 106 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6184616.7 rounded to the nearest 100000?\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*w - 52*w - 14*w**2 + (w**2 - 3*w**2 + 0*w**2)*(-3 + 1 + 3))*(2*w + 0*w + 0*w).\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 19916790.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 0*j, -2*j - 20 = 5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/95)\/(20\/(-40))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 4:59 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + z**3 - 4*z**3)*(59 - 59 - 39*z) + 0*z**4 - 3*z**4 + 2*z**4 + (z**3 + 2*z**2 - 2*z**2)*(2*z - 2*z + z) - 4*z**4 + 3*z**4 + 3*z**4.\nAnswer: 80*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.99 + 22. Let y = -5.01 + m. Put y, 4\/7, -7\/4 in increasing order.\nAnswer: y, -7\/4, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**4\/7 + 3874*z**3\/7 - 268690*z**2\/7 + 34514*z + 1588980\/7 = 0. Calculate z.\nAnswer: -2, 3, 71, 1865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1072168997?\nAnswer: 107, 10020271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 2606?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiqqrrqrr. What is prob of sequence iri?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 498 - 471. Let t(p) = 3*p - 15. Let s be t(-11). Let q = s + 105. What is the lowest common multiple of w and q?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 1, p: 1}. Give prob of sequence ii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -72265760*s**2. Let k(z) = -z. What is k(x(l))?\nAnswer: 72265760*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-91)\/546)\/(9\/3456)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(24)\/sqrt(3) - sqrt(8) - sqrt(8)) + 3 + -2)**2.\nAnswer: -2*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 a when three letters picked without replacement from {a: 2, r: 4, z: 2, k: 1, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -102*-23\nAnswer: 2346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -6*b - 30. Calculate p(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -333 - (4 + 14 + -7). Put -1, t, 4 in increasing order.\nAnswer: t, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-12))\/(-5)*4\/(-6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 236 + 14. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9153 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12464 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**3 + 3*r**2 + 4*r - 2. Let h(i) = i - 1. Calculate d(v) - 2*h(v).\nAnswer: 5*v**3 + 3*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -32*w**2 - 34*w. Let k(y) = -13*y**2 - 14*y. What is -5*f(n) + 12*k(n)?\nAnswer: 4*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 70\/(-90)*(-2)\/7. Let b(r) be the second derivative of -m*r**4 + 2*r - 1\/9*r**3 - 1\/63*r**7 + 0*r**2 - 1\/5*r**5 - 4\/45*r**6 + 0. Factor b(p).\nAnswer: -2*p*(p + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 9*k**2. Let l be x(-1). Let -2*f**3 - 6 + 0*f**3 - 2*f**3 + f**3 + l*f = 0. Calculate f.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 41*t - 21. Let r be i(6). Suppose 16 - 14 = v, 5*v = 5*l - 365. What is the highest common divisor of l and r?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/((14\/(-6) - (20 + -22))*(-18)\/(-12))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*(2 + 26\/(-10)). Let d(y) = 4*y + 5. Let i be d(5). Suppose 4*w + 5*o + i - h = 0, o = w + 1. Which is greater: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237*g = -240*g + 15. Let m(y) = -6*y + 18 - 23 + g. Let z(b) = -2*b. Calculate -4*m(v) + 14*z(v).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 8:18 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8538 + -8534. Factor 0*d**3 + 3\/4*d**5 - 3\/4*d + 0 - 3\/2*d**2 + 3\/2*d**g.\nAnswer: 3*d*(d - 1)*(d + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*k - 91. Let s = k - 17. Let a = 7 - s. What is the lowest common multiple of 18 and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, j: 4, i: 3, a: 4}. Give prob of picking 1 a and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7578.7187 - 17.8187. What is a rounded to the nearest one hundred?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(343) + 2 - sqrt(343) - sqrt(343)) + 4*sqrt(343)*6)**2*-1*6.\nAnswer: -1088778 - 7728*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**3\/3 + 4*d**2 + 6*d - 1. Let b be n(-8). Let x(u) = u**3 - 7*u**2 + 7*u + 5. Is 11 a factor of x(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/4*o**2 + 3\/8*o**3 - 3\/8*o - 3\/4 = 0 for o.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21448, 21460, 21472, 21484, 21496?\nAnswer: 21508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 436687?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57496395 is divided by 1906?\nAnswer: 1905","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 14) to base 7\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -46*f**3 - 27*f**2 - 27. Let g(t) = -2*t**3 - 2*t**2 - 2. Let i(y) = -4*g(y) + l(y). Let v(d) = -d**3 - d**2 - 1. Calculate i(w) - 19*v(w).\nAnswer: -19*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 24 = 4*v, -6*v + 2*v - 25 = -5*c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -897676 divided by 122\nAnswer: -7358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/63)\/g**(-33) assuming g is positive.\nAnswer: g**(2077\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 8430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 2*d + 4*a - 10, 0 = 5*d + a + 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62119676107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 909 by 909.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 7040?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*-726\nAnswer: 21.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from dqcumdcv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-15)\/(-10))\/(6\/(-80)). Let w = -15 - z. Suppose 0 = 4*m - w*m + 23. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.4 - 9. Let s = -0.2 - m. Let y = -0.5 - -1. What is the third biggest value in s, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 260, 526, 792, 1058, 1324?\n\"Answer: 266*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71155547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.394 + 0.494. What is the third biggest value in k, -1, 58?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -22\/3, -9\/2, -241, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 10*o**2 - 18*o. Determine u(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 986 - 991.47. Round a to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**2 + 292415*s - 292420 = 0.\nAnswer: -58484, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 9. Suppose -9*h + 14*h + 25 = 0. What is m(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3 or -517.8131?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-522)*(-36)\/(-6).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 27. Suppose 0 = -t*g + 4*g - 24. Suppose -7*j = -j - g. What is the closest to 16\/5 in 2, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19323 - 29*s + 19319 - 111*s)*(-2 + 5 - 1)*(-s**3 + 2*s**3 - 3*s**3).\nAnswer: 560*s**4 + 16*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -66393 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 76120 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/3, 1.2, -3?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 32 = 2*h, p = -5*h + 8. Solve -4*v - p = -35 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + (-3 - -41) + -1. What is the greatest common factor of d and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 1\/120*m**4 - 22*m + 9\/20*m**2 - 1\/10*m**3 + 0. Find v such that w(v) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.2, 1\/6, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 13 + 4)*(-5*o**3 + 5*o**3 - o**3) + (-2*o + 1 - 1)*(-o**2 + 1 - 1).\nAnswer: 14*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 4*c**2 + 3*c - 10. Let g be j(4). Let b be 24 + -9 + (-1 + -1)\/g. What is the hundreds digit of (-279)\/(-2) + b\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*i - 4 = 0, 4*h - 14 = -5*i + 2. Let d = 3 + 5. Solve d*p = h*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 10:27 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.66333491 to four decimal places.\nAnswer: 0.6633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36510.\nAnswer: 2, 3, 5, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 5. Let d = 29 + f. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 976851.2 millennia to months.\nAnswer: 11722214400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15484)\/(-336))\/79*-4*1\/91?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.0768 - -0.0768. What is the fourth smallest value in p, -10, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - -2 - (-8)\/(-2). Is x\/(-18) + (-3585)\/(-27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/5)\/(4 - (-21)\/(-5)). Suppose 6 = 4*i + r + a, -12 = -2*i + 2*r. Solve 3*d + 20 = -i*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 825060*a**4 + 111284*a**2 + 4 wrt a.\nAnswer: 19801440*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -113*s + 5554. What is z(49)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9744 - -9846. What is the highest common divisor of r and 1394?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -17*r - 171. Determine l(-11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -455396 divided by -113849\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwbv when four letters picked without replacement from uvvbuugwveevev.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 170?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z**2 + z. Let h be l(1). Let k be (-57)\/h - 15\/60. Let q = k + -4. Calculate the lowest common multiple of 22 and q.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -5924, 4 in increasing order.\nAnswer: -5924, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**5)**(-27))**(1\/10) assuming s is positive.\nAnswer: s**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/6*2 - -16. Suppose p*c = 14*c + 36. Suppose -3*o + c = 0, 44 = -d + 5*d + 5*o. Solve d + 4 = 5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2195 = r + 5*k, -4*k = -3*r + 7924 - 1415. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, t: 2, z: 7, f: 1, h: 1}. What is prob of sequence zhm?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*u + 12. Let x be (-1 + 0)\/(u\/12). Suppose 4*z - 160 = 4*h, z - x*h = 6*z - 192. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/52 and -49\/78.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.22 + -2.78. Which is the third biggest value? (a) -0.2 (b) -1\/51 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16555034443+-0.2\nAnswer: -16555034443.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/16 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + (sqrt(209)*-1*-6 - sqrt(209)))\/(-6*(sqrt(176) + sqrt(11))) + (-4 + (sqrt(2299)*1)**2)*-6.\nAnswer: -13770 - sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 31*l**2 + 12*l + 12. Let q be w(-1). What is the highest common divisor of 403 and q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 5*u**2 + 2. Let s = 4 + 0. Let o be b(s). Find the common denominator of 5\/4 and (-4)\/o + 562\/(-36).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 33*u. Let y(z) be the second derivative of -5*z**3\/6 + 35*z. Let t(s) = 2*p(s) + 15*y(s). Let r(v) = -8*v. Calculate r(t(j)).\nAnswer: 72*j","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 932819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -79 - -80. Let h(t) = 2*t + 2. Let o(p) = -2*p - 2. Let x(u) = -5*h(u) - 6*o(u). Let v be x(-2). Which is the closest to v? (a) y (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/15)\/(4\/(-10)). Let l be 160\/(-28) + 2\/(-7). Let d be l\/15 - (-6)\/(-10). Which is bigger: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8966209 millennia in months?\nAnswer: 10759.4508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1036609, -1036597, -1036585, -1036573, -1036561?\n\"Answer: 12*g - 1036621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -9*n - 4. Calculate d(4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 10*k + 159. Determine u(-19).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 974314078 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0605 times 0.0371?\nAnswer: 0.11354455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 7:34 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44627*t**5*z**2 + 10*t**3*z**2 + 47*t**2*z + 48*t**2 + 8*t*z**2 + t*z + 2*z wrt t?\nAnswer: -2677620*t**2*z**2 + 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 101 (b) 13 (c) -5 (d) -2\/15 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = 51*s - 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8630 (base 11) in base 4?\nAnswer: -2302033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24120 is divided by 4822.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by 9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.4 (b) -61\/57 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -22339, 5, 1, 4 in decreasing order.\nAnswer: 5, 4, 2, 1, -22339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -6. Let k(t) = -t**3 + t**2 - t - 3. Let p be k(0). Let l be (-3)\/(p\/(-3) - 2). What is the nearest to -0.1 in l, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 5*d - 5. Determine g(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3142*i = 1124*i - 1414*i - 168168 for i.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 930*i = -930*i - 932*i + 2835*i + 2322 for i.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 885416757 to the power of 1\/3, to the nearest integer?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/((-270)\/(-12)))\/(49\/(-35)). Which is the nearest to 1? (a) -1 (b) r (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6*6)\/(-42*13\/156)*-84.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 4 = -4*c, 2 = 2*c - 3*b + 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 605 and 299746645.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 6*f**2 - 7*f - 8. Let h be k(-5). Let l(n) = -n**2 + 3*n**2 - 3*n**2 + 2*n**h. Let a(i) = 66*i. What is a(l(z))?\nAnswer: 66*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 848\/9 - 94. What is the third biggest value in 1\/3, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ccircrccrcciccccri.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 3*g + 16 + 14*g**3 - 15.\nAnswer: 14*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**4\/3 - 3*x. Let w(i) = 14*i**2 + 8*i. Let t(z) = -42*z**2 - 28*z. Let a(d) = -2*t(d) - 7*w(d). Give a(k(q)).\nAnswer: -224*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -835?\nAnswer: 83a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 19a?\nAnswer: 19b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 1578*f - 11050. Let t be m(7). Let g(l) = l**3 - 5*l**2 - 6*l + 4. Give g(t).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lff when three letters picked without replacement from jffl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 + 371*j - 371*j.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(208)\/sqrt(4))**2*-3 + (sqrt(208) + -1)**2 + 1 + sqrt(117).\nAnswer: -5*sqrt(13) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20\/11 - -109\/66. Let n be 2\/8 - 12\/4. Let k = 25\/12 + n. What is the nearest to 0 in g, -2\/5, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 - 423*w**3 - 9744*w**2.\nAnswer: -3*w**2*(w + 29)*(w + 112)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 131 = -39. Let z(p) = -70*p - 85. Let t(l) = -5*l - 6. Determine f*t(y) - 6*z(y).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14717895953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 - (34 - (69 + -65))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 14 = 5. Let k(n) = -n**3 + 3*n**2 + 2*n - 3. Does 2 divide k(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 + -30. What is the closest to j in -0.3, -1, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.06 (b) -18 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36*h*z**3 - 122*z**3 wrt h?\nAnswer: -36*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 5 + 3*r - 2*r**2 - 13*r - 10. Let j be g(-5). Suppose -3 = -3*v + 3*x + 180, -3*v - 3*x + 201 = j. Is 16 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**8\/84 - 796*s**7\/105 - 79*s**6\/6 + 794*s**5\/15 - s**2 - 1990*s. Solve f(h) = 0.\nAnswer: -397, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, r: 2, n: 4, v: 2, y: 1, q: 1}. Give prob of picking 1 r and 1 o.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g = -9 - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 8) in base 4?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93331877?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8478*m**4 + 2*m**3*p - 3*m**3 - 5*m*p + 9*m + 35 wrt m.\nAnswer: 101736*m**2 + 12*m*p - 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(((v\/v**(2\/13))\/v)\/v*v)*v)**(-45)*v**(-4\/9)\/v*v**(6\/23) assuming v is positive.\nAnswer: v**(-385100\/2691)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(250)\/sqrt(5) + 2) + (sqrt(162)*5)\/(sqrt(45)\/sqrt(45)))**2.\nAnswer: -160*sqrt(2) + 3204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-1 - (-3)\/2). Let b be (-5)\/o + 34\/4. Let c = b + 2. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 29*i + 18. Let y be o(-13). Suppose -y = -24*v + 374. Solve 2*p - p = 5*c + v, 5*c + 25 = -5*p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61262 to the power of 1\/2, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 78579.972?\nAnswer: 7857.9972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 982 - 593. Suppose 4*i = g - u, 0*g + i - 751 = -2*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101111 (base 2) to base 15.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-1 - (-12)\/8). Let v be n\/12*2*9. Let i be 6\/3*v\/(-10). Solve 5 = i*g - 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1000*k + 1 - 997*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 7955 = -6529. List the prime factors of n.\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**3 - 3*u**2 + 185*u + 556. Let b(v) = 34*v**3 + 20*v**2 - 1294*v - 3894. Let n(g) = 3*b(g) + 20*x(g). What is the derivative of n(i) wrt i?\nAnswer: 6*i**2 - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682 a factor of 4505715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -290 - -422. Calculate the remainder when j is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mffu when four letters picked without replacement from mmutttmttftfutf.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13808929.\nAnswer: 47, 229, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/8 - (-6)\/(-24). Let g = b + 0. Suppose 5*n = -5*p + 10, p = -4*n - g*p + 10. What is the closest to -1 in -2\/9, n, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 528617767 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288452941.\nAnswer: 7, 127, 324469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**2 - z. Let f(u) = -112*u**2 + 2*u + 1. Determine f(n) + 2*p(n).\nAnswer: -116*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 6184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6902 + -3941. Is 53 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1590.2745 months?\nAnswer: 132.522875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 18*q + 5. Give t(2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-8 + 3 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + -1 - (-2 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 a factor of 10523327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14 - 0 - (-1 - -1). Let g = 18 - n. What is the remainder when 9 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*s - 7*s - 10 = 0, 0 = -4*f + s + 38. Let z(d) = -d**3 + 11*d**2 - 10*d - 3. Let h be z(f). Sort -2, h, 0.\nAnswer: h, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssfo when four letters picked without replacement from offsffsso?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*h**2 - 4791*h + 133792 with respect to h.\nAnswer: 8*h - 4791","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -39*f**6\/2 + f**4\/2 - 7*f**3 + f**2 + 7454*f + 10275. What is the second derivative of u(o) wrt o?\nAnswer: -2340*o**3 + 12*o - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 + 83. Let s(i) = i**3 - 7*i**2 + i + 7. Let p be s(6). Let u = o - p. Is u a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 137210928 by -1115536.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 - -99ba7a?\nAnswer: 99ba72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 + 39. Let y = b - -39. What is the greatest common factor of y and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t - 151*t**2 - 8*t - 2 - 158*t**2 + 310*t**2. Let h(j) = -j**2 - 6*j + 2. Let v be h(-7). Calculate l(v).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 39*s**2 - 287*s - 11. What is the thousands digit of u(-35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uip when three letters picked without replacement from piuiippuupi.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3384 and 82955?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is -51136 (base 13) in base 10?\nAnswer: -145216","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.24 - -4. Let w = -0.16 + x. Which is the nearest to 1\/2? (a) 0.4 (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -17898592672.9?\nAnswer: -17898592672.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, 2\/5, 4\/7, 98, -2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 98318.33 millilitres?\nAnswer: 98.31833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ood when three letters picked without replacement from {n: 1, j: 1, o: 2, d: 2, p: 1, s: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5 = 4*u - 7, -4*v = -u + 9. Let x = 1.3 - 1. Let m = 0.2 - x. Which is the second biggest value? (a) -3 (b) v (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*x**4 - 18*x**2 + 4*x**4 - 1525*x + 898 + 462 + 1525*x wrt x?\nAnswer: -40*x**3 - 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 9 + 16 = -k, -k = r - 9. Suppose j - r = -5*b, 5*j - 3*b - 2*b = 130. Calculate the remainder when j is divided by 22\/5 - (-2)\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 - 199*u - 2223. Let g be z(-86). Let j be 2\/7 + (-17315)\/(-35). Calculate the greatest common divisor of j and g.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7\/32 + 341\/96. Does 4 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**2 + 8*q + 8. Let f(d) = -4*d**2 - 10*d - 9. Let v(h) = -3*f(h) - 2*w(h). Give v(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 105*u**2 - 2597*u - 1880. Calculate q(42).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**6\/20 - h**5\/20 + h**4\/6 + 2*h**3\/3 - h**2. Let g(z) = 11*z**3 - 6*z**2 + 7*z + 7. Give -4*g(w) + 7*u(w).\nAnswer: -2*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - 25) + 44 - (-1 - 6 - 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5615001 + 11?\nAnswer: -5614990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. Let n = -109 + 109. Solve 4*d - 5*z + 10 = n, j*z + 3*z - 5 = 3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, w: 4, n: 6}. What is prob of picking 2 n and 1 w?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1465664546 minus 3226?\nAnswer: 1465661320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 - (1*(-1)\/1 + (-5080)\/127). Solve -29*k = -z*k - 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 + 76. Let f = -43 + 56. What is the remainder when v is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1305797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) 4 (b) 0.3 (c) 1\/17 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12562 from 25.\nAnswer: -12537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 - 2*p**2 + 3*p + 3. Let y(x) = 2*x + 24. Let n be y(-13). What is h(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/390469 equal to 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*c**5 + 1005*c**4 - 8*c**3 + 12*c - 107217 wrt c?\nAnswer: -860*c**3 + 12060*c**2 - 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 7 - (-3 + 1)) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.4 + -5.5. Which is the nearest to g? (a) 0.1 (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 2 = -2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3112 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 13511 and -1431585863.\nAnswer: -1431572352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 18 = 2*q + 3*q, 0 = -3*b + q - 14. Let a = 43 - 40. Let l be (-1 + a - 0) + -3. What is the closest to l in b, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 7:58 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 533 + -532.97. Let i be 1\/((-10)\/2)*-1. Let a = -8.2 - -8. What is the nearest to p in i, 4, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, f: 3, i: 4}. What is prob of picking 1 i, 1 l, and 2 f?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbsbssbssbbsbbssssb. What is prob of sequence ss?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5*g = 0. Let r(s) = -s + 5. Let i be r(g). Let o be (-8)\/i - (0 - 2). What is the closest to -1 in 0.3, o, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, f: 4}. Give prob of picking 1 m and 1 f.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31 and 6.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 46. Let w = -1.1 + -2.9. Let y = 0 - w. Put y, j, -4 in ascending order.\nAnswer: -4, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 9 = 5*y. Suppose 0 = 4*u - 3*z - 36, 2*z + 2 - y = -2*u. Is (4\/u)\/(18\/837) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/3))**(13\/4)\/(q**(-1\/4)*q)**(16\/9))\/((q**(-1))**(-4\/9)*(q**(1\/2)\/q)\/(q*q*q*q**(-1\/2))) assuming q is positive.\nAnswer: q**(83\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 21*k - 1. Let q be m(-1). Let o = -14 + -2. Let t = o - q. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6711.395 - -0.055\nAnswer: 6711.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 1. Give i(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58741, 117004, 175267?\nAnswer: 233530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 14*b**2 - 17*b + 21. Let r = 143 + -128. Calculate q(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (-46 - -20) - (16 + -1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 7*p + 9. Suppose 3*t - 12 = 5*h, -p*h - t - t = -8. Solve 4*n - 14 = -5*s + 3*s, h = 4*s + 3*n - 23 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45783 is divided by 2543.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1065 - -1718. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzrzkrrrvvvzkrrr. What is prob of sequence vv?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-8 - -2) - (12106 + -12047)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2987062344 and 3528?\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z = 20. Suppose -n + 6*n = -3*i + 158, -z*n + 2*i = -122. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -323 + 322. Put n, 5.9, -0.1, 0.4 in descending order.\nAnswer: 5.9, 0.4, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -391 (base 14) in base 6?\nAnswer: -3151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 22*v - 351. Let z be w(16). Let d(x) = 330*x - 33. Is d(z) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*j + x, 0*j + j - 2*x = 8. Suppose 0 = j*h - i - 4 - 33, 5*h - 75 = -i. Calculate the remainder when h is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5*2*sqrt(500))**2 + (sqrt(125) - (-1 + sqrt(125)))**2 + (-1 + sqrt(500))**2.\nAnswer: -20*sqrt(5) + 50501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-7*10\/(-7))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15390 divided by 30?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 10614, 8, 5, -4.\nAnswer: -9, -4, 5, 8, 10614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + (-12)\/3)*(0 - 1). Suppose -3*f - 2*z + 4*z = -41, j = 5*z + 20. Let l be (-2)\/f - 136\/(-22). Solve -l = 3*o + 9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 1:29 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2773*i + 115822 = 2780*i. What are the prime factors of i?\nAnswer: 2, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.3 - -8.3. What is the nearest to z in 4, -0.13, -5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -536 - 762 = -3*g + n, 0 = 4*g + 5*n - 1699. Let i = 698 - g. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gp when two letters picked without replacement from {e: 1, g: 3, a: 3, b: 4, p: 2, r: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -772 + 1621. What are the prime factors of w?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 4:44 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q*r**3*x**3 + 10*q*r**2*x + 4*q*r**2 - 2*q*r*x**3 + 3*q*r*x - 1032*r**3*x**3 - 73*r**3 + 3*r**2*x**3 + 8*r**2*x wrt r?\nAnswer: 12*q*x**3 - 6192*x**3 - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -162, -423, -808, -1323?\nAnswer: -1974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*u - 5 = 0, 0 = 4*u - 6 - 2. Suppose 2*t + i*m - 55 = 0, 3*t + 0*t - 96 = -3*m. Calculate the remainder when t is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-10)\/(d*d**(3\/7)))\/(d\/(d**2*d*d))**(11\/2) assuming d is positive.\nAnswer: d**(71\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*l**2 + 3*l - 14.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1122437*s + 561206*s + 561231*s + 778*s**2.\nAnswer: 778*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-16))\/(-1) - 4\/32. Suppose r = -8*i + 689 - 185. Is i a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 25125\/20 + (-4)\/16. Suppose 3*n = -3*v + 1890, -2*v + 3*n - o = -4*v. Suppose -5*a - f = -v, -281 = -3*a - 4*f + 96. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 199 + 27*v + 5*v**2 - 199 in the form h*v + n*v**2 + p and give h.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23704403 - 23704403 - 4*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4089?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 10491023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87276 is divided by 1322.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - a**2. Let z be o(-1). Let w = z + -1. Let g = w - -12. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 9*p**2 + 10*p + 7. Calculate h(7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 197698 to the power of 1\/2, to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4.3, -4, -2.7, -3, 0.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 303104332104 + 4?\nAnswer: 303104332113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -3490.2527 to the nearest ten.\nAnswer: -3490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -478 + 1772. Let z = 5123\/4 - u. Calculate the common denominator of 107\/10 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(10*b + 4*b + 18*b + (3 + 3 - 4)*(4*b - 3*b - 2*b) - 3*b - b + 2*b)*(-3 - 2 - 1)*(5 - 22 - 7).\nAnswer: 4032*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-5 - 2) + 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 6:49 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2693 - 289. List the prime factors of (-3 + 12 - 12)*d\/(-6).\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -13*x + 1. Let a(o) = -o**2 + 15*o - 1. Determine -6*a(w) - 7*c(w).\nAnswer: 6*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60865152 divided by 1488.\nAnswer: 40904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255000 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8293908 and 8293908?\nAnswer: 8293908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 6:08 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**4 - 4*o**4 + 9*o**4 - o**2 + 3*o**3 - 2 to u*o**2 + y + g*o + v*o**4 + s*o**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 12*t**2 - 15*t - 14. Calculate the remainder when ((-13)\/((-195)\/2500))\/((-56)\/(-84)) is divided by w(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 4737960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -11530 at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6535*c**2 + 9862*c**2 + 12810*c**2.\nAnswer: 29207*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3708590308?\nAnswer: 2, 1627, 569851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - v + 4*v)*(5*v - 5*v - v**2) - 351*v**2 + 351*v**2 + 56*v**3 + (-2*v**3 - 3*v**3 + 2*v**3)*(0 + 3 - 2).\nAnswer: 50*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -12*p - 34. Is (-6)\/12*353*p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.84 - -17. Let h = 9.64 + v. What is h rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8868.1 + 8868. Which is the closest to q? (a) -3\/19 (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -296 + 324 - (2 + -4 + -1 + 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + p - 0*p + 8, 5*f = 4*p + 42. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 8. Suppose 4*i = n + 12, 2*n - 40 = -g*i - 3*n. Let y(s) = -s**2 + 5*s - 3. Let w be y(4). What is the highest common factor of i and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -392 - -388. Put x, 4, 10 in descending order.\nAnswer: 10, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 3)*(0*n**2 - n**4 + 727*n**3 - 704*n**3 + 8*n**2) as m*n**4 + d*n**3 + f*n + g + o*n**2 and give d.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6864345 by 3.\nAnswer: -2288115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 14716 + 2420 = 29234. What are the prime factors of g?\nAnswer: 2, 4153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53320*f + 53332*f - 288 = 0. Determine w so that f + 2\/3*w**2 - 8*w = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (7 + -26 - (-6 + -1)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -8. Let z be (-1)\/y*0 - -2. Suppose c = z*c - 54. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 107*c**2 - 11*c + 18. Let s be z(2). Let g = s + -422. Factor 0 - 2\/9*h + 4\/9*h**g - 4\/9*h**4 + 2\/9*h**5 + 0*h**3.\nAnswer: 2*h*(h - 1)**3*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**4\/4 - 8*l**3\/3 - 2*l**2 - l - 2. Let y be s(9). What is the greatest common divisor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (448 + 635 - 315)*(5*r**2 - 3*r**2 - r**2).\nAnswer: 768*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2069 - -2188.3. What is t rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 140*a + 25*a + 37*a - 29*a as y + b*a and give b.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6281 is divided by 1884.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -43480 * -0.33\nAnswer: 14348.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45250, -44612, -43974, -43336, -42698?\nAnswer: -42060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 349\/32 - 812725\/74528. What is the common denominator of -79\/822 and y?\nAnswer: 13974","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*c - 33*c + 13*c. Suppose 2*i + g = -13 + 8, i + 5*g + 25 = c. Solve -3*x = -i*x - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/36 and 125\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*q + 10. Suppose q*d = 3 - 1. Suppose 0*s + 24 = s + 3*c, 0 = -s + 2*c + 14. Solve 2*p - 2 = -4*l - s, 3*l - d = 5*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 704 - 461. Calculate the remainder when m is divided by 34.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3*q**2. Let m(u) = -3*u**2. Let s(f) = -2*m(f) + 3*r(f). Let n(t) = 10*t. Determine s(n(l)).\nAnswer: -300*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -497694?\nAnswer: -497695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2405, 4650, 6453, 7592, 7845?\nAnswer: 6990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-396)\/12 + 23 - 13\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -7*o - 77. Let n be v(-19). What is the greatest common divisor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a27 - 239?\nAnswer: 3799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**8\/1344 + w**7\/280 + w**6\/240 + 4*w**5\/15 - 22*w**2. Let q(d) be the third derivative of m(d). Let q(j) = 0. Calculate j.\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -31103*q**2 + 31104*q + 7. Give j(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 8 = 3*w - s, w - 4 = s. Let n = 4 + 6. Let a(i) = 1 - n*i + 15*i - 5*i - i**2. Calculate a(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1776233 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -3. Suppose -5*v + 15 = -3*i, 3 - 12 = -3*v + 2*i. Suppose w - v*p = -p + 8, w - 7 = p. Solve b*q = w*q - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 1:41 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1312*r - 17076 - 13100 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 2*a + 36 = 0, 4*p - 131864 = 2*a - 131856 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 336*q - 2 + 5 - 279*q + 781*q as v + j*q and give j.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 3) in base 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7421*l**4 - l**3*u + 12085*u with respect to l.\nAnswer: 29684*l**3 - 3*l**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2087077389?\nAnswer: 3, 37, 18802499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 733, 918, 1235, 1678, 2241, 2918?\n\"Answer: -c**3 + 72*c**2 - 24*c + 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12826174 by -117.\nAnswer: 12826174\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -3\/5 (b) 5 (c) 307\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*j + 40 = 1, -u + 3*j - 11 = 0. Suppose -2*g - 8 = g - 2*n, -3*n = g - 12. Let z = g - u. Calculate the remainder when 36 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 76\/85 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-17 + 78 + -3)) + 2 + 1.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*c - 948 = -0*b, -1447 = -3*b - 5*c. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10258277077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35943 + 431203\/12. What is the common denominator of 27\/7498 and g?\nAnswer: 44988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17551509 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1194, 2385, 3576, 4767?\nAnswer: 5958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 h, and 1 q when four letters picked without replacement from qqhpbhbbhbbbp.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/(-126)*(3 - (-189)\/(-60))*(-35)\/12?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13077.734079 - 13077.6. Let v = f + -0.134. What is v rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1379*g**4 + 1773?\nAnswer: 5516*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 245638700 rounded to the nearest one million?\nAnswer: 246000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -54*d**2 + d + 1304.\nAnswer: -108*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44\/3 - -15. Let u be (-1 - 3\/(-2))*-6. Let m = -44 - -44. Which is the nearest to n? (a) m (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1133, -1126, -1143, -1196, -1297, -1458?\n\"Answer: -2*w**3 + 21*w - 1152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -118 divided by -13623\nAnswer: 118\/13623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/203 and 16\/23.\nAnswer: 4669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-10))\/(2\/(-45)). List the prime factors of ((-6)\/y)\/((-1)\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4982\/7 + 713. Let t = 414783\/26 + -15956. Find the common denominator of w and t.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 297*n**2 - 22896*n + 525312.\nAnswer: -(n - 192)*(n - 57)*(n - 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 4*a - 16 = 0. Suppose 3*w = -y - 2*y + 3, -a*y = -3*w - 11. What is the third derivative of f**2 - 23*f**2 - 11*f**6 + 13*f**y wrt f?\nAnswer: -1320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 4. Let j = 5666.3 + -5443. Let k = j - 223. What is the second smallest value in k, 0, -4, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 4. Let x(a) = 1. Let j(r) = w(r) + 4*x(r). Let z = -6 + 9. Let i(g) = -g + 2*g + g - z*g. Give i(j(n)).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0.4. Let z = 2.8 - 2.5. What is the third biggest value in p, -2\/5, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7474370 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 9 = 4*j, 4*k = -29*j - 7474 + 7528 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86563.42 + -88077. Let m = l - -1416.6112. Let f = m - -97. Round f to 3 dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -967058\nAnswer: 17\/967058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 1, -39, -86\/7, 0.7 in decreasing order.\nAnswer: 13, 1, 0.7, -86\/7, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-10)*(-5)\/10. Let g be -3*1\/(-273)*2. Let s = -107\/728 + g. What is the nearest to -1 in o, 0.4, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 168 - 1850\/11. Let y = 955 - 952. Which is the smallest value? (a) y (b) w (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 108 + r + 7 + 9 as k*r + f and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6904.37 + -6904. What is the second biggest value in -7, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 242 and 2057.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 463030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39128 and 13432.\nAnswer: 899944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.08 (b) 6 (c) -2\/21 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 485707?\nAnswer: 17, 28571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-296)\/(-185)*(-7 - -2). Let q(w) = w + 8. Let p(v) = 3. Let o(m) = 6. Let k(z) = -3*o(z) + 5*p(z). Calculate t*k(u) - 3*q(u).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*x**5 - 37*x**4 - x**3 + x**2 + 94942*x + 1?\nAnswer: 620*x**3 - 444*x**2 - 6*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 581610825?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194418, 388831, 583244?\nAnswer: 777657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -427231417.044 - 21.6.\nAnswer: -427231438.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -17*z**2 + 201*z + 27. What is r(13)?\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 35*y**2 - 30*y + 1. Let o be i(-16). Is 120\/(-240)*(-1*1 - o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 + 29*l + 27. Let j(v) = -2*v**2 - 15*v - 13. Let z(u) = -3*a(u) - 5*j(u). Determine x so that z(x) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 15*v**2 - 16*v - 24. Determine f(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a\/a**(-2)*a)))\/a)**(-2\/61)\/(a**(-1\/3)*a*a\/a**(2\/31)))**(-46) assuming a is positive.\nAnswer: a**(443762\/5673)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (127 + -4 + 0)*(-3)\/(-9). Let l = 41 - m. Factor 0*x**2 + 2\/3*x**4 + 0 + l*x - x**5 + 1\/3*x**3.\nAnswer: -x**3*(x - 1)*(3*x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 21519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -303.08 - -0.08. Let y = x + 230. Which is smaller: y or 2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 4*l**2 - 13*l - 42. Let d be y(-4). Suppose -3*h - 2*h = 15. Let w be 17\/(-3) + d\/15 - h. Put w, 1, -1 in increasing order.\nAnswer: w, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 13) + (-3 - 46) - -20.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 18*u**2 - 3*u - 25. Let y(b) = -17*b**2 + 2*b + 31. What is 4*o(a) + 3*y(a)?\nAnswer: 21*a**2 - 6*a - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**17\/w*w)\/(w\/w**0))**46 assuming w is positive.\nAnswer: w**828","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 89*q - 13. Calculate u(89).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -491, -5, 266, -3, 5 in descending order.\nAnswer: 266, 5, -2, -3, -5, -491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67844 is divided by 33346.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 10. Let v be (a\/18)\/((-2)\/6). Let c = -1816 - -1816.4. Sort v, 4, c.\nAnswer: v, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2, 29, 62, 97?\n\"Answer: r**2 + 28*r - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1955655 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 194.53 and -4.09.\nAnswer: 190.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/10)\/((1 - 0)\/((-125)\/30))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -25893237?\nAnswer: -77679711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4291 + 551456598.\nAnswer: 551456599.4291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 2*g = -16, 4*w - 2*g - 1 = -13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -2. Which is greater: 0.03 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101001 - 1011010000110100111001?\nAnswer: -1011010000110011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46325.\nAnswer: 5, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 3*a + 1. Let o be h(-4). Let t be (-6)\/(-15) - (-28)\/o. Solve -10 = t*i - i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -38*j**2 + 11*j**2 + 0*j**3 + j**3 - 23*j**2 + 101 - 5226*j + 5320*j. What is y(48)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 560*g - 110*g - 1193 - 607 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by (-783)\/(-18) - 468\/104.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1802.1185 and -0.08.\nAnswer: -144.16948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10595 - -10593. Sort -11, i, -4 in decreasing order.\nAnswer: i, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*7\/126)\/((-3)\/36*10)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/36)\/(10\/6*(774\/135)\/43)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1139 * -37.\nAnswer: -4.2143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4627 - 9*x + 1156 + 1164 + 1155 + 1152.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-2))\/((-45)\/300). Let d = -253 + 397. Suppose k + d = a*k. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(49)\/sqrt(7)*3 - sqrt(7))*5.\nAnswer: 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 5 - 6)*(0*w**4 + 0*w**4 + 2*w**4) + 0*w**3 + 0*w**3 + w**4 + 0 + 2*w**4 + 0.\nAnswer: -15*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-30))\/c**(-7))**(45\/7))**(2\/9) assuming c is positive.\nAnswer: c**(380\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 26, 70, 126, 200, 298?\n\"Answer: i**3 + 37*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 957 or 954?\nAnswer: 954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2312069648?\nAnswer: 2, 7, 733, 28163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*(2 - (-48)\/(-20)). Suppose 0*m = -k*m + 4. What is the first derivative of -8*s**2 - 17*s + m + 30*s - 13*s wrt s?\nAnswer: -16*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*v - 4048 = -203*v. Calculate the highest common divisor of v and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o**3 + 176*o**2 + 11*o - 23. Is g(36) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*a**2 - 1 + 323*a**2 + 850*a**2 - 89*a**2 + 150*a**2 in the form r*a**2 + l*a + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**4 - 8*l**3 + 161*l**2 - 498*l - 2. Let i(m) = -4*m**4 + 23*m**3 - 476*m**2 + 1493*m + 7. Let g(u) = 4*i(u) + 14*n(u). Solve g(f) = 0.\nAnswer: -20, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 340 = -5*n, -n = -3*s - 5*n + 225. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17537460 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 17 + (-46 - 5 - -55) - 100?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8266038.\nAnswer: 2, 3, 11, 125243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 708064185 a multiple of 4065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51169, 107377, 163595, 219829, 276085, 332369, 388687, 445045?\nAnswer: 501449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 - 4*c**2 + 9*c + 81. Let d(w) = w**3 - 3*w**2 + 10*w + 61. Determine -4*d(z) + 3*j(z).\nAnswer: 2*z**3 - 13*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110345203?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-2) + 501\/(-51). Let c = 815\/102 + b. Find the common denominator of 34\/3 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89914 at most as big as 89868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 = -2*l, -3*m + m - 7 = 3*l. Let s(f) = -382*f**2 - 3 + 383*f**2 - l - 7*f. Calculate s(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 + -1. Let i = -3.9 - u. Let z(y) = -2*y**3 + 3*y - 4. Let x be z(1). Which is the third biggest value? (a) -0.5 (b) i (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 55\/45 - 4\/18. Let t = 16 - 17. Let j be (-3 - (3 + -11))*-1. Put t, j, d in descending order.\nAnswer: d, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79.2194 + 1.1906. Let i = -0.59 - z. Let m = -80 - i. Which is the closest to -2? (a) 2\/13 (b) m (c) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*g**5 + 4*g**3 + 53*g**2 + 274*g - 5.\nAnswer: -100*g**3 + 24*g + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/52717 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 845.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4 - -2) + -10)*(-6)\/(-28). Let p be 1 - 45\/12 - 3\/(-4). Does p = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 103 - 33. Sort 4, 2, 0, x.\nAnswer: 0, 2, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 6*f**2 - 7*f + 4. Suppose 3*i + 4 = -4*t + 20, -12 = -3*t - 2*i. Give p(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**4 + 4*z**4 - 3*z**4)*((-1 + 2 - 3)*(0 - 1 + 0) + 0 + 3 + 0).\nAnswer: -15*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 97.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*x + 2 + 3 + 34*x - 5.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1327038 times 0.05\nAnswer: -66351.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 39*j - 77. Let k be a(-36). Solve -28*m + k*m - 12 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-21)*9*2\/12?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14536 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -26*r**2 - 1\/72*r**4 - 1\/630*r**7 + 1\/180*r**5 + 0*r**3 + 0*r + 1\/360*r**6 + 0. Factor h(a).\nAnswer: -a*(a - 1)**2*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2 - 1) + -5)\/(870\/80 - 11). Calculate the greatest common divisor of b and 5312.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269166844.\nAnswer: 2, 19, 3541669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1187 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 905, 1807, 2711, 3617, 4525, 5435?\n\"Answer: x**2 + 899*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 12*m**2 - 16*m - 18. Calculate d(-11).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -217 (c) 259\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4221 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from {n: 1, s: 1, i: 2, p: 1, g: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 24*l**2. Let c(i) = 130*i. What is s(c(o))?\nAnswer: 405600*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) 2\/9 (c) -1 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -223 + 225. Suppose -550 = -3*t - 2*h + 541, -f*h = -2. Is 33 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -327, -326, -325, -324?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*c = 16 + 8, -5*s + c = 41. Let l be 8\/(-3)*s\/(-6). Sort l, -3\/2, -0.03 in descending order.\nAnswer: -0.03, -3\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 5*d + 29 = 4*w, -17 = -w + 2*d. Suppose r = -w + 11. Solve -13*f + 8*f - 15 = r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 - 8*w**3 - 2*w**3 + 2*w + (3*w**2 - 3*w**2 - w**2)*(5 - 2*w - 5).\nAnswer: -7*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.119*30.8.\nAnswer: 3.6652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49 (base 16) to base 9.\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130057.\nAnswer: 130057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 99 = 4*x - 263, -3*x - 4*u = -136. Calculate the remainder when 127 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162854168.\nAnswer: 2, 3, 7, 179, 38669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1 (b) 1\/5 (c) 24.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6828736 to the power of 1\/3, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18956 and 2007982?\nAnswer: 1354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.39976 rounded to 0 dps?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (4 + (-3 + 1*sqrt(475) - (sqrt(475) + 2 + 2*sqrt(475))))*-6 + 1)**2.\nAnswer: 840*sqrt(19) + 68449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1571*q - 3168 = 1373*q for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 3*w + 74. Let v = -42 - w. Which is the closest to -2\/5? (a) 1\/2 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 take away -12.244?\nAnswer: 13.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l + 1 - 33*l - 1.\nAnswer: -23*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 + 727 = -251*y - 1033. Let n(u) = u**3 + 10*u**2 + 8*u - 16. Calculate n(y).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - -37.7. Sort -0.1, v, 0.3 in ascending order.\nAnswer: v, -0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -163d6 + 211?\nAnswer: -161c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -328, -328, -326, -322, -316?\nAnswer: -308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(468) + 0 - sqrt(13))**2 - sqrt(13)).\nAnswer: -sqrt(13) + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41\/105 + 4\/21. Let g be 15\/(-27)*(-6)\/(-4). Which is the nearest to 0.1? (a) 0 (b) g (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 397*t - 393*t + 5*w, 5*t - 2*w = 22 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.00000008 - -3. What is w rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19.59 - 0.41. Let b = 14 + l. Let r = 6.4 + b. Put -5, r, 0 in ascending order.\nAnswer: -5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 4 + 4)*(4 - 1 - 2)*(-1 + 1 - 4*u) - 2 + 2*u + 2 in the form l*u + d and give l.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 130 and -735?\nAnswer: -95550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 248393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*sqrt(19) + 4 - (-2*(sqrt(19) + 1) + 4))**2.\nAnswer: 18*sqrt(19) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n + 2. Let f(h) be the second derivative of h**3\/3 - h**2\/2 + 41*h. What is -5*f(k) - 2*o(k)?\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 19*x**2 + 22*x + 70. Let g be o(-18). Suppose -5 = 54*a - 55*a. Put 2, g, a, -1 in decreasing order.\nAnswer: a, 2, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-4)*32\/(-392)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 3:25 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 7 + 47 = -5*q, 3*j - 5*q - 18 = 0. Let c = -41 - -72. Calculate the remainder when c is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**5 - 58585*s**4 + 4482465*s**3 - 12393295*s**2 - 38468350*s - 21534000 = 0. Calculate s.\nAnswer: -1, 5, 74, 11640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.14972766575 from 4.\nAnswer: 3.85027233425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*y**2 + 5*y**3 + 59*y**2 + 10*y - 7307 - 3*y**3.\nAnswer: 2*y**3 + 10*y - 7307","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/12542 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206503, 413003, 619503, 826003, 1032503?\nAnswer: 1239003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 240 in descending order.\nAnswer: 240, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 1376400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 98*b**3*x + 2*b**3 + 6*b**2*x - b**2 wrt b.\nAnswer: 588*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 6*v**2 - 5*v + 3. Let g be 75\/20*(-48)\/(-60). Determine i(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwenxbwx. Give prob of sequence bwb.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 - 284. Round i to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.68 rounded to the nearest integer?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13\/(((-1330)\/(-40))\/(-19)). Which is greater: k or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 7\/(-1) - 12\/15?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1064*c**2*r**4 - 18*c**2*r + 2*c*r**4 - 39*r wrt r.\nAnswer: -12768*c**2*r**2 + 24*c*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 divided by -4454?\nAnswer: -117\/2227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 5126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12019465?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 5*i - 16. Suppose -3 = m - i. Suppose c = 2*x + m, -3*c - x - 2 = -6*c. Which is greater: c or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-22)\/1*((-68440)\/16 - 13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 79*x**2 + 721*x - 1875. Calculate m(-68).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s = 15. Let k(c) = 1 + 1 + c - 6 + 0. Let j(v) = v - 4. Let b(z) = -5*j(z) + 6*k(z). What is b(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -16\/9, 2\/7, 2, 2\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -40*r**6 - 101*r**5\/60 + r**4\/4 + 517*r**2 - r + 1. Find the third derivative of u(m) wrt m.\nAnswer: -28800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2720.3652 months to centuries.\nAnswer: 2.266971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c = -8. Let m(j) = 46 - 162*j - 19 - 4. Is m(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 divided by 5?\nAnswer: 252\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = f - 12*p + 11*p, 5*f = 2*p + 1015. List the prime factors of f.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/10 + (-4 - (-62)\/10). Suppose -5*x + 12 = w. Suppose -d + 5*o = o + x, 2*d = 4*o + 16. Calculate the greatest common factor of 198 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -6*n**5 - 4*n**4 - 5*n**3 + 5*n**2 - 5*n. Let t(u) = 5*u**2 + u**5 + u**3 + 2*u + 0*u**3 - 6*u**2 + u**4 - u. Let b(v) = -c(v) - 5*t(v). Factor b(g).\nAnswer: g**4*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -282 - -4228\/15. Suppose 45*d - 36*d = 135. Let y be (55\/d)\/11 + 0. Put 1\/7, j, y, 1\/4 in ascending order.\nAnswer: j, 1\/7, 1\/4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (2 - (-2 - -8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -41 (b) -2\/7 (c) 0.4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 6. Let y be d(-7). Let t(j) = 4 + 2*j + 0*j + 2*j. Let g(s) = -7*s - 9. Let p(f) = -3*g(f) - 7*t(f). What is p(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9097176133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-212)\/318)\/((-1)\/15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 y when three letters picked without replacement from {y: 4, z: 2, q: 2, l: 3}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11952 divide 331185134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 0)*(54*m**4 + 55*m**4 - 40*m**4) in the form k*m**3 + o*m + h*m**4 + c + p*m**2 and give h.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/66 and -151\/246.\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3714*h - 3703*h = 55660. What are the prime factors of h?\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.9 - 12.1. Which is the third biggest value? (a) 3 (b) k (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - -5)\/(4\/6*-3). Let z(o) be the third derivative of 2*o**2 + 1\/20*o**6 + q*o - 1\/4*o**4 + 1\/2*o**3 - 1\/20*o**5 + 0. Find k, given that z(k) = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**4\/72 - 25*f**3\/18 + 53*f**2\/4 - 515*f. Factor z(d).\nAnswer: -(d - 3)*(d + 53)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 301620 and 240570.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -429 + 1069. Calculate the highest common divisor of l and 2960.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 72 - 93?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14+-93394\nAnswer: -93408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1979\/55 + 36. Let o = 2\/11 + l. Let i(k) = -k**3 - 7*k**2 - 8*k - 9. Let v be i(-6). What is the third smallest value in o, v, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -20. Suppose q*m = 20 - 215. List the prime factors of (-4862)\/m*5\/2.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 204 = -16*b. Let c be (0\/(b\/3))\/(-2). Suppose 4*a + a = 30. Solve -2*w = -4*l, c = -0*w - 3*w + a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490*h - 3523 + 324909 - 42586 = -2995*h for h.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 128.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-1) - (2 - 2). Let p(b) be the second derivative of b**3\/2 + 5*b**2\/2 + 17*b. Let m be p(0). Solve m*g - f = 4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, s: 1, c: 2, r: 2, a: 1}. What is prob of picking 1 a, 1 r, and 1 s?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 3, -3*z + 0*t + t = -614. Suppose 81 = 13*f - z. Suppose 3*o + 23 = h, 38 = 4*h + 4*o - f. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11509 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.131 and -63739?\nAnswer: -327044.809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/(-15)*(-20)\/(-6). Let w be (-2)\/o*(-1 - -1). Suppose 4*i + 70 - 266 = w. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 23 = -0*s - 2*s, s + r = -9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6 - 4 + 69*w**2 + 1257*w**3 - 178*w**3 + 374*w**2 - 3 wrt w?\nAnswer: 6474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -79 + 78.73. Let t = -0.05 - p. Let d = t + -0.72. What is the second biggest value in -6, d, 0.05?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26509 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5374, 5362, 5350, 5338?\n\"Answer: -12*h + 5386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 2*g - 20180 + 794, -3*g - 58146 = -6*d. List the prime factors of d.\nAnswer: 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + sqrt(704))**2 - 1*sqrt(275)*-5.\nAnswer: -2820 - 39*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 136 - 406\/3. Let b(q) be the first derivative of 1 + 0*q**2 + 0*q + g*q**3. Let c(w) = w. Calculate c(b(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 3. Let v = 3 + u. Let m = -6 - -4. Put v, 0, m in descending order.\nAnswer: v, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -2.31.\nAnswer: -6.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.23 + -195.23. Let a = -191.8 - g. Do -2\/17 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(3 + -8*21\/54). Sort 2\/7, -1\/3, 2, h, 1\/4.\nAnswer: -1\/3, 1\/4, 2\/7, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -6*z**3 - 15 + 2*z**2 - 566*z**4 - 50*z + 53*z + 551*z**4 + 28*z**2 + 3*z**5 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 6573747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1 + (sqrt(343) - -1*sqrt(343)))*3)**2.\nAnswer: -2268*sqrt(7) + 111213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**5\/20 - t**2. Let s(g) be the third derivative of g**5\/30 - 17*g**2. Determine s(x(j)).\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 16 = -u, 2*u + 58 = -5*t + 71. Let x(w) = 3*w**2 + 11*w + 7. Let q(i) = 3*i**2 + 10*i + 6. What is u*x(y) + 7*q(y)?\nAnswer: 3*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 317318541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*l**3 + 18*l**3 + 20*l**3)*(1 - 3 + 1)*(1224*l - 649*l - 659*l - 4) to p*l + y*l**4 + s*l**3 + k*l**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 4154?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 728*p - 1418*p + 9660 = 0 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68 - -96. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 12*x**2 + 5504*x - 33111. Determine y(6).\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**3\/6 - 15*a**2\/2 - 12*a. Let s be b(7). Let d(t) = -3*t - 16. Let k be d(s). Solve 2*o - 6*o = k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 63008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-4)*(-86)\/301*(-2)\/(-12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13687 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 5:07 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 15*s**2 - 1087*s - 12605. Determine v(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 381.4028ns to milliseconds.\nAnswer: 0.0003814028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*g - 940 = -2686 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 4*v = -15. Factor -16*h**2 - 16*h**3 - 3*h**4 + v*h + 45*h**3 - 16*h**3 - h.\nAnswer: -h*(h - 2)**2*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65 and 25.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*((-3 + 1 + 3)*(3 - 13 - 13 + f) + 0*f + f - 5*f + (-f + 1 - 1)*(3 - 3 - 1)).\nAnswer: 2*f + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2190246 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -47038808061555.\nAnswer: -47038808061553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-4)\/(-12)) - 4. Let m be s - 1*-6*1. Solve m = -0*j - j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 75?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 - 1327.\nAnswer: -1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(55)*4*5)\/sqrt(5))*-6.\nAnswer: -120*sqrt(11) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 48 = -13929*m + 13930*m, o + 58 = m + 15 for m.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from bybzybzzzpxdyzbbppb.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-3))\/(12\/(-450)*-5). Let v be 2\/x - (-3)\/15*2. Suppose v = -8*z + 2*z + 486. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 503, 1009, 1517, 2027?\n\"Answer: k**2 + 503*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4074, 8102, 12060, 15948, 19766, 23514, 27192?\nAnswer: 30800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - 2*b + 7*b**2 + 4*b.\nAnswer: 7*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/6*3*-2*-4. Let d be (i\/20*-1)\/((-27)\/(-5)). Which is smaller: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123563, -123434, -123219, -122918, -122531, -122058?\nAnswer: -121499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214417 is divided by 3972.\nAnswer: 3901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 308523 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -5\/24*q**4 + 0 - q**2 + 0*q + 5\/6*q**3. Let n(v) = 9*v - 9. What is 11*g(a) + 6*n(a)?\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*5\/10)\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(133)*1 + sqrt(133)) + sqrt(133) - 2*sqrt(133)*5)\/(sqrt(77)\/(sqrt(891)*2))*-2.\nAnswer: 252*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.5 + 4. Let b = 1.5 + i. Put 0.3, b, 2 in increasing order.\nAnswer: b, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**8\/168 - 7*u**5\/60 + 10*u**2. What is the third derivative of z(a) wrt a?\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513948181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**3 + 21210*y**2 + 319095*y + 766260 = 0. What is y?\nAnswer: -12, -3, 4257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from mmktqqqftpkkqmpf.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -f (base 16) to base 2\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 500 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: Suppose -u - u + 22 = 5*n, -4*n + 4*u = -12. Let l(z) = 4*z - 14. Let g be l(n). Suppose 6*h - 168 = -g*h. Calculate the highest common divisor of h and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1751 - -2?\nAnswer: 1753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 8*v**2 + 8*v - 9. Let a be p(-7). Let u(r) = 7*r**3 - 5*r**2 + 5*r. Let z(y) = -22*y**3 + 16*y**2 - 16*y. Determine a*u(l) - 5*z(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t**2 + 13*t + 4. Let p(a) = -3*a**2 + 7*a + 2. Let q(g) = -4*n(g) + 7*p(g). Let m be q(-2). Let o = 34 - 41. Put m, -1, o in decreasing order.\nAnswer: m, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (4 - -5)) + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32111638 rounded to 4 dps?\nAnswer: -0.3211","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*a + 18 + 20, -24 = -4*o + 3*a. List the prime factors of ((-3302)\/(-39) - 0\/2)*o.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2.5. Let i = -2.55 + -110.45. Let u = -114 - i. What is the closest to -1 in u, 3, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -106*(-2)\/(-3)*1*(-705)\/940.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*q + 2*q - 3*q)*(121 + 117 + 122 + 118 + 1262*q - 478) to y*q**2 + b + s*q and give y.\nAnswer: -7572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/40)\/(((-40)\/(-250))\/((-228)\/60))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.06 + -17.94. Let o = -0.2 - -0.2. Is k at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2178 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (44 + 24*q - 44)*(28 + 33 - 120) + 2 + q - 2 - 2*q - 3*q + 3*q - 3*q + 0*q + 4*q + (-4 + 4 - 2*q)*(0 - 5 + 3) + q + q + 0*q as t + y*q and give y.\nAnswer: -1410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-100)*(-1 + 5)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1169 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5842? (a) -12 (b) -6 (c) 1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -64, -63, -62, -61, -60?\n\"Answer: d - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1806\/2838 - (-141)\/(-231).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-756)\/(-24))\/(-7))\/(1\/20*5).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -789962636560 and -7.\nAnswer: -789962636567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**4 - v**3 + v**2. Let r(q) = -q**5 + 10*q**4 - 22*q**3 + 30*q**2 - 16*q. Let u(o) = r(o) + 2*t(o). Solve u(a) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*g**2 - 9*g**3 - 183*g**2 - 59 - 5*g**3 + 6*g**3.\nAnswer: -8*g**3 - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17930, -18982, -20736, -23192, -26350?\n\"Answer: -351*c**2 + c - 17580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70 - -68. Which is the biggest value? (a) -0.1 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -238*r - 97. Calculate o(2).\nAnswer: -573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177354*v - 354701*v + 177347*v - 52*v**3 - 36*v**3.\nAnswer: -88*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588328029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 900322.\nAnswer: -900321.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 26 = -3*c + 31, 8 = 2*c. Let o be (-48)\/v*1\/12. Let z(u) = u - 3. Let j be z(2). Which is smaller: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7089643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23543 + 23533. Let n(o) = o**3 + o**2 - 90*o + 3. Determine n(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -4, 0.4, -1.4, -0.07?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 5. Let l be u(5). Solve -m + 3*m + 2 = l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 29 = 3*p + 10, 0 = x + 4*p - 24. Suppose x*y - 4 = 12. Suppose -20 = -y*k - 0*k. Calculate the remainder when 7 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2827761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/7 (b) 22.8896 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(3\/6*(-2)\/4). Let j be 26 - c - (5 - 1). Let n = j + 25. Calculate the remainder when n is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 994, 1213, 1432, 1651?\n\"Answer: 219*b + 775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.41? (a) 3\/14 (b) -12 (c) -4 (d) 0 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -10. Let n be 3\/6 + (-3)\/x. Does 18 divide (n - -34)\/(6\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzuzzhhhzzzzh. Give prob of picking 1 u and 1 z.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/3 - 3466*f\/3 + 6940\/3 = 0 for f.\nAnswer: -1735, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33147 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8124 (base 9) to base 15\nAnswer: 1b5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15552?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*(-33)\/22*2\/(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.56837 - 0.57. What is x rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/((-24)\/138))\/(73\/(-146))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.63306297 - 36.2184.\nAnswer: -35.58533703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 4*d = -48, 5*w + 2 + 33 = -3*d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6*((-20)\/(-2))\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160977*m + 160977*m - 5*f = -35, -2*f + 20 = 2*m + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 - 67. Let c(s) = -s - 17. Let b be c(5). Is b at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r**2 + 32*r. Let z be x(4). Suppose z = 5*n - 2*c - 0*c - 154, -c - 29 = -n. What is the lowest common multiple of n and 92?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5722 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 4:04 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/3 + -2. Which is the nearest to 1? (a) q (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -5 (c) -1.1 (d) 4\/61 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(128) + (1*sqrt(242) - sqrt(2)) - ((-5*sqrt(72))**2 - sqrt(242)*-4).\nAnswer: -1800 - 50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/2 + 24580*y**2 - 196664*y + 393344.\nAnswer: (y - 4)**2*(y + 49168)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5 + (sqrt(288) + sqrt(18))\/sqrt(6) - (sqrt(3) + 1 + sqrt(6)\/sqrt(2) + sqrt(3) + -4)))**2.\nAnswer: 36*sqrt(3) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcjzzyzyzyjjzjyyjj. What is prob of sequence jz?\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181731*l + 181514*l - 368370*l.\nAnswer: -5125*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5051 (base 13) to base 11.\nAnswer: -8337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + -122?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*t + 5 - 4 - 28 + 7 wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-4)*(-10 + -229) + -8. What is the greatest common factor of t and 770?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2789689 and 259.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -13337*g**2 + 12498*g**2 + 2 + 2 as y + w*g**2 + u*g and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1133*c - 849*c + 2353 - 15701 = 0 for c.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 5*o - 730, 472 + 290 = 5*x - 3*o. What is the greatest common factor of x and 6250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1cb (base 14) in base 11?\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 3*m - 23. Let y be t(-7). Suppose -y*s + 360 = -3*s. Round s to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5194 and 1163652?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**6\/60 - 7*p**5\/60 - p**4\/4 + p**3\/2 + 11*p**2. Let k(j) = -2*j**3 + 6*j**2 + 5*j - 2. Determine 6*k(l) + 5*o(l).\nAnswer: -2*l**3 + l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2748 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162, -167, -172, -177, -182?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 - 19*v**2 + 32*v - 62. What is w(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26498, 26701, 27024, 27467?\nAnswer: 28030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 131947643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -2 - (23 - 13).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-30)\/(-9))\/(2\/(-3)). Let s = k + 7. Let n = s - -19. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 154 + 156 - 5*t - 2*t**2. Let s(i) = -5*i**2 - 14*i - 17. Let j(q) = 3*q**2 + 7*q + 9. Let l(y) = 7*j(y) + 4*s(y). Let o be l(7). Give c(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06212 + 0.03788. Which is the fourth smallest value? (a) -1 (b) 0.5 (c) -28 (d) m (e) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.131 (b) -8 (c) 0.42 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/15)\/(28\/20)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -32516 divided by 4\nAnswer: -8129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-33))\/(2*3\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 6*f + 9*f = 1, f = -3*y - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 79663462.2ms?\nAnswer: 0.1317186875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32418710, -64837419, -97256128?\nAnswer: -129674837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -857*p**2 + 604*p**2 - 2137*p**2.\nAnswer: -2390*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 1, o: 1}. Give prob of sequence yo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -7*s**3 + 3*s**2 + 5*s + 18. Let f(r) = r**3 + r**2 - r - 1. Let p(a) = 6*f(a) + z(a). Determine p(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vaahaggpgpbg. Give prob of sequence hva.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*n - 3. Let y = n + -2. Calculate the remainder when y + 0 + 44 + 2 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 964692.\nAnswer: 6752844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -1.2. Let a = -0.6 + 0.54. Let i = 0.56 + a. Sort i, 4, c in descending order.\nAnswer: 4, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*x + 3*w - w, 4*w = -8. Solve -c + x + 3 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -400 divided by 100\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 15*r**2 + 5*r - 12. Let p(x) = 16*x**2 + 4*x - 10. What is 5*j(i) - 6*p(i)?\nAnswer: -21*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtj when three letters picked without replacement from jjgjjtcgtctgct?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1595 bigger than -1597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.687296218 + 1103.687175918. Let x = j + -1087. Round x to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (14 + (7 - 10)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/(-10) - (-3)\/(-5). Suppose -2*t - 21 = m, x*t = 4*t - 2*m + 24. Let u(r) = r**2 + 8*r - 7. Is u(t) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -2, -1, 573 in decreasing order.\nAnswer: 573, 43, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/63)\/(12\/336).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*f**2*u**4 + 160*f**2*u**2 - 1489*f**2*u - 53866*u**6 wrt u?\nAnswer: -360*f**2*u - 6463920*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + x. Let z(w) = -w**3 + 2*w + 5. Let p(s) = -2*m(s) + 2*z(s). Is p(-5) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*t - 2 - 2*t**4 - 620162*t**3 - 2*t**2 + 620170*t**3 + 4*t**2 to the form z*t**4 + x*t**3 + h*t**2 + n + j*t and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437 - 1166 = -81*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7473903 to the power of 1\/3, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 311145735?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 11. Let g be w(0). Let f = 99 + g. Suppose -u + c + 20 = 0, 0*c + 5*c - f = -5*u. What is the greatest common factor of 14 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -20588*l. Let t(a) = 3*a**2. What is t(c(f))?\nAnswer: 1271597232*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7\/27 + -2\/27. Let z = 4.83 - 4.9. Which is the fourth biggest value? (a) -2\/3 (b) z (c) w (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9687*m**4 - 9*m**3 + m**2 + 71288*m + 5 wrt m?\nAnswer: -116244*m**2 - 54*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 + 5 + (4 - -5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 19. Suppose q + 15 = 5*z, 3*q - n*z + 0*z + 15 = 0. Is q greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 - 22536*t**3 + 126990358*t**2 - 253913112*t + 126945289.\nAnswer: (t - 11267)**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3492)\/(-198) - 8\/(-22))*2\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 0*n - n - 7*n. Suppose -8 = -s + 31. Let m(j) = 21 - s + 18 + j**2. Determine m(v(o)).\nAnswer: 64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(3\/5))**(-34)*(((v*(v**(2\/5)\/v)\/v*v)\/v)\/v)**(1\/7) assuming v is positive.\nAnswer: v**(-484\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1484300639?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11556 - 1796 = 8*f. Suppose -3*c = -2*j - f, -4*j - 227 = -5*c + 1809. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*v**2 + 2 + 2*v**3 + 13*v**2 - 6*v**3 to s + c*v + g*v**3 + p*v**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -9*u**8\/56 - u**4\/6 - u. What is the third derivative of b(x) wrt x?\nAnswer: -1080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45 in 3\/7, 0.2, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -8*f - 3 + 3*f - 3*f**2 - 5*f + 0 + f**3. Let s be q(5). Let m(z) = z**3 + z**2 - 2*z + 1. Determine m(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 157677 - 3*q + q - 161313 as h*q + x and give x.\nAnswer: -3636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 97 + 63. Suppose 5*s - v = -3*f + s, 4*f - 2*s - 6 = 0. Solve r - 10 = -f*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13520 and 4?\nAnswer: 13520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -6 (b) 3.5 (c) -3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1010101011001110111 (base 2) to base 11\nAnswer: 219904","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 366\/(-5673) - (-293)\/217 - (-14)\/(-2107)*197?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*c - 27*c = 20*c + 36189. Does 87 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g - 22. Let y be d(-13). Find the second derivative of -7*k**4 + 13*k - 2*k**4 + 3*k**y - 2*k wrt k.\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3159 + 3245. Solve -o + 86 = -11*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in ninety-three quarters of a millennium?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 9*c**3 - 2*c**2 + 2*c + 3. Let r be q(-1). Let z = 72 - r. Suppose z = 5*m - 43. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 + 38*l**2 + 1117*l + 115. Calculate b(35).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/15 and 65\/1824.\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 5*q**2 + 4*q. Let u be z(3). Let y(k) = k**3 + 5*k**2 - 8*k - 3. What is the remainder when y(u) is divided by (-596995)\/(-99715) - 6\/(-462)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -94\/209 - -12\/19. Let h = -0.319 - -0.119. Which is the second smallest value? (a) n (b) h (c) -1 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/24 and 11\/3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 486 and 1270890.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(21) - sqrt(84)*-2) + sqrt(21))\/(sqrt(84)\/(sqrt(12)*-1)) - ((sqrt(9) - sqrt(36)\/sqrt(4))*-2)\/(sqrt(48)*-1)) + -2.\nAnswer: -6*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 6. Find the third derivative of -2*p**5 - u*p**2 + p**5 + 3*p**2 wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9100, -35555, -79628, -141301, -220556, -317375?\nAnswer: -431740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138 - 8 - 15 - 20 + 11)*(-152*g**2 + 105*g**5 + 152*g**2).\nAnswer: -17850*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o + 874*o**2 + 2*o - 792*o**2.\nAnswer: 82*o**2 - 12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(-a + 3*a + 0*a)*(3*a**3 - 6*a**3 + 0*a**3) - 3*a**4 + 3*a**4 + 2*a**4.\nAnswer: 14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 835973.\nAnswer: 835973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9*c + 2. Let j(f) = -49*f - 11. Let w(s) = -6*j(s) - 33*x(s). Let i(r) = r**2 + r**2 + 2*r**2. Determine i(w(q)).\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 18*y**2 + 12*y + 27. Determine k(9).\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -12. Suppose r*o - m + 5 = 0, -4*m + 20 = -o + 5*o. Suppose -z - 2 = -2*g + 6, -4*g - z + 16 = o. Solve 5*q + 0*q + 15 = -3*k, g*k = -q - 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9152 by 416.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1355 to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6001976.\nAnswer: 2, 109, 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - -40.3. Let o = q + 1.874. What is o rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 less than -1394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - 8*p**2 + 2*p**2)*(1328*p**2 - 667*p**2 - 3 - 659*p**2) + 4*p**4 + p**4 - 3*p**4 - 3*p**2.\nAnswer: -4*p**4 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.4838 + -9.57. Let y = -2.9138 + t. Which is the closest to 1? (a) -1 (b) y (c) -5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4 - (-165 + 83 + 96).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 124935 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1135 - 689. Let l = s - 271. What are the prime factors of l?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 7 = -5*p. Does 2 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u + 103 - 101 - 533*u**2 + 2023*u**2 - u in the form m + w*u + h*u**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -263, -2732, -9449, -22538, -44123, -76328, -121277?\n\"Answer: -354*f**3 + 9*f + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(12)*2) - 3*sqrt(300))**2.\nAnswer: 10443\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -4. Let d(k) = 7*k**2 - k - 1. Let u be d(g). Let o = -16 + u. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 10 - 47 - 5*w**2 + 0*w + 6*w**2 - 4*w. Calculate q(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20730546 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 896*b - 15. Let j(f) = -896*f + 25. Give 2*j(n) + 3*y(n).\nAnswer: 896*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - 5*g + 3*g)*(3 + 2 - 3) + (-1 + 3 - 4)*(5*g - 4*g - 3*g) + 2*g - 1 + 1 + 0*g - 2*g + 3*g - 29*g + 36*g + 88*g + 4*g as n*g + m and give n.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z - 4 = 0. Let q(o) be the second derivative of -o**5\/20 - 3*o**4\/4 + 11*o**3\/6 + 15*o**2\/2 - o. Let k be q(-10). Put z, 2, k in increasing order.\nAnswer: z, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-three quarters of a meter?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4179*y = 48359 + 43579 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/3*7281\/4854?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0864 to 2 decimal places.\nAnswer: -1.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3946*s + 60. What are the prime factors of f(1)?\nAnswer: 2, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 - 2552*p**2 - 695008*p + 7050. Calculate o(-882).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9753.985um in nanometers?\nAnswer: 9753985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 50 = -5*h. Suppose q = h*q - 234. What is the remainder when q is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 527 + -555 - (3 + -75).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j + 114 = -96. Let m be (1244\/(-42) - j\/49)*3. Are -88 and m nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-165)\/(-231) + 45\/378?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4754966 is divided by 227?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3*3\/(-36)*-4*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 8*m - 136. Let i = m - -43. Suppose -i = -8*t + 2*t. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231*-1.\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1886.006348 and -0.4.\nAnswer: -1886.406348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 66*t**2 - 3*t**3 - 7 - 31*t**2 - 35*t**2 wrt t.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3))**(1\/52)*(y*(y\/y**(3\/5))\/y)\/y**(3\/7) assuming y is positive.\nAnswer: y**(-191\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -41 (b) -1 (c) 0.1 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 391195384 to the nearest integer?\nAnswer: 19779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 38546, 38543, 38540, 38537?\n\"Answer: -3*g + 38549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-1 + -2 + (5 - -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2618 or -2549?\nAnswer: -2618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**5 - 3*o**5 + 2*o**5 + (0*o + 2*o**3 + 0*o)*(-o**2 - 3*o**2 + 2*o**2) + (2*o**5 - 5*o**5 + 4*o**5)*(8 + 6 - 6).\nAnswer: 6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180594 is divided by 210?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/57)\/((s*s\/(s\/(s*s\/s**16))*s)\/s) assuming s is positive.\nAnswer: s**(743\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 6:28 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, a: 2, y: 1}. What is prob of picking 1 y and 2 a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6384\/6916)\/((-6)\/(-195)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.7, 0.01, 0.2, 2\/9, 1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 27 = 2*x, -2*x - 4*l = -3*l + 47. Let u = -1436 + 2953\/2. What is the common denominator of 467\/(-70) + 9\/x and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/6)\/(-1 + 2). What is the second smallest value in -4, -5, 1, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 88880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*f**2 + 2*f**3 - 60*f**2 - 31 + 144*f**2 in the form t*f**2 + m*f**3 + o*f + c and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-20))\/(1\/((-8)\/2)). Let t(k) = -3*k**3 - 4*k**2 + 7*k + 7. Let g be t(w). What is the nearest to 5 in g, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326620 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -13*f + 56. Let j be l(4). Suppose -j*c + 16*c - 6612 = 0. List the prime factors of c.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (720\/(-42))\/(1\/(-7)). Suppose -3*l + c = l. 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(n) = -11*n + 15. Let h(g) = 3*g**2. What is w(h(v))?\nAnswer: -33*v**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.83 + -1.98448665936?\nAnswer: 1.84551334064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 742 and 120946.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -561, -2505, -5737, -10251, -16041, -23101, -31425, -41007?\nAnswer: -51841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 209 + -203. Suppose 0 = -2*l - 3*n + p + 4, -l + 6 = n. Solve 3*o - 7 - l = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 14400 = -6*o. Round o to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 365754 and 5188.\nAnswer: 731508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1244\/23 - 54. Is g >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (56\/12 - 4) + (-7)\/(-3). Suppose m + 117 = 2*j, 12*j = 9*j + c. Is m greater than -114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1359243, 2718489, 4077725, 5436945, 6796143?\n\"Answer: -l**3 + l**2 + 1359250*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.07, 4, 47, 6, 30.3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(2200\/(-180)))\/((-1)\/(-10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14743.\nAnswer: 23, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -168675, -168640, -168605, -168570?\n\"Answer: 35*m - 168710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.22 - 0.08. Let y be -2 + (1 - 10\/(-8)). Let q = -5\/4 - y. Which is the closest to 1? (a) d (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 - (-51 + 42).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 897762844, 897762843, 897762842, 897762841, 897762840, 897762839?\n\"Answer: -a + 897762845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**4\/4 + 4*t**3\/3 - 3*t**2\/2 + 15*t + 23. Let g be q(-5). Put 3, 1, 4, g in descending order.\nAnswer: g, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3\/2)\/(o*o\/(o\/((o\/(o\/(o**(-1\/8)*o)))\/o)))*o\/o**(2\/3)*o**4 assuming o is positive.\nAnswer: o**(47\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -4 in ascending order.\nAnswer: -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140 - 87 - 22*y - 53.\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23, -43, -63, -83?\n\"Answer: -20*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-3 - 3) - (2 - 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 10*v**3 + v**2 - v - 1. Let z be c(-1). Let y(k) = k**2 + 9*k + 2. Let n be y(z). Does 7 divide n*(21\/6 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5586\/18 - (-12)\/18.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539) + -1 - sqrt(1539) - (sqrt(95)*1)\/sqrt(5)) + sqrt(228)\/(-3*sqrt(588)))**2.\nAnswer: 44*sqrt(19)\/21 + 9637\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g**2 + 27*g - 15. Let r be a(6). Suppose -r*j + 18*j - 720 = 0. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -415*u**8\/56 - 63*u**5\/10 + 343*u**2. Find the third derivative of s(t) wrt t.\nAnswer: -149400*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(-2\/7)\/o*o)**(-39))**(-6))**19)**(-42) assuming o is positive.\nAnswer: o**53352","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.05 and -0.3609.\nAnswer: -0.4109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 1230 (c) -0.2 (d) 13\/2 (e) -2\/7 (f) -1.9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(4320))\/(sqrt(72)\/(sqrt(60)\/sqrt(5))) + (4 + 3 + sqrt(605) + -3)**2.\nAnswer: 76*sqrt(5) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 119, 95, 49, -25, -133, -281, -475, -721?\n\"Answer: -n**3 - 5*n**2 - 2*n + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 915*a + 400 = 1315 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x + 1. Let i be b(-5). Let c be (-3 - (-5)\/2)*i. Solve 16 = -4*y - 5*q, -3*y = -c*q + 4*q + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2 = 16. Is (-1 + 0)*(-32 + i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/5 - 54*u**2\/5 + 138*u - 370.\nAnswer: -2*(u - 5)**2*(u + 37)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2245301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 930 and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147 + 151 + (11 - 7) + (0 - 33).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x - 4. Calculate the remainder when u(-6) is divided by (-3 + (-22)\/(-4))*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - 3*l**3 + 2*l**3)*((2 + 1 - 5)*(4*l - l - l) - 2*l - l + 4*l - 5*l + 3*l + l)*(4 + 16 + 0)*(3*l - l - l).\nAnswer: -160*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 155294 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9c - -bc9?\nAnswer: b2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 319.1 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10454 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(sqrt(640) + (-2*sqrt(640) - sqrt(640))) + sqrt(57)\/(sqrt(432)*-3 - sqrt(432)))**2.\nAnswer: 19\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -10*f**3 - 3*f**2 + 2. Let w(p) = -11*p**3 - 3*p**2 + 2. Let x be 21\/(-35) - (-12)\/45 - (-323)\/(-57). Calculate x*u(y) + 5*w(y).\nAnswer: 5*y**3 + 3*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 8*h - h**3 + 2*h**3 - 10 + 13*h**2 + 2*h. Let c be d(-12). Suppose -c*l - 3*l = -160. 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 542410122 (base 6) in base 11?\nAnswer: 5497407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.32 + 15.32. Let r = -2 - -13. Let y = t - r. Which is the closest to 1? (a) -3 (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237*(-115)\/((-35190)\/(-102))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sra when three letters picked without replacement from arrrsarassaaaaarsaar?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000284918162 to six dps.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1720, -1645, -1536, -1405, -1264, -1125?\nAnswer: -1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6924 + 2354. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*((-93)\/48 + 2). Let j = 6 + -3. Let g = -2.6 + j. Which is the third biggest value? (a) s (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -770 divided by 5\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, d: 4, i: 1, u: 2, t: 2, g: 4}. What is prob of sequence tgg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**4 + o**2 + 117*o**3 - 8*o - 117*o**3 wrt o?\nAnswer: -12*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/54*414\/(-24) - 1729\/(-988)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 8*s - 4. Suppose 3*r - 4*f - 36 = f, 4*r - 13 = -5*f. Let w be y(r). Suppose -w*o - 15 = -18. Solve o + 1 = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 - 94. Let j = -439 + 399.46. Let z = j - s. What is z rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5072383, -10144821, -15217257, -20289691?\nAnswer: -25362123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -2 (c) -2\/109 (d) 188\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 11*m + 8. Let j(w) = 4*w + 3. Let s(q) = -17*j(q) + 6*r(q). Let x be s(-2). Are x and -3\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + 0.2. Let r = 4.7 - 0.7. Sort b, 2\/5, r in decreasing order.\nAnswer: r, 2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1783*v = -1811*v + 196 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -212 + 180.6. Let g = k + 30.4. Let l = 5.6 - 6. Which is the second smallest value? (a) 1 (b) l (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2844 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9595 is divided by 373.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 7:02 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 2151*x - 2150*x + 9, -5*s = -10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 4690083386258.\nAnswer: -4690083386257.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66*w**4 + 5*w**2 + 1101*w?\nAnswer: -792*w**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 4*c + 0*c)*(-1 - c**2 + 1) + 43*c**3 + 266*c**3 - 668*c**3 - 542*c**3 - 128*c**3.\nAnswer: -1030*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + -9. Let c = -19 - p. What is the third biggest value in 2\/3, -8, c?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4417877?\nAnswer: 1487, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 477 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8, -58, 1 in descending order.\nAnswer: 3, 1, -8, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 - 3*k + 8. Calculate d(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -318922 in -1\/6, -5, 0.71?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 27 - 2*c**2 - 27. Let f(l) = 76 - 155 - 22*l + 79. What is f(p(k))?\nAnswer: 44*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*o**2*s*t - 110*o**2*s + 6*o*s + 3*s*t - 298*s + t - 2 wrt o.\nAnswer: 4*o*s*t - 220*o*s + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 135 and 60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2992 = -11*v + 22424 + 39616. Calculate the remainder when v is divided by 91.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/11669 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250)\/(2*sqrt(5)) - sqrt(50))\/(sqrt(10) + sqrt(810)*-1))**2.\nAnswer: 5\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, -72, 0.1503?\nAnswer: 0.1503","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78 + -70. Solve 1 = x + j + s, -29 = 5*x + 2*j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119a275 (base 15) to base 6\nAnswer: 1130530115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -4 + -8 + -1 + (8 - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.069 less than 8448604.5?\nAnswer: 8448604.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 6:33 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-6)\/(-6))\/(-6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1195 at least as big as 15971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13307 - -13492. Calculate the least common multiple of 1036 and l.\nAnswer: 5180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -54\/11? (a) 0.009 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r + 16. What is b(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x - 10. Let g be s(4). Let m = g + 6. Is (-8)\/m - (-3495)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 815, 3706, 8523, 15266?\nAnswer: 23935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*v**5 - 3641973*v**4*w + v**2 - 481931*v + 26*w wrt v.\nAnswer: -60*v**3 - 43703676*v**2*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*p - 0*p. Let k be 2\/p - 2\/(-5). List the prime factors of 0 + k - (-4 - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**2)**(-2\/33)\/((m**8\/m)\/(m\/(m\/m**(3\/5)))))**23)**(2\/31) assuming m is positive.\nAnswer: m**(-49496\/5115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/273 or -1\/641136?\nAnswer: -2\/273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 14 = -10*r. Let z be (1*-3)\/(r + -15). Sort -2, -6, z in increasing order.\nAnswer: -6, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 497 divided by -46.\nAnswer: -497\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 473 = 4*a + 121, 5*a + v = 440. What is the remainder when a is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19500 to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-1748)\/30590)\/(((-2)\/15)\/((-2)\/3))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 6 + (-1 - -4) - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 163*f**2 + 11775*f - 12360. What is d(217)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 5*t - 115, -7*r = -2*r + 5*t - 555. Let s = 22 - -6. What is the remainder when r is divided by s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*w**4 - 410*w**3 + 11*w - 7224 wrt w?\nAnswer: 600*w**2 - 2460*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21189056?\nAnswer: 2, 7, 47297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvbwwgubhubugvv.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20845*l**2 + 7040*l + 2 wrt l?\nAnswer: 41690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*(-3 + ((sqrt(24) + (sqrt(24) + sqrt(96)\/sqrt(4) + sqrt(24) + sqrt(24))*1)\/(4*sqrt(768)))**2)*-2.\nAnswer: -2535\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 10. Let a be (-12)\/(-9) - q\/6. Suppose -r = -a*r + 4. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 118 and -112?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34.5 - -3.5. Let u = z - -35. Let y = -11.7 - -12. Sort u, y, -0.05 in descending order.\nAnswer: u, y, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, 0.5, -2\/3085, 406?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1556.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3039 - -5010. List the prime factors of s.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -461, -1, 59, -4, 3, 0 in ascending order.\nAnswer: -461, -4, -1, 0, 3, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*v = -78*v - 6. Let x be 1\/v - (-1 + 4\/6). Solve -8 = 4*w - x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*5\/10)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26405591 + -38043591. What is v rounded to the nearest one hundred thousand?\nAnswer: -11600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 - 135 = a + 3*q, -5*a - q = -21 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/29)\/a**(-2)*a*a*a\/(a\/(a**(1\/7)*a))*a*a\/a**(-1\/6))**11 assuming a is positive.\nAnswer: a**(98395\/1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 373 - -138?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 31*y + 1. Let x(h) = 15*h. Give x(b(r)).\nAnswer: 465*r + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -75413, -141833, -208243, -274637, -341009, -407353, -473663?\n\"Answer: m**3 - m**2 - 66424*m - 8989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3648 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**5 - 2*h**5 + 5*h**5 + (-2*h + h + 4*h)*(h**4 - 2 + 2) - 2*h**5 - 4 + 4 + (-4 + 2*h + 4)*(-2*h**4 + 0*h**4 + 4*h**4) - 4*h**5 + h**5 + 4*h**5.\nAnswer: 8*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 + 43 + 20*q)*(0*q**2 - 3*q**2 + 5*q**2)*(16*q + 10 - 10).\nAnswer: 640*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -9826.7808 to the nearest 10.\nAnswer: -9830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/4 - (-145)\/20. Suppose 5*b - 2407 = -3*x, -3*x + u*x + 3*b - 2403 = 0. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4074973358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ippp when four letters picked without replacement from pzzizpzpippzppzpzppp.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f - 34 + f + 12*f - 3*f - 15. Let w(a) = 2*a**2. What is g(w(z))?\nAnswer: 14*z**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 110162981 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38503590 is divided by 19251773?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103 - -108. Is -2*(-2)\/n + (-167726)\/(-130) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-145)\/(-10) + ((-29)\/116)\/((-1)\/2). Calculate the greatest common divisor of m and 1095.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + i - 14. Let a be j(3). Let h(q) = -3*q + 4. Let x be h(a). Suppose -k = 4*k + x, 2*k = -3*p + 374. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -8857596.\nAnswer: -17715192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 17 = 3*c. Suppose -c*x - 5*b - 76 = -701, -2*b = 3*x - 372. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320 = -73*r + 410 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97*d**2*t**3 + 2*d**2*t**2 + d*t**2 wrt t.\nAnswer: 582*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2518859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -19, 3, -12, 0, 13 in decreasing order.\nAnswer: 13, 3, 0, -12, -17, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 409373*w + 5. Calculate z(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*q**2 - 38*q**2 - 498*q**2 + q**2 - 2*q**2 + 2*q**2 + (-2 + 2 + 2*q)*(-2 + 2 + 2*q) to the form i + v*q**2 + t*q and give v.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/78)\/((-1)\/18).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16127 + -16013. Calculate the highest common factor of 10146 and x.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-10)\/b*b*b**(2\/43)\/b assuming b is positive.\nAnswer: b**(-428\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e33 - -2b90?\nAnswer: c5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/1 + -1 - 1. Suppose 5*z - 42 - 48 = i. Let b be (-10 + -1)*36\/(-66). Calculate the highest common factor of z and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2214 - 2206. Which is the closest to -3? (a) 6 (b) u (c) -2\/9 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**3 + 10*q**2 - 42*q - 256. Determine r(-10).\nAnswer: -836","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2. Let s(l) be the first derivative of -l**2 + 7. Give c(s(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = 5*k + 4*j, 0*j - 3*j = 3*k - 144. Let i = 946 - 940. What is the units digit of (46\/i)\/(5\/k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(80) - (sqrt(80) - (-3 + -4 + sqrt(80) + sqrt(80) - sqrt(80)))))**2 - ((1*sqrt(720) + -3)**2 + -3).\nAnswer: -152*sqrt(5) - 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 206841?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + 8. Let x be ((-4)\/8)\/((-2)\/d). Suppose 62 = 6*u - x*u. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24488 is divided by 574?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -0.4, 1\/4, 0.049?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -759*p - 365 + 3401 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -105\/8 in descending order.\nAnswer: 5, -4, -105\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108, 364, 778, 1344, 2056, 2908, 3894, 5008?\nAnswer: 6244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90542*h**2*o**2 + h**2*o - 178*h**2 + 23142853*h*o**2 + 5*h*o wrt h.\nAnswer: -181084*o**2 + 2*o - 356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.442, 4, -5, -166\/5 in increasing order.\nAnswer: -166\/5, -5, -0.442, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 6. Let a = -5 + 7. Find the third derivative of -r**6 - r**2 + a*r**x + 2*r**2 wrt r.\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(343) + 0).\nAnswer: 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57535\/2827 - 224\/11. Let x(w) = 19*w + 38. Let d be x(-2). Do s and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - -1*(sqrt(3) - (1 + sqrt(3)))**2) + (sqrt(90)\/sqrt(3))\/sqrt(10).\nAnswer: 1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -739, -430, -59, 380, 893, 1486?\nAnswer: 2165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*184\/115*10\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*a**3 + 69*a**3 - 20*a**3 + (3 - a - 3)*(2*a**2 + 4 - 4) - 2*a**3 + 2*a**3 - 2*a**3 + 2*a**3 + 0 + 0 + a**3 - 2*a**3 + 0*a**3.\nAnswer: 29*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 128300299?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 = -10, 3*v = 5*y - 16. Solve -2*p - y = -t + 4, 4*p = t - 13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from fkfkfffffk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*m + 142 - 37 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 25 = 4*x, 2*u + 0 = -2. Let v(g) = g**3 + 7*g**2 + 3*g - 8. Let i be v(x). Let c = i + 1. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(27)\/(-6*sqrt(27)\/sqrt(3)))**2.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 230569 and 7147633\/31 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 4*u + 60. Let n(r) = -r**3 + 5*r**2 - 4*r - 2. Let j be n(4). Let c be (j\/(-3))\/(3\/27*6). Solve u + c = 4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -184.016 - -184.0237057. Round u to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -365 times 275.2?\nAnswer: -100448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9302 a factor of 284466894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 8:09 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*-1*3 + 5)*-3.\nAnswer: -15 + 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/10 of a litre?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 equal to 0.35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 29. Which is the closest to 1\/2? (a) v (b) 0.3 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -11*w**2\/2 + 2. Let f(t) = 32 - 32 - 2*t. Calculate h(f(g)).\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7011 is divided by 367.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + 2*h + h**2 + (-147*h - 2*h - 14*h)*(3 + 2*h - 3) to the form o*h**2 + c*h + l and give o.\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 88de (base 15) in base 14?\nAnswer: a801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 4, -135176 in descending order.\nAnswer: 4, -4, -5, -135176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 7\/4652?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r. Let j(k) = -7*k. Calculate -6*j(i) + 10*l(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -143737\/12 - -11986. What is the common denominator of 49\/40 and u?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x + 6. Let b be p(-7). Let w be 1*(-1 - 1) + b. Calculate the highest common divisor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-3\/4)*p)**0\/(p**(2\/3)*p**6))**27 assuming p is positive.\nAnswer: p**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z + 1. Let x(b) = -3*b - 1. Determine 2*t(j) + 3*x(j).\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 39*o**6\/40 - o**5\/2 + o**3\/3 + 33*o**2. What is the third derivative of b(k) wrt k?\nAnswer: 702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13582703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -694 less than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m - 112*m - 11*m.\nAnswer: -128*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30372 and 7188?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3817, -7657, -11499, -15343?\nAnswer: -19189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1356648 and 5868.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, y: 3}. Give prob of sequence ry.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 102\/15*15\/6. Find the second derivative of 5*g + 3*g**4 + 24*g**4 - 3*g + y*g wrt g.\nAnswer: 324*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 2*i - 4. Let d(j) = 3*j + 38. Let o(l) = 2*l + 14. Let h(b) = -d(b) + 3*o(b). Give -5*a(r) - 4*h(r).\nAnswer: -5*r**2 - 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3836198784?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, g: 13}. What is prob of picking 2 u?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by -5\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4147139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 34597406 to the power of 1\/2, to the nearest integer?\nAnswer: 5882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-3\/7)*f**(-2\/5)*(f**(1\/3)\/f*f)**(3\/26))\/((f\/(f\/(f\/f**(3\/7))))\/((f**(1\/6)*f)\/f*f)*(f*(f\/f**(-1\/4)*f)\/f)**(3\/22)) assuming f is positive.\nAnswer: f**(162817\/120120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -244*m**3*p*t - 1297*m**3*p - 2955*m**3 + 2*m**2 + 55*t with respect to p.\nAnswer: -244*m**3*t - 1297*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -175*d**3 + d**2 - 1. Let p be r(-1). Let z = p + -60. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -25845\nAnswer: 1\/8615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + (-15)\/(-9))\/((-3)\/108). Suppose -3*d = -l, 4*a + 2*d + 0*d + 1816 = 0. Let t = -318 - a. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -4*t - 18, -3*t + 12 = 2*y - 4*t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d**2 + 19*d**2 + 3*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-4))\/(1\/(-2)). Let p be 5 + 2 + 0\/s. Solve -r + 0*r = 5*n + 16, 0 = 2*r - 3*n - p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 3*r - 3*r)*(2 + 1 - 2)*((2 + 0 - 1)*(-3 + 2 + 0) + 3 + 2 - 3).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 12*h**2 + 112*h + 956. List the prime factors of w(-56).\nAnswer: 2, 3, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -13. Let f be (-12)\/2*(-6)\/j. Let k = 4 - 5. What is the second biggest value in k, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-57)\/20*29\/29 and 11\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12267)\/846*(-60)\/29 + -81.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**2 - u - 1. Calculate the smallest common multiple of t(-1) and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10130, -20195, -30242, -40265, -50258, -60215?\n\"Answer: q**3 + 3*q**2 - 10081*q - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 0, -3*b + 0*p = 2*p - 3. Does b = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 5:19 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -321?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*a + 5*f, -4*f - 4 = -5*a + 27. Suppose 3*m + 285 = 2*l, -2*l = -a*m - 6*l - 285. Does 16 divide 1\/3 + m\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(108)*3)**2.\nAnswer: -36*sqrt(3) + 973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/214506 and -83\/2278?\nAnswer: 14371902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tktlkktktttktkktktkt. Give prob of sequence kl.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -339.5 rounded to the nearest ten?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-8)*(-4 + 0) + -5. Let g(a) = -84*a**3 + 7*a**2 + 4. What are the prime factors of g(u)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13\/136 - 353\/136. What is the third smallest value in -2\/39, -0.4, a?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -431 + 832 - 401 - 23*s**3.\nAnswer: -23*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a**2 - 128300*a + 42768 = 0 for a.\nAnswer: -10692, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4625, -9218, -13821, -18440, -23081, -27750, -32453?\n\"Answer: -n**3 + n**2 - 4589*n - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -39*n + 45*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12298688, -12298691, -12298694, -12298697, -12298700?\n\"Answer: -3*k - 12298685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 - 2*n + 2*n + (3 - 2*n**3 - 3)*(6 - 1 - 3).\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 15 - (-7 - (4 - -2 - 30))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 2742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Suppose -c - v = -6. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*z + 3*b + 26, -2*b = -4*z + 54. Calculate the common denominator of 25\/4 and (20\/z - 3) + 0.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 145578.7 from -3.\nAnswer: -145581.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -575, -2004, -4785, -9368, -16203, -25740, -38429?\nAnswer: -54720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/23 or -6\/35?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 - -272. Let x = h + -133. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -705 - -2016. What are the prime factors of f?\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 11. Suppose -3*x = x - 4*g + 44, 3*g = 0. Let a be d(x). Solve a = -4*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 99*d + 737. Give u(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1847, 7396, 16635, 29558, 46159, 66432, 90371, 117970?\n\"Answer: -u**3 + 1851*u**2 + 3*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -12 (c) -110078\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0.2, -0.2946, -2\/5 in decreasing order.\nAnswer: 0.2, -0.2946, -2\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -21*w + 64. Let h be -1 - (-3 - 2 - -2). Let 0*t - t + w*t**h + 15*t + 12 = 0. Calculate t.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (51\/34)\/((-6)\/(-40)). Solve l*w = 2*w + 40 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(7344) + (sqrt(7344) - sqrt(7344)*-2))*3)\/((sqrt(54)\/sqrt(81))\/(sqrt(16)\/(sqrt(32)\/sqrt(4) + sqrt(8)))).\nAnswer: 216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 440938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - ((-4 + 0 - (11 - 6)) + 5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 75\/18 + (-3)\/18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 times 188.04?\nAnswer: 24633.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -79130, -316547, -712248, -1266239, -1978526, -2849115?\n\"Answer: -u**3 - 79136*u**2 - 2*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -101410*f**3*s**3 - 16*f**2*n**2 - 2*n**2*s**3 + 166*n**2 + 1504*s**3 wrt f.\nAnswer: -304230*f**2*s**3 - 32*f*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -11, -23, -37?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*z + 12. What is the least common multiple of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 2. Let f be w(-3). Let v be -1 + f\/(5\/(-2)). Let i(x) = -4 - v + 2 - 5*x + 2*x. Give i(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (8 - (7 + 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8479 - -8546. Solve -5*z - 57 + p = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 + 0. Let g = u + 0.5. Sort -0.5, -3, g in increasing order.\nAnswer: -3, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2448) + sqrt(2448) + sqrt(2448))*4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 16*j**2 + 61*j + 35. What is the remainder when 118 is divided by d(19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647 is divided by 108.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 36 = w + 3*w, 5*d = w + 104. Suppose 5*u - d = -0*u. Suppose 5*r + 2*c - 75 = 35, u*r = 4*c + 88. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 less than -13821866375?\nAnswer: -13821866375.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 460 and 2180?\nAnswer: 50140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-80)\/(15 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -222 + 218. What is the second biggest value in r, 0, -23, 4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = p + 27. Let r be 444\/(-15) + (-21)\/p. Let h = r + -4. What is h rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0\/r**(3\/23))\/((r\/(r*((r\/((r\/(r*r\/r**25))\/r))\/r)\/r))\/(r*r\/r**(6\/11)*r)) assuming r is positive.\nAnswer: r**(-5484\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2053?\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 3985\/775 + (-3 - -1). Let c = t - -8\/31. Calculate the common denominator of -37\/5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 19. Suppose -2 = -u - k + 3, 5*k = -u + 5. Suppose u*x = -x. Give v(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - -39)*(-6)\/56.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 = -x + 231, 4*l = -x - 24. Sort 12, l, -8, 2, 0.\nAnswer: -8, l, 0, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 + -22448?\nAnswer: -22471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1307256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26128 = -4*o - 2*g, -4*o + 19*g + 26128 = 20*g. Is 98 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 10 + (-3 - -1) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079640461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - (-3 + -1))*-16. Let w(p) = 2*p**2 - 33*p + 17. Let r be w(h). Let l = 6 + -21. Which is the nearest to r? (a) l (b) 1\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**3\/7 - 96*z**2\/7 + 386*z - 1932 = 0.\nAnswer: -69, 7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from mmgmmgmmmggmggggggm?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 5:16 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 28352800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3143726.\nAnswer: 2, 79, 101, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -924 + 1?\nAnswer: -923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1218 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4368 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 150818*c**5 - 1139*c**4 - 4158*c - 9830?\nAnswer: 3016360*c**3 - 13668*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 135414?\nAnswer: 135420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2512354 is divided by 3913.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 2.9. Let r = h - 0.1. Let i be ((-174)\/(-406))\/((-6)\/4). Which is the closest to i? (a) r (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.7296*3.13\nAnswer: -64.883648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 575 = 3*f + 101. Let n = -66 + f. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 589064 by -314.\nAnswer: -1876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -60*f**2 + 5*f + 20. Let k be w(-5). Let v = 2142 + k. List the prime factors of v.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7))**(-31) assuming q is positive.\nAnswer: q**(62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81*n - 46*n + 38*n)*(-4*n**4 + 5*n**4 - 4*n**4) + ((2*n - n + n)*(2*n - n + 3*n) - 4*n**2 + 2*n**2 + 4*n**2)*(-5*n - 3*n**3 + 5*n).\nAnswer: 237*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + -29. Suppose 0 = 5*y + i - 164. Find the third derivative of -y*z**2 + 21*z**2 - 2*z**5 - 9*z**2 + 3*z**5 wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 345 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 469*i - 6204365 = 446*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -8. Let o be (u\/(-3))\/((-6)\/(-27)). Let z(q) = q**2 + 27*q + 194. Let i be z(-14). Are o and i nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o - 3. Let u(y) = 7 - 3 - 2 - 2*y + 4*y. Let n(d) = -3*k(d) - 5*u(d). What is the remainder when n(-12) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24486 is divided by 283?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41327 + 28561 - 15592 = 1112*g + 122*g for g.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**(28\/9)\/j)*j*j**(-32) assuming j is positive.\nAnswer: j**(-289\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*o + 97*o - 135 = 0. Let w be (10 - 7)\/o - 1527\/(-15). Calculate the highest common divisor of w and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*c + 315, 3*u = 4*u - 6*c - 63. Solve -59*j + u*j + 24 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*w - 41*w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70024629.\nAnswer: 3, 31, 643, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**3 + 138*v**2 + 2301*v = 0 for v.\nAnswer: -13, 0, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l + 79. Calculate the remainder when y(-27) is divided by 5 - (-3)\/2*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - 2. Let u be (4\/d)\/(1\/(-3)). Solve -3*t + u*a - 14 = 0, -2*t - 16 = 3*t + 4*a for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*u - 234*u = -1428 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m + 2 + 4*m + 3. Let f(p) = -p**2 + 6*p - 4. Let c be f(4). Is h(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 199*r - 798. Let k be y(4). Let b(t) be the third derivative of 0*t**3 + k*t**2 + 0 - 1\/90*t**5 + 0*t + 1\/9*t**4. Factor b(m).\nAnswer: -2*m*(m - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -117388, -238324, -359260?\n\"Answer: -120936*t + 3548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -11, -1419, 0, -18, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*z + x - 5*x, -z + 4*x = 16. Suppose -2*l + 22 = z*m, l + 19 = 4*m - 0*l. Suppose 0 = v - 6 - m. What is the remainder when v is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 + 3*r**2 - 2*r**2 + (3*r - 9*r + 2*r)*(-2 + 2 - 2*r) to h*r + f*r**2 + x and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3462?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 367479015 to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62264361, -1, 1 in decreasing order.\nAnswer: 1, -1, -62264361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkgpgpgzgpzgpgg. Give prob of sequence pkp.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 0. Let u(r) = -4*r + 2. Let d be u(-6). Suppose -k*m - m = l - 24, 3*l = 2*m - d. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 9*v**2 + 7595. Let k(t) = t + 44. Determine k(r(h)).\nAnswer: 9*h**2 + 7639","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 - -1 - 58*-2 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(-8)*(-1 - (-51)\/9) and -174*(6 + -9 - 50\/(-16))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.05, -5, 2\/13, 0.048.\nAnswer: -5, 0.048, 0.05, 2\/13, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-9)*(-189)\/70?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -872*j**3 - 327*j**2 - 140*j + 580316311.\nAnswer: -2616*j**2 - 654*j - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 45*b + 23. Suppose 0 = -k + 2*g + 6, 5*k - 5*g = -2*g + 16. What are the prime factors of d(k)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 48\/15*15\/6. Let z be 16\/2*(-132)\/t. Let w = 263 + z. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2441141 + 32?\nAnswer: 2441223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/8*20\/15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3181355 + -0.07223468\nAnswer: -3181355.07223468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 28682664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 + 4*z + 7. Let t = 37 - 31. Suppose 0 = -4*l + t + 6. Let x be m(l). Solve -4*i = 9 - x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from jjjjjhjjhjjhjhjhhjj?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 3, -343\/9, -1, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 593 + 814 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6183 + 13633. List the prime factors of f.\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 0*x - 4. Suppose -x*p + 4*p + 3*s - 121 = 0, -2*s - 96 = -2*p. Suppose 0 = -g + 2*c - 13 + p, -c + 99 = 3*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19\/5 in -0.06, -3, -9, 3\/4, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 7 + 3. Which is the closest to -0.1? (a) -1\/3 (b) z (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2603454247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*v**3 - 8*v**3 + 11*v**3.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376*z - 402 = -477*z - 4667 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 307\/4108 - -25\/316. Which is the nearest to -1? (a) 1 (b) -1 (c) -104 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 34828 and -0.0249318552.\nAnswer: 34827.9750681448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 23*i + 2632997 = -24*i, 5*l + 3*i - 13165009 = 0. Round l to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21304728 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 9*a - 6493 = -5*a, 0 = o + a - 937. What are the prime factors of o?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.3 (c) 0.086 (d) 2\/7 (e) 4 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 - -57. Let j = 127 - o. What is the remainder when j is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*k**3*y + 4*k**2 + 13*k*y + y wrt k.\nAnswer: -228*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 7:22 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 5:00 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 240130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 + 1. Let v be m(1). Suppose -2*a - 20 = -v*a. Let q be (-7)\/(-2) + (-27)\/(-18). Solve q*n - a = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (18 + -23 + -1 + -5).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1754 - 1.5754. Sort f, -4, 0.2, -45, -1\/14 in decreasing order.\nAnswer: 0.2, -1\/14, f, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-620)\/80*(70\/(-63))\/(115\/(-69))*-18.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 5:24 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 257 - 153. Suppose 0 = c + 94 + y. Let z = -140 - c. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2094*l + 195 + 4509*l + 195 - 390.\nAnswer: 6603*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1421 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 4, -5, 3, -2926 in descending order.\nAnswer: 4, 3, -5, -11, -2926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o + 5. Let h(y) = 13*y + 11. Suppose -33 = 6*s + 21. Determine s*w(m) + 4*h(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(324) + -1*(sqrt(324) - sqrt(324)*-1))\/(4*((sqrt(162) - -2*sqrt(162)) + -3*2*sqrt(2))).\nAnswer: -9*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (-27 - (22 - 40))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.2 - 2.8. Which is the nearest to -2? (a) i (b) -1\/8 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-14)\/y)\/((y*y**(-2\/117))\/y))**(-6\/11))**(6\/19))**18 assuming y is positive.\nAnswer: y**(126216\/2717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18 + -8 - 3\/(9\/6). Suppose f*k - 3*k - 320 = 5*o, 54 = k + o. Let v = 60 - k. Solve -v - 2 = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*n - 56*n - 780 = 0. What are the prime factors of n?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56885 - 37728. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(1983\/(-991) + 2). Let u = 28745\/2973 - g. What is the common denominator of u and -85\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1281 divided by -2\nAnswer: 1281\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*i - 14175 - 14551 + 29315 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i = -26*i + 736. Suppose -14*b = -i + 64. Solve q - 4 = b*m, 3*q + 4*m - 2 = -0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wllq when four letters picked without replacement from {v: 2, w: 2, h: 3, f: 1, q: 1, l: 8}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 + 3*k + 28 to the form p*k + x and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/5*l**3 - 4*l - 1\/5*l**4 - 18\/5*l**2 - 8\/5.\nAnswer: -(l + 1)*(l + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -1.374.\nAnswer: -0.4122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 471*w**5 + 671*w - 376*w - 435*w wrt w?\nAnswer: 9420*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccnccmc. What is prob of picking 3 c?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i. Let k(l) = 438*l. What is k(g(q))?\nAnswer: 438*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -5.48115292?\nAnswer: 5.08115292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 - o + 109. Suppose -6 = -7*h + 6*h - 3*q, 3*q = h + 6. What are the prime factors of b(h)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/16728 and -157\/71832.\nAnswer: 1221144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19081 - 19086. Let k = -95 - -1051\/11. What is the nearest to 0.1 in -0.5, u, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 1)*(-124*p - 309*p - 177*p)*(-1 - 3 + 6).\nAnswer: 4880*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -20001?\nAnswer: 20012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (-25 - -39))\/(2\/(-54)*-3)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 23906105 = -i - 32697718, -i + 70754781 = -5*x. Let s = x + 12353778727\/873. Let q = s + 80\/97. Calculate the common denominator of -46\/5 and q.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000309448 to 6 dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5522d - -2b?\nAnswer: 5525a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6079 - 7*z - 6079.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -126 + 125. Sort 2\/3, r, -14 in decreasing order.\nAnswer: 2\/3, r, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -9.7. Let r = 1 + q. Which is the nearest to 1? (a) -5\/6 (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -7*t**3 - 5*t**2 + 4*t + 5. Let a(p) = p**2 - p - 1. Suppose 75*k - 4*w + 16 = 72*k, -2*k - 13 = -5*w. What is k*a(l) - b(l)?\nAnswer: 7*l**3 + l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + (sqrt(200) + -1 - sqrt(200)) + 1)**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 73.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*c + 1056, 5*p - 1293 = -2*c - c. Let f = p - 131. Suppose x + z - f = 0, 2*z - 6 = -4. Does 43 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34\/3 + -32\/3. Let j = 86.1 + 7.9. Let m = -90 + j. Which is the closest to 2\/7? (a) n (b) m (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2645946 and 5184?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uch when three letters picked without replacement from {y: 1, c: 1, u: 1, f: 1, h: 1, i: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f - 12*f**2 + 2*f - 13877401 + 13877401. Let g(i) = -10*i**2 + 1. What is v(g(d))?\nAnswer: -1200*d**4 + 240*d**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 13*m - 73. Let d be (-78)\/4 + 3\/2. Let f = d + 27. What are the prime factors of k(f)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 16*u**2 + 17*u - 26. Let v be f(15). Let i = -2 - -2. Let b = i + 1. Solve -v*x - b = 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 64*w**2 - 143*w + 538. Differentiate b(y) wrt y.\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 10775*w - 2068230.\nAnswer: -5*(w + 213)*(w + 1942)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3378b (base 13) in base 14?\nAnswer: -2615a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 - -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 8*s - 34. Let f be r(3). Calculate the lowest common multiple of (-12)\/(((-11)\/22)\/(f\/(-3))) and 0\/(-2) + (34 - 0).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.05, 12\/7, 0.01, 1\/8, -1\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1040*v**2 + 35*v + 1276*v**5 + 1759*v**2 - 35*v wrt v.\nAnswer: 76560*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 307 in decreasing order.\nAnswer: 307, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 482760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4724*w - 144256 = 20027 + 43589 - 14188 for w.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 5*m + 8. Let a be u(-6). Let v(g) = -5*g**a + 2 + 2*g + 4*g**2 + 2*g**2. Determine v(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167361463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292 + 112 = -30*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 52143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 + 175750*b**3 + 5147951832*b**2 + 50261169602592*b - 50266317730176.\nAnswer: 2*(b - 1)*(b + 29292)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 10*v**2 + 4. Let j(d) = d**3 - 15*d**2 - 2*d + 20. Suppose -9 + 39 = 2*u. Let n be j(u). Let s be y(n). Sort 2, 6, s.\nAnswer: 2, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by (1\/(-3))\/((-3857)\/(-966) + -4)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -330 + 46*b**4 - 6*b**4 - 6*b**2 + 7*b**2 - b**2 wrt b.\nAnswer: 160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 18*b**4\/13 + 3722*b**3\/13 + 256266*b**2\/13 + 5856030*b\/13 - 1314036\/13 = 0.\nAnswer: -69, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k + 2. Let g(v) = 2*v - 2. What is 4*g(t) + 5*i(t)?\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3095*u - 7440*u - 7 + 7 to the form y + t*u and give t.\nAnswer: -4345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 120876?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 9. Find the common denominator of (14\/x)\/((-33)\/(-21)) and 79\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 243 - 275. Calculate the remainder when 139 is divided by (-2)\/(-8) + -748*2\/u.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y - 6*y + y as k + f*y and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -903*c**2 - 3 + 264*c**5 - 254*c**5 - 11*c**4 - 11*c**4 + 3 wrt c.\nAnswer: 600*c**2 - 528*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 1\/2*s**4 + 0 - 3*s**2 - s**3 - 7\/20*s**5 + 2*s. Let x(k) = 6*k**3 - 5*k**2 + 5*k + 5. Determine -5*w(d) - 6*x(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -711 times 0.3\nAnswer: -213.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -36022514142 and 5.\nAnswer: -36022514137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, p: 4, w: 6, d: 3}. Give prob of sequence qw.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2253661117 and 323.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9023 to the power of 1\/2, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - h + 4. Let t be f(0). Suppose 2*j - 17 = 4*x - x, -t*x = 4*j - 44. Calculate the remainder when j is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -26, 0.121, -0.1, 0.0186?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1402078?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-8) + (-21758)\/(-184). Let d be 16\/(-6)*(2 + c\/(-34)). Solve -d*i = -5*i + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24b + 0?\nAnswer: 24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1848979896 to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r. Let l be s(-4). Let i be (10\/(-4))\/((-2)\/l). Suppose 84 = 3*h + 5*c - 78, -i*c = -3*h + 162. Is 31 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 - 2*b**2 + 67 + 37.\nAnswer: -2*b**2 + 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2, 2, 41, 3 in decreasing order.\nAnswer: 41, 7, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(1\/12) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8*4\/(-8))\/(-5). Let r = 1.72 - -0.28. What is the fourth biggest value in 0.5, c, r, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710975 is divided by 730?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22684 and 5564.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 9*p + 7*p)*(-6*p**4 + 0*p**4 + 0*p**4).\nAnswer: -72*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 109031773607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/91, -652\/47, 3, 4, 0?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from gggxaaggaaggxaaoaog.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 713 and 41768.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(3\/(-18)))\/(3\/2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 8*r - 6. Let t be 24\/((-12)\/4)*-1. Let q be k(t). Let c(s) = -s**3 - 6*s**2 + 2. Let g be c(q). Solve g*l + 7 = 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -2778, 231, -1\/4?\nAnswer: -2778","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/91*(4\/(-6))\/1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -23*n + 5. Let w(l) = -11*l + 2. Let z(u) = 6*s(u) - 15*w(u). Let f = -8 + 12. Does 12 divide z(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 28*q + 171. Let d(t) = 3*t**2 - 57*t + 336. Let j(m) = 4*d(m) - 9*l(m). Factor j(z).\nAnswer: 3*(z - 5)*(z + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**2 + 1346248*b + 2692480 = 0.\nAnswer: -336560, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 10, 2, -3.7, 2\/7, -266?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -168*p + 0 + 1432*p + 7 - 7 as b*p + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2688\/(-2880))\/(1092\/(-650))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*a + 5 - 4 + 0 - 159*a**2 + 3 - 3 wrt a?\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f**2 - 5*f - 2. Let x(w) = -8*w**2 + 7*w + 3. Let d(u) = 7*t(u) + 5*x(u). Let v(l) = 15*l**2 - 21*l**2 + 9*l**2 - 4*l**2. What is v(d(o))?\nAnswer: -25*o**4 + 10*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44961 - -81721. Is h a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**6\/120 - 11*z**5\/60 - z**4\/3 - 13*z**3\/6 + 164*z**2. Suppose 3*g - 2*m - 8 = 2*g, 4 = 2*m. Is a(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/4 - 1428\/(-16) - -3. Let f = b - 48. Suppose -95 = -17*p + 160. What is the greatest common divisor of p and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 19*b + 3330 = 0. Calculate the highest common divisor of b and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133 (base 8) to base 6\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4)*0)\/(-2). Is -10*(-1 + -1 - r) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 3*o = 2*t + 10, 5*t - o + 25 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**3 - k. Let l(s) = 3*s**3 + 2*s. Let t = -3523 + 3517. Give t*m(g) - 4*l(g).\nAnswer: 12*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/4 - 20461*o\/4 + 122622 = 0. Calculate o.\nAnswer: 24, 20437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -4 + 8 - 34.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -71, -77, -47, 31, 169, 379?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkxje. Give prob of sequence jj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3585 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 81819209, 81819200, 81819191, 81819182?\n\"Answer: -9*c + 81819218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.38 + 5.380686. Round h to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*n**3 + n**2 + 228*n**4 - 20*n**3 - 19*n**3 as i*n**2 + l*n**4 + z*n**3 + h*n + k and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 8*u + 12. Calculate the remainder when 21 is divided by t(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2)*c)**(-1)\/(c**(-12)*c\/(c**9*c)))**(-27\/5) assuming c is positive.\nAnswer: c**(-594\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in 1\/2, -1\/3, 0.1, 1.88?\nAnswer: 1.88","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.2 + 7.9. What is the nearest to -2 in -5, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -221 - -1?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17806\/11 - 1616. Let j be (-56508)\/(-39611) - (-126)\/(-99). Which is smaller: j or c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 1900?\nAnswer: 17100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -3877\nAnswer: 5\/3877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-32))\/((-1)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 319100550 a multiple of 331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 31*v**2 - 29*v + 147. Let o be t(-32). Solve -90 = 13*g - o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*q + 3, q - w + 9 = -4*w. Suppose -2*m + 0*m + 202 = q. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 6. Let y = w + 2. Calculate the remainder when 2 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64514 + 32261 + 3925*d + 32253 to y + c*d and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**5\/80 + 57*d**4\/8 - 3249*d**3\/2 + 185193*d**2 - 52*d. Determine o, given that f(o) = 0.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 22*y - 26*y + 21 - 113, m + 5*y + 139 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three tenths of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 213111 to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -14.62.\nAnswer: -7.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 4\/1393 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c - 6*c = -208 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23935213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2234, 2, 4, 0, -2, -1 in decreasing order.\nAnswer: 2234, 4, 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mffmlmmmmfmmmmmlm?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d - 585. Let p(v) = 2*v - 243288*v**2 + 243290*v**2 - 2*v. Calculate p(g(j)).\nAnswer: 32*j**2 + 9360*j + 684450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)\/q)\/q**17 assuming q is positive.\nAnswer: q**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -50*r - 293. Let p be k(-6). Let g(w) = -w**2 - 3*w + 2. Let j be g(-2). Suppose -j*y - 874 = -p*y - c, -3*y + 2*c = -889. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -186759400 to the nearest one million.\nAnswer: -187000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(209)*-2 - sqrt(209)))\/(-1*sqrt(539))*-5*-4.\nAnswer: -180*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**4\/4 - 9*r - 25. Let n(f) be the first derivative of w(f). Determine n(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - -11233021?\nAnswer: 11233041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-8850)\/(-825) - (10 - (-3 - -2))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 12:47 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7935, -15871, -23809, -31749, -39691, -47635, -55581?\nAnswer: -63529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/(-115))\/(1\/(-23)) + 5\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15 - -5 - 7) + (0 - 1). Let b = o + 19. List the prime factors of b - 31\/(-2)*6.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -4\/11, -0.3, -4\/5, -0.1?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**4\/9 + 2213*j**3\/9 - 295939*j**2\/9 - 2863925*j\/9 + 350850 = 0.\nAnswer: -2339, -10, 1, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4672.185555 rounded to the nearest one hundred?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 1816656*o**2 + 412529877792*o.\nAnswer: 2*o*(o - 454164)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30 + 4)\/(-34 + -1). Let g = 7\/5 + u. Which is the second smallest value? (a) -0.4 (b) g (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-33) + ((-41)\/44)\/1.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 32027 divided by -32027\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 5 - 3*p + 2*p**4 + 1 as c*p**3 + n*p**4 + m*p + q + r*p**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a7bc69 + 5?\nAnswer: 1a7bc70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -442918650074.\nAnswer: -442918650076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 4*w**5\/35 - 43*w**4\/84 + 6*w**3\/7 - 2*w**2 - 21*w. Find v, given that f(v) = 0.\nAnswer: 2\/3, 9\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -7)\/(9\/108). Suppose 0*o - 3*o + 122 = 2*v, -w = -2*o - 2*v. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-11)\/(-33))\/(2\/3894) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2878233397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 255270554771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321*y - 75 = -2*w - 324*y, w - 5*y - 83 = 0. Suppose 4*l - 352 = -3*z + 100, 3*l - 15 = 0. What is the highest common divisor of w and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1294713 and 1294713.\nAnswer: 1294713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 55\/40 - (-399448)\/(-64). What is j rounded to the nearest one hundred?\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18821, 39273, 59723, 80171, 100617, 121061?\n\"Answer: -c**2 + 20455*c - 1633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87502, -87501, -87500, -87499?\nAnswer: -87498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.24445 + 0.04445. Is w at least 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39491\/24 - -1645. Let p = 22793 - 1162492\/51. What is the common denominator of p and g?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzjujujjzjjzuuxjjzju. What is prob of sequence uz?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**3 - 12*o**2 + 5. Let b be j(6). Suppose b*l = 20, 3*n = 4*n - 4*l - 97. What are the prime factors of n?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-1779.\nAnswer: 7116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4804869\/581 - -8270. Which is bigger: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.03.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 30341.377?\nAnswer: -30343.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/36*(32\/20)\/4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32.36 + 32. Let c = -1.54 + s. Let q = c - -2. Which is smaller: q or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406584?\nAnswer: 2, 3, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - -63. Is 12 a factor of j + ((-2)\/6)\/(2\/18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((3*sqrt(77)*-4 + sqrt(77))\/sqrt(11))**2 + (sqrt(1715) + sqrt(35))\/sqrt(5)*-6*1.\nAnswer: -48*sqrt(7) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 10*r - r**2 - 2 - r**3 + 0*r - 14*r. Let o be a(-1). Suppose -3 = -x - o. Solve 0*b - 4*b - 3*j = -7, 4*b + 5*j = x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 108, 460, 1064, 1926, 3052, 4448, 6120?\n\"Answer: a**3 + 120*a**2 - 15*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 410 + 65. Let p be (-2)\/(-12) - s\/(-18). Suppose 0*d = d - p. Solve 0 = -d*f - 8 - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from {w: 3, q: 1, g: 4, k: 1, b: 2, x: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122 + 9 + (73 - 138).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, e: 3}. What is prob of picking 3 s and 1 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-385)\/(-165))\/(((-308)\/24)\/(-11))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 0.083, -4 in decreasing order.\nAnswer: 2, 0.083, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-3*sqrt(17)*3)**2 - (3 + sqrt(612))**2).\nAnswer: -36*sqrt(17) + 759","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1113 and 15519.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 530 - 536. Let m = 12 - 11. What is the closest to m in 0.5, -4, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - (-801)\/(-15))\/((84\/40)\/(-7)). What is the greatest common factor of j and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -6*c**3\/13 - 21848*c**2\/13 - 7282*c\/13 = 0.\nAnswer: -3641, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -388 + 392. Suppose 86 - 21 = 5*d. What is the remainder when d is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.97 - -0.03. Suppose 2*o - 7 = -k - 1, -2*o + 6 = 2*k. Let p be (-3)\/8*(-2)\/o. Which is the closest to h? (a) 0 (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-5 + (-22)\/4 + 0)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8413450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69184.91 millilitres in litres?\nAnswer: 69.18491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 q when two letters picked without replacement from qljpjljlqcf.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2))**38\/((h\/(h**(-1\/2)*h))\/h**8))**21 assuming h is positive.\nAnswer: h**(-2877\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1070 by 5115.\nAnswer: 214\/1023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 224, 500, 778, 1064, 1364, 1684, 2030?\n\"Answer: g**3 - 5*g**2 + 284*g - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 68bd9 (base 16) to base 13\nAnswer: 120374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*f = -59*f - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 7*y**3\/3 + 17*y**2\/2 + 16. What is the second derivative of a(n) wrt n?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -17*o**4\/8 - o**3\/3 - 85*o**2. Let x(k) be the second derivative of -k**3\/3 + 28*k. What is x(l(g))?\nAnswer: 102*g + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2076000 rounded to the nearest 10000?\nAnswer: -2080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 21*y + 26*y**2 - 20*y - 1 + 2*y**2. Let f(t) = t**3 - 3*t**2 + 4*t - 2. Let p be f(2). Is a(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.84329 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 3\/97 (c) -1\/5 (d) -0.3 (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649*n - 2716 = -13100 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4061140 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -60) + (-1 - -12 - (53 - 40)) - -12\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - u**2 + 6*u - 2. Let t be y(5). Suppose 7*i = -170 + 310. Suppose 2*c = -i + t. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.5 (c) -2 (d) -32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i + 2*w + 6, -5*i + w + 219 = 209 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16196944 to the nearest integer?\nAnswer: 4025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**4 + 0*j**4 + j**4 + j**4 - 3*j**4 + j**4 + (-j**4 - j**4 + 4*j**4)*(-3 + 2 - 1) + 2*j**4 + 3*j - 3*j + 29*j**4 + 4*j**3 - 4*j**3.\nAnswer: 27*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*o + 101, 0 = 3*o - 7*s + 4*s - 66. Suppose 5*m + 0*m = 4*v - o, v - 11 = -3*m. Calculate the remainder when (-2 + (-8)\/(-2))*7 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*t + 2044 - 10861 = -33*t + 247. Let u(a) = 4*a**2 - 4*a + 3. Calculate the lowest common multiple of t and u(2).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*a = 1517, -2*z - 2*a + 1529 = -a. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 24*h**2 + h + 2. Let c(r) = 1. Let l(s) = -2*c(s) + j(s). Suppose 5 = -2*u - m, m = -9 + 8. What is the units digit of l(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*i = -59*i - 23*i - 1972. What is the fifth smallest value in -2\/3, 0.04, -5, i, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -92, -4, -2812 in decreasing order.\nAnswer: 1, -4, -92, -2812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377)*-2*1 + sqrt(1377)*1*-1)*-1*5)**2.\nAnswer: 309825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 - -55. Is -2 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in 7, -2\/3, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 1. Let k be p(1). Suppose -q = -4*d - 305000, 5*q - 3*d - 1083776 = 441224. Let f be q\/k*32\/(-2). What is f rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/5048 and 107\/6769368.\nAnswer: 6769368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 10404022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9248, 36899, 82964, 147437, 230312, 331583?\n\"Answer: -k**3 + 9213*k**2 + 19*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h + 9. Suppose 0 = -b + 5*s - 2*s - h, 4*b - 20 = 4*s. Calculate the highest common factor of b and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 1:38 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 4. Let t be n(2). Let u(l) = -l**3 + 2*l + 1. Is 3 a factor of u(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/3 + 1034*m**2\/3 + 11840*m.\nAnswer: 2*m*(m + 37)*(m + 480)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 268*w**3 + 36*w**2 - 36*w - 36. Let f(d) = -d**3 + d**2 - d - 1. Calculate -288*f(a) + 8*v(a).\nAnswer: 2432*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3169, 6348, 9547, 12778, 16053?\n\"Answer: 2*f**3 - 2*f**2 + 3171*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 2\/458909?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 625912?\nAnswer: 625910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -79 + -1 + (10433 - 10417).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-2) + -2 + 0. Let y = 657\/5 - 131. Suppose -10*v = -3*v - 14. What is the closest to a in v, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 1:37 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11382 = -5*h - h. Suppose 0*i + 5*y = i - 443, 5*y = -4*i + h. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -18, -0.1, -27, -1\/5, 2\/5?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17282890 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-38 - 4) + (2466 - 2409)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/23))**(18\/11)\/(f**(1\/7))**(-1\/31) assuming f is positive.\nAnswer: f**(11971\/54901)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = 2*q + 2*y - 1001, -5*q + 4*y = -2877. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 21*z**2 - 3*z - 9. List the prime factors of f(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 + 3*s**2 + 17*s**2 + (-3*s - 2*s + 3*s)*(-13 + 13 - 2*s) + 4*s**2 - s - s - 7*s**2 to l + q*s + y*s**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = d - 38, 0 = -2*d + d + 3*z - 2. Suppose 0 = -d*x + 11*x + 140. What are the prime factors of x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h**2 + h + 2. Let g(l) = 8*l**2 + 3*l + 5. Let m(j) = 7*f(j) - 2*g(j). What is the remainder when 42 is divided by m(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j - 7. Calculate the least common multiple of 1 and n(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5602 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 - 2*s + 0*s**2 - 2*s**2 + 3*s - 33 + s**2 + 9*s**3 + 2*s**4 to x + k*s**2 + j*s**4 + n*s**3 + d*s and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from jfhcjcfu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*b + 3422, 5*g - 966 - 7580 = b. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-12)\/(-72)*0)\/(3*1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -185 - -401. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s + 7. Let j be (2 + 3)\/(0 - 1). Let z(y) = 3 + 7 + 1 + 3*y. Let h be (18\/(-15))\/(6\/(-40)). Calculate h*f(b) + j*z(b).\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u**2 - 640135*u - 9. Let p(a) = a**2. Determine y(p(j)).\nAnswer: -2*j**4 - 640135*j**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188 divided by 188.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 369161*q + 29532870. Calculate i(-80).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6407 and 548618?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 98\/292995 and 88\/255.\nAnswer: 292995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1328 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -363753515 and 2.\nAnswer: -363753513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3*((-40)\/5)\/(-56)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -996 + 104581\/105. Let n(v) be the third derivative of 1\/672*v**8 - 1\/30*v**5 + 0*v + 0*v**3 - 2*v**2 + 1\/48*v**4 + 0 + 1\/40*v**6 - d*v**7. Factor n(p).\nAnswer: p*(p - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 2:08 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1423 - -1478. Solve -u*r = -58*r + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 738503.6l in millilitres?\nAnswer: 738503600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 25*a**2 + 1198*a + 10873. What is z(-9)?\nAnswer: 2116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1723513, 9, -5 in descending order.\nAnswer: 1723513, 9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -39292?\nAnswer: -3\/39292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -13087*b + 107853. Give y(8).\nAnswer: 3157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -16*z**3 + 3*z**2 - 3*z - 3. Let a be -9 + (-6)\/6*-12. Let b(j) = j**2 - j - 1. What is a*b(d) - l(d)?\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1878, -3752, -5624, -7494, -9362, -11228, -13092?\n\"Answer: l**2 - 1877*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6646215?\nAnswer: 3, 5, 563, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -91*d**2 - 7*d + 2. Let b be z(-2). Suppose -4*x = -0*r + 4*r + 60, -2*r - 3*x - 29 = 0. Is 22 a factor of b\/r - 1\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*v - 125*v - 86*v - 109*v + 332*v.\nAnswer: -102*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n**2. Let d(g) = -g**2 + 11*g - 18. Let r be d(9). Let h = 3 - r. Let m(l) = -l**2 - h*l**2 + 2*l**2. Calculate w(m(x)).\nAnswer: 24*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, 8, 32, -1 in increasing order.\nAnswer: -86, -1, 8, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3034014, 3034027, 3034040, 3034053?\n\"Answer: 13*y + 3034001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1987448 and 5713913.\nAnswer: 45711304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5930569?\nAnswer: 17, 20521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 603 (base 7) to base 13\nAnswer: 19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73.83 + 0.83. Let r = 1.534 - -71.566. Let b = r + y. Sort b, 1, -35.\nAnswer: -35, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 786559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, j: 3}. What is prob of sequence zjz?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, c: 5, l: 3}. Give prob of picking 3 l.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/105*-9*15\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*v - 92. Let g = v - 31. Solve z - 1 - 25 = -5*t, 2*t = -4*z + g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2235*s - 4*p + 60 = -2231*s, 3*s + 4*p - 41 = 0. Let q be (-2)\/6 + 37\/3. Which is smaller: q or s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k**2 + 4*k**2 + 0*k**2)*(15*k + 30*k + 1 - 12*k) to z*k**3 + m*k + h*k**2 + v and give z.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.09. Let h = -0.779 + -1.331. Let v = i + h. Which is the second smallest value? (a) v (b) 2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**5\/390 - 5*m**2\/2 - 4. Let n(g) be the second derivative of h(g). Suppose n(c) = 0. Calculate c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l**2 - 2*l**3 + 3*l + 0*l**3 - 2*l**2 - 748*l**4 + 749*l**4 to r*l**4 + p*l**2 + h*l**3 + s + y*l and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*f - 29*f - 136 = 0. What is the greatest common divisor of f and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27132 divided by 228?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 3*n - 5. Let h(r) = 2*r**2 - 4*r - 8. Let v(i) = -5*h(i) + 8*u(i). Suppose 588 = 22*o - 169*o. Calculate v(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -218, -645, -1370, -2531, -4266, -6713, -10010, -14295?\nAnswer: -19706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19.499 and 72.67.\nAnswer: 1416.99233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 18. Suppose r + 30 = -c*r. Let b = 5 - r. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 2*v + 1. Let g be w(3). Let s be (-7)\/(-735)*(-314)\/10. Let j = s - -1\/75. Is j less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 312390371?\nAnswer: 37, 379, 22277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -414100431*k**3*s - 344099080*k**3 wrt s?\nAnswer: -414100431*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -70348 (base 9) in base 10?\nAnswer: -46214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7582711493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117933 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 3*m**5\/100 - m**4\/20 - 11*m. Suppose d(p) = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 10:26 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -312, -673, -1180, -1833, -2632, -3577?\nAnswer: -4668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 185944306.299553 - 185945180.3. Let q = x + 874. Round q to 5 decimal places.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 26*z + 8. Let v be o(-5). Let -4\/5*a**2 - 2\/5*a**v + 0 - 2\/5*a = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 7*g**2 - 5*g - 7. What is the tens digit of l(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4888361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 6*r - 2. Is 23 a factor of f(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319237181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-7\/2))\/(l**(-4)*l) assuming l is positive.\nAnswer: l**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-14)*i*i**45\/i assuming i is positive.\nAnswer: i**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 33.52, -7\/6, 0.1 in decreasing order.\nAnswer: 33.52, 0.1, -7\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 36 = 10*r. What is the third derivative of 26*h**3 + 23*h**5 - 55*h**3 + 29*h**3 + r*h**2 wrt h?\nAnswer: 1380*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 112, 1703, 6168, 14989, 29648, 51627, 82408?\n\"Answer: 247*i**3 - 45*i**2 - 3*i - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + -2*sqrt(245) + 1 + -1)*-3.\nAnswer: -6 + 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 a factor of 4346825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -7. Suppose 0 = k*j - 19 - 1. Suppose -v + 4 = -m + j*m, 4*m = -3*v + 12. Solve 0*w - 17 = -5*w - v*u, 0 = -4*w + 3*u - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-4)\/2 + -31 + 40. Solve x*s = 29 + 7 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 836, 891, 1018, 1253, 1632, 2191, 2966, 3993?\n\"Answer: 6*b**3 + 13*b + 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -24*b - 68. Let q be j(-17). Suppose -s + 5*s = 3*x - q, 3*x + 2*s = 370. Does 24 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -10*s - 3. Let y(n) = -10*n - 6. Let d(z) = -28*z - 17. Let a(i) = 6*d(i) - 17*y(i). Give l(a(x)).\nAnswer: -20*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + n + 4*p + 34 = 0, 10 = n - p. Let z(f) = f + 1. Let i(d) = -4*d - 7. Give n*z(u) + i(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b + 6 - 2*b + 1. Let k be m(-2). Suppose 4*u + u - 5 = 0. Solve 3*i = -3*d + 6, -i + k - u = 3*d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 6.71055.\nAnswer: 3.71055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4555 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -214, -396, -578?\n\"Answer: -182*u - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4800*p**3 - p**2 - 15*p. Suppose 2*m - t = -30, -4*m - 8 = -4*t + 52. Let h be f(m). Round h to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -16*a + 1. Let r(j) = -2357 + 11*j - j + 2357. Give r(i(k)).\nAnswer: -160*k + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*g = -0*g - 10, -4*r - 4*g = -20. Suppose 4*s - 4 = r*s. Calculate the lowest common multiple of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -9*f**3 - f**2 - 8*f + 9. Calculate l(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -21, 3, 7, -8, -342 in ascending order.\nAnswer: -342, -21, -8, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.6437 + -0.3135?\nAnswer: -46.9572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 24*c - 130. Let z be v(-15). Solve -3*g - 3 = -3*a - 9, 4*g - z*a - 10 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 4:20 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5144 or -2\/31?\nAnswer: 5144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, h: 3, a: 4, o: 3}. Give prob of picking 1 o, 1 j, and 2 a.\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**3 + 87*x**5 + x**5 - 4*x**3 + 20*x**5 + 4*x**3 + (-7778 + 7778 - 427*x**2)*(2*x**3 - 7*x**3 + 3*x**3).\nAnswer: 962*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, -1\/21, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*c = -98*c - 435*c - 534*c - 79692 for c.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -14.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 1:40 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 8829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.883 (b) 0.1 (c) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -55.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 19*f**2 + 13*f - 34. Let t be c(-20). What is the remainder when 16\/(-48) - t\/(-12)*4 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35395711\/200 + 176978. What is the common denominator of y and 119\/300?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330389804 is divided by 4705?\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/4052940 and -59\/2400?\nAnswer: 162117600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/7)\/(156\/546)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533.\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - 0\/(-4 + 2). Suppose -t*d = -2 - 22. What is the third derivative of 3 - 3 + 2*r**4 - 7*r**4 + d*r**2 wrt r?\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - n - 33, v - 4 = n - 3*n. What is the greatest common factor of v and 100?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*g**2 - 394*g + 47 - 9 + 8 - 41*g**2 + 23*g**2.\nAnswer: g**2 - 394*g + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 3*i**2 - 5*i - 1. Let b be y(-4). Suppose 0 = -4*x - 11 + b. Let o(l) = l**3 + 18*l**2 + 15*l - 35. Let k be o(-17). Is k less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.57475 * -7.\nAnswer: -144.02325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02855 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w**2 - 26*w + 31. Let x = 23 - 10. Let d(a) = -10*a**2 - 53*a + 63. Let s(l) = x*f(l) - 6*d(l). Factor s(b).\nAnswer: -5*(b - 1)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5524992 divided by 1?\nAnswer: -5524992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*q + 76*q + 4*q**2 - 33*q - 24*q.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 117.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 6. Let t = 3 - -2. Let q be w(t). Solve r + 7 = -n - r, -3*n + 5*r + q = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1411.1 and -0.01.\nAnswer: 1411.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61380 is divided by 167?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12069691999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0.2, -1\/170267?\nAnswer: -1\/170267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10375, -10369, -10357, -10339?\nAnswer: -10315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 9*z**3 - 8*z**3 - 3 - 6*z**2 + 6. Let v be t(6). Suppose -19 = v*o - 25. Solve o*c = 5*c + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**6))\/(y*y*y**(-1)))\/(y*y\/y**(-1\/6))**(3\/16) assuming y is positive.\nAnswer: y**(147\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from oosdodsdlsdlsodl?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43 - 34) + -16 + -2 - (9 + 2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x + 3*x + 3*x + (3*x - x - 4*x)*(-1 - 1 - 2) + 3 - 6*x - 3 - 3 + 3 + 2*x + (0*x + x + 0*x)*(-1 + 3 + 0) to w + m*x and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3022, -9492, -22872, -46612, -84162, -138972, -214492?\nAnswer: -314172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**5 + 1894*h**3 + 467*h**2 - h?\nAnswer: 60*h**2 + 11364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1296)*-2)\/(sqrt(432)*2 + sqrt(432)))\/(-6*(sqrt(4) + sqrt(400)) + (3*4*sqrt(4) - sqrt(4))).\nAnswer: sqrt(3)\/165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (0 - -10) + 7 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 6417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -5*q - 76*p + 72*p, 4*q - 82 = -7*p. Calculate the highest common factor of 1241 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from yyyyydyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 246 and 1312.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 6. Let u(b) = 7*b**2 + 6*b**2 + 2*b**a - 17*b**2. Let r(c) = 12*c**2. Determine r(u(l)).\nAnswer: 48*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**2 - 118*v - 1536. Give k(-40).\nAnswer: -1616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 598*p - 629*p + 434. Sort p, -5, -22 in decreasing order.\nAnswer: p, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -153.39 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8217833ng to grams.\nAnswer: 0.0000000008217833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.138, 0.59, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 + 672*g**2 + 37632*g + 702464.\nAnswer: 4*(g + 56)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 + 95. What is the lowest common multiple of r and 8?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-48))\/((-191)\/764).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1043207 is divided by 238?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*z - 20. Let c be 2\/(-8) + 99\/12. Let q = z + c. Sort -3\/4, q, 4 in decreasing order.\nAnswer: 4, q, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 u when two letters picked without replacement from {k: 1, u: 7, i: 2}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3139 at most as big as 3141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-18))\/((-18)\/189*7)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -d516?\nAnswer: -d511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -7*a**4\/4 - 8*a**3\/3 - 2. Find the third derivative of k(z) wrt z.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytpj when four letters picked without replacement from ycyptcjj.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6652 divided by -10527\nAnswer: 6652\/10527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((-4 - -8) + -9 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - r**2 + 2*r + 15. Let l be g(0). Suppose 0 = -13*t + l*t - 52. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, n: 1, j: 1}. What is prob of sequence qj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 u, and 1 z when three letters picked without replacement from xuuuupzqqzqqxqupiuz.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002191223 to 6 dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -216*d + 350. Let i(y) = -72*y + 117. Let h(s) = -7*i(s) + 2*r(s). What is the least common multiple of h(3) and 2?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 15) + (3 + -3 - 0). Let g(u) = 222*u - 256. Let q(z) = -887*z + 1022. Let a(o) = m*g(o) - 3*q(o). Differentiate a(c) with respect to c.\nAnswer: 219","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (75432 - 37319 - 28715)*(0*g - 2*g + g) in the form q + a*g and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4377 + 0.8277. Which is the nearest to 0? (a) 3 (b) -0.3 (c) -4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -1*(636 - -11)*-8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 6:04 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**2\/2 - 5*y - 91. Give b(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b**3 - b**2 + b**2)*(14 + 12 - 29)*(-6 + 4 + 3) in the form c*b**3 + h + v*b**2 + z*b and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 8:11 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 + 7*i - 14. Does 32 divide k(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*d**4 + 0 + 1\/6*d**3 + 1\/2*d + 5\/6*d**2.\nAnswer: -d*(d - 3)*(d + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + -1 - -16*2\/(-7). What is the biggest value in h, 2\/5, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 3*a + 58 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30048 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3502 and 637.\nAnswer: 4139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 988*a - 13551*a - 156133 + 382125 = -276528 for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283425 is divided by 279.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -647, 5\/59?\nAnswer: -647","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*1*14\/77)\/(1\/3)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2637090487 a multiple of 361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8426, 16853, 25280, 33707, 42134?\nAnswer: 50561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 44475 (b) -4 (c) 2\/5 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 36, -0.5, -0.066, 2\/19, -3\/7?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4\/3 - 14*d**3\/3 + 45*d**2 + 200*d\/3 - 2000\/3 = 0 for d.\nAnswer: -20, -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13515781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + t**2 + 1. Let s(m) = -m**3 + 3*m**2 - 10*m + 3. Give 3*h(g) - s(g).\nAnswer: -2*g**3 + 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*b**2 + 434*b - 108.\nAnswer: -2*(b - 54)*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 2*b + 98. Let s be b*((2 - -2) + -4)\/(-1). Find c such that 0*c**2 - 2\/5*c**3 + s + 2\/5*c = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15554\/(-42))\/((-11)\/3).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*x - 70*x + 735 = 0. Solve 2 = -x*r - 5*w, 63*r + 12 = 62*r + 4*w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0863+-0.0354\nAnswer: -0.1217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2, 0.33, 1, 0.042, -20\/7, -7?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11192\/20*5\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/1451 (b) -1 (c) -0.57 (d) 3 (e) 2\/3 (f) 39 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135*t**2 + 2 - 2 - 6*t**3 + 7*t**3 + 87*t**2 to the form p*t**2 + m*t**3 + z*t + o and give p.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 7\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -32 (b) 2\/7 (c) 0.004 (d) -79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 10 = 159308*l - 159303*l, -3*l + 2 = 5*r for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47.064 - -58.0686. Let o = j - 11. Round o to four decimal places.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-7)\/(-14)*-2)*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.01, -5, -6\/277, -3?\nAnswer: -6\/277","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1826 + -774. Round p to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1155 - 1023. Calculate the remainder when 140 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) 0 (c) -0.02 (d) 2\/130845\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + 5 + (7 - 13) + (49 - 39).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -14*b + 552. Determine i(37).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28300806 and 1116?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 2:01 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m + 160. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**20*p)\/(p\/p**(7\/5)*p)*(p*p*p*(p*p**(17\/2)*p)\/p)**(-3) assuming p is positive.\nAnswer: p**(-171\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**6\/200 + 1327*o**5\/100 + 10634*o**2. Factor i(j).\nAnswer: 3*j**2*(j + 1327)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 - -215342?\nAnswer: 215331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 - -2.95. Let h = j - 7. Let q = 29.24 + -29.74. Which is the nearest to 1? (a) q (b) h (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598496078 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -17 - 11*s + 2*s + 3*s**3 - 9*s**2 - 8*s**3. Let w(f) be the first derivative of -f**4\/4 - 2*f**3\/3 - f**2 - 4*f + 30944. Calculate -2*l(x) + 9*w(x).\nAnswer: x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-6))\/(15\/(-9)). Let l = 35 + -33.2. Let d = -1.2 - l. What is the third biggest value in 1\/2, d, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5.209286 tonnes?\nAnswer: 5209286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1320345, -2640698, -3961047, -5281392, -6601733?\n\"Answer: 2*d**2 - 1320359*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -636 + 332*b**2 + 15*b + 381 - 85*b**2. Let g(c) = -247*c**2 - 12*c + 257. Let a(o) = -5*g(o) - 4*u(o). Find the first derivative of a(m) wrt m.\nAnswer: 494*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/66*1581\/(-1054)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 45 - 7*r + 35 - 112.\nAnswer: -7*r + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + 3 + -5 + sqrt(363) + sqrt(363))**2.\nAnswer: -5844 + 528*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t + 101. Is q(-19) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - t**2 + t**3)*(-3*t**2 + t**2 - t**2) - 15*t**3 + 11 - 2*t**5 - 89641*t + 89641*t.\nAnswer: -5*t**5 - 15*t**3 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 74104.5045 rounded to 0 decimal places?\nAnswer: 74105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29750001 is divided by 316489?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2 (b) -2 (c) -13 (d) -3 (e) 4\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4453254 - -54?\nAnswer: -4453200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1492826917.000477 + -1492827540. Let m = -8.29 - -631.29. Let b = a + m. What is b rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + m + 214988 = 4*m, -129016 = 3*x + 4*m. What is x rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285172289 a multiple of 836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/1 - 11\/(-11). Suppose -y + 342 = 2*g, -5*g = -0*g - o. Suppose 5*j - y = 213. List the prime factors of j.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.2. Let y be (-6)\/(-4) + (-4410)\/(-36). Let w be (6\/6)\/(2\/y). Which is greater: w or p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -327*b + 2089. What is z(6)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**5\/330 + 919*c**4\/132 + 306*c**3\/11 - 305*c**2 - c + 2. Factor k(l).\nAnswer: 2*(l + 1)*(l + 918)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**4 + 6*l**3 + 12*l**2 - 16*l - 2. Let n(z) = 2*z**4 - z**3 + z**2 - 6*z - 1. Let f(s) = 2*b(s) - 4*n(s). Factor f(q).\nAnswer: -4*q*(q - 2)*(q + 1)*(3*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6084)\/(-12)*-1*5\/((-1215)\/18). Factor -52\/9*j**2 - t*j + 0 - 2\/9*j**3.\nAnswer: -2*j*(j + 13)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-6) - 10\/4. Let r be (1 + 48)*(u + 0). Let t = r + 176. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/6 - 7771*p\/2 - 116615\/3.\nAnswer: (p - 23323)*(p + 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 55 = -103 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from qttqitt.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1275208086?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -2\/11, -0.3, 7, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3812480727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-623)\/(-3) - ((-160)\/30 - -6). What is the second smallest value in -2\/3, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l - 22. Let q(h) = -818*h**2 - 3. Determine q(w(v)).\nAnswer: -3272*v**2 - 71984*v - 395915","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 22599 - 78035. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2345.\nAnswer: 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-10)*(-3)\/((-189)\/(-546))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 2 + 3\/(-1). What is the third derivative of -3*c**3 - 5*c**u + c**2 + 6*c**3 - 4*c**2 wrt c?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 18*v**2 - 21*v + 39. Let n(w) = 5*w**2 + 6*w + 11. Let c be n(-2). Let l be h(c). Solve l - 26 = -5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 6 (c) 1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -980*m + 10. Let h(p) = 1468*p - 14. Give -7*h(n) - 10*o(n).\nAnswer: -476*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/8 and 2 - -7*1\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, f: 1, k: 1, l: 9}. Give prob of sequence lhlh.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ooooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8229902211.041 + -3.\nAnswer: 8229902208.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**3 + 2*f**2 + 2. Let k(u) = 10*u**3 + 7*u**2 - u + 7. Let y(t) = -7*g(t) + 2*k(t). Find the second derivative of y(v) wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 12:17 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8726 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-45450)\/(-1125))\/((-1)\/(-20)) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22161016.84765 - 22161525. Let h = s - -569.1523643. Let u = 61 - h. Round u to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8927.908 + 8976. Let d = 48 - r. Let q = 0.141 + d. Round q to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84 - 81. Suppose t + 2*t = 0. Solve -15 = -v*z - t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - m + 2. Let h(j) = -j**3 - 6*j**2 + 5*j - 11. Let u be (-16)\/(-96) + 65\/6. What is u*z(d) + 2*h(d)?\nAnswer: -2*d**3 - d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 0 (c) 39 (d) 0.1 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19015.45 nanometers to meters.\nAnswer: 0.00001901545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 2*g**3 - 3*g**3)*(252 + 2*g + 47 - 2*g**2 + 348).\nAnswer: 6*g**5 - 6*g**4 - 1941*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*s - 2 = 0. Let z be -4 + ((-6)\/(-9))\/(s\/(-9)). Is (z\/(-2))\/((-8)\/(-29552)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.44, 0, 10, 2\/7, 1\/7, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52338 and 390.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -93*c - 21. Let i(m) = 62*m + 12. Determine -8*i(o) - 5*v(o).\nAnswer: -31*o + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i + 45 = 0. Suppose -u + i = -0*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, 204, -2, 2, -1 in increasing order.\nAnswer: -10, -2, -1, 2, 4, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 2. Let a be s(-2). Suppose 0 = -a*z + 12 + 24. Calculate the least common multiple of z and 20 - ((-2 - 0) + 4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t = -23*t - 268. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 705985127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4630*l - 6 + 2 + 3 - 4598*l + 3 to the form c + f*l and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 112841, 113379, 113915, 114449, 114981, 115511?\n\"Answer: -c**2 + 541*c + 112301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -110 + 117. Solve -s - 5 = 3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50245 (base 8) in base 3?\nAnswer: -1001022122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3297 + 4074. What is the remainder when f is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 3, -10514?\nAnswer: -10514","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - -96. Calculate the greatest common divisor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 4619 = -2*y - 4619, -2*v + 4*y = 48 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 328128 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + sqrt(44).\nAnswer: -2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -184 + 358. Does 35 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 0*o**2 + 5*o**2)*(-2*o**3 + 6*o**3 + 3 - 2)*(-145 + 74 + 14).\nAnswer: -912*o**5 - 228*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6062073 - -75.71.\nAnswer: 76.3162073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 1. Let k(q) = q + 10. Determine -k(l) - 4*w(l).\nAnswer: 3*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -r**4\/6 + 1792*r**3\/3 - 802816*r**2 - 5936*r. Factor c(o).\nAnswer: -2*(o - 896)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.463 - 0.037. Let v = -5.5 - p. Which is the smallest value? (a) v (b) -10 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1654*k - 1674*k + 540 = 0. Calculate the remainder when 182 is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 152, -3, -2 in ascending order.\nAnswer: -3, -2, 0, 1, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 751069.2 milligrams in tonnes?\nAnswer: 0.0007510692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22295332 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0 (b) 0.5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 2, 4, -12 in ascending order.\nAnswer: -12, 2, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 2*t + 18, 4*t = 8*t + t - c + 15 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 5, 0.2, 0 in increasing order.\nAnswer: 0, 0.2, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + -3.8. Let j = 0.9 - k. Let t = j - 4.9. Which is smaller: t or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(4\/7)*f)**(-31))**(-50))**(-1\/31) assuming f is positive.\nAnswer: f**(-900\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2850 + -2845. Solve 15 = 3*t - p, 23 = 3*t + s*p + 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5271.\nAnswer: 3, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -69 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - c + 0*c)*(-4 + 1 + 1) - 4*c + 2*c + c - 2*c + 3 - 3 + (2 - 2 - c)*(3 - 2 + 1) - 5 + 5 - 4*c + 2*c - 2 + 2.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 - -45 - (0 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 11 - h**3 - 7*h**2 + 11*h**2 + 4*h**2 + 19*h. Let q be c(10). Let k(x) = -x**2 - 3*x + 2. Let v(d) = -d**2 - d + 1. What is q*k(f) - 2*v(f)?\nAnswer: f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.97 + -15. Which is the smallest value? (a) -3 (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18566042 to the nearest integer?\nAnswer: 4309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j + 150000 = 0. Round j to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3170 and 2536634?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f + 209483 = 545554. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1993 + -1981. Solve 12*u + w = 11*u + 4*c, -3*u + c - 14 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 3\/8*k**2 - 3\/20*k**5 + 2 + 1\/8*k**6 - 3\/4*k - 3\/8*k**4 + 1\/2*k**3. Find b, given that c(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/3))**10\/(f**(1\/3)\/f**(-1\/7)) assuming f is positive.\nAnswer: f**(130\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3683.97 - -44.97. Let h = j - -3640.0018. Let x = h - 1. Round x to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 510949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2\/77))\/k**(-1))**(2\/15) assuming k is positive.\nAnswer: k**(304\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 741 = -m, 5*d - d = 3*m + 737. Let n = 496 - d. Suppose -q - 46 = 5*f - n, q = f - 59. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*x + 400 = 97*x for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 276*n**2 + 11*n + 110. What is the hundreds digit of i(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/15)\/h*h*h\/(h\/(h**(2\/9)\/h))*h)\/(h**0*h*h)**(-25\/3))**18 assuming h is positive.\nAnswer: h**(1532\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*z + 35, 0*x + 54 = 2*x + 2*z. Solve -5*n - 3 = -x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6 + 4 = 0. What is the least common multiple of 11 and c?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4320*f**4 - 4*f**3 - f**2 + 25*f - 5. Let o(a) = a**3 - 8*a + 2. Let n(v) = c(v) + 4*o(v). What is the third derivative of n(u) wrt u?\nAnswer: 103680*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*k + 3. Suppose p - k = -0*p. What is the remainder when 9 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.733*-2566\nAnswer: -24974.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -2*z - 4, 0*o = 5*z - 4*o + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/11 in -5, -2, -22?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 29.6, -2, 0.2, -0.2, 4\/371?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2864 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: What is 703 minutes before 4:37 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b - 4*b - 2*b. Let u(w) = 32*w**3 + 2*w**2 + w - 2. Let v be u(1). Let f(o) = -o + 33 - v. Determine m(f(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 212, 5, 58, 3, -1 in decreasing order.\nAnswer: 212, 58, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*j = 83*j - 4, -2*d + 546 = 2*j. Is 17 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.26 - -11.26. Let j = 66152 + -66141.00072. Let i = d - j. What is i rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 115, 247, 427, 655, 931?\nAnswer: 1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 25*q**3 + 33*q**2 - 40*q + 51. Let f be g(22). Let w = 440343 - f. Round w to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2915)\/(-371) - 1\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 678468644 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2)*k)**(1\/7)*k**(-2\/3)\/k**(-5))\/((k**(1\/3))**(-12\/13)\/(k**3*(k*k**0)\/k)) assuming k is positive.\nAnswer: k**(2047\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfofssoossooo. Give prob of sequence so.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 504\/(-70)*4\/80*-5\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 7:17 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 11) to base 8\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 8 - 72 = 4*n, 0 = 2*n - 10. Let m be (-3524)\/(-16) - 2\/8. Calculate the highest common factor of t and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1050.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 127149 + -0.061.\nAnswer: 127148.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33491\/4 + 8373. Let l(f) be the second derivative of -q*f**4 - 1\/60*f**6 - 1\/8*f**5 + 7*f + 0 + 1\/3*f**3 + 2*f**2. Find u, given that l(u) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 142733184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8689 + 17338 - 8765 + 13*a - 5*a.\nAnswer: 8*a - 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -567*l + 599*l - 1280 for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260 - 5*d**3 - 5045*d**2 + 4997*d**2 + 260 + 4*d**3.\nAnswer: -d**3 - 48*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*j - 2*g + 8, -5*j + 2*g + 10 = 0. Solve 5*u - 19 = -2*d, j*u = 3*d + 4*u - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*z + 240*z + 687*z - 1 + 1)*(-3 + 3 - 3).\nAnswer: -2577*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-3) + 2\/(-24)*4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**4 + 13*s**3 - 39*s**3 + 2*s - 7 + 23*s**3 in the form g*s + r*s**3 + l + k*s**2 + o*s**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - 4 - (-21 + (-12 - -36))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -30*w + 168. Let z be n(7). Which is the closest to -1\/6? (a) -4 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 4*v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 30 = -0*o. Suppose s = -3*s + 16. Suppose 4 = a - b + o*b, -s*a + 16 = -b. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357383 = 28*g - 359707 for g.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10619 divided by -1517.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -275070750018?\nAnswer: -275070750013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11024427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d - 2. Suppose 2*h + h + 3 = u, 15 = 5*u + 3*h. Let z = u + -6. Let n(q) = -3 - 2*q + 4 - 4. Calculate z*b(j) + 2*n(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1972554 + -0.1972. What is w rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 2 - 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54106 - -87442. List the prime factors of m.\nAnswer: 2, 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 12 = -13*r. Suppose n + 10*i - 24 = 9*i, -5*n + 130 = r*i. Calculate the remainder when 288 is divided by n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2938*v**4 - 3*v**3 - 98288*v**2 wrt v.\nAnswer: -70512*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2*-3*sqrt(704) - sqrt(704)) + -3)**2.\nAnswer: 560*sqrt(11) + 34521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*u**6 + 90*u**3 - 2*u**2 + 191*u - 1.\nAnswer: 360*u**3 + 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 16, 0, 3\/7, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18254 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-2 - 2)) + 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-9)*x*(x*x*x\/(x\/(x\/(x\/x**(1\/22)*x))))\/x)\/(x\/(x\/x**23)*x*x**(-11)*x) assuming x is positive.\nAnswer: x**(-461\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 84*j**2 - 50*j**2 - 45*j**2 + j**3 - 14. Determine q(11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8290 - 3*i + i**2 - 5*i + i + 4152 + 4188 as g*i**2 + h + s*i and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**2\/5 - 53765016*v\/5 + 53765017\/5 = 0.\nAnswer: -53765017, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -2)*(-864)\/128 - 15\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74.7 + 75. Let y = -235.94 + 201.9. Let p = -34 - y. What is the third smallest value in -4, p, 1\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2241*d**5 + 6*d**3 + d**2 - 3*d - 31. Let l(g) = 2*g**3 - g**2 - g - 1. Let o(f) = 3*l(f) - n(f). What is the third derivative of o(c) wrt c?\nAnswer: 134460*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-212)\/26 - 16\/(-104). Is 6\/u - 16551\/(-36) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 2 - -51) + -107 + 81 + 21.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b\/(b**(-1)*b))))**20*b*(b*b**(-5))\/b*b*b*b\/(b\/((b**(-4)\/b)\/b)*b)*((b**(-1\/8)\/b)\/(b*b*b*b**(-4)))**(-29) assuming b is positive.\nAnswer: b**(277\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -21 (b) -2 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -148 + 12?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32618?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 times 1?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d**(-2\/5)\/d))**(-2\/33)*d**(-3\/11)\/d**(3\/2)*((((d*d\/d**(1\/5))\/d)\/d)**(-2\/125))**(-2\/13) assuming d is positive.\nAnswer: d**(-1061389\/536250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 6*c**2 - c + 7. What is r(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -522 + 1003. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1841331*h**3 - 8200418*h**2.\nAnswer: -11047986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + (-6 - -14 - 7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9141880*o**5 + 8*o + 142196.\nAnswer: -182837600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17340413*w + 7364466 with respect to w.\nAnswer: 17340413","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r**3 - 16*r**2 - 41*r - 291. Calculate the remainder when t(-8) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -14*y**2. Let b(j) be the second derivative of -17*j**4\/6 - j**2 - 5451*j. Calculate c(b(z)).\nAnswer: -16184*z**4 - 1904*z**2 - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12902, -25996, -39100, -52220, -65362?\n\"Answer: -r**3 + r**2 - 13090*r + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 6:29 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -447, -439, -431?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/2 + (-92)\/(-8). Suppose m + 22 = 3*b. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by 1.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 2*b - 2. Let q be t(-3). Let o be ((-2)\/(-4))\/(q\/(-750)). Suppose 3*i - o = -4*x - 1884, -5*x - 2238 = -4*i. Round x to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i = -4*v - 92, 4*v - 4 = 0. Let s = 16 - 12. Calculate the greatest common divisor of i and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 17 = 2*z - 7*z, -25 = 5*z + 5*t. Let g(l) be the second derivative of -l**4\/4 - l**2 - 133*l + 1. Let a(x) = -4*x**2 - 3. Calculate z*g(h) + 2*a(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54630 and 3007078?\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1103 (base 11) to base 7\nAnswer: 4146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 1617483?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(1\/4)*l)\/l)\/l*l)\/l**(-2\/9))\/(l**4\/(l\/(l*l**(-3))))*(l*l*l**(-3\/5)*l*l*l**5)\/(l**(-1\/4))**(-4\/9) assuming l is positive.\nAnswer: l**(1397\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 174600641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (0 - (10 + -15)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -786955 divided by 5\nAnswer: -157391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + (3 + sqrt(19)*1)**2.\nAnswer: 6*sqrt(19) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*d = 27*d + 30. Let q be (-858)\/(-8) + (-21)\/(-12). Sort 0, q, d, -3 in descending order.\nAnswer: q, d, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -113, -273, -509, -827, -1233, -1733, -2333?\nAnswer: -3039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -25, 1 in decreasing order.\nAnswer: 1, -2, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i + 38. Let m be f(-14). Let v be (-4)\/(16\/4) - m - -2. What is the greatest common divisor of v and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 7*q**2 + q + 7. Let l be f(-7). Let v(b) = 7 + b - 2*b + l + 0. Calculate v(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52784 - 10985. List the prime factors of s.\nAnswer: 3, 13933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 482, 339, 86, -283, -774, -1393, -2146, -3039?\n\"Answer: -s**3 - 49*s**2 + 11*s + 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -g - 4, 5*r - 5*g = -30. Let x be ((-45)\/(-30))\/(3\/8) + (-8 - -1). Sort x, r, -4 in descending order.\nAnswer: r, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 + 3.7. Let t = -24 + 29.4. Let k = 5.4 - t. Sort k, j, 3\/7 in descending order.\nAnswer: j, 3\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -4*i + 60. Let a = i + 35. Suppose -2*u - 2*u = 2*o - 106, -5*u = a*o - 135. What are the prime factors of u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-468)\/(-84))\/(-13))\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 532.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*i - 4 - 41 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 17*d - 8220 = 0. Let y = d - -411. Solve 8 = o - 2*g, -3*o + 3*g + y*g = -15 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3542 divided by -161?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2463300 and 1806420?\nAnswer: 27096300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - x + 1. Let q(w) = -2*w**2 + 3*w - 8. Let b(s) = -3*a(s) - q(s). Let g(t) = 1. Suppose -4*m - 3 = -m. Give m*b(z) + 5*g(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 653944 = 5*a, 4*a - 490026 = -3*r + 33154. Let q = a + -72305. Let d = 8487 - q. Round d to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.1891132.\nAnswer: -0.03782264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/(sqrt(99)\/(sqrt(22)\/sqrt(2)))*-5 + sqrt(1800)*2*-1)*6)**2 + 0.\nAnswer: 304200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + k + 2*j + 17, 5*j + 20 = -5*k. Let u(d) be the third derivative of d**6\/120 + d**5\/6 + 7*d**4\/24 + 7*d**3\/6 + 4*d**2 + 5. Determine u(k).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 23*v + 24 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 6. Let t(z) = -12*z**2 + 7*z + 4 - z**m + 2*z**3 - 4. Let q(f) = -4*f**2 + 2*f. Let x(w) = 7*q(w) - 2*t(w). Factor x(c).\nAnswer: -2*c**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 0 - (-4 - (-22 - (-7 - 2 - 2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 339211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - -6. Let o(q) = -5*q**3 + q**2 + q + 1. Calculate the remainder when y is divided by o(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 315*0.01\nAnswer: 3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1734 to two dps.\nAnswer: 1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 579 + 2*k**2 - 1940 - 976.\nAnswer: 2*k**2 - 2337","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 11*g**2 + 21*g + 21. Let p(m) = 4*m**3 + 33*m**2 - 69*m - 64. Let b(v) = -2*p(v) - 7*w(v). Calculate b(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 3*d + 2. Determine z(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 8*s - 9. Let r(a) = -6*a**3 - 16*a**2 - 17. Let z(d) = 7*d**3 + 17*d**2 - d + 17. Let b(v) = 5*r(v) + 4*z(v). Let j be b(-6). Give h(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 3:24 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/24 - -2)\/(6\/4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*c + 20, -2*c + 7 + 8 = -3*u. Let h(y) = -3*y**2 - 7*y + 15. Let z(d) = d**2 + 4*d - 8. Let f(p) = u*z(p) - 2*h(p). Is f(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24345 and 1271955?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 at most as big as 43\/1607982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-72)\/(-15) - 8\/10. Solve b = 3*w + 18, z*w - 3*b + 0*b = -29 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/11601 - 3863\/23202. Which is the nearest to 1? (a) 0.1 (b) j (c) -2.4 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 1, t: 4, w: 4}. What is prob of sequence ww?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2851 or -28511\/10?\nAnswer: -28511\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87255958 by -7702.\nAnswer: 11329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1802, 1800, 1798, 1796, 1794?\nAnswer: 1792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 80. Let q = -68.11 + s. What is q rounded to 1 dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -425 - -737. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(-3 + 3 + 2*j**4 + (-4*j**2 + 4*j**2 + j**2)*(2*j - 2*j + 2*j**2)) - 8*j**4 + 10*j**4 + 12*j**4.\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*n + 4, 4*n - z + 10 = -9. Let k be 6\/n + 52\/8. Suppose -4*o = -2*b - 30, 6*o + k*b = o + 15. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwcwgnngnn. Give prob of sequence gn.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 448.6 - 449. What is the nearest to -0.039 in -0.2, x, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9*v + 33. Let i be k(-4). Let x be ((-12)\/8)\/((-5)\/((-50)\/i)). Suppose -7*j + 5*j + 434 = 4*s, 2*j + x*s = 437. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 9*f**2 + 3*f - 9. Let z(b) = 53*b**2 + 17*b - 51. Let q(s) = 17*k(s) - 3*z(s). Let n(m) = 924*m. What is n(q(j))?\nAnswer: -5544*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 330 and 3036?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, p: 3, o: 1, e: 5, a: 5}. Give prob of sequence eo.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1\/4, -9\/127, -2, 7, -3 in increasing order.\nAnswer: -3, -2, -1\/4, -9\/127, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14178?\nAnswer: 2, 3, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 145, 84 in ascending order.\nAnswer: -4, 2, 84, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 98, 124, 152, 182, 214, 248, 284?\n\"Answer: p**2 + 23*p + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -101, -364, -875, -1718?\nAnswer: -2977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 186329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.02 + 14.79. Which is the closest to -0.2? (a) 3 (b) 0.2 (c) -4 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 2*h + 25 = 0, -2*z + 7 = 3*h + 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**3 + m**2 + m - 25. Let p be f(-7). Let y = 2494 + p. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 347794 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, o: 11}. What is prob of sequence oow?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 84, 133, 170, 189, 184, 149, 78, -35?\n\"Answer: -b**3 + 56*b + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46792 and 340370857.\nAnswer: 5849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o - 279 = -58. Let c = -15 - o. Solve -5*z - 5*f = -10, 2*z - 2*f = -c*z - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.16, 0, -30.9?\nAnswer: -30.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 7*h = 2*h - 7, -2*d - 14 = -3*h. Let u(t) = t**3 + 6*t**2 - 10*t - 7. What is u(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 - 3*t**3 - t**2 + (-4 + 4 - t)*(-t**2 - t**2 + t**2) + t**3 + 2*t - 2*t + t**3 - t**3 - 3*t**3 - 145*t**3 + 36*t**3 - 57*t**3.\nAnswer: -170*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 24809*v = 24806*v + 38, 2*l = -4*v - 24 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6697 = 46874\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 9*i**2 - 3*i. Let n(o) = -15*o + 5*o**2 + 10*o + 12*o**2. Let a(g) = -3*n(g) + 5*u(g). Let b(p) = 3*p**2. What is b(a(z))?\nAnswer: 108*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, l: 1, x: 6, v: 3}. What is prob of sequence qqqv?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.41 + 0.51. Let r = -2738\/153 - -160\/9. Let t = -1 + 1.3. What is the closest to u in r, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(784))\/(sqrt(175) + -2*sqrt(175) - sqrt(175)) + -1 + -1)**2.\nAnswer: 8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 4. Let m be k(-16). Let b(z) = 10*z**2 + 11*z - 55. Let p(j) = 3*j**2 + 4*j - 19. Let t(i) = -2*b(i) + 7*p(i). Does 24 divide t(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 13, 1.71?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003144317 to 6 dps.\nAnswer: 0.003144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49289*x = -53894*x + 211830 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 4*l - l)*(-8 + 8 - 17*l) + (-2*l + 0*l - 3*l)*(-3*l + l + 3*l).\nAnswer: -39*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-900)\/(-8960)*8 - 3\/7\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 8:05 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255495611?\nAnswer: 7, 1103, 33091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.33 - 0.62. Let s = f + -0.71. Which is the third biggest value? (a) -3 (b) 5\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, w: 10}. Give prob of picking 1 w and 1 c.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (63325*-2)\/((-14)\/20*10\/(-476)). What is y rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 144 divided by -1299\nAnswer: -48\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -122194 greater than -122200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3696 = -122509*j + 122443*j for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.36 + -0.06. Let w = l + -0.5. What is the nearest to -0.1 in w, 0.3, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1304*s - 1324*s - 1 + 1 - 8*s as c*s + w and give c.\nAnswer: -2636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -125313708 divided by -13044?\nAnswer: 9607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11909, 25516, 39123, 52730?\nAnswer: 66337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396 + 404 - 28*f + 400 - 1588 + 390.\nAnswer: -28*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**9*h\/(h*h\/(h\/(h*h**(-24)*h))))\/(h**(-8)\/h)**(-32) assuming h is positive.\nAnswer: h**(-257)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.116? (a) -2.97 (b) -3\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 590 = 52*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(1078)*-3 - sqrt(1078) - sqrt(22))*-2)\/(1*sqrt(1584)*1))**2.\nAnswer: 769\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - i - 9. Let s be v(0). Let k = s + 19. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4*8)\/6. Let x = -27.1 + 26. Let u = x + 0.6. Which is the nearest to s? (a) 3 (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*v + 135 = 0, 0 = 5*v + 8 - 3. Suppose -4*n = -j + 27, -4*j - n + 26 = -w. Calculate the remainder when 43 is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/(-36) + 254\/6. Suppose 3*j + 4*g = g + 87, 2*j - g = m. Round j to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - -12. Suppose 29 - 9 = -2*q - 4*s, -5*s - a = -4*q. Is 1 - q - (-58 + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*a**2 - 2)*(-27*a**2 - 3*a**2 - 107*a**2).\nAnswer: -274*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*g + 3. Let y be (4\/g)\/(3\/(-15)). Suppose -3*i + y*t + 28 = i, 5*i - 3*t - 33 = 0. Solve 0 = 4*k - i*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 - -62. Let r(z) = 10*z + 5. Let c(o) = 2*o + 1. Let u(w) = t*c(w) - r(w). Give u(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 4 = v - k, 4*k + 20 = v. Suppose v = -6*t + 2*t. Let o(q) = 171*q**3 - 343*q**3 + q**2 + 171*q**3 - 8. What is o(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2764 and 34472?\nAnswer: 23820152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 510 - 358. Let h be 194\/(-10) - 4\/(-10). Let g = h - -38. What is the greatest common factor of g and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3 - 50*r**2 + 94*r - 46 = 0.\nAnswer: 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*k + 4*x - 5, 4*x + 4 = 4*k. Suppose 0*u + 300 = k*u. Let c = -35 + u. Round c to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -223.5 + 223. Let g = 0.2 - -0.3. What is the nearest to 1 in c, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 16, -7, -1\/2, 8\/9 in descending order.\nAnswer: 16, 8\/9, -1\/2, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 2702?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*p*x**3 + 4*c**3*p*x + c**3*x**3 + 3*c**2*p + c*p - 2*c*x**3 wrt c?\nAnswer: 6*p*x**3 + 24*p*x + 6*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*o + 5*g + 15, 2*g = -3*o + 2. Let i = 0.2 - -13.8. Let p = i + -3. Which is the nearest to p? (a) 0.1 (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + 3*y + 0*y)*(0*y - 2*y + y) + 1 - 1 + y**2 + (-4*y + 3*y - y)*(2*y + 0*y - y) in the form j*y + z*y**2 + h and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 10*g**2 - 17*g - 19. Let d = -133 - -135. Suppose 3*j - 13 = 2*o, -2*j + 27 = -d*o - o. Is k(o) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4702 - -4709. Solve r*t + 10 = 17 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4431 = 276*l + 101*l - 166*l for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (378\/(-162))\/((-10)\/(-10))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -3\/5, 53, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 27. Suppose l + 15 = k*l. Calculate the lowest common multiple of l and (5 + (-232)\/40)\/(4\/(-150)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*11.\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 2:48 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 13\/(-5))*(-740)\/296\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (80*f + 757*f - 1759*f - 1144*f)*(-6 + 3 + 2 - 4 + 1 + 1 + (2 - 1 - 2)*(-1 - 1 + 0)) in the form w*f + a and give w.\nAnswer: 2066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7*i**2 - 3 - 5*i**2 - i**3 + 2*i - 5*i**3 + 4*i**3. Let b = -1 - -1. Suppose b = -j - j + 4. What is w(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 45. Suppose -7*b = -4*b - j. Let l(a) = -a**2 + 10*a + 13. Let v(u) = -2*u**2 + 19*u + 25. Let g(m) = -11*l(m) + 6*v(m). Determine g(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 490 = 5*k + 165, -4*h = -3*k - 376. Let o = k + 197. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6883331, 6883332, 6883333, 6883334, 6883335?\n\"Answer: g + 6883330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d - 2*d)*(-6*d + d**2 + 6*d)*(-3*d**2 + 2*d**2 + 5*d**2).\nAnswer: -16*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of 0 + 0*c + 12*c**2 - 7\/24*c**4 - 5\/3*c**3 - 1\/60*c**5. Let m be f(-5). Solve -2*j + 10 = t, 7*t - 2*t = m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -2, 1\/8, 1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1067*r - 207949 = -4476*r for r.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 207119 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6172309013.\nAnswer: 13, 59, 8047339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (365*z - 822*z + 386*z + (-2 - z + 2)*(-2 - 1 + 2))*(0 + 0 - 3)*(2*z + 8*z + 4*z) as i + c*z + h*z**2 and give h.\nAnswer: 2940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*o - 81 + 29 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 95, 687, 2297, 5435, 10611, 18335?\nAnswer: 29117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 5*n = 10. Let r(m) = m + 11. What is r(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2 - (-41 + 45).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4.3, 1\/4, -1653?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/4 - (-133)\/28. Suppose -3*h = -j*z - 1260, 1239 = -h + 4*h + 2*z. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(152) - (sqrt(152)*4 - sqrt(152))) - sqrt(152))\/((-4*sqrt(56))\/sqrt(7)))**2.\nAnswer: 2299\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 20 = 5*a, 0 = 2*r - a - 4 - 8. Let d = r - 1. Suppose d*b + j - 72 = -3*j, b - 15 = -2*j. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y. Let o(r) = -7*r**2 - 13*r + 13. Let v(t) = -t**2 - 2*t + 2. Let z(w) = 6*o(w) - 39*v(w). Calculate b(z(q)).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 10 = 5*v, 4*v - 24 = 3*k - 7*k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189 + j + 42 - 228 + 897*j**2 - 895*j**2.\nAnswer: 2*j**2 + j - 375","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/213644715?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 3*k. Let d(j) = 137*j + 713. Calculate the remainder when d(-5) is divided by w(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3799933 from -31273030.\nAnswer: -31273029.6200067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**3 + 2*v**2 + 6*v + 4. Let h(i) = -9*i - 2*i**3 - 15*i + 43*i + 3 + 2*i**2 - 14*i. Determine 4*h(o) - 3*x(o).\nAnswer: o**3 + 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c**3 - c**2 + c. Suppose -5*n - 20 = 19*i - 14*i, -2*n + 3*i + 17 = 0. Determine z(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 557*d**6\/10 - 993*d**2\/2 + 276*d - 5. What is the derivative of z(b) wrt b?\nAnswer: 6684*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*sqrt(275))**2.\nAnswer: 20*sqrt(11) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 7*x - 6. Let s(g) = -2*g + 5. Let o be s(5). Let w be c(o). Suppose 5*m = t + m + 21000, -w*m = 0. Round t to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y. Let o(w) = 60*w + 4735 - 4735 - 11*w. What is h(o(r))?\nAnswer: -147*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + 8. Suppose 3*a + 69 - 3 = 0. Let s = a + f. Solve -s*j = -j - 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m - 29*m - 37 = -149 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 19*p - 3*q = -9423, -4*p - 3*q = -12562. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-6)*q*q**(-3\/2)*q*(q\/q**(-1\/2))**(-32)*q**(-1\/8)*q**(-2\/11)*(q*q\/(q*q*q**(-1)))**(-45) assuming q is positive.\nAnswer: q**(-8695\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + -98. Which is bigger: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105629.43723 rounded to the nearest one hundred?\nAnswer: -105600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5730 and 117485055.\nAnswer: 234970110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/15 + 276\/(-36)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16912, -16911, -16910?\nAnswer: -16909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*g - 1 + 2*g**4 + 8*g + (-5*g - 31*g - 32*g)*(-28 - 6*g**3 + 28).\nAnswer: 410*g**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*h = 44*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9081 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33)\/(-2)*2\/3. Let c = i - 7. Let u(s) be the third derivative of -s**5\/60 + s**4\/6 - s**3\/6 + 3*s**2. Give u(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - b = -2 - 16, -3*s - 22 = 5*b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 + 118 - 118.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 q when two letters picked without replacement from {r: 1, q: 1, w: 1, t: 6}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*o - 762828 = -198*o + 751152. What is the greatest common factor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2 + z + 1. Let g be x(-1). Solve g = t - 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*l**3 + 200*l**3 + 104*l**3.\nAnswer: 280*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 z when three letters picked without replacement from {j: 3, i: 1, z: 3}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2. Suppose -5 = y - 2. Let k(r) = r - 3. Let o(c) = 12*c - 32. Let x(b) = y*o(b) + 32*k(b). What is x(h(l))?\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 2. Let a = z + 1. Find the second derivative of -h**2 + 10*h**2 + a*h**2 - 3*h**2 - 11*h wrt h.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -319\/3 - -108. Suppose 0*t - 5*t = 640. Let j = t + 638\/5. What is the closest to -1\/3 in j, h, 1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -18. Let m = -15.00000027 - b. What is m rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**3 + h**2 + h**2 - 12*h**3.\nAnswer: -8*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 2 - 7) + (41 - (26 - 4))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 5*k**2 - 5*k - 3. Let i be s(-4). Let y be (5\/2 + i)*14. Let d = y + -23. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -135915*b**2*s**2 + 15*s**2 - 5628 wrt b?\nAnswer: -271830*b*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 14*c**2 - 36. Let p(z) = -283676*z. What is q(p(a))?\nAnswer: 1126609021664*a**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 227\/5, -36 in decreasing order.\nAnswer: 227\/5, 2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/617 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4 - 4*p - 3*p**2 - 2 + 4*p**2 + p. Determine h(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w**2 + 10*w**2 + 3630*w**3.\nAnswer: 3630*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12772 and 0.009999629.\nAnswer: -12771.990000371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is c3ba (base 16) in base 3?\nAnswer: 2112201210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 6*t**2 - 7*t + 6. Let x be b(-7). Let q = -1824 - -1829. What is the third derivative of 35*j**6 + q*j**2 - 47*j**x + 33*j**2 wrt j?\nAnswer: -1440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7996889, -7996841, -7996793, -7996745, -7996697?\nAnswer: -7996649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*v + 11*v - 13*v to the form l*v + j and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -278 + 2?\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffdddkdkqdiigdkdi. Give prob of picking 1 f, 1 q, and 1 i.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.7+789433.7\nAnswer: 789434.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 211596.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*c + 47*c + 5411*c**3 - 23*c - 12*c)*(-2*c**2 + 2*c**2 + 2*c**2).\nAnswer: 10822*c**5 - 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -48*p**2. Let b(l) = 14*l - 17. Let u(w) = 5*w - 6. Let o(i) = 6*b(i) - 17*u(i). Determine n(o(d)).\nAnswer: -48*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18b24 (base 13) in base 6?\nAnswer: 1010202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*x - 5*y - 49, 0 = x - 3*y - 5. Let k = 21 - x. What is the remainder when 37 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 295, 697, 1257?\nAnswer: 1975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, m: 11}. What is prob of picking 4 m?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -2. Suppose -5*r + 35 = 5*q, -q - 3*q + 2*r = m. Find the second derivative of q*j**2 - 2*j**2 + 2*j - 2*j**3 wrt j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 39*p + 35*p, 0 = -3*g - p - 8. Let b(m) = m**3. Let t(k) = -k**3 + 3*k**2. Calculate g*b(l) - t(l).\nAnswer: -l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16551949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 25*p**2 - p + 1. Let k be n(1). Suppose -5*d + 0*d = -5. Let g be 0\/(2 - d - 0). Solve 0 = -l - g*l - 4*h - k, 2*l = h - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*m = -266*m + 3*x - 12051 + 12212, 6*m + 284 = 4*x for m.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 91*i**3 + 28*i - 28. Let w(n) = 10*n**3 + 3*n - 3. Let c(s) = -123*s + 218. Let h be c(2). Calculate h*w(v) + 3*x(v).\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**4\/12 - 3*d**3\/2 + 3*d**2 + 4*d. Let v be -3 + 1*(-65)\/52*4. Calculate r(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = b + 3*b - 5*i, -10 = -5*b - 2*i. Suppose 0 = -5*k - b*k - 550. What is the common denominator of 31\/11 and -2 + (k\/6 - 3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 36666, 36667, 36668, 36669, 36670?\n\"Answer: c + 36665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.529 + -0.029. What is the closest to -0.1 in -3\/2, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70907668?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 - 2*q + 1. Suppose 0 = -24*v + 20*v + 2*h - 6, -5*h = -15. Determine j(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 1. Let d(i) = i**2 - i - 3. Let j(k) = 6*k + 56. Suppose 97*q + 9 = 96*q. Let f be j(q). Give f*d(l) + 4*c(l).\nAnswer: 2*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 26. Let v(w) be the first derivative of -1\/4*w**4 - l + 3*w + 0*w**2 + 5\/3*w**3. Determine v(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - 4*t + 4. Let h(g) = 4*g. Let s be h(-1). What is the units digit of z(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88932 and 296440?\nAnswer: 889320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -3. Let y be (8\/20)\/(b\/4). Let z = -10 - -10.3. What is the second biggest value in y, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2269*s**2 + 2*s**4 - 7*s**3 - 2269*s**2 + (-2*s**3 + 3*s - 3*s)*(4*s - 3*s - 3*s) in the form x + l*s**2 + t*s**3 + o*s + w*s**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 6*v + 57. Let i = 21 - v. Sort 5, 1, i in ascending order.\nAnswer: 1, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (7 - 28\/13)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 3 = 15. Is (37\/2 - 4)\/(w\/66) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146525 = 104*f - 151933 for f.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20, 52, 170, 334, 544, 800, 1102?\n\"Answer: 23*n**2 + 3*n - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4864.4118 nanoseconds?\nAnswer: 0.0000000013512255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-53*v**2 - 14 - v + 48*v**2 - 125)*(3*v - v + 0*v + (2 + 0 - 1)*(-5*v + 3*v + 4*v)) to the form m*v + k*v**3 + q*v**2 + b and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -101112 (base 3) in base 8?\nAnswer: -434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -964534, -1928494, -2892452, -3856408, -4820362, -5784314?\n\"Answer: u**2 - 963963*u - 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/3, 9, 3.3478, -2.53?\nAnswer: -2.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 865? (a) 2\/85 (b) 4\/11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 6:28 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 3:46 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 divided by 2?\nAnswer: -95\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -471*c**2*t**3 + 116*c*t**2 + t**3 wrt c?\nAnswer: -942*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100001001100111110 (base 2) in base 10?\nAnswer: -922430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2120 (base 5) to base 10\nAnswer: -285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*5\/(-390)*-6.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002279323 to 6 dps.\nAnswer: -0.000228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 28. Let p be g(-12). Let a = p - 18. Solve 2*u = 3*i + 2*i - a, 5*u = 5*i - 25 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**4\/4 + r**3\/3 + r**2\/2 - r - 1. Let z(k) = -4*k**3 + 8*k**2 + 6*k - 7. Suppose 2*j = 11*j - 54. Calculate j*b(n) - z(n).\nAnswer: -2*n**3 - 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z + 5. Calculate x(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66768 is divided by 33318?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-10))\/((-11)\/(-55))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*o = 5*o + 5, 0 = -5*o - 5. Suppose 5*t - 7*t + 14 = -2*p, b = 2*t - 5*p - 26. Solve -t - 2 = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 8485?\nAnswer: -1697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*m**4*t - 5*m**3*t**3 + 4*m**3*t**2 - 2*m**2*t**3 + 30*m**2*t - 1 wrt m.\nAnswer: -216*m*t - 30*t**3 + 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x - 1 = 17*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 46, 225, 706, 1639, 3174, 5461, 8650, 12891?\n\"Answer: 25*o**3 + o**2 + o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47323124?\nAnswer: 2, 167, 70843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201 - (-2 + 3)*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 1. Let b be 335998\/(-7) + (-10)\/w. Round b to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5089 (base 10) to base 13.\nAnswer: 2416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 531 - 310 = -2*v, -v = 2*q - 418. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/370853483 and 57\/77?\nAnswer: 370853483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 12) in base 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 5364*g**2 + 5362*g**2 - 10726*g**2 - 5*g**3.\nAnswer: -5*g**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.0608867 times 0.2\nAnswer: 0.01217734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1242213 (base 5) to base 7.\nAnswer: -131651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r + 12. Let i(p) = 2*p + 7. Let q be i(-6). Let t be f(q). Suppose 0 = 4*o + 13 - 33. Solve -2*k - t*m = -o*k - 22, 4*k = m - 21 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**4\/4 + 5475*q**3\/4 + 16419*q**2\/4 + 16417*q\/4 + 1368 = 0?\nAnswer: -5472, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eighteen fifths of a century?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15376 and 26469536?\nAnswer: 820555616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (123 + -103 - 2202\/55) + 4\/110?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31123447 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -550, -549, -548?\nAnswer: -547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.08 + -0.38. Suppose -1 = -k - 0. Let t = -22 - -20. Which is the nearest to t? (a) k (b) 0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nine tenths of a minute?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 = -5*w + 2*x, 4*w + 198 = -2*x + x. Let i = w + 72. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 29*q**3 + 45*q - 22. Let h(g) = 22*g**3 + 34*g - 16. Give -8*d(x) + 11*h(x).\nAnswer: 10*x**3 + 14*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23928224?\nAnswer: 2, 313, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0*p - 95 = 0. Round p to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -273333*f**3\/2 - f**2\/2 + 5*f. Suppose -h = -4*r + 7, -3*r + 3*h - 9 = 7*h. Let a be j(r). Round a to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1.44, -17, -0.3 in descending order.\nAnswer: -0.3, -0.5, -1.44, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-10) - (-24)\/20. Suppose k + 11 = 4*z. Solve 0 = 3*f + z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198\/(-4)*(-201)\/(95073\/172).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 5*x + 8 - 0, -4*z - 3*x = -15. Let v(t) be the second derivative of -3*t + 1\/42*t**4 + 0 + 0*t**2 + 0*t**z. Factor v(f).\nAnswer: 2*f**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81\/23976*-36*8\/6\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18\/25 - 67\/100. Let n = d - 43\/60. Is -3\/2 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/2 + 48\/28 + -2. Let l = -248\/63 + g. Which is the nearest to l? (a) 31 (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 204433 - -31201?\nAnswer: 241134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2728951, -2728973, -2729031, -2729143, -2729327, -2729601?\n\"Answer: -3*b**3 - b - 2728947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6430, -0.5, -1\/3, -1, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y + 11 - 37 = 0. Suppose -2*l - g + 10 + 4 = 0, l = -y*g + 4. Suppose -4*c + 68 - l = 0. Is 15 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 k when four letters picked without replacement from bkkkkbkk.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78283 (base 9) to base 8.\nAnswer: 145434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - 0)*(-2560)\/(-24). Let s be o\/5*(-95)\/(-4). What is s rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v**(5\/6)*v*v))\/v)\/v**(6\/7))\/((v*(v\/(v\/v**(-6\/5)))\/v)\/v)**4 assuming v is positive.\nAnswer: v**(1283\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 10*c**2 - 24*c + 3. Let y be j(5). Let z = 93 + -53. Calculate the greatest common divisor of z and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) 303\/11 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 336\/(-60) - 6\/15 - -6. Suppose 5*u + 4 = a + 11, 3*a = -5*u + 19. Suppose -u*v = -4*v + 16. Solve h = 2*p - 0*p - v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*j**5 + 3*j**3 - 524*j**2 - 5983*j wrt j.\nAnswer: 80*j**3 + 18*j - 1048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4734399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cci when three letters picked without replacement from {i: 1, h: 1, r: 1, c: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7925, 31692, 71299, 126746, 198033, 285160?\n\"Answer: 7920*l**2 + 7*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.085 + -7.315. Let x = l + 7.1. Let w = -9\/14 - -55\/42. Put x, w, 5 in decreasing order.\nAnswer: 5, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -41*q**2 + 52 + 5*q**3 + 66*q**2 + 38 - 15*q - 45*q**2 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 18 = 19*p - 18*p, 0 = 5*p - 2*r - 55. Put p, -1, -5 in descending order.\nAnswer: p, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 71 = -3*u, -41 = -5*u + 2*u - 2*j. Suppose -2*i = 4*s - 22, i - u = s - 0*s. Let h = 50 - i. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -t + 4*x, -3*x - 9 = -3*t. Let d(y) = y**2 + 255*y - 1298. Let u be d(5). Solve u*p = -3*p + o - 20, o = t*p + 17 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 45*j - 41*j + 5*y, -j + 45 = -12*y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -10. Let m be c\/(0 + 0 - 2). Suppose 5*x + 20 = 5*y, -5*y - m*x - 3*x = 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 23352469?\nAnswer: 23352472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, a: 1, f: 1, n: 8, l: 2, x: 1}. Give prob of picking 1 x, 2 k, and 1 l.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 19*i**2 + 18*i. Let y be p(18). Suppose -4*a + 0*a + 192 = y. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146189 is divided by 15497?\nAnswer: 6716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 7*d**2 + 5*d + 1. Let a be x(-6). Suppose -24*u - 76 = -20*u. Let o = u - -33. Calculate the greatest common divisor of o and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-885)\/882 - (22\/(-2) - -10). Is -1 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 466 = 7*g. Let y be ((-1)\/(0 + -2))\/(g\/(-86912)). What is the tens digit of ((-6)\/(-3))\/((-7)\/(y\/2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**4 - 2650*z**3 - 2532637*z**2 - 1029540900*z - 150936912036 = 0?\nAnswer: -887, -438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2\/20*(1632\/720)\/(2\/60)\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, -0.06, 42, 2\/5, -3\/11?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 8309091?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 122*c**2 - 6*c - 24. List the prime factors of j(-3).\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v**4\/2 + 3693*v**3 + 172359*v**2\/2 + 499488*v + 135762 = 0. Calculate v.\nAnswer: -11, -2\/7, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-36)\/3*2\/(-6). Suppose z = w*z + 27. Let b(p) = -p**2 - 9*p + 1. What is the units digit of b(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115.2567 - -0.1567. Let a = -115 - u. Is -146 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, r: 5, s: 2}. What is prob of sequence yyrs?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/((-78)\/18)*(-2)\/(-39)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 0. Put 5, i, -5 in increasing order.\nAnswer: -5, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*z + 70*z + 21*z)*(2*z + 0*z - 4*z)*(12 - 3 - 19).\nAnswer: 2020*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 28*v**2 + 23*v - 7. Let p be n(-24). Suppose -4*c - 1365 = -p. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 4*v + 2 + 4, 5*w + 5*v = -10. Suppose -5*x + 4*z + 17 = 0, 4*z - 5*z + 2 = 0. Calculate the lowest common multiple of 3*(2\/(-2) + w) and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -91 + (-51800)\/(-925).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from accaaaaaccaaacaaacc. What is prob of sequence cac?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u - 31. Let n(y) = -2*y - 10. Let f(b) = -2*h(b) + 7*n(b). Let j be f(-6). Suppose -t = j*t - 50. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*q**2*r**2 - 97*q**2 + 3698*q*r**3 - 34 wrt r.\nAnswer: -10*q**2*r + 11094*q*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380*u - 340*u**3 + 380*u.\nAnswer: -340*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 536 - 529. Let f(z) = -34*z**4 + 5*z**3 - 51. Let u = 3 - 8. Let w(a) = -51*a**4 + 7*a**3 - 76. Let b(d) = u*w(d) + x*f(d). Differentiate b(s) wrt s.\nAnswer: 68*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1395 is divided by 459?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-153)\/(-68) - 1365\/84\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -2 - 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*x - 24*x - 2 - 12 + 11*x + 23.\nAnswer: -67*x + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 20378.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, p: 4, s: 3, g: 2, v: 2, a: 2}. What is prob of picking 1 p and 2 s?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5*p - 372, -w - 124 = -4*p + 161. Suppose 19*t - 11*t - p = 0. What is the least common multiple of 8 and t?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10799 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 6:09 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*r**3 - 6*r**3 + 13*r**3 + (-r - 2 + 2)*(r**2 + r**2 - 4*r**2) + 6*r**2 - 6*r**2 + r**3 + (-4*r + r + r)*(3*r + 2*r**2 - 3*r).\nAnswer: 21*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = y - 5*y - 8, 0 = -5*f + 3*y. What is the units digit of 4\/(-24)*f*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-77))\/(((-8880)\/7260)\/(-74)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -277, -45, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15a2e5 (base 15) to base 16.\nAnswer: ff983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 142960 and 142959 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -3\/4, -1\/5724, 0.1, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1544 <= -1544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 6*u. Suppose 2*f + x - 8 = u, -2*f - 2 = -0*f - 4*x. Let z(l) = 21*l - 3. Does 19 divide z(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 3)\/1 + -108. Let h = z + 437\/4. Put 1\/7, h, -2\/3 in increasing order.\nAnswer: h, -2\/3, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*w, 0 = -4*m - 3*w + 12 + 43. Solve -24 = -m*z + 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34212 - 5?\nAnswer: -34221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2886, 6134, 9382, 12630, 15878, 19126?\n\"Answer: 3248*a - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 875 - 719. Suppose 53*a - s = 14*a. Solve c - 2*k + 4 = -7*k, a*c - k = 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**2 - 2*l + 2. Suppose -g + 4 = g. Let h be (-6)\/15 - (-88)\/20. Let p(y) = -4*y + 4*y**2 - 2 + 3*y - 2*y + h. Give g*p(x) - 3*a(x).\nAnswer: -x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*t, 0 = 3*k - 0*t + 3*t - 15. Suppose 3*i - 7 = k. Let g = -558\/5 - -112. Which is the smallest value? (a) -1 (b) g (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4 + 3*(sqrt(300) + -1 + -4)*-1 + -2))**2.\nAnswer: -13500*sqrt(3) + 69525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4)*-2*9\/(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5.84 and -46716.\nAnswer: -46710.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000575921 rounded to six dps?\nAnswer: 0.000576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-4)\/5)\/(6\/(-15)) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/138567 and -79\/1839162.\nAnswer: 20230782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 >= 0.0276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s\/s**(-4\/15))*s**(-2\/11)*s)**25 assuming s is positive.\nAnswer: s**(-1195\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145\/(-45) - (-3 + 4)*-3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 6*p - 8. Let a be t(-8). Let i = a - -10. What is the remainder when i is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 246 - 246. Let o = 27 - 23. Solve q = -n*q, o*d - 20 = 5*q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -1\/105*c**7 + 0*c - 1\/6*c**3 + 0*c**6 + 0 + 3*c**2 + 0*c**5 + 0*c**4. What is the first derivative of b(p) wrt p?\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14246 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011600 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -14. Suppose 0 = -3*j - 15, 2*m - 5*j - 45 = 0. Let x = w - m. Solve 5*u = n - 9, -5*n + x*n - u = -19 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 17*n. Let q(o) be the second derivative of o**7\/1260 + 11*o**4\/12 + 14*o. Let m(w) be the third derivative of q(w). What is y(m(t))?\nAnswer: 34*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/3)\/((-6)\/(-45)). Suppose 3*y - f*j = 31, 4*y - 5*j - 56 = -2*j. Let i = 52 - y. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1\/4 (b) 3974 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*u**2 + 0*u**3 + u - 25*u**2 + 2*u**3 - u**4 as a*u**2 + y + d*u + h*u**3 + i*u**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6636 rounded to 1 decimal place?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 358644 plus -0.4?\nAnswer: 358643.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-63)\/6)\/((-325)\/(-1040)))\/((-10)\/25).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven quarters of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7 + 6 + 6*z + 6 - 13 wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -926.\nAnswer: 10\/463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(-2)*6\/(-95))\/1. Which is bigger: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58057*1497.\nAnswer: -86911329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2327.401l?\nAnswer: 2327401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430*d + 40824 = -416*d - 126*d for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 7*u + 2. Let g(v) = -v. Let c(h) = -2*g(h) + r(h). Let d(b) = -6*b**3 - 2*b**2 - b. Let y be -3*((-4)\/6 - -1). Let s be d(y). What is c(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5 - 3 = 0. Let b(n) = 104 - 100 + 0*n**s - 4*n**2 + 28*n. Let u be b(7). Solve -2*l = 5*m + 18, 4*m - 3*l + u*l + 15 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -1211022?\nAnswer: 1211021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21369600?\nAnswer: 2, 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16660471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 1\/480*v**6 - 2*v**2 + 1\/80*v**5 - 1\/96*v**4 + 101*v + 0 - 1\/8*v**3. Factor f(a).\nAnswer: (a - 1)*(a + 1)*(a + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 - 0.03. Let r = 0.03 - k. Let b = 4.03 - r. Put b, -0.3, -2 in descending order.\nAnswer: b, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3214 - -3213. Which is bigger: h or 640.5?\nAnswer: 640.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 475 and 1330.\nAnswer: 6650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2349.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 - 1231820?\nAnswer: -1231799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 22210 (base 3) to base 7\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-233856)\/(-870) - 269)\/(2*2\/(-520))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*w**3 - w - 8*w**3 + w**3 - 2*w**3 wrt w.\nAnswer: -36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d + 2 + 4*d + 136*d**3 + 160*d**3 - 8*d in the form k*d**2 + x*d + g*d**3 + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 133 + -1214\/9. Find the common denominator of (0\/(-1))\/(-1*1) and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 2:35 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 6:19 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 0.3, -2\/5, -15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1637959482 to the power of 1\/3, to the nearest integer?\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.01 - 0.19. Suppose 3*b + 0*b + 31 = -4*w, -2*w + 5*b - 9 = 0. Let h be (-1 + 0\/(-1))\/w. What is the second biggest value in h, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*j - 7285*n + 7281*n - 381, -2*n = 5*j + 51 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 + 2*i**2 + i. Let y be o(-1). Suppose -33 = -4*l + y. Suppose -13*t + l*t = -20. Solve 0*h - 5 = t*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32416\/10 + ((-352)\/(-55) - 6)?\nAnswer: 2, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 12. Let f(x) = x**3 - x - 2. Let h be f(u). Suppose -88 = -3*i + 5*o, 0 = -h*i - 5*o - 57 + 221. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*c + 348*c + 5*p = -117, -4*c = -p - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x - 13 + 13)*(x**2 + x**2 - 3*x**2) + (-2 - 3*x + 2)*(-x**2 - 3*x**2 + 2*x**2) in the form a*x**2 + s*x**3 + k + m*x and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 46, -31, -240, -647, -1318, -2319, -3716?\n\"Answer: -11*t**3 + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p + 0*p + p)*(2 - 1 - 3) - 5*p + 0*p + 3*p in the form q*p + d and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**2 + 3*p + 3. Let s(k) = -54*k**2 + 34*k + 34. What is -68*f(n) + 6*s(n)?\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 299947195144575 - 299947276747900.0999961. Let j = y - -81603331. Let p = j + -5.9. What is p rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -24*c**2 + 5236*c - 912. What is p(218)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/8 (b) 0.005 (c) 5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 2. Let d be p(3). Let f = 4 - d. Suppose 0 = f*z + h - 32, -z + 13 = -h - 3. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -151 in -0.5, 0, 2, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/2 - 4177*r + 17447329\/2 = 0. What is r?\nAnswer: 4177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7*v + 1456. Let d(p) = -11*p - 1453. Calculate 2*d(m) + 3*j(m).\nAnswer: -m + 1462","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 9:11 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.77 + 0.03. Let t = l + -1. Let d = -30 - -28. Which is the biggest value? (a) d (b) 2\/13 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 1)\/(32\/(-4) - 300743991\/(-37593000)). What is r rounded to the nearest one hundred thousand?\nAnswer: 12500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32344\/9 + -3601. Calculate the common denominator of -27\/7 and t.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -34*o**2 - 958*o + 5778. What is v(6)?\nAnswer: -1194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003882 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-4 - -2 - -3)) + -2 + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4330183 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1 + 2)*(-10 + 149). Let x = f + 213. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j = -15*j + 652. Let w = 232 - j. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -9*f + 5*f + 12, -u + 15 = 5*f. Let l = -5.26 - -4.8. Let h = l + 0.06. What is the biggest value in -2, u, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0884*2.93419.\nAnswer: 0.259382396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 28 = -4*o, 0*o = -o - d - 3. Let p = -1 - -9. Let w = -8 + p. Solve 2*t + w*t = -o for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5002349 plus -31436352?\nAnswer: -31436351.4997651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 59 + -58. Let l(i) = 7*i**2 + i - 2. Let k be l(j). Calculate the greatest common factor of 48 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 10*w**2 - w - 15. Let a be l(-11). Let x = a + -113. Suppose 4*s + 11 = 5*s + 5*p, 5*p - 10 = 0. Sort s, 7, x in decreasing order.\nAnswer: 7, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4\/9)*l*l**(1\/21)*l*l*l\/(((l\/(l*l\/(l*l\/(((l*(l\/(l\/l**(-1)))\/l*l*l)\/l)\/l))))\/l)\/l)*l*l*(l*l*(l*l**(-4)*l)\/l*l)\/l assuming l is positive.\nAnswer: l**(290\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/15 + 16\/40. Let k(l) = -l**2 - 8*l - 8. Let u be k(-6). What is the nearest to 1 in i, u, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + -5 + 8\/4. Let v(c) be the third derivative of -c**6\/120 - c**5\/15 + c**4\/24 + c**3\/3 + 17*c**2. List the prime factors of v(x).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 477*h**5 - 2*h**4 + 2*h**3 + 673*h - 3.\nAnswer: 9540*h**3 - 24*h**2 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63482 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26.8797l?\nAnswer: 26879.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/13)*((((h\/h**(-1\/6))\/h)\/h)\/h)\/h)**(-17) assuming h is positive.\nAnswer: h**(3655\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -34*n - 31*n + 64*n. Let d(i) = 10*i**2. What is y(d(o))?\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**3 + 4*n**2 + 243*n + 984. Give m(-4).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 176\/(-8)*14\/(-308)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -116443*b*x**2 + 106271*x**2 wrt b.\nAnswer: -116443*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/13 - 1709504*a\/13 + 365300490752\/13.\nAnswer: 2*(a - 427376)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -289, -891, -1489, -2083, -2673, -3259, -3841?\n\"Answer: 2*a**2 - 608*a + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, p: 2, j: 1, v: 1}. Give prob of sequence ps.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5872 + 31714. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -200 + 52*h**2 - 94*h**2 + 200. Let g(f) = 3*f. Determine l(g(b)).\nAnswer: -378*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -m - 2*m. Let x = 2 + 10. What is the remainder when x is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 - 1)*(-3 + 3 + 2*g) + (-49*g + 5*g - 2*g)*(4 - 1 - 1))*(g**2 - g**2 + 2*g**3) to the form h*g**4 + f*g + q + z*g**3 + s*g**2 and give h.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*o + 3 = 0, 0*y = 5*y - 4*o + 27. Let z be (-29)\/(-3) - 1\/y. Round z to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.45335 to one decimal place.\nAnswer: 59.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -78*n**2 + 0*n**2 - 4 + 109*n**2 + 3. Let a(t) = 126*t**2. Determine m(a(f)).\nAnswer: 492156*f**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 3. Suppose 3*h + g*h + 15 = 0. Let s(r) = -r**2 + 3*r. Let k(m) = m**2 - 4*m. Let n(x) = h*k(x) - 4*s(x). Let y(d) = -8*d. Give n(y(p)).\nAnswer: 64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**4 + 2 - 4*d**2 + d**3 - 6*d**2 + 12*d**2 as x*d**2 + t + w*d**4 + j*d**3 + s*d and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 752603775 a multiple of 1925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - b - 7525 = -f, -4*f = 3*b - 30118. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007065841 rounded to 7 decimal places?\nAnswer: 0.0000707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 15. Let c be u(5). Calculate the remainder when 6\/15 + (-396)\/(-10) is divided by -7 + c - (1 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 + 44*y - 2048. Let l be n(23). Let j = 39 + -20. What is the greatest common factor of j and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(150)*-2)\/sqrt(6) - sqrt(25)) + sqrt(25))\/(sqrt(605) + (sqrt(605) - 1*sqrt(605))).\nAnswer: -6*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1421 (base 14) to base 4\nAnswer: -313211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b9d - 2?\nAnswer: -ba1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60239 - -88582. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7457.212 nanometers?\nAnswer: 0.007457212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -659*p**2 - 1170*p**2 + 3894*p**2 + (2*p + 0*p - p)*(2*p + 3*p - 3*p).\nAnswer: 2067*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-9 + 4 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04993 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 101568 and 12696?\nAnswer: 101568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 2*f - 1. Suppose 6 = 3*n - n. Suppose -n*w + 32 = w. Let a be (-4)\/w + (-18)\/4. Determine x(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 10*t + 57. What is w(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)\/(h\/(h\/h**10)))**26 assuming h is positive.\nAnswer: h**(-416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -9*w. Let i(z) = -24*z - 3568. Calculate d(i(m)).\nAnswer: 216*m + 32112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 46. Let p be h(0). Let z = 122 - 123. Is (z - (-1 + p)) + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -263, -260, -257, -254?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from {r: 3, t: 2, q: 2, d: 4, j: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 1319*a**2 + 1326*a**2 + 2*a + 0*a - 2627*a**2.\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 81*z**2 + 43*z + 125. Calculate the remainder when y(-3) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 134*j + 273. What is b(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 14*o**2 - o + 14. Let l be u(14). Let h be 1 - (4 + l + -2). Let z be -5*h\/(20\/56). What is z rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -7*f + 88. Let a be k(9). Suppose -a*l + 15*l + 3810 = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*l - 700 + 831 = -2577 - 775 for l.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 48*h**2 + 6*h + 5. Let g be o(-3). Let z = g - 163. Suppose -10*c + z = -6*c. Is 22 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*a**2 - 274*a**2 + 31 + 140*a**2 + 179*a - 179*a.\nAnswer: a**2 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Suppose -6*o + o = 10. Let a = q - o. Solve f + 0 = -a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1291380936 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.06, 5, 0.3, 954, 0.133, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 131 = 3*o - 49, -5*a = -5*o - 270. Which is smaller: a or 58?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 143*v**2*z**2 + 179*v**2 + v*z**5 - 2*z wrt z.\nAnswer: 286*v**2 + 20*v*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/4 - 1963*g\/4 + 47265.\nAnswer: -(g - 92)*(g + 2055)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 2 = -15*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g - 83. Let d(n) = -n + 14. Let x(i) = 6*d(i) + l(i). Let f(q) = -13*q - 81. Let r be f(-6). What is x(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -12. Suppose -10*m = -5*m + 5*d - 5, m + 4*d - 4 = r. Let s be 2\/(-3) - 5\/(-3). Sort m, s, -78 in decreasing order.\nAnswer: s, m, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from isisitigtbtgiti?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdnnndsnsnnghnnsnn. What is prob of picking 1 d and 2 n?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3135952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 55\/20)*(-32)\/(-12). Suppose h*f = 3*o, 19*o = f + 22*o. Let b(n) = 1 + 4*n - 5*n - 2. Calculate b(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -1, -3\/2, 2, -0.5, 385?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5299 + 2856 = -232*u - 3677 for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*v)*(8 - 4 + 2 - 1 - 6 + 5 + (-1 + 0 + 0)*(1 + 1 - 1)).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16933*m + 32352*m = 16084*m + 53865 for m.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k - 34. Let n(z) = -2*z - 1. Determine 4*n(x) + r(x).\nAnswer: -x - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 163599097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -q - 74, 3*q - p - 2*p + 177 = 0. What is the remainder when 12\/3 + q\/(-1) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 3227.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 244 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 556019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 119\/15?\nAnswer: 119\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b + b**2 - 7*b**3 + b**4 + 5 + 17*b**3 - 7 - 8*b**3 + 35 in the form j*b**3 + t*b**4 + q*b**2 + z + g*b and give z.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 858 plus -25?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*x = -17*x - 52*x - 1666 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 28 + (-7)\/(21\/(-12)). Suppose -2*r = -d - 17, 0 = -5*d - 2*r - 165 + 32. Let v = d + x. Calculate the least common multiple of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttt. Give prob of picking 2 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + -21 - -44) + 1 + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.962 + 5.962. Which is smaller: h or 2\/11005?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 8\/(-28) + 8 + (-363)\/77.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -189*n**2 + n - 2. Let k be (1 - (1 + -2))\/(-2). Let c = k + 4. Let g be s(c). Round g to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 - 147 = 24*h - 279. Calculate the greatest common factor of 8445 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 10:08 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of n**5 + 135*n**4 + 12*n + 8 wrt n?\nAnswer: 20*n**3 + 1620*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3.2. Let w = -0.3 - h. Let j = -3 - -2.5. Which is the nearest to w? (a) 1 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 713068 or 1\/45?\nAnswer: 713068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.8, 3108, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 216 = -3*h, 0 = -5*h + 4*h - 4*q + 69. Let n(w) = -2*w - h*w**3 + 5 + 83*w**3 + 1. Let s(f) = 9*f**3 - 2*f + 5. Determine 6*n(o) - 7*s(o).\nAnswer: -3*o**3 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*p - 60 = 0. Suppose -7*i + 5*i = m - 9, 0 = i - m. What is the second derivative of -p*n**5 - 3 - 123*n + i + 136*n wrt n?\nAnswer: -300*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + -2. Let n be 32\/20*230\/u. Let w = -31 - n. Which is the smallest value? (a) 0.4 (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1549 - 554 - 995 + 2*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1921.9996612 + -1922. Round l to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f*l**3 + 7111*f*l*p**2 + 2*l**3*p**2 + 14*l**3*p - 3*l*p - p**2 with respect to f.\nAnswer: -l**3 + 7111*l*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3798340 divided by 3?\nAnswer: -3798340\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -79096362 divided by -26365454?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -53136, -53134, -53132, -53130, -53128?\n\"Answer: 2*y - 53138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -2*l**2 - 14*l + 2\/3*l**3 - 1\/12*l**4 + 0. Give g(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 183, 353, 519, 681?\n\"Answer: -2*r**2 + 176*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqfu. Give prob of sequence uf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -20130?\nAnswer: 20123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -0.3, 2\/15, -1\/4, 19, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 42556 and -0.3.\nAnswer: -12766.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 0*j**2 - 2*j**3)*(1 - 1 - 3*j)*(-3 + 1 + 4).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 4*q**2 + 11*q + 8. Let h be t(6). Let u = -11 - -15. Suppose h = b - u. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1196 - -110011302819?\nAnswer: 110011301623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2\/5, 36, 526, -52\/3 in descending order.\nAnswer: 526, 36, 5, 2\/5, -52\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 3*x + 1. Let l(b) = 66*b**2 - 11*b - 4. What is -2*l(o) - 6*s(o)?\nAnswer: -126*o**2 + 4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -5*x + 200. Let h be 1280\/(-48)*(-6)\/(-5). Let g = x - h. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*-2*sqrt(1573) - (-6*(sqrt(65)*2*-5)\/sqrt(5))**2.\nAnswer: -46800 - 110*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pau when three letters picked without replacement from {b: 2, u: 1, q: 1, p: 1, a: 2, i: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 658036470 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-2\/3)*w*w)*w**(-11))**(-15)\/((w\/(w*w*w\/(w\/w**(2\/7))))**(-2\/95))**(-1\/33) assuming w is positive.\nAnswer: w**(1243556\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*w - w = 987000. Round w to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 329 - 324. What is the smallest value in -0.247, o, 3\/4?\nAnswer: -0.247","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -99.6999 - -0.0999. Let r = v + 98. Round r to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 3. Let k(z) be the second derivative of z**3\/6 + z**2\/2 - z + 729. Determine -6*k(d) + 3*w(d).\nAnswer: -9*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**3\/3 + 5. Let x(i) = 7*i**2. Calculate q(x(c)).\nAnswer: -49*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -18*x**2. Suppose 2*y + 2*t = 14, 3*t - 1 - 22 = -4*y. Let f be (7 - (4 - y))\/(1\/1). Let m(v) = -6*v + f*v + 0*v. What is m(p(c))?\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 45 = 5*l. Suppose 0 = 7*h - 21 - l. Let f be 5*(-1 + 8\/5). Solve 0 = f*u + n - 3, -2*u - 4*n + h = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*u - 3*u**4 - 6*u)*(-1 + 3 + 0) + 4*u**2 - 4*u**2 + 2*u**4 + (-3*u - 2*u + 4*u)*(-25*u**3 - 40*u**3 + 126*u**3))*(-u + 6*u - 4*u).\nAnswer: -65*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 154.9 + -149. Let x = k + -6. Let b = x - -5.1. What is the biggest value in 3, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -2\/43, 142, 0.4?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17502.\nAnswer: 2, 3, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1040 divided by 52.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5030*a - 2105 wrt a?\nAnswer: 5030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -2, u = 3*n - 1 - 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 57*n**5\/5 + 283*n**4\/4 - 10*n**3\/3 - 738. Factor u(f).\nAnswer: f**2*(f + 5)*(57*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2536 = -n + 5*v, 3*v = -2*n + 1678. Is 35 a factor of (-4)\/(-24)*-3 - n\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 4*y**5 - 196*y**4 + 120*y**3 + 3664*y**2 - 10144*y + 7680 = 0.\nAnswer: -5, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1743495233 to the power of 1\/2, to the nearest integer?\nAnswer: 41755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**5\/7 + 20*h**4\/7 + 9216*h**3\/7 + 212544*h**2\/7 = 0.\nAnswer: -36, 0, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -153 + 157. Suppose b*i = -183 - 421. Let p = i + 526. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s - 20. Let d be t(8). Suppose -d*y - 2*n + 4*n + 4996 = 0, 4*n = 5*y - 6245. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000384704 rounded to six decimal places?\nAnswer: -0.000385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 7:16 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37*o**4 - o**3 - 124 + 178 + o**2 + 169 - o**2 wrt o.\nAnswer: -148*o**3 - 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1780 times -2\nAnswer: -3560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12276 - -110491\/9. Find the common denominator of f and 81\/1142.\nAnswer: 10278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*k**4*u - k**2*u - 3*k*u - 7*k - 5 wrt k?\nAnswer: 480*k**2*u - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 66.1, 1, -1343?\nAnswer: -1343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 1244500?\nAnswer: -1244510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 983.47 and -0.6.\nAnswer: -590.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaj when three letters picked without replacement from aaaaajja.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -1 (b) 0.0785 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11 - (-236)\/(-20))*(-3 - 2). Let o(x) = 180*x + x**2 - 180*x - 2 - 2*x**2. Give o(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + p**2)*(0*p**3 + 0*p - 9*p + p**2 + p**3).\nAnswer: p**5 + p**4 - 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -572964433*v**2 - 877259405*v.\nAnswer: -1145928866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*(-5)\/330)\/((-6)\/8).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/238825043?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -166 + 118. Let i = 41 - -2. Let v = i + j. Let t(a) = a**2 + 5*a - 1. What is t(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**2 + 6*a**2 + a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 634865 to the nearest integer?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -241 + 224. Which is greater: -20 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305534457 to the power of 1\/3, to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v. Let t(k) = 3249172*k. Determine t(l(q)).\nAnswer: -3249172*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455*h - 19994 = -546*h + 232*h for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*b = 60, h = 2*h - 2*b - 12. Let q = 2 - h. Let o = -3 - q. What is the smallest common multiple of 4 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*l - 2 + 4, 4*w - 20 = 4*l. Find the second derivative of -3*v - 2*v**2 + v**w + v**4 + 2*v**2 wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, m: 1, k: 1, e: 1, s: 1, x: 1}. Give prob of picking 1 x, 1 e, and 1 i.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 55 + 55 - 108 + 27*d**2 to the form i*d**2 + f*d + u and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*f**2 - f - 2*f + 3*f.\nAnswer: -111*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(84) + sqrt(84) - sqrt(84))\/sqrt(12) + 5*(sqrt(28)\/sqrt(4))**2.\nAnswer: -2*sqrt(7) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 146813500 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 197245164 and 0.4?\nAnswer: 197245163.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 5, -4, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l + 7738601 = 7*l - 3941934. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v - 38*v - 19*v + (0*v + 3*v - 5*v)*(0 - 1 - 1) in the form h + j*v and give j.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 8*s - 10. Let r be y(-3). Let t = r + 23. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -47 + 58 - (-1 - (0 + -1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1089 is divided by 538.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -7*n - 45. Let z = -25 + 6. Is 39 a factor of h(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 5*x**2 + 2*x - 12. Give a(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(13\/6)*(q\/(q*q**3))\/q**(-3\/4))\/(((q\/q**(-2\/13))\/q**0)\/(q**(-1\/4))**(-4)) assuming q is positive.\nAnswer: q**(-37\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12010342 (base 5) to base 4.\nAnswer: -122320101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 8*v = 4. Suppose -v*a - a = -215. List the prime factors of a.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 + 205\/(-30))*(-3)\/(-5). Is 4.25 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-13652740)\/300)*15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 9061 = l - 9085, 5*y = 3*l - 44 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235751 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 94 = 4*u, 3*u + 4*f = -2*u + 112. Calculate the highest common divisor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 22*d**2 + 21*d + 5. Let u be l(21). Solve u*j - 2 = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -3*y + 4, 5*j + 11 = y + y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 9 = 2*q - 5*q, 0 = -2*q + 2*y - 22. Let s = 5 + -3. Let j = s - q. Is j < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 7. Let v = 18 - 15. Suppose 4*k + g = -2, k - v*g = -k + 6. Give i(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 9*f**2 + 5. Let z be y(-9). Suppose 21 = -2*h - z*a, -4*a - 10 = 5*h + 17. Let d = 45\/4 - 11. Sort -5, h, d.\nAnswer: -5, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 3)*(1 + h - 1) - 1 + 1 - 2*h + (4 - 4 - 2)*(3*h - 4 + 4) - 2*h - 1 + 1.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzfzffnfffzr. Give prob of sequence zn.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 + -14 + 33 + -2 + 10 - -11?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 217901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44616, 178892, 402688, 716004, 1118840, 1611196, 2193072?\nAnswer: 2864468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2307854*w - 26 + 27 + 2307772*w.\nAnswer: -82*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**2 - 15*y**2 + 4*y**2 + 11*y**2.\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -176*m. Let s(t) be the second derivative of 5*t**3\/3 - 439*t. Determine s(a(c)).\nAnswer: -1760*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 1) + (9 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -21, 3178, 192?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 8. Suppose 0 = 5*g - 2*g + 5*c - 80, -5*g + 4*c + 84 = 0. Suppose 4*m - 16 = -3*p + 13, 2*p + 3*m = g. Calculate n(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 21*r + 58. Let j be t(-18). Let o = -57 - -82. Let l = o + -22. Solve l*s + 2 = -j*y - 5, -5*s + 3*y = 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71528?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 + 62 = -3*m. Let x be (m\/(-80))\/((-4)\/(-10)). Let p = -9 - -28. Solve -x*g = -5*t + p, -3*g - g - 4*t + 32 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 53, 64, 79, 98, 121, 148?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66346 not equal to 66345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 6561 = -20*v. Is 28 a factor of (258\/(-8))\/((v\/180)\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*(1 + sqrt(2))*-1 + (sqrt(162)*-3 + sqrt(162))*-2 + 1)**2.\nAnswer: 1012*sqrt(2) + 4353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 13*g - 3*g + 6*g - 14*g + 3*g. Let a(x) = -115*x**2 + x. Determine i(a(z)).\nAnswer: -575*z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8590 + 8590. What is the second biggest value in 7, s, 6, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*t + 25 = 0, -3*v + 5*v - 10 = -4*t. Suppose -12*o - 5*o = 17. Sort 2, v, o in decreasing order.\nAnswer: 2, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 14*w**2 + 5*w + 30. Let k be y(-4). Let m = 236 - k. What is the highest common divisor of m and 258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from kkasakkkkkakkkk.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 1\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -28*r. Let d(o) = -o + 2. Let y(l) = -3*l + 4. Let a(s) = -2*d(s) + y(s). Give p(a(g)).\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + 6366\/(-11671) + -166*2\/(-44).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 20001*y**2 - 25144398*y.\nAnswer: -3*y*(y - 4986)*(y - 1681)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -246*j + 11022. Is 124 a factor of i(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100000 (base 2) to base 13.\nAnswer: c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 9, 0*s - 4*s = 4*k + 24. Let o = 8 - 6. Let x(y) = -4*y**2 - 3 + 0 + y**3 - 2*y + 7*y**o. What is x(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143420?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7875213 is divided by 816?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*a - 63*a + 937 - 959 with respect to a.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1340*g + 475*g - 34485 = 0 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x + 1. Let a(s) = s - 1. Determine -2*a(i) - h(i).\nAnswer: -4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*u - 0*i + 3*i, 2*u = -2*i - 4. Suppose -a + 4*s + 7 = 0, 0 = u*a + 4*s - 3 + 1. What is the derivative of 0 - 2 + 0 - a*l wrt l?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30, -64, -150, -312, -574, -960, -1494, -2200?\n\"Answer: -4*g**3 - 2*g**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13477553, 26955101, 40432647, 53910191?\n\"Answer: -c**2 + 13477551*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.119 - 82.881. Let w = 1121173.4565 - 1121256.45650041. Let c = n - w. What is c rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2689.\nAnswer: 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34220 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 5. Let s be c(-7). Suppose 2*o + 0*o = -s. Let a(j) = 77*j**2. Is a(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 0 + 2*a + 0 + 4*a. Does 14 divide t(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-7)*u**(-12\/7)*(u*u**(-4\/3))**(-45) assuming u is positive.\nAnswer: u**(51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 + 0.3. What is the nearest to -1 in 0.4, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 640015?\nAnswer: 5, 19, 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -126 - 4?\nAnswer: -12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4843, 7624, 10405, 13186?\n\"Answer: 2781*f + 2062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 3*h**2 + 4*h - 4. Let x be (-6)\/42 + (-15)\/(-7). Suppose 3*g - 8*g + 3 = x*l, -12 = -4*l - 4*g. Does 10 divide k(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -23717?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 997764*j**3 + 229712.\nAnswer: 2993292*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1399 divided by -402\nAnswer: -1399\/402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40928786 = -7*z - 5331645. Let d = 408633 + z. What is d rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 552239*a**3 - 276116*a**3 - 276126*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**2 + 804*w - 80802 = 0?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -14, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20713 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 717 or 718?\nAnswer: 717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - q + 0*q = 11, 5*r + 2*q = 23 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -593 - -418. Is (39*12\/(-45))\/(10\/l) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 b when three letters picked without replacement from vvqvbbpbqvvbq.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 399.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 99.7243 millilitres?\nAnswer: 0.0997243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h. Let a(m) = -2*m. What is 6*a(x) - 7*o(x)?\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -490*w + 482*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 295905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3292\/10)\/(2 + 44\/(-20)). Let l = -165 - q. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/106 and 11\/265.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*r**2 + 5*r**2 + 24*r**2 in the form w + i*r + g*r**2 and give g.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 + 50. Suppose 2*s + j = 12, -p*s - s + 16 = -j. What is the first derivative of -14*d**4 + 2*d**4 + d**s - 4 wrt d?\nAnswer: -44*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*x + 119 + 66 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*n**2 + 141941*n**3 - 141946*n**3 + 123*n**2 to o + x*n**2 + s*n**3 + a*n and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-100)\/30)\/((-4)\/6))\/1. Solve -w = -z - 1, -n = -2*w - w + 5*z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**3\/8 + 6985635*z**2\/2 + 16266365451075*z\/2 = 0?\nAnswer: -4657090, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.0088 times 0.4293\nAnswer: -0.00377784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 3855.9167\nAnswer: 7711.8334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.02, -4, -0.06, 0.4, -4.3 in descending order.\nAnswer: 5, 0.4, 0.02, -0.06, -4, -4.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 16.55?\nAnswer: -12.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/99 in 1.5, -4, -1028, 2?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -q - 4, -4*q - 2*t + 3 = -11. Let f = 29 + -28. Sort 3, f, q in decreasing order.\nAnswer: q, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1380687\/13 + -23828915\/234. Let i = u - 4371. Calculate the common denominator of 16\/33 and i.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 1\/6*r**3 + 1\/2*r**2 - 3*r + 0. Differentiate a(h) with respect to h.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1 (c) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 469099941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222019.\nAnswer: 7, 23, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -1 (c) -32 (d) -132 (e) 294\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 584 by -337428.\nAnswer: -146\/84357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5211\/(-648))\/(3\/4*-1). Let g = b + -2\/9. Determine o so that -2 - g*o**2 - o**3 + 7\/2*o**4 + 10*o = 0.\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3531 and 143187?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*k - 461*k + 228*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a057c - -159?\nAnswer: a0708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5155109776 - -4.\nAnswer: -5155109772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -25*x - 11. Suppose 0 = 2*j - 4*c + 8, -6*j + j + 4*c - 2 = 0. Let p(q) = 5*q + 2. Give j*o(v) + 11*p(v).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4.09622 hours?\nAnswer: 14746392000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r = 0. Suppose -2*k + 1 = -i, r*k = 5*k + 3*i - 19. Calculate the least common multiple of 18 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 289*l - 806. Calculate c(3).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 + 68)*-1*-1*7. Suppose 16*u - 357 = w. Suppose 18*v - 4*v - u = 0. Solve v*a - 12 = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 2, 3, -3 in ascending order.\nAnswer: -3, 1\/4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5 - 27 = 0. Let l = 6 - -2. What is the remainder when k is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 1\/2*u**2 + 1\/3*u**3 + 0 - 3*u + 2\/3*u**4. Suppose -24 = 3*q + q - 5*h, 0 = 5*q + 5*h - 15. Determine o(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 524*m - 62358. Give x(119).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 34*h - 16. Let r(q) = -17*q + 8. Let d(w) = -5*r(w) - 2*v(w). Find the first derivative of d(m) wrt m.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**5\/6 + 595*a**4\/6 - 184289*a**3\/6 + 3362179*a**2\/2 + 35729568*a - 37380042 = 0.\nAnswer: -831, -17, 1, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -44. Solve -12 = -0*y - o*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83000947 is divided by 3510.\nAnswer: 3487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38884720 is divided by 158713?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1 + (-2 - 3 + 7)*(5 - 5 - 2) - 2 - 1 + 2 - 5 + 3 + 0)*(131 + 77 - 276)*(-2*k**3 - 2*k + 2*k)*(2 - 1 + 1).\nAnswer: -2176*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5 + 195*w - 293*w - 744*w.\nAnswer: -842*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (216\/33)\/((-4710)\/69080).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*v + 14 = -38, -3*t + v + 49 = 0. Let n be (4\/24*-27)\/(3\/(-26)). Let c = n - t. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.579*-618.\nAnswer: -3447.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6920*d + 550521 - 135321 = 0 for d.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 3*y - 66 + 55, 4*l + 2*y + 8 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**2 - 3*r**2 - 4070*r**3.\nAnswer: -4070*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36756*w = -36284*w - 4849 + 29393 for w.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*c**2 + 40 + 18*c**2 + 57*c**2 + 37*c**2.\nAnswer: 146*c**2 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**8\/840 - 2*p**7\/525 + p**6\/900 + p**5\/150 + p**3\/6 - 3*p**2. Let s(z) be the first derivative of j(z). Factor s(f).\nAnswer: 2*f*(f - 1)**2*(5*f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 26*(-3)\/24*(1 - (9 + -12)). Let l(o) = 10*o**2 + 8*o + 7. Let i(y) = 20*y**2 + 17*y + 15. Give p*l(t) + 6*i(t).\nAnswer: -10*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 2*g + 56, 0 = 4*r - 7*r + 5*g - 90. Let t be ((40\/r)\/(-4))\/(7\/(-55)). Is t <= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 5*t**4\/3 - t**3\/2 - 4*t**2. Is c(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59 - -34. Let y = c + 23. Put -5, y, 1 in ascending order.\nAnswer: -5, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*(2*((sqrt(245) + -1*sqrt(245))*-3 + 4) + (2*sqrt(245) + 3)*2 + 1)**2.\nAnswer: -49740 - 10080*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-35)\/(-56)*4*788\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -310*m**7\/7 - 11*m**3\/3 + 16*m + 701. Find the third derivative of j(n) wrt n.\nAnswer: -37200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 541076?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (((-862410)\/1275)\/89)\/(1\/5)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.37308 to 2 decimal places.\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*l**2 - 12*l**2 + 58144*l - 58144*l - 12*l**2 - 8*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 31 = 84*m - 89*m, m = 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -234, -965, -2188, -3903?\nAnswer: -6110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y - 25 = -345 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32156 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10a49 (base 11) in base 9?\nAnswer: -23731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101001 + 1220222110?\nAnswer: 2000100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p + 31*p + 30 = 0. Factor p*v**2 - 152*v**4 + 5*v**3 + 137*v**4 - v**5 - 10*v + 6*v**5.\nAnswer: 5*v*(v - 2)*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 10*q**3 - 4*q**2 - 4*q - 2. Let t(h) = 4 + 9*h**2 + 9*h + 0 + 970*h**3 - 991*h**3. Give 9*n(b) + 4*t(b).\nAnswer: 6*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/29 - (-1)\/(-3)*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1764 + 1783.15. What is n rounded to 0 dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 366\/(-120))*(-10)\/(-4)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 48104, 5, 18, -37, 3 in decreasing order.\nAnswer: 48104, 18, 5, 3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/10 - 1)\/((-193)\/965)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2573 + 854 - 2*u + 879 + 860.\nAnswer: -2*u + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 50958, 101915, 152872, 203829, 254786?\n\"Answer: 50957*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 224\/11 + -694\/33. Let k = -0.4 + 3.4. What is the second biggest value in k, o, 0.5, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508889 is divided by 134.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Suppose 4*w + 3*c = 5*c + 10, -c = l*w - 7. Is 11 a factor of 174\/8 - w\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2096684 + 424430 = -9*b. Let l = 730459\/4 - b. Let y = 3213 + l. Find the common denominator of -31\/2 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143716.\nAnswer: 2, 19, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence is when two letters picked without replacement from isiinviinnivgs.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*x**3 + 5*x + 11 - 2 - 7 + 0 to the form y*x + b*x**2 + k + j*x**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1662 - 1659. Which is the smallest value? (a) -24\/11 (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-7\/6)))**(-38) assuming l is positive.\nAnswer: l**(-133\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 8. Let q be x(-4). Let o be 0 + -4*2\/(-28). Let w = 3885 + -23309\/6. Which is the fourth biggest value? (a) o (b) q (c) w (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(40)\/sqrt(2)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1542 + 327 - 16*z - 1552 + 0*z.\nAnswer: -16*z - 2767","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (-44)\/23 - (-4120725)\/(-805). What is p rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 5*l**2 + l + 1. Let t be n(5). Let i(z) = -3*z**3 - 7 + 8*z - 7*z**2 + 4*z**3 + 0*z. What is i(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.025 - 20990036.\nAnswer: -20990036.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55805\/26 - 2146. Let r = p + -133\/234. Let s = -4 - -8. What is the second biggest value in r, s, -2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21316, 21357, 21396, 21433?\n\"Answer: -y**2 + 44*y + 21273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3306 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from oowooiiwowi.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 120604084 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 28*z**2 - 27*z - 7. Let s be f(-27). What are the prime factors of -1 + s\/(7\/(-342))?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*((b*b**(-4\/3)*b*b*b)\/b*b)\/b)**(8\/11))**(-12\/11))**22)**(-5\/6) assuming b is positive.\nAnswer: b**(1280\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 5) + -2 - (35 - (-28 + 58))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 6425*k**2 - 13130000*k + 8281000000.\nAnswer: -(k - 2600)**2*(k - 1225)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*a - 177. Let z = -34 + a. Put -5, 2, -2, z in descending order.\nAnswer: 2, z, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aab when three letters picked without replacement from {a: 2, b: 7, s: 4, p: 1}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1155690 divided by -231138\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 3 = 0, -5*w + 5*s = -5 + 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0 = -4*x + 42, 0 = -4*x - 5*u + 30. Suppose 0 = 4*k + 2 - x. Let j be (1 - -1) + 7\/(-5). Which is smaller: j or k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 3:28 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 625*d**5\/4 - 621*d**4\/4 - 1876*d**3 + 4363*d**2 - 2472*d - 16 = 0. Calculate d.\nAnswer: -4, -4\/625, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 121065693 a multiple of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-12)\/30*(-80)\/72.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 468485 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 9. Let t be h(-3). Factor -1\/2*u + 1\/4*u**2 + t.\nAnswer: u*(u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*b = 22*b. Suppose 3*n + 764 = 4*u - 38, b = 2*u - 2*n - 402. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 297564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7216*g - 2*g**2 + 7216*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 3, -0.1, 1\/956 in increasing order.\nAnswer: -0.4, -0.1, 1\/956, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 588108.9g?\nAnswer: 588.1089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -4. Let t be 0 + (-1)\/2*d. Which is bigger: -1\/4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 9*q**2 + q - 2. Let l be o(9). Let z(c) = 0 - l*c + c - 6. Let a(i) = -4*i - 4. Let u(j) = 8*a(j) - 5*z(j). Give u(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/((-1)\/(-1 + -317)). Suppose -4*s + 0*s = -o. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t**2 + 3*t + 2. Let v be p(-1). Suppose -42 = v*y - 10*y. Suppose 0 = -7*m + 10*m - y. Solve -m*a + 5*w + 10 = a, -3*a = -w - 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -9*m - 2. What is q(4)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.8877674g?\nAnswer: 887767.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78870*r + 105 - 78880*r - 105.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -125 - -76. Let q(v) = v**3 + 2*v**2 - v - 37. Let c be q(0). Let j = c - z. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -506, -496, -484, -470, -454, -436?\n\"Answer: j**2 + 7*j - 514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 7*q**2 - 9*q + 9. List the prime factors of x(5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n - 21989 = -1472. Does 187 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/80 and -131\/12?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 13) to base 2\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**5)**(-12) assuming z is positive.\nAnswer: z**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 142, 270, 398, 526, 654?\n\"Answer: 128*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - z = 4, 3*s - s - z = 8. Let y be s\/(-3 + 1)*-2. Suppose -y*d - d = -2225. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13 and 5410661311599.\nAnswer: 5410661311586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/11, -0.4, -4.1842?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 78 = -73*z, 0 = -u - 4*z + z + 6*z - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - -1. Find the common denominator of (29\/(-5))\/((-2)\/(-3)) and (r\/24)\/((-7)\/9).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 5, -24, -5 in increasing order.\nAnswer: -24, -9, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1286\/7 or 4942?\nAnswer: 4942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1136, 2278, 3420, 4562, 5704, 6846?\n\"Answer: 1142*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (21\/6)\/((-10)\/(-320)*8) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -n - 7, 63 = 7*n + 4*x + 62 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*j - 266 = 148 - 70 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppyxyyppypxppyp. What is prob of picking 2 p and 1 y?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvhv when four letters picked without replacement from hvhhvvhh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 5*q + 22, -3*q = w + 29 - 41. Let n(g) = g - 26. Determine n(w).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9220 is divided by 123?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*v. Let a = -27 + 49. Let u = -18 + a. Sort 2, v, u in ascending order.\nAnswer: v, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = m + 5*o, -4*m + 26 = 2*o + o. Let y = 9 - 3. Suppose 2*k + 2*n = -3*k + y, -6 = -2*n. Solve -m*h = -3*b + 11, -5*h + k - 8 = -4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11673367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -92495, -92499, -92503, -92507, -92511?\n\"Answer: -4*b - 92491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29561 = 702*u - 40639 for u.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 432 and 189?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 11 = 1139*d - 1135*d, 4*u - 3*d + 82 = 0 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 330 divided by -6\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**5\/25 + 9*v**4\/20 + v**3\/15 - 9*v**2\/10 + 9760. Factor m(t).\nAnswer: -t*(t - 9)*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 34 (b) -1 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 1. Let j(b) = 939*b**2 + 2. Determine j(t) + 2*x(t).\nAnswer: 941*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.03, -1, 151 in increasing order.\nAnswer: -1, -0.03, 6, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**2 - 55*w + 90 = 0.\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55 * 18456.\nAnswer: -1015080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k**4 - 2*k**3 - 470*k - 2139?\nAnswer: 8*k**3 - 6*k**2 - 470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3665151179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*sqrt(52) + 2.\nAnswer: -8*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - 10*j**3 + 15 + 3*j + 9*j**3 as r*j + t*j**3 + w*j**2 + u and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-520)\/39*-30*10*1619. What is z rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -769.6 or 0?\nAnswer: -769.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-10) + (-495)\/(-1300). Suppose 3*o + 5*a + 32 = 0, 0*a = a - 2. Let i be (-4)\/o - ((-388)\/(-84) + -4). Sort 0, i, s in decreasing order.\nAnswer: 0, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, 6\/5, 5, -19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 1498\/(-21) + 1\/3. Let i = 77 + k. Factor -140 + 140 - i*o + o**2.\nAnswer: o*(o - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4229 divided by -1\nAnswer: 4229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5))\/((-57)\/342)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 + 3 + 15*v**2 - v + 59*v**2)*(-6*v**3 + 3*v**3 + v**3).\nAnswer: -138*v**5 + 2*v**4 - 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 7:40 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/8 (b) 2\/7 (c) -2 (d) -2\/9 (e) -2\/11 (f) -64\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 267*i**5 + 63*i**4 + 2*i**3 + 2955639*i - 1 wrt i?\nAnswer: 5340*i**3 + 756*i**2 + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i*i**(-10)))\/i)\/i*i**(2\/9))**(1\/2)\/((i\/(i\/i**(-1\/2)*i*i))**(-1\/6))**(-2\/41) assuming i is positive.\nAnswer: i**(1709\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-10))\/((-2)\/(-5)). Let z be b*(16\/3)\/4. List the prime factors of 16\/z - (3 + -93).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4955 != -5007?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m - 12*m - 6*m + 23*m - 2*m. Let z(k) = k + 4. Give -4*q(x) - z(x).\nAnswer: 3*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*t - 576 = -147 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -64301 (base 7) to base 8\nAnswer: -37066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 129, 145, 175, 225?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4173 - -8467. Is 113 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 at most as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376*z - 64*z = 174909072. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1256496*g**4 + 3142008*g**3 + 1336947*g**2 + 157878*g + 96 = 0.\nAnswer: -2, -1\/4, -16\/26177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - (0 + 0))*-1. Let q be (2 + c)*74003\/3. Suppose -3*x - 5*f - 111015 = 0, -f = -2*x - 2*f - q. Round x to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1341 - 1339. Sort 45, v, -2, -1 in descending order.\nAnswer: 45, v, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 1 = 2*i. Let x = 12277 + -36827\/3. What is the closest to i in x, -6, -0.2, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306999 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15177.999794105 - 15178. Round o to six decimal places.\nAnswer: -0.000206","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3562432428.\nAnswer: 2, 3, 1579, 188011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2077325 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7304, -16991, -29054, -43493, -60308, -79499?\n\"Answer: -1188*k**2 - 6123*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**6\/225 - q**5\/75 - q**4\/90 + 2*q**3\/45 + 25*q. Factor r(y).\nAnswer: 2*y*(y - 2)*(y - 1)*(y + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(8\/9)*i)\/i)\/i**(2\/61))**30)**(-2\/15) assuming i is positive.\nAnswer: i**(-172\/549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 175 divided by 25\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 4*u**2 - 4. Let y = -2 - -6. Suppose -y*s + 2*s - 6 = 0. Let p be q(s). Solve p = -l + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - v = p - 2, 3*v + 5 = 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 18. What is the units digit of 378 + (5 + -4)*p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(245) - (sqrt(245)*2 + 0) - (sqrt(245) + (sqrt(245)*1 - sqrt(245)) + -1)) + 3 + (-3 + sqrt(245) + 2)**2)*-5.\nAnswer: -1235 + 140*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-1)\/(((-2)\/1)\/2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -0.1, -103732?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 12:11 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 78\nAnswer: -5\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 9*g - 10.\nAnswer: (g - 10)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 12:53 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 1:32 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten ninths of a week?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 + 4.93. Let k = -1.833 + -0.167. What is the biggest value in y, k, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmwmmmmmmmmmmmwwmmm. What is prob of picking 3 m?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 0.2, -7, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -156 or -1\/3?\nAnswer: -156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 4*f**2 + 2*f - 1. Let q be d(-3). Let i = 0 - q. What is the units digit of (-6)\/(-4) - i\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q**4\/3 + 6124*q**3\/3 + 352978*q**2\/3 - 900592*q\/3 + 113288 = 0. Calculate q.\nAnswer: -119, 6\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9812\/(-736))\/(-11) + 30\/(-345).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: d345 (base 16) to base 2\nAnswer: 1101001101000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j - 21*j = 18*j + 12*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 0.0974013?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 280*p = 284*p - 42827, -4*w + 4*p + 57140 = 0. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + k = 5*k - 5616. Calculate the greatest common divisor of 256 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/12 - -5\/12. Let h = 3355\/6 + -559. Let h*p**2 + 1\/6*p - g = 0. What is p?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25921 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**4\/12 - 4*i**3 + 72*i**2 - 35*i. Factor u(h).\nAnswer: (h - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2641*r + 60810. Give c(23).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 7 - 3. Suppose -2*i - 2*q + 19 = -i, 47 = a*i - 2*q. Let m(z) = 11*z**3 - z + 2. Let g be m(2). What is the greatest common factor of g and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 6*f**2 + 7. Let s(z) be the first derivative of 2*z**3\/3 + z**2 + 2*z - 1. Let v be s(-2). What is the units digit of u(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**4\/7 - 36*s**3\/7 - 100*s**2\/7 - 6155. Suppose w(l) = 0. What is l?\nAnswer: -25, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.238 + 0.248. Let t = -0.03 - -0.04. Let l = v - t. Which is the nearest to 2\/5? (a) -0.1 (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1282 + -155?\nAnswer: 1127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2264514 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2. Let b(g) = -53*g**2 - 15*g + 25. Let l(i) = 27*i**2 + 6*i - 12. Let k(m) = -2*b(m) - 5*l(m). Give u(k(d)).\nAnswer: 841*d**4 - 580*d**2 + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3153028160?\nAnswer: 2, 5, 2459, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7\/5)*l**30\/l)\/(l**23*l)**(-46) assuming l is positive.\nAnswer: l**(5658\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29\/68 - -189\/85. What is the common denominator of f and 119\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjjjjjjjjjtjjjj.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 10 - 5 - -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(820\/412 - 2). Suppose c = 4*m + 4*a, 5*m + 0*a = -3*a + 1028. Suppose 3*p + m = 8*p. What is the remainder when p is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4)*0*(-9)\/(-9). Is h equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -22*l**3 + 14*l**2 + 10*l. Let u(h) = h**3 - h**2 - h. Let b(p) = a(p) + 2*u(p). Suppose b(g) = 0. What is g?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = o - 0*s - 737, 0 = -2*s - 4. Let l be 42953\/((-7 - -2)\/o). Let w be (-24)\/(l\/1600000 + 2 + 2). Round w to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -0.4. Which is the closest to -11? (a) l (b) 0 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p = 163*p - 8 - 143 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**0*y**(-6\/7))\/(y**(-4)\/y**(-2)))**46 assuming y is positive.\nAnswer: y**(690\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = k - 3719, 2*k = 5*o + 2026 - 6665. Let l = o + 356. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17289816, 34579618, 51869420, 69159222?\n\"Answer: 17289802*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 108\/19?\nAnswer: 108\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85303\/13780 + -334\/53. Find the common denominator of -121\/130 and d.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 10*m + 8. Suppose 0 = -m*a + v + 22, 2*v = 2*a + 7*v - 26. What is the smallest common multiple of a and 38?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 403 and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 1755.\nAnswer: 1757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 15*k - 2. Let i(t) = -188*t - 17. Determine -i(v) + 6*p(v).\nAnswer: 278*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -231 + -18. Let h be (-4)\/(20\/(-15)) - (-398 - 13). Let t = d + h. What are the prime factors of t?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -586 + 9394.\nAnswer: 8808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxuxxuxxxxxuxxu. What is prob of sequence uu?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 26\/3 (b) 0.08 (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21 or 1?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1665 = 1659. Calculate the remainder when (-2 - -1)\/(1\/(-7)) is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4980*m**5 + 4804*m.\nAnswer: 99600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31953 + 31949. What is the fourth smallest value in -0.3, -2\/7, 1\/3, -5, g?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462489.\nAnswer: 3, 31, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 1\/9, 2\/39, 1\/12, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58583.04 decades in millennia?\nAnswer: 585.8304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + sqrt(2))*-6.\nAnswer: -24*sqrt(2) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -3. Suppose 0*c + c - 46 = w. Let a(m) = 2*m. Calculate the remainder when c is divided by a(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-7) + 39\/7. Let s = z + -4. Suppose 0 = -5*c + 26 - s. Solve c*i = 4*i - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 22*i**2 + 28314*i - 28311. What is g(1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41727, 85714, 129697, 173676, 217651, 261622?\nAnswer: 305589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -143990.3561 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*v*x**5 + 11*v*x - 2*v - 584*x**2 - 1326*x + 1 wrt x.\nAnswer: -380*v*x**3 - 1168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-2) + 3 + 8. Let t be (4\/h)\/((-1)\/(-6)). Suppose -2*d = 3*d - 15. Solve 5*b = -d*l - t - 0, 2*b + l = -1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 * 0.019\nAnswer: 0.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.9447 - -0.0553. Is 0.023 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/9 - 116*d\/9 - 1682\/9.\nAnswer: -2*(d + 29)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to 670?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 y when three letters picked without replacement from {r: 8, v: 5, u: 1, y: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1021 (base 11) to base 13\nAnswer: -802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 95409.5ng?\nAnswer: 0.0000954095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*t - 63, l = 3*t - 8*t - 177. Which is smaller: -35 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18 (b) 2\/37 (c) 1\/9 (d) -1 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**3\/3 - 10. Let g(s) = -73*s**2 + 30*s**2 - 5 + 0 + 20*s**2. Give g(m(z)).\nAnswer: -23*z**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1869, -3732, -5583, -7416, -9225?\n\"Answer: n**3 - 1870*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -90 and 0.2761?\nAnswer: 90.2761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1655*i**2 + 1644*i**2 + 1660*i**2 - 8271*i**2 + 1659*i**2 + 13*i + 1650*i**2.\nAnswer: -3*i**2 + 13*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 812697632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/10820 or 0?\nAnswer: -1\/10820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 100110011 (base 2) to base 15\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 120190783?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -60. What is the remainder when 80 is divided by x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -854165 divided by -6\nAnswer: 854165\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12360.\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 485345 divided by -7\nAnswer: -69335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-16)\/(-20) + (-636)\/(-330) and 32\/45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*z - 270 + 42. Sort -1, z, -12 in increasing order.\nAnswer: -12, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*d + 13*d = 36*d - 1350 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4*v**4 - 4*v**3 - 136*v**2 + 256*v + 384 = 0.\nAnswer: -6, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 - -7.695?\nAnswer: -49.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -4*i + 100 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 12*b**2 + 21*b + 18. Give o(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 793?\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.10600742 + -2.2460092. Let d = o + 1.14. Round d to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + n. Let l(h) be the third derivative of -2*h**5\/15 + h**4\/12 - 232*h**2. Give l(f) + 6*w(f).\nAnswer: -2*f**2 + 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u = 1982 - 1958 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 57*z**2\/2 - 168*z + 177. Let t be d(3). Solve -k + 9 = -5*q, -t*q - 2*q + 15 = 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + (-7 - -7) - 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15928120*z + 10325441 wrt z.\nAnswer: 15928120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 5645510?\nAnswer: -5645514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14669.988 months to years.\nAnswer: 1222.499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 573 - 568 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.46 + 0.04. Let z = 0.05 - 0.45. Let x = 1154 + -1153. Which is the biggest value? (a) z (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -171.7402 to one decimal place.\nAnswer: -171.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16670226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**2 - 40*r + 31. Is o(-14) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 + 136. Let s = 36 + j. What is the greatest common divisor of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 296 and 11248?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35798 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512560.\nAnswer: 2, 5, 43, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.4 - 0.7. Let r = 28 + -29. Which is the nearest to -2? (a) r (b) 1\/4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 310 by -8.\nAnswer: -155\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*l**3 + 4*l - 2*l - 2*l - 152*l**3.\nAnswer: 48*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**8\/560 + r**7\/240 - r**5\/240 + 2*r**3\/3 - 6*r**2. Let k(t) be the first derivative of q(t). Suppose k(y) = 0. What is y?\nAnswer: -1, -1\/2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 323.27 + 5.73. Let z = b + -315. Let h = 8 + -6. What is the smallest value in z, -2\/9, h?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.09, 2\/7.\nAnswer: 0.09, 0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/2686 and -95\/206.\nAnswer: 276658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 99204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 539 and 392?\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntvp when four letters picked without replacement from {n: 1, w: 4, p: 3, r: 2, t: 2, v: 2}?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 1. Let v(a) = -12*a + 2. Let k(s) = 3*l(s) - v(s). Determine k(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3 + 23*x**2 + 53*x - 75 = 0 for x.\nAnswer: -3, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 8*d - 29 = 3*d, -3*a + 2*a = -5*d + 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 15 = -4*u. Suppose -3*g - 7 = -5*w - 20, 2*g + 3*w = u. What is the remainder when 14*(-1)\/(1\/(-2)) is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -0.6 (b) 1\/4 (c) -16549\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/9 and -73\/4726323?\nAnswer: 4726323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 313474898*m*z - 352131630*m wrt z?\nAnswer: 313474898*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g - g + g**3 + 4*g - 3*g**2 - g**2. What is the lowest common multiple of h(3) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqq. Give prob of picking 3 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 720*b = 1895*b + 13328 + 44247 for b.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a99 + -69d?\nAnswer: 3da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/22110 and -47\/13266.\nAnswer: 66330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -116 - -4*3\/(-6)*-2. Is 5 a factor of d\/(-6) - (-41)\/123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -17*o + 14. Let m = -1214 + 1206. Let q(c) = 6*c - 5. What is m*q(x) - 3*y(x)?\nAnswer: 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2937*d**2*s**2 + 3*d**2 + 2*d*s + 2463*s**2 + 3 wrt d.\nAnswer: -5874*d*s**2 + 6*d + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/7))**(-1\/3)*i**(-1\/4)*i**(-6))**48 assuming i is positive.\nAnswer: i**(-2132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/11)\/(890\/979)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27\/25 or 1?\nAnswer: 27\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -60, -67, -80, -99, -124, -155, -192?\n\"Answer: -3*z**2 + 2*z - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-8))\/((-21)\/14)*117\/((-2691)\/3910)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 + 4*n + 45 - n - 134.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 2)\/((-9)\/(-3)). Solve -3*q - 2*q + 10 = f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 - 648*l**2 + 6630*l - 16700.\nAnswer: -2*(l - 5)**2*(l + 334)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -8*b**7\/21 + 73*b**4\/2 - 89*b. Find the third derivative of p(x) wrt x.\nAnswer: -960*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 6, 14, 22, 30, 38?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**0)**(-8))**(-1\/15) assuming v is positive.\nAnswer: v**(16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 6*n + 6. Let r be q(5). Suppose -r = 8*f - 9. Sort 2\/11, 3\/7, f in increasing order.\nAnswer: 2\/11, 3\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1603229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 1:04 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 671 - 814. Let w = -103 - l. What is the remainder when 238 is divided by w?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*i - 11*i = 1177 + 71 for i.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*i - 10 = 0. Let y be (-40)\/(-70)*(-7)\/i. Suppose -3*l - 2*l + g = -18, l + y*g - 8 = 0. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -129*l - 7719. Give a(-60).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1 (b) -0.1459 (c) -3 (d) 0.162 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -69*69\/(-157113)*957?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsbsbs. Give prob of sequence bs.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 - 46. Calculate the remainder when -33*3\/l*-2 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*g = -490, 5*r + g - 294 - 501 = 0. Let y be ((-902)\/5)\/((r\/75)\/(-8)). Let l = y - 634. Find the common denominator of l and -49\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 + 16. Is n greater than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 + -262773?\nAnswer: -263012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 3*l - 20. Suppose -9*x + l = 22. Solve 5*h - 10 = 10, b + 5*h - 25 = x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1902.\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, y: 7, g: 3}. What is prob of picking 2 y?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 8, -33.\nAnswer: -33, 8, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -253, -492, -715, -916, -1089, -1228?\n\"Answer: d**3 + 2*d**2 - 252*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w + 3*w - 4*w - 9465*w**3 + 9625*w**3.\nAnswer: 160*w**3 + 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-3)*(-15)\/(-10). Suppose -j*g + 10*g + 0*g = 0. Solve g = -q - 3*q + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6\/7))**(-1)*b**(-18)*b*b\/((b*b**(1\/8))\/b) assuming b is positive.\nAnswer: b**(-855\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*s - 4. Let y be 8\/(-690)*909\/252. Let t = y - 4\/161. Which is smaller: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 5035.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14630734*k**2 + 17256902 wrt k.\nAnswer: -29261468*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 784 and 78974000.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2)\/(27\/99468*-1*1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04667 times -1006?\nAnswer: -46.95002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.5003 + -26.4984. Let j = b - -14. What is j rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -8*r - 4*r + 12*r**2 - 7*r + 18 + 7*r - r**3. Let l be m(11). Is l greater than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9 - (5 - 10) - -95. Calculate the greatest common divisor of n and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 0*d - 3*d - 14, x - 3*d + 2 = 0. Let q = -2 - -1. Let a = 3 + q. Solve x = -2*v - a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 4*t - 5*m - 23 = 0, 0 = -5*t - 4*m + 8. Suppose -5*a - 31*g + 124 = -30*g, 2*a - 56 = -2*g. Solve -t*y = c + a, c - 3 + 7 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d (base 14) in base 10?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 1:54 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 + (-2 - (-6 - 6)) + -2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 8509788400 to the nearest 1000000.\nAnswer: 8510000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -412, 7, 10, -5, 1, -1, 3 in descending order.\nAnswer: 10, 7, 3, 1, -1, -5, -412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 6:54 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5*z + 0*z = 235, 0 = -4*z + 8. Suppose 6*t - r = -9*t. Let g(f) = -19*f - 3 + t + 21*f. Let b(l) = 10*l**2. Calculate b(g(q)).\nAnswer: 40*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.8424316 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c + 31297 = 31240 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-6)\/7)*3. Let o be 3\/(-9)*(3*-2 + 0). Put -4, o, h in descending order.\nAnswer: h, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p. Let n(t) = -31*t**2 - 2*t. Give 4*a(q) + 2*n(q).\nAnswer: -62*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.107017 centuries in months?\nAnswer: 7328.4204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((((u*u**(-8))\/u)\/u)\/u*u))\/(u**(5\/4)\/u) assuming u is positive.\nAnswer: u**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1200604?\nAnswer: 2, 300151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-348)\/72 + 3)*(7 + (-553)\/77). Suppose -4*h + 8*h - 404 = 0. Let r = 503\/5 - h. What is the closest to f in -2, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 174 + -177. What is the nearest to 1\/4 in 0.3, h, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.28? (a) 9 (b) -0.48 (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 4*a**2 + 4*a + 6. Calculate n(6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85 + 84. Let i(t) = 9*t**2 + t + 1. What is i(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 672*d**5 - 1577*d**2 wrt d?\nAnswer: 40320*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1449956953 to the power of 1\/2, to the nearest integer?\nAnswer: 38078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 56 = -n, -r - 4*n = 2*r - 62. Suppose -y = -3*q + 149 + 272, 4*q = -y + 559. Calculate the remainder when r is divided by 90\/14 + 80\/q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b - b**2 + 4 + 0*b**2 + 2*b. Let x = -16154 + 16158. Give f(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 2. Suppose -3*q = w*q - 200. Suppose -5*a - 5*p = -q, -5*p = -9*a + 6*a + 16. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v - 8. Let h be r(6). Let z = 1 + 0. Let o(c) = 80*c. Let q be o(z). What is the greatest common divisor of q and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101014 (base 5) to base 16.\nAnswer: cbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 12, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {z: 4, b: 1, e: 5, u: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) 4 (c) -1616 (d) 0 (e) 1 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/9 - 77412*t**2 - 696710*t\/9.\nAnswer: 2*t*(t - 348355)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/((-3)\/(-2)))\/(12\/(-162)). Is 26 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 91c7c9?\nAnswer: 91c7cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6411 - 6346.87. Let p = o + -67.4. Let g = -0.33 + p. Round g to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 4*a - 1. Let r be f(-5). Suppose -w - 13 = -t, -w - 17 = -t + r*w. Calculate the lowest common multiple of 4 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*h - 36 = 0, 17*h = 4*q + 13*h - 64. Solve -19*w = -q*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + ((5 - 4) + 1 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 8*w + 236 = 0, 5*a = 935*w - 930*w - 210 for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23178566?\nAnswer: 2, 281, 41243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -121*h. Let p(x) = -513*x. What is p(n(d))?\nAnswer: 62073*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 145.6 + -146. What is the nearest to s in -5, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*p - 162 + 157 + 4*p**2 + 4*p**2.\nAnswer: 8*p**2 - 34*p - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16 - -15)\/((-2)\/6)*-611. Let l = 3232 + p. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 10:38 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.4, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 15 = 0, 6*b = 2*b + a + 3. Let g(r) = -r + 19. Calculate g(b).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001000000110100010000 (base 2) in base 3?\nAnswer: 121021200012002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 119 - (161 - (39 + -133))\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -41*s**2 - 61*s. What is a(-2)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2624*s**2 + 87*s + 1082. Is h(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 595138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*n. Suppose n*f + 37 = 3*f + 4*g, 3*f = -5*g + 41. Suppose 28 + f = 5*j. Solve -p - 4*a = -21, -30 = -2*p - j*a + 2*a for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1210 by 110.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 862607*v**3 - 2*v**2 + 1427054*v + 1?\nAnswer: 5175642*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 3 + 3)*(-2*u**3 + 2*u**3 - 4*u**3) - u**4 - 9*u**4 + 45*u**4.\nAnswer: 31*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8037.\nAnswer: 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 5*d + 10. What is the highest common divisor of 80 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 times 66\nAnswer: -2244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, j: 2, r: 1, z: 1, b: 1, c: 2}. Give prob of sequence bch.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 + 28*z - 145. Calculate b(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 850 by -3.\nAnswer: -850\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 427951 is divided by 3481.\nAnswer: 3269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, t: 1, i: 7, w: 2, k: 6}. What is prob of picking 1 s and 1 k?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxvx when four letters picked without replacement from xxvxvxxx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44 + 13. Let c = 51 + s. Solve y + 3*z = -20, -2*y + 2*z - 4*z = c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1723254*-3.5\nAnswer: -6031389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4105 = 4105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 + 50 = 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-6)*18\/(-252)*-105.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t**0\/t)*t**(2\/7)*t\/(((t*t**6)\/t*t*t*t)\/t)*t**(-2) assuming t is positive.\nAnswer: t**(-47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213442.\nAnswer: 2, 106721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4162\/252795?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i**2 + 5*i + 5. Let s be 4*(-4)\/184 - (-815)\/115. Let u(z) be the second derivative of z**4\/3 + 2*z**3\/3 + 2*z**2 - z. Give s*u(p) - 6*m(p).\nAnswer: -2*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 645 = 4*j - 0*q, 2*j - 329 = -5*q. Let m = 108 - j. Let f = -54 - m. Solve z - 2*z + o + 6 = 0, f = 3*z + o - 14 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12*(-8)\/12)\/((-6)\/3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 6*f**3 - 9902*f**2 + 1121796*f - 372832 = 0.\nAnswer: 1\/3, 122, 1528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 2*m**2 + m - 2. Let p be f(-3). Suppose 3 = p*y - 3*y. Which is the smallest value? (a) 2\/5 (b) y (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3019661 to the power of 1\/2, to the nearest integer?\nAnswer: 1738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.48 or 2341988?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9 - -231647149.38147\nAnswer: 231647158.38147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/1*(-2 - -3). Let a = -5 + h. Let j be (-44)\/a - (-1)\/4. Solve 0*m + j = -m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 14, 960 in descending order.\nAnswer: 960, 14, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzhasszfl. What is prob of picking 2 s and 1 z?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -8*i**2 + 39*i + 575. Let m(r) = 17*r**2 - 77*r - 1145. Let z(g) = -13*b(g) - 6*m(g). What is the first derivative of z(t) wrt t?\nAnswer: 4*t - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 8:26 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 28868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**4\/4 - i**3\/3 - 3*i**2\/2 + 3*i + 294. What is n(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 4*w = -184 + 191, -p + 3*w = -9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 14. Suppose -21 = c + 5*l, l - 15 = 3*c + k*l. Calculate the least common multiple of 20 and c*(-12)\/10*5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuupuxpffwuppupufp. What is prob of picking 1 w and 1 f?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1184, 0, -1 in ascending order.\nAnswer: -1184, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 14*r - 9*r)*(0 + 2 - 13) + 18*r - 22*r + 59*r.\nAnswer: -33*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -12.46, 40, 0.3, 1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 44\/6 - (-3)\/(-9). Suppose 2*k = l + 9. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 9*w**2. Let p be f(-7). Let q = p - 1505. What is the units digit of 2\/11 + q\/(-77)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388391 is divided by 2577.\nAnswer: 1841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1169 = 1166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1 = 0, 2*x - 5*t = -0*x + 13. Let j be (66\/(-12))\/(2\/x). Let b = j - -20. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1395358055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 7. Suppose 2*l - 3*i = v, -3*l + i = 3*i + 10. Is (-41 - -4)*6\/l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 3*a + 22 = 8*n, -5*n - a = -72. Solve 20*d = n*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -1, -1\/6, 7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 7*n - 32 = -2*n, 4*n = 4*w - n - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -247? (a) -3\/2 (b) 1\/2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1782 - -2614. Is a a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x + 11. Let m be g(-5). Let c be (-3)\/(-2)*1*m\/3. Let b(q) = q**2 + q - 1. Let l(t) = -2*t**3 + 3*t**2 + 2*t - 4. What is c*b(f) + l(f)?\nAnswer: -2*f**3 + f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/4, 6, -2\/9, -0.1, -0.043?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61122 and 3489078?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 + -5 + 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7804 + -7799. Suppose -2*a + 1 = -3*a. Let b = -44 + 40. What is the closest to 0 in d, b, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 124949892?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 80 = -10. Let l = 6593 - 6395. What is the highest common divisor of l and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.014 + -94.986. Let d = -94.65 + 0.65. Let o = r - d. Put o, 4\/9, 1\/4, -0.4 in ascending order.\nAnswer: o, -0.4, 1\/4, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51077164 to the power of 1\/2, to the nearest integer?\nAnswer: 7147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 616\/(-16)*396\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/(-105))\/((-4)\/(-30)) - 21\/3\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15665688.\nAnswer: 2, 3, 217579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404*a + 395 = -325*a. Let u(x) = -x. Let i(j) = -4*j - 22. Calculate a*u(m) - i(m).\nAnswer: -m + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*a**3 + a**2 - 23*a**3 - 3 + 4 + 31*a - 663*a to o + q*a**2 + c*a + s*a**3 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -137*g - 593*g - 649*g in the form b*g + x and give b.\nAnswer: -1379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 4:01 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) 2\/13 (c) -10308\/463\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 12*v**2 - 9*v - 18. Determine n(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25\/6 + 7\/2. Which is the nearest to w? (a) 0 (b) 1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247115 minus 0.1?\nAnswer: -247115.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (515\/(-75) - 14\/1155*11) + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 5*a + 15, 4*z - 3*a - 19 = -0*z. Suppose -30 = -g - 4. Suppose 0 = 5*y - g - z. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 40 = -5*h, -h = -2*p - 5*h - 18. Let g(y) = y**2 + 9*y - 8. Let r be g(-10). Suppose r*s + 9*s = 0. Put s, p, 1 in descending order.\nAnswer: 1, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + -12)\/(2\/4). Let d = n - -47. Solve 4*o = -d + 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-5))\/a**(-3\/4)*a**(-2\/11)\/(a\/(a**(1\/7)*a*a)) assuming a is positive.\nAnswer: a**(2375\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-60114)\/(-10) - 5*(-21)\/(-75).\nAnswer: 2, 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(85) - 6*sqrt(85)*-1))\/(sqrt(20)\/(-3*sqrt(400))).\nAnswer: 1050*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 9*o**2 + 5*o + 7. Let q(x) be the second derivative of x**3\/6 + x**2\/2 - 9*x. Let i(u) = -c(u) + 5*q(u). What is the derivative of i(j) wrt j?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 833348 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -80*a + 1570. Does 98 divide d(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 623138 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 15.99999 days?\nAnswer: 383.99976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 378458.\nAnswer: -189229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, -0.01, 141\/37, 0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*p = 97 + 213, -4*p = 2*i - 180. Calculate the greatest common divisor of 220 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 9:15 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 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 prob of picking 1 y and 1 q when two letters picked without replacement from kfyqyzqiqyk?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 5*p**2 + 2*p - 1. Is w(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(495))\/(sqrt(121)\/(sqrt(11) + sqrt(33)\/sqrt(3))))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g. Let z be (165\/(-9))\/(2\/6). Let s(b) be the third derivative of -35*b**4\/12 + 11*b**2. What is z*r(u) + 4*s(u)?\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 394648417*k**4 + 283037*k - 743.\nAnswer: 4735781004*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*i - 9. Solve 8*h - 20 = 3*h + i*j, 5*j + 12 = 3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from zzffffzzzfzz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111000001111000101001 + 11?\nAnswer: 10111000001111000101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 10 (b) 101\/12 (c) -2\/17 (d) -108 (e) 1 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1104 - 8?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.586 to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 5)*(-1 + 3 + 0)*(1 + s - 1)*(-3 + 0 - 4).\nAnswer: 70*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 divided by -889?\nAnswer: -274\/889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - -19. Let v = -7 - n. Suppose 2*z = -z + v. Calculate the remainder when 7 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3468349549 plus -5?\nAnswer: -3468349554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.04 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96*-299.\nAnswer: -28704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -202 - -287. Let r = v + -81. Is 11 a factor of 2\/r - 2235\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.257724 to 2 decimal places.\nAnswer: -3.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 65, -7602, 4, 2, 0.\nAnswer: -7602, -1, 0, 1, 2, 4, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4094796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-53 - -55)\/(4\/14)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1788 + 19614\/11. Let o = t - -292\/55. Factor 2\/5 - 4\/5*s**3 - o*s**4 + 4\/5*s + 0*s**2.\nAnswer: -2*(s - 1)*(s + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9009, -7811, -6613, -5415, -4217?\nAnswer: -3019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(17) + sqrt(153))**2 - sqrt(17))*-5 + 0 + (-2*sqrt(1088))**2.\nAnswer: 5*sqrt(17) + 7072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/17? (a) -4 (b) -6 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21*w - 17 + 17)*(-4*w + w + 2*w) to o + g*w**2 + p*w and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1706 - 500433?\nAnswer: -502341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8*h - 64 = -3*h, -4*h + 128 = 4*p. Let d = -26 + p. Suppose 7*y + 20 = -2*w + d*y, -3*y - 12 = 4*w. Solve 0*o + 2*o + 6 = w for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 78*s**3 - 54*s**2*u - 9*s*u - 3*s + 5788*u - 5 wrt s.\nAnswer: 234*s**2 - 108*s*u - 9*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12299188049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8553 divided by 405\nAnswer: -2851\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 18 = -5*h + v, -v = h - 4. Suppose h*b - l - 30 = 2*l, -4*b + 40 = l. Solve -k + b = 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 6:34 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3848387944.\nAnswer: 2, 421, 1142633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -851\/56 + 109\/7. Let p be -2 + 6\/4 + (-1131)\/26. Let u be 4\/26 - 1\/(52\/p). Which is the third biggest value? (a) o (b) u (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29056405 divided by -200389?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 5*k + 4*k - 4 = 2*j, 23 = -8*k + 3*k + 2*k + 38 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y + 2. Let g(h) = 219*h**2 + 3285*h - 1314. Give -2628*d(f) - 4*g(f).\nAnswer: -876*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, 1\/8, -3\/7, -1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*n - 565 = -20*n + 117 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + (-4 - (-1 + 0 - (-25 + 19)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.8 + -6.8. Let w be (416\/(-36))\/4 - (-4 + 1). Suppose 2*z + 13 = -z - 4*k, -4*k + 2 = -2*z. Which is the nearest to n? (a) w (b) -2\/9 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*b + 2*b**2 - 2*b**3 - 16*b - 3)*(-39*b + 88*b + 78*b) in the form j*b**4 + m + r*b + d*b**3 + z*b**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 302999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12529 + -12528.6. What is the nearest to -0.05 in -1, 4, 3\/2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.014*-0.36.\nAnswer: 0.00504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 14*h + 1. Let p(y) = -1352*y + 1244. Let l(w) = -p(w) + 7*q(w). What is the derivative of l(t) wrt t?\nAnswer: 1450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -904? (a) 2\/15 (b) 1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 20153 + 20155 = -2*x, z = 6*x + 21 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a**2 - 946*a + 108939. Give q(-405).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, 448, 1324, 2554, 4138, 6076?\nAnswer: 8368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/2730*2\/(1\/((-5)\/(-2)))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -711 - -721. Solve y*a - 14*a = -8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - g + 102. Let i be (-522)\/(-4) + (-5)\/10. Suppose -6*z + z + 5*y = -i, -z - 3*y + g = 0. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158676568 is divided by 270?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 56566812*y + 113133612.\nAnswer: 3*(y + 2)*(y + 18855602)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*3\/18*(6 - 7).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o - 3*o + 104*o**3 - 100*o**3 + (o + 3*o + 2 - 2*o)*(-o**2 + 4*o**2 - o**2).\nAnswer: 8*o**3 + 4*o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41446, -41450, -41454?\nAnswer: -41458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*b - 66. Let v = b + -14. Suppose v = k - 2. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 969 greater than -332501?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n + n)*(8 - 12 - 8)*(3 + 0 + 2).\nAnswer: -60*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*i - 6*i - 234. Suppose -2 + i = 8*m. What is the smallest common multiple of 34 and m + 2 - 9\/(-3)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*2)**2*-3 + -2 + sqrt(13) + 0 + sqrt(13)*1*3.\nAnswer: -626 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -64661527 - 6?\nAnswer: -64661535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/5)\/(18\/(-3465)). Suppose -234*i + w*i = -348. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7091 + -2?\nAnswer: 708f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 89\/10, -47, 1, 2, 0 in decreasing order.\nAnswer: 89\/10, 2, 1, 0, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/4583 + -164998\/22915. Find the common denominator of 97\/120 and a.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -443.1 + 443. Which is the biggest value? (a) x (b) -2\/3 (c) -0.91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*o**5\/8 - 39*o**4\/2 - 63*o**3\/8 + 201*o**2\/2 + 45*o\/2 = 0. Calculate o.\nAnswer: -2, -2\/9, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 - 20*w\/3 + 6.\nAnswer: 2*(w - 9)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 10\/121?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*x - 25*x - 160 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -183, -609, -1319, -2313, -3591, -5153, -6999?\n\"Answer: -142*a**2 - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 + -40204331?\nAnswer: -40204244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 + 165*d - 860. Determine z(56).\nAnswer: 2108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6699489 + -20.3?\nAnswer: -13.6300511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 5. Does 9 divide 1\/t + 348\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 0.0168?\nAnswer: -0.00168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 989 divide 2476589762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -422, 569, 3142, 8089, 16202, 28273?\n\"Answer: 132*w**3 - w**2 + 70*w - 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -124.\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274, -1112, -2522, -4516, -7106, -10304?\nAnswer: -14122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 160 (base 13) to base 6\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 20*n**3 - 2*n**2 + 6*n - 10. Let j be x(2). What is the highest common divisor of j and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*l + 25. Let p(n) = -3*n - 4*n + l*n. Let s(w) be the third derivative of w**5\/30 + w**2. Calculate s(p(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 44319, 44327, 44341, 44361, 44387, 44419?\n\"Answer: 3*i**2 - i + 44317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -250103025 + -10?\nAnswer: -250103035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 168 - 168. Let a = 1\/63 - -19\/126. Put -1\/5, -0.5, w, a in decreasing order.\nAnswer: a, w, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*m - 2*p + 11, -2*m + 7 = -p. Suppose 8*r = 26*r - 143*r. Solve i = m*b - 23, r = 3*b - 0*i - 4*i - 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 0 - 11 - -15.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 p when three letters picked without replacement from {h: 3, p: 2, d: 2, m: 1, j: 6}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -182.6 in -33, -0.7, -5?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 40 = 338. Let p = 44 + k. Let u(w) = -39*w**2 + 79*w**p - 26*w**2. Calculate u(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2806 and 10442?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (46 - 47) + (-2 - (-8 - -2))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10786680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 12, 2*a + 5*p + 8 + 8 = 0. What is the units digit of -1*a - 114\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72817.\nAnswer: 72817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -32, -23, -14?\n\"Answer: 9*h - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 8*l**2 - l. Let i be -1 + 3 - (-15)\/5. Suppose 3*g = 2*b + 4, -b - 4*g + i = -4. Calculate the remainder when a(b) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -92\/21 (c) -12 (d) 2 (e) -0.3 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 159240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**3*l**3*y + h**3*m**2 + 107*h**3*m*y**2 + 2*h*l**3*m*y + h*l**2*m*y**2 - h*m**2*y**2 + 9*l**3*m**2*y + m*y**2 wrt m.\nAnswer: 2*h**3 - 2*h*y**2 + 18*l**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/41 or -146\/805?\nAnswer: -146\/805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 300 + -256 + (-2 - 29)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2. Let d(w) be the third derivative of 13*w**5\/20 + 41*w**2. Calculate d(t(x)).\nAnswer: 156*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 319 = 399 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 8 = -4. Let k(j) = -j**2 - 3 + j - o*j + 0. Give k(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/11023095 and -17\/173397?\nAnswer: 77161665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 2*n**3\/3 - 5*n**2\/2 + 8*n + 54. Calculate the smallest common multiple of 34 and s(4).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j + j**3 - 1 - 2*j - 2*j**2 - 5*j - j**2. Let s be k(5). Let x = s + -19. Calculate the remainder when 39 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89587.83 hours to minutes.\nAnswer: 5375269.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1095\/(-60) - 12\/16.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqyf when four letters picked without replacement from {f: 4, u: 1, t: 2, q: 2, y: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*x - 20 = 0, -3*s - x + 22 = 2*s. Let k(w) = w**3 - 3*w**2 + 9*w + 3. Let o be k(3). Suppose 4*n + n = o. Is n <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -259307, -259310, -259315, -259322?\n\"Answer: -m**2 - 259306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2 + f**2 + 45*f - 20*f - 27*f. Let w(q) = -q + 1. Determine -2*r(m) + 4*w(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**5\/3 + 10*o**4\/3 + 2*o**3 - 32*o**2\/3 - 47*o\/3 - 6 = 0.\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*w**3 - 2913*w**2 - 7153*w wrt w?\nAnswer: -18*w - 5826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 4)\/((-2)\/(-10)). Let g(j) = -5 + 3*j - j - j**2 - 7*j. What is g(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2944, 2784, 2514, 2134?\nAnswer: 1644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/19 in 1\/12, -0.4, 46?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 59 - 78*(-23)\/(-69)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**4\/24 - 178*m**2. Let z(p) = 6*p**2 - 6*p**2 + 12*p**2. What is w(z(c))?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 28. Let o be (-3 + 1)\/v*-3. Let p be (-1 + 1)*(-8)\/(-16). Sort o, -1, p.\nAnswer: -1, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 66 and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -10. Let a be (-10 - -12 - 4) + (-16)\/(-7). What is the closest to -1\/5 in -5, c, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*x - 12 = 39*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1037, -2076, -3115?\nAnswer: -4154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 783\/2*v - 243\/4*v**2 - 2523\/4 = 0. Calculate v.\nAnswer: 29\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81570 is divided by 4078.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 - 3*d + 2. Let m be h(2). Let y = m - 2. What is the units digit of y\/(-3) - 1*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, t: 1, b: 10, f: 4}. Give prob of sequence ff.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**4 - 458*x**3 - 50593*x**2 - 99816*x - 49680 = 0.\nAnswer: -276, -180, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -5. Let j = 7 + -9. Let c be -2*10\/15*2\/(-36). What is the third smallest value in c, v, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 8. Suppose -4*v + j - 7 = -55, 2*v = -w*j + 2. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, l: 1, t: 1, k: 1, m: 1}. Give prob of sequence vtv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 25805598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*a + 5*a + 1 - 13*a + (12*a - a - 5*a)*(0 + 0 + 2) to the form w*a + g and give w.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0\/l**(-3))\/((l*l*l**(-4)*l*l)\/l**(-1\/3)) assuming l is positive.\nAnswer: l**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70876839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43591*u**3 - 26610*u**2 wrt u?\nAnswer: -261546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -1796099390?\nAnswer: 1796099389.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48)\/(-22) - 12\/66. Solve 0 = -2*w - b*u, 4*w + 2*u + 13 - 5 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 - -6*1\/(-2). Suppose 5*d - 74 = -3*z, v*z - 60 = -2*d - 19. Suppose b = d + 53. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 h when three letters picked without replacement from hqqqqhhhqh.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**4\/12 - 2*c. Let g(v) be the first derivative of 4*v**3\/3 + 51. Calculate g(o(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 349099511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 0*f**3 + 0*f**3)*(-2 - 2 + 3)*(-2*f**2 + 4*f**2 + 6*f**2).\nAnswer: -8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -2\/9 (c) -34 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-89 - -51)\/(539\/(-537) - -1).\nAnswer: 3, 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5 - 2639*n**4 - 923556*n**3 - 34963722*n**2 - 342426042*n + 180069561 = 0.\nAnswer: -639, -21, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 188, 22, 0, -5, 77, 2, 1 in ascending order.\nAnswer: -5, 0, 1, 2, 22, 77, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*n**2 - 31*n**2 + 169*n**3 + 85*n**2 - 28*n**2.\nAnswer: 169*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 145?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnq when three letters picked without replacement from {n: 5, q: 1, i: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 11 = 19. Suppose 20 = 2*n + t*n. Solve -j = n*l + 5, -2*j + 4*l = -j - 13 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -11, -1\/33, 0.09 in descending order.\nAnswer: 5, 0.09, -1\/33, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(6\/5)*(u**(-3\/28)*u*u)\/u)\/(u**(2\/47)*u)**(2\/15) assuming u is positive.\nAnswer: u**(38569\/19740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.97 to 0 decimal places.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/355 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 4*f + 4, 0 = -4*f - 20*r + 24*r - 28. Let y be (2\/(-28))\/((-2)\/(-4)). What is the nearest to -2 in 0.4, f, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/(-20))\/(2\/(-10)*-1). Which is smaller: 7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-1)*(-184)\/(-9568).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**3 - o**2 - 3*o - 34. Let h(z) = z**3 - z. Let m(y) = 2*h(y) - s(y). What are the prime factors of m(0)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3768*j**3*p**3 - 4*j**3*p + 2*j**2*p**3 + 6*p**3 - 16*p**2 - 280*p wrt p.\nAnswer: 22608*j**3 + 12*j**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -74883176\/7 at most -10697596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533014694?\nAnswer: 2, 266507347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*x - 5738 - 4459 = 104*x - 279 for x.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 9:53 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**3)\/i)**(-20)\/(i\/(i\/i**(1\/5)*i*i)*(i**(-12\/7)\/i)\/i))**(1\/5) assuming i is positive.\nAnswer: i**(2293\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1840532 is divided by 8891.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53276054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157475429?\nAnswer: 179, 383, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*m**2 - 6*m**2 - 2*m**2 + 3*m**2 + 5*m**6 wrt m.\nAnswer: 600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 + 2*b**3 + 0*b**3 + (-3 + 3 - b**2)*(-5*b + 2*b + b) + 37 + 23*b**3 - 37.\nAnswer: 27*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -305 + 419. What is the greatest common factor of b and 1539?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/18 and -9 + 366\/42 - 277\/(-14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + sqrt(11) + sqrt(1331) + (sqrt(1331) + -3 + sqrt(1331) - sqrt(1331))))**2.\nAnswer: -230*sqrt(11) + 5844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 3:48 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 37*t - 22. Let a be w(0). Suppose 4*k = 6*k + 34. Let c = k - a. What is the remainder when c is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2914 - 74*o - 86*o + o**2 - 2917 to the form l + m*o + h*o**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*o = 12, 2*o + 13 - 4 = -s. Solve 0 = 2*w - 4*g + 6, -2*w = -5*w - s*g + 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49179*d**5 - 216710*d**4 - 278063*d**3 - 85316*d**2 - 4908*d + 576 = 0.\nAnswer: -2, -3\/13, 16\/291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 948, 946, 944, 942?\n\"Answer: -2*a + 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3439, 7346, 13859, 22978, 34703, 49034, 65971?\nAnswer: 85514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 910982083 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139 + 111 = -38*z + 390 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*t = -4*j + 336, 0 = -2*t. What is the remainder when j is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5192.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - (sqrt(22) + sqrt(22)*4))*5)\/(-4*(sqrt(11) + sqrt(88)\/sqrt(8))) + 4 + -5.\nAnswer: -1 + 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2335?\nAnswer: 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259299800 to the nearest integer?\nAnswer: 16103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -4*i + 4*v - 45, -12*i = -4*i - 3*v + 148 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 816\/9 - ((-1)\/3 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**3 + 3*b**2 - 2*b + 8. Let a(m) = -m**3 - 2*m**2 + m - 4. Let r(o) = a(o) + z(o). Give r(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 83 = -4*y - 113, 3*y + 40 = 5*r. Put -1, 2, 9, y, -4 in decreasing order.\nAnswer: 9, 2, -1, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3\/5 - 33*h**2 - 776*h\/5 + 768 = 0. What is h?\nAnswer: -160, -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t - 9. Let x(h) be the second derivative of -7*h**4\/12 - 248*h. Determine a(x(d)).\nAnswer: -14*d**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/11 (b) 71.23706 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -186137, -372272, -558403, -744530, -930653?\n\"Answer: 2*r**2 - 186141*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2658, 11, 1, 5, 4 in increasing order.\nAnswer: 1, 4, 5, 11, 12, 2658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 u, and 1 w when three letters picked without replacement from winwwjwuutnuju?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + 0*p - 2*p - 20 + 0*p**2 + p.\nAnswer: -p**2 - p - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -59 or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-186*a + 186*a - 66*a**3)*(-1 - 1 + 4) to the form n*a**3 + x + y*a**2 + u*a and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -27, 41, 129, 237, 365, 513?\nAnswer: 681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 44\/10 + (-2)\/5. Find the second derivative of 6*i - 2*i**4 - 3*i + 3*i**f wrt i.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -46, 249?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 17 = 5. Let k = a - 2. Suppose k*c = -45 + 119. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -1 (c) -5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 7*r - 4. Let b be o(-8). List the prime factors of ((-75)\/(-12) + -2)*b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.20721 and -323.499113?\nAnswer: 327.706323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 5*p + 10 + 10, 2*u + 5*p = 8. Let j be 2\/(-6)*(-7 + -2). Suppose 4*q - 26 = 2*l, 2*q + j*l - 22 = 3. Solve u*w = -0*w - q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/4 and 8658 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/n**(-1\/4))**(-15)\/(n**(2\/5)*n*n)**37 assuming n is positive.\nAnswer: n**(-2751\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (-35 + 15 - -65)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 134044090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-3)\/24*-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 - 0.4. Suppose 0 = 3*g - 5*y + 4, y - 4 = -5*g + 4*y. Sort l, g, -4, -2\/3 in decreasing order.\nAnswer: g, l, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2221*d**3 - 2*d - 55929 wrt d.\nAnswer: 6663*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5 = -15. Let k be (-1 - -2)\/((-1)\/(-107)). Let c(g) = -k + 106 - g + 5*g - 3*g. Calculate c(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5563, -11149, -16737, -22327, -27919, -33513?\n\"Answer: -d**2 - 5583*d + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -2.075 (b) -4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1653 (base 7) to base 6.\nAnswer: -3043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14.3232 and 2.\nAnswer: -28.6464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**2 - 14*z**2 + 1271 - 1271 - 10*z**2.\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000402000229 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 2 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -0.029.\nAnswer: 0.0116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 1)*(532*c + 51*c + 200*c) as p + g*c and give g.\nAnswer: 783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23361, -23370, -23393, -23436, -23505?\nAnswer: -23606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 1 = -3*o. Let g(a) = 2*a**2 + a - 1. Let m be g(o). Suppose m + 9 = r. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 282900, 282885, 282870, 282855?\nAnswer: 282840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/9490 and -81\/494.\nAnswer: 180310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 3016*n**2 + 12088*n + 12096.\nAnswer: -2*(n - 1512)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*a**2 + 5 + 7*a**2 + 6*a**2 + (-2*a + 5*a + 0*a)*(3 - 3 + 13*a).\nAnswer: 41*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -21*u**2 - 15*u - 9. Does 3 divide b(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkk when three letters picked without replacement from kfkfkkkkkkfkkk.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2476 - -2569. What is the remainder when 346 is divided by v?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -133400531\/5 less than or equal to -26680105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*g - 3. Suppose 0 = -g*v + 6 + 2. Solve 6 = 3*n + 3*t, -v*t = -5*n + 1 - 18 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52851 = -128*k + 49651 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1188)\/(-21))\/(-4) + 30\/(-4) + 1204\/56.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -28)\/((-14)\/21). Let g be (-2)\/8 + o\/(-8). Suppose -13631 = g*b - 288631. What is b rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**4 - 6745*g**3 - 6720*g**2 + 26980*g + 26960 = 0. What is g?\nAnswer: -1348, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -204 - -143. Let f(g) = 9*g**2 - 2*g + 6. Let d be f(-3). Let t = k + d. Calculate the remainder when 90 is divided by t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(45) + 2.\nAnswer: 3*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*r**2 - 14*r**2 - 13*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - a - 1. Let c(f) = 3*f**2 - f + 20. Let p(z) = c(z) + 5*u(z). Is p(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 81 = 105. Let y = 74.8 - 69. Let z = -0.8 + y. Which is the smallest value? (a) 0.2 (b) z (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 273651 and 42233?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1338*r - 2231. What are the prime factors of u(8)?\nAnswer: 37, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2217*m**2 - 36*m**3 - 2217*m**2.\nAnswer: -36*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, k: 3, z: 1, l: 1, n: 4}. Give prob of sequence lnk.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 14*j + 33. Sort j, -5, -3 in increasing order.\nAnswer: -5, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 2*a - 1. Let o be l(-3). Suppose 3*x - 3*t - 20 = t, 3*x = t + o. Let g = 7 - x. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -807 = -4*c + 1417. Let v = 372 + -11. Suppose u - c = v. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1759 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -26 times 1583\nAnswer: -41158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 - 70. What is the highest common factor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 7*a**2 - 2*a - 1. Calculate z(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/4*2\/(-4)*8.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -1208472?\nAnswer: -10876248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**3*v + 1405*k**3 - 3*k**2*u - n*u*v - 23*n*v**2 + n + 8*v**2 + 1 wrt v.\nAnswer: -k**3 - n*u - 46*n*v + 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x**2 - 181*x - 73. Let w(c) = 9*c**2 + 332*c + 145. Calculate 6*w(g) + 11*y(g).\nAnswer: -g**2 + g + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10 - -4)\/(-2) + 1 + 289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l - l - 2*l. Suppose 0 = -3*i + 75 - 30. Let w(k) = 12*k**2 + 15*k - 15. Let p(g) = g**2 + g - 1. Let o(d) = i*p(d) - w(d). Calculate z(o(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1931 - -0.1931. Put -4, 1, 7, i in decreasing order.\nAnswer: 7, 1, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/30 and -193\/2640.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -1192*m**3 + m**2 + m - 2. Let v be d(3). Let y = -2027048\/63 - v. Let j = 8\/7 + y. Which is the closest to -0.2? (a) 0 (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + p - 11. What is x(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -374788 - -14990357\/40. Let h = 235\/8 + s. Which is smaller: -31 or h?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.298 take away -24979?\nAnswer: 24979.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2\/27*-15)\/(1\/(63\/56))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 - 39*r + 39*r - 6*r**3 + 0*r**4 - r**5 + 0*r**4 + 5*r - 5*r + r**5 + (3 - 3 - 2*r)*(-1 - r**4 + 1) + 2*r**5 - r**5 - 2*r**5.\nAnswer: -r**5 - 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + w + 2)*(-3*w + w + 0*w) + w**2 - 3*w**2 + 0*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7525 - 7525.5. Let r = -30 - -21. Let z be (-6)\/r*(-6)\/34. What is the fourth smallest value in 0.4, x, 0.5, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 29*q - 917. What is y(-19)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 1296 and -3.76104455.\nAnswer: 1292.23895545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -478.29+-64100\nAnswer: -64578.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 17294*t. Let u(w) = -1277*w**2. Determine j(u(z)).\nAnswer: -22084438*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10762 - -10771. Let z be (-2)\/(-8) + 17\/(-4). Let v(k) = -k**2 + 5*k - 4. Let m(u) = -2*u**2 + 11*u - 9. Calculate a*v(j) + z*m(j).\nAnswer: -j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -13. Is -14 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1886 or -2?\nAnswer: 1886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 5*p + 2*g + 21, -21 = -3*p - 3*g. Let f = -28 + 40. Suppose 0 = 5*y - 13 - f. Solve 0 = y*i + m - 20, -2*i + p = 4*m - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*k - 227 - 138 + 79 = 0. Sort 27\/11, 4, -0.6, 1\/3, k in decreasing order.\nAnswer: 4, 27\/11, 1\/3, -0.6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o + 1 = 0. Let b = 2 + o. Let v be 2 + (0\/b)\/3. Let x(y) = -y**2 + 3. Let j(t) = -4*t**2 + 13. What is v*j(c) - 9*x(c)?\nAnswer: c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4858161 divided by 11\nAnswer: 441651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26053*g*l**2*v**2 - 25*g*l**2 - 351*l**2*v**2 + 125946*l**2 with respect to v.\nAnswer: -52106*g*l**2*v - 702*l**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 154*s - 11949. What is the smallest common multiple of m(80) and 2491?\nAnswer: 17437","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeee when four letters picked without replacement from vvvpveveeepyv.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 237889?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 27884076 and 21536.\nAnswer: 27905612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 978783692?\nAnswer: 2, 443, 541, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 5*f - 5 = 3*o, 3*f - 3 = 4*o. Which is the nearest to -2? (a) o (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 641335 or -0.352?\nAnswer: -0.352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.4, 2\/47, -9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.004 + -0.004. Which is the fourth smallest value? (a) q (b) -1\/6 (c) 1 (d) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5052.27395 rounded to the nearest 10?\nAnswer: 5050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 4*l**2 - 282*l - 869. What is m(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1727, -3448, -5169?\nAnswer: -6890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -7. Suppose b*i = -0*i + 10. Let m(l) = l**3 - 3*l**2 + 2*l. Let z be m(2). Solve i*a + 3*w - 5 = -z, 4*w = -a + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 + 686\/22 - 2\/((-44)\/132634) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 0.05, 12, -3\/92, 2\/3, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 229 + -110. Calculate the remainder when l is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2310, -2285, -2310, -2409, -2606?\nAnswer: -2925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359*f**2 + 195*f**2 + 179*f**2 - f.\nAnswer: 15*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 3, 1149, -621 in increasing order.\nAnswer: -621, -4, 0, 3, 1149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177 divided by -59.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10220032 - 2?\nAnswer: 10220030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.2. Let s = -0.4 - -0.3. Let q = g - s. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in nine tenths of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(1\/3)*r)\/(r**(-1\/4)*r))\/(((r**9\/r)\/r*r*r)\/(r\/r**(-5))) assuming r is positive.\nAnswer: r**(-17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4, -3*k = -4*i - i + 2. Let x be ((-2)\/(-3))\/(i\/(-459)). Suppose x - 47 = 2*j. What are the prime factors of j?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 5453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102200001 - -122122001?\nAnswer: 2002022002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 37, 4, 2208, 1 in descending order.\nAnswer: 2208, 37, 4, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((-8)\/(-20135 - 1)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*p + 321*p**3 - 5020 - 37*p**3 + 5021.\nAnswer: 284*p**3 - 50*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-33) - 2\/(-11). Suppose d*y - y = -5. Suppose 28 + 7 = y*b. Is b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23\/70 - 6\/35. Let m = 139\/280 + g. Is m at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4408)\/(-13224))\/((-1)\/84).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 76 + 77 + 29*g - 59*g + 11 + 32*g in the form r*g + y and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 828 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: Let w(k) be the second derivative of -2*k**4\/3 - k**3\/2 - 3*k**2\/2 + 46*k. Let b(l) = 7*l**2 + 2*l + 2. Give 3*b(x) + 2*w(x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-192)\/36)\/((-4)\/258). Suppose -2*s = 4*z - 152, 5*s - s = 2*z + f. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1486379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 + -19?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*v + 128*v = 0. Let c(h) = h**3 - 14. Calculate c(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**7\/70 - 17*k**6\/10 + 121*k**5\/4 - 725*k**4\/4 - 4*k**2 - 2*k - 24. Factor v(u).\nAnswer: 3*u*(u - 58)*(u - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-12) - 2\/8. Let g = 118.496 + -2.396. Let q = -116 + g. Which is the closest to 0.2? (a) q (b) y (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/63 of a week in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*o**3 - 55*o**3 + 168*o**3 - 49*o**3.\nAnswer: 21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.643 (b) -5 (c) 0 (d) 0.057\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 242 divided by 1.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1167 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 58*v**2 + 745*v + 566. Determine s(-18).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**2\/9 + 58*h\/9 - 272\/3 = 0.\nAnswer: 24, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 2*s - 8. Let c(u) = 8*u**3 + 5*u**2 + u + 4. Let z be c(s). What is z rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9888*8.\nAnswer: 79104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0*w - w)*(4186 - 3407 - 1868)*(3*w**3 + w**3 - 2*w**3).\nAnswer: 4356*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*w**4*y**2 + 7*w**4*y - 312*w*y**2 - 2*w wrt w?\nAnswer: 240*w**2*y**2 + 84*w**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of (9\/(-6))\/(30\/(-640))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 3. Let r be n(-6). Let g(z) = 4*z - 4 - r*z - 3*z. Let v be g(-5). Solve -v = 3*a - a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/15 + (-9)\/315*26.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 36 = -4*o, -5*r = o + 12 + 19. Let s(j) = -2*j - 4. Let l be s(o). Let m = l + -13. Solve -m + 14 = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99 and 72?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (129\/(-301))\/((-216)\/1680)*(12\/1)\/1.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 15 - 2)*(-3*m + 0*m + m + (4 - m - 4)*(3 + 1 - 6) - 1 + 2*m + 1).\nAnswer: -48*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 3 (c) -710 (d) -3\/11 (e) -4 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1152130 (base 8) to base 9.\nAnswer: -532141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -0 + 8. Solve h = -a*h + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by (-8)\/(-2*1)*3723\/204?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21010002021001 + -11?\nAnswer: 21010002020220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*x = -1643, -2*x = -3*a + 3*x - 1225. Let f = -368 - a. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence scll when four letters picked without replacement from {l: 6, c: 2, r: 1, s: 4, p: 3}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.494711 millennia in months?\nAnswer: 53936.532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 235 - 235 + 27*t in the form l + p*t and give p.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - g = 5, 2*g + 2*g = -3*a - 2. Let c be ((-3)\/36*3)\/(a\/24). Solve -4*t + 4 = 3*w, -3*w + 4*w = -c*t + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 5. Suppose -5*x + 15 = z, -x - 3*x + 28 = 4*z. Which is smaller: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 0, 4.\nAnswer: -58, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/80 and 53\/9092.\nAnswer: 181840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, b: 2, g: 9, k: 1}. What is prob of sequence xbb?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000557 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 270324979*v**3 - 2*v**2 + v + 38483354 wrt v?\nAnswer: 1621949874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67556*c**2*r**3 - c**2*r**2 - c**2*r - 3*c**2 - 19*c wrt r?\nAnswer: 405336*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -298 - 602 = -5*s. Suppose 15*u = 11*u - s. Let k be u\/(-6)*((-52)\/(-12) + -3). What is the highest common divisor of 15 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.9 + -2.89999702. What is c rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 206120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -16559, -64939, -145571, -258455, -403591, -580979, -790619?\n\"Answer: -16126*h**2 - 2*h - 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 829 + 715 = -40*n - 136 for n.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p - 94 = 21*p + 140. Let o be -2*(0 - 2 - -1). Sort -5, o, p, -3 in decreasing order.\nAnswer: o, -3, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0261 to 3 decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 207 and 501.\nAnswer: 34569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2\/15*p**2 + 572\/15*p - 574\/15 = 0.\nAnswer: -287, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96 + 93. Let a(y) = -y**3 - 3*y**2 - 3*y - 4. Determine a(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5926 is divided by 360?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -184, -4, 3 in decreasing order.\nAnswer: 3, -3, -4, -5, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*d = 90*d - 152. What is the greatest common divisor of d and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - -16. Calculate the remainder when m is divided by (-407)\/(-185) + 3\/(-5)*16\/(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aya when three letters picked without replacement from aafnaynaayanfnfaayy?\nAnswer: 112\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 3*p**3 + 5*p**3.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -11*a**3 + 2*a**2 - 329*a - 33. Determine k(0).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*j = -19, 5*j + 0*j + 8 = 2*t. Let u = -315 - -309. List the prime factors of u\/t*(-138)\/4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**4\/3 - 7*h**3\/6 - 7*h**2\/2 + 109*h. Let z(j) = 2*j**2 + 3*j + 3. Determine -2*l(s) - 5*z(s).\nAnswer: -2*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, v: 4, t: 9}. What is prob of picking 1 v and 1 l?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 4*u = -17 + 41, 0 = 4*r + 2*u - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxbxjqojqqqxiqxx. What is prob of sequence iqob?\nAnswer: 1\/8736","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 22 = -2. Suppose -5*b - 19 + 174 = j*v, 63 = 3*v - 3*b. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1391*s - 657*s - 615*s.\nAnswer: 119*s - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/40)\/(200\/1050)\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15387.04 rounded to the nearest 100?\nAnswer: -15400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -465 - 1244?\nAnswer: -1720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5586*q - 3922*q + 34944 = 0 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 221030 and 87110.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + w = 30, w - 1 + 5 = 0. Calculate the remainder when (-5955)\/(-35) + -2 - (-3)\/(-21) is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -92*t**2 + 6821*t - 4208. What is the derivative of f(q) wrt q?\nAnswer: -184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 64259*l - 32473*l - 32540*l + (0 + 0 + 3*l)*(-3 + 0 + 6) to j + i*l and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -115 (base 8) to base 6\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/3 + 3)\/(2\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4261 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -4 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 10*r. What is the units digit of c(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -7*s. Let l be z(1). Let y = 12 + l. Suppose 2*r = 17 - y. What is the remainder when 10 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44116497?\nAnswer: 3, 101, 48533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -79 - 294ac?\nAnswer: -29536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*g + 34 = 0, -4*g - 14 = 4*y - 46. Suppose y*x + 278 = 2516. List the prime factors of x.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 28*d**2 - d + d + 22*d**2 - 31*d**2 - 6*d**3 in the form n*d**2 + i*d + h*d**3 + w and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6249935495.\nAnswer: 5, 733, 1705303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024253 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 374 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2 - o**2 - 15*o**3 + 14*o**3 + o + 7. Let h be r(-4). Solve 30 = 2*i - 5*c, -2*i + c - 1 = -h*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2159*g**3 - 2160*g**3 - 15 + 17 - 3485*g.\nAnswer: -g**3 - 3485*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230450.\nAnswer: 2, 5, 11, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 3*s - 2*r, 4*s + 40 = 4*r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = b + 5292, 3483 = 5*r + b - 5337. Let a = r + -1153. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -138775*k - 47993 wrt k?\nAnswer: -138775","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -506, -1132, -2008?\nAnswer: -3134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*y**2 - 20*y**2 + 38 - 34.\nAnswer: -136*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -13 and -671\/52 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 x, and 2 n when four letters picked without replacement from nfxngfaxx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-4648)\/(-1328))\/(91\/24)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -5. Suppose 3*q + 0*q - 2139 = -j*f, 5*f = -3*q + 2136. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194 - 390 = 28*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 3*t + 30. Suppose -16 = -t*d + 2*d. Is 16 a factor of 1302\/27 - d\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242 is divided by 121.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from ylgnlninllirl.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.109 + 15.939. Are p and -11\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*y - 2130 - 4101 = 0, 0 = 4*v + 4*y - 4980. What is the greatest common divisor of 344 and v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.442 times 4?\nAnswer: -1.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, w: 2}. Give prob of sequence fff.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 7*u + 2. Let g be l(7). Suppose -g*x + 5*x = 0. Suppose 0 = -x*z - 5*z + 15. Solve 4*c + 7 = y, 2*c + 9 = -2*y + z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 12280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -3, 1, -4, 0 in descending order.\nAnswer: 1, 0, -3, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.081, -27, 3, -160, -0.8, 0.3 in decreasing order.\nAnswer: 3, 0.3, 0.081, -0.8, -27, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.2 (c) -105\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 153 divided by -122\nAnswer: -153\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 2*n + 18, -5*x - 4*n + 62 = -1. Let s(u) = 15*u**2 - 2*u + 11. Let v(f) = -7*f**2 + f - 6. Give x*v(a) + 6*s(a).\nAnswer: 13*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 3:41 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**2 + 2. Let i(c) = -8*c**2 + 4. What is 6*i(k) - 13*n(k)?\nAnswer: 4*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 - 22. Solve r = 3*f - 14, -8 = -q*r + f - 36 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 209 = g. Let p = g - -181. Suppose -8*y + 216 = -4*y. Calculate the remainder when y is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, 2\/9, 2977 in ascending order.\nAnswer: 2\/9, 52, 2977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15115113124 + 2?\nAnswer: 15115113130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 + 2*f**2 + 0*f**2)*(132*f**2 - 132*f**2 + 6 - 2*f**3) + (-7*f + 3*f + 2*f)*(7 - 7 + 4*f**4).\nAnswer: -4*f**5 - 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -7*l + 4*l. Let v(h) = 3*h - 30. Let n be v(12). Let j(d) = d**2 - 8*d + 5. Let y be j(n). Which is greater: l or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/4950 and -163\/120.\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*i - 83*i + 2*o = 2, 2*i - 4*o + 4 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = l + 2*j - j, -3*j = l - 6. Let x = 1 + l. Suppose 0 + 5 = b - 3*v, 0 = b + v - x. Solve 20 = 6*a - b*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 344, 357, 384, 431, 504, 609?\n\"Answer: y**3 + y**2 + 3*y + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t + 9. Let v(d) be the third derivative of -d**3\/6 - 2*d**2. Suppose 2*h = -4*f + 10, -13*h + 11*h - f = -1. Determine h*n(l) - 9*v(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*k = 29*k + 49664. Calculate the greatest common factor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 33\/5 of a week?\nAnswer: 66528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9.9, 6, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14432 + 97135279?\nAnswer: 97149711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*16\/12 - -303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssbfbbbffbssbfsbbb. Give prob of picking 3 b and 1 s.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5 + (sqrt(75)*3 - sqrt(75)))**2 + -1 + 5*-1*sqrt(75) + 1.\nAnswer: 75*sqrt(3) + 330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -16, 153 in decreasing order.\nAnswer: 153, 5, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 29683a5?\nAnswer: -29683a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4 - 0. What is the units digit of j*(-4)\/(-32)*44?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2089.124cm to millimeters.\nAnswer: 20891.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 26002 + 24826 = 0. What is the highest common divisor of 6048 and x?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 6160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24466\/11 - -2224. What is the third biggest value in 0, 22, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 22*h**3 - h**2 + h - 4. Does 12 divide z(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*g + 102 = 216 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 441233 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 307480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 3*k + 24. Let n = 17 + k. Suppose 0 = 2*b + n - 95. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 431*o**2 + 550*o**2 + 7*o - 6*o - 310*o**2 - o.\nAnswer: 671*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6387149?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -87*m + 28. Let k be f(-6). Let z = 1035 - k. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2394.3 - 2373. Put j, -1, -3\/7 in descending order.\nAnswer: j, -3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7684214 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -613899 bigger than -613901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-12)*5736\/85323?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3273390?\nAnswer: 2, 3, 5, 37, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1275)*-1 - sqrt(1275))*1)\/(2*sqrt(3)*-2 - (1*sqrt(18))\/sqrt(6)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -433848, -867602, -1301262, -1734828?\n\"Answer: 47*r**2 - 433895*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 - ((10 - 2) + (-19 - (-10 - (-18 + 23)))).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437190 is divided by 1472?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3259 (base 10) in base 12?\nAnswer: 1a77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2592 divided by 72?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9, 52, 155, 348, 661?\n\"Answer: 5*z**3 + 8*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - 616 = 10*j. What is the highest common factor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - (-7)\/((-28)\/(-72)). Suppose -g*h = -19*h - 66600. What is h rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 5*j**2 - j + 11. Let o be t(5). Let w(b) = b**2 - 3*b - 26. Let f be w(7). Differentiate 8*q**3 + 10*q**f - o - 10*q**2 + 2*q**3 wrt q.\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*g - 14*g - 35*g)*(3*g**2 - g**2 + 2*g**2) + 42*g**2 - 42*g**2 + 13*g**3.\nAnswer: 117*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 + -129 - (16 + -32).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 468926\/18 - (-152)\/(-342) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2 - 2*f = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2580\/(-344))\/((-10)\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + -3 - 3) + -9 + 16 + -12\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (33 - (40 + -26)) + -157\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (2 + -8 - -1). Suppose -d - 95 = -v*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -61497 (base 11) to base 16.\nAnswer: -15ea7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 0 - 2)*(-6315 + 6315 - 6*o**3 + o**4).\nAnswer: 7*o**4 - 42*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r - 1. Suppose j - 1 = -2. Let o = j + 4. Let h(v) = -48. Let g(u) = 9*u + 147. Let s(l) = -g(l) - 3*h(l). Calculate o*s(f) - 7*k(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -0.17, 4, 0.8 in ascending order.\nAnswer: -18, -0.17, 0.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*k**5 + 2*k**4 - 260*k**3 + 81*k**2 - 10*k?\nAnswer: -240*k**2 + 48*k - 1560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 4, 220.8, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 2.9. Let f = 48 + -47.98. What is the nearest to 1 in 2, c, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2547933840?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5464 + -2?\nAnswer: 5462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 7:53 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7575701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, s: 3, i: 2, n: 2, a: 6, z: 4}. What is prob of sequence azas?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 1099000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84795?\nAnswer: 3, 5, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r - 1. Let s be x(25). Let a = -37 - s. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-87)\/4*2\/12 and 1\/((-1)\/1 - ((-1362)\/327 + 3))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 3*c - y - 16, -5*y = 4*c - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 346133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1 - (0 + -1 + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5775.989l in millilitres?\nAnswer: 5775989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.09 + -17.51. Let p = s + 26.3. Let m = 8 - p. What is the biggest value in -2, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in 9, -0.5, -2, 2\/13, 78?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1413 - 469 - v - 473 - 471.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 54214.587 to the nearest 1000.\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - 3\/(-1)) + 0. Let y(w) = -w**2 - 4*w - 2. Let t be y(b). Let l(z) = -1 + z**t + 3*z**3 + 0*z**3 - 2*z**3. Give l(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -4. Let i(g) = -2*g + 2. Let l be i(y). Calculate the greatest common factor of l and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u + 2. Let n(q) = q + 2. Let w(f) = -n(f) + v(f). Let c(z) = -32*z**2. Determine w(c(s)).\nAnswer: 256*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**6\/t**(-3\/8)*(t*t**(-1))**35 assuming t is positive.\nAnswer: t**(51\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a litre in millilitres?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25*i**2*o - 2*i**2 - 2*i*o + 19*o + 738 wrt o?\nAnswer: 25*i**2 - 2*i + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4953, -5809, -6687, -7593, -8533, -9513?\nAnswer: -10539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2329740884 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 13*u - 3*y = y + 35, 3*y + 15 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*g - 7*g + 92 - 13*g)*(-3 + 4 + 2)*(2*g - 5 + 5 - 4).\nAnswer: 6*g**2 + 540*g - 1104","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 606.4309mm in micrometers?\nAnswer: 606430.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-175)\/55 + (-8)\/(-44). Let c(l) = 1253*l**2 - 56*l. Let n(f) = 66*f**2 - 3*f. Determine j*c(d) + 56*n(d).\nAnswer: -63*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -973.6 + 965.6. Which is the second smallest value? (a) 106 (b) g (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -0.01, 0.5, 3, -1\/7913?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.3 (b) -21 (c) 0.06 (d) 4 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 3*f - 6 = 0, 11 = 5*h + 4*f - 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 7*p - 2. Let m(v) = -9*v**3 + 7*v**3 + 6*v + v**3 - 6*v**2. Let n be m(-7). Let k be d(n). Put k, 1, 2 in ascending order.\nAnswer: k, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13\/3? (a) -0.5 (b) -5 (c) -4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - 0.3. Let p = 0.9 - x. Let a = 2156.8 - 2157. What is the nearest to a in -0.3, p, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 264 - 135. Let n = z + -129.1. Let k = -0.33 - 1.67. Which is the closest to 0.03? (a) -5 (b) k (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiijiij. Give prob of picking 1 j and 1 i.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -0.14, -1, -2, -0.3 in increasing order.\nAnswer: -2, -1, -0.3, -0.14, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r + 492 = -33. What is the greatest common divisor of 85 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91 + -61. Suppose 3*a + h = -33. Let n be (-392)\/(-6)*a\/14. What is n rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 17*m - 39*m + 13*m**2 + 8*m + 14*m. Let r(c) = -11*c. What is q(r(f))?\nAnswer: 1573*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -1, 3, 120, 12, -3.\nAnswer: -5, -3, -1, 0, 3, 12, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 25\/36056 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 6, -5\/3, 1.15049, -1\/7, -0.5, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -11*m - 4. Let a be l(-8). Let d be -3 - ((-1490)\/a - 2). Let u = -97\/6 + d. Is 2 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 189\/2*3508\/6. Let o = m - 93251. What is o rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(1\/4))\/j)\/j**15)\/(j**(-2\/27)*j)**(-36) assuming j is positive.\nAnswer: j**(223\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 0 - -1*113. Suppose 2*n + m = 7*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 195, 11\/5, -0.0466?\nAnswer: -0.0466","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.7 * 508.7.\nAnswer: -2899.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.48626 to two dps.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 195.8 - 195. Let z = -43\/230 - -1\/10. What is the nearest to 0 in z, v, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -87 (b) 2\/5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111143 (base 12) to base 16.\nAnswer: -42483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2457)\/(-1365)*10*(-4)\/(-1056)\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26806371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d**13\/d))\/((d**1*d)\/d))\/(d\/(d\/(d**11*d))*d\/(((((d\/(d*d**4*d))\/d)\/d*d)\/d)\/d)) assuming d is positive.\nAnswer: d**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 1)\/((-7)\/(-39200035)) + -5. Round i to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -23\/3 (b) 7 (c) 4 (d) -131.874\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3295?\nAnswer: 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 274 and 68911.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*q - 20*q - 7*q + 23*q.\nAnswer: -113*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16550 and 5461500?\nAnswer: 5461500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12754074 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 344*i + 3008.\nAnswer: -4*(i - 8)*(i + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 27165167 (base 8) to base 15\nAnswer: 8043aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/2? (a) 0.9 (b) 3 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 r, and 1 d when four letters picked without replacement from {w: 2, k: 2, r: 6, d: 4}.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14415.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -g + 3*g - v, 2*v + 2 = 2*g. What is the closest to g in -0.4, -0.5, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1132880*i**2 + 8*i + 7*i - 1132877*i**2 + 12*i - 27*i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1206.3 + -1206. Let t be (-35)\/28*(-6)\/(-15). Sort t, -9, f, -4 in ascending order.\nAnswer: -9, -4, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 10:11 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 - 61 = -5*a. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5120 by -45.\nAnswer: 1024\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w + 18*w**2 + 21*w**3 - 3*w + 17*w**2 - 37*w**2. Is f(3) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32378 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*t - 8, 51*h = -3*t + 47*h - 25. Which is smaller: -3.6 or t?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14531\/53 + 274. Let u = -1447\/530 + v. Let b = -134881\/16 + 8435. What is the common denominator of b and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 - 42. What is the highest common factor of 70 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.8549771ns to weeks.\nAnswer: 0.00000000000006755121875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1239 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3266*t**2. Let h(c) = 2*c. Calculate s(h(y)).\nAnswer: 13064*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z - 2088 = -14049. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 83*h - 970. Let q be u(-94). Let p = 609 + -97. What is the greatest common divisor of p and q?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218\/((-4 + -3)\/(-7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 0. Find the third derivative of u**2 + 2*u**2 - 8*u**6 - 4*u**d wrt u.\nAnswer: -1440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 9 = j, 9*d + 3*j + 6 = 10*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 9*h**3 - 8*h**2 - 5*h + 5. Let z(n) = -18*n**3 + 15*n**2 + 9*n - 9. Let r(l) = -9*w(l) - 5*z(l). Factor r(f).\nAnswer: 3*f**2*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 7. Let v(y) = -15*y**2 - 10110*y - 5110675. Let j(p) = -10*b(p) + v(p). Solve j(i) = 0.\nAnswer: -1011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54\/3287 - -6196\/23009. Factor 24\/7 + 26\/7*a + f*a**2.\nAnswer: 2*(a + 1)*(a + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25548 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 7\/88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3084*y + 41473*y**3 + 395*y**2 - 395*y**2 - 3084*y)*(-1 + 2*y + 1).\nAnswer: 82946*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-4 + 54\/14)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = b. Suppose 4*c = -2*j - 2*j + 108, 2*c = -8. Suppose v - s = j, -14 - 13 = -b*v - 5*s. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyzi when four letters picked without replacement from oyozizozoii.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -500 - 171*q**2 + 500 - q + 4*q**2 - 3*q**2 + 2 + 2*q**2 + (-3*q + 3*q - 2*q)*(2*q + 2*q - 2*q) to u + f*q + s*q**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37\/14 - -459\/28. What is the common denominator of q and ((-525)\/400)\/((6\/(-56))\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/6)\/((-57)\/95). Solve -5*x = -25, -o*b - x + 5 + 25 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22333?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/((-15)\/(-39))*1. Let h = w + -23\/2. Which is greater: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 28*b**2 + 4*b + 66. Let a(r) = -19*r**2 - 3*r - 44. Give 7*a(n) + 5*v(n).\nAnswer: 7*n**2 - n + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3221*q - 203023 = 77204 for q.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**4 - z**2. Let q(y) = -11*y**5 + 6*y**4 + 6*y**2 - 13*y. Let o(p) = 6*a(p) + q(p). What is the second derivative of o(v) wrt v?\nAnswer: -220*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -88 + 16 + 18 + 89?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25464400 + 27?\nAnswer: -25464351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9451 - -15202. List the prime factors of u.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2111106 is divided by 1055548.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwywywwwwwyywy. What is prob of picking 1 y and 2 w?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/7 + 1789929*r**2\/7 - 266988047049*r\/7 + 266986257123\/7.\nAnswer: -3*(r - 298321)**2*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m - 204*m**3 - 5*m + 69*m**3 + 65*m**3 + 72*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 12:55 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {n: 1, w: 8, l: 2, g: 4, r: 1}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1817 + -1814. Let n(j) be the first derivative of -f + 0*j - 5\/2*j**2. Let p(m) = -2*m. Calculate n(p(i)).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*((-60)\/(-108))\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**2 + 473. Let f(r) = -4*r**2 + 710. Let l(c) = 5*f(c) - 7*j(c). Is l(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*d**2 - d**3 - 145*d**2.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*r**2*s**5 + 2*r**2 - 3462*r*s**3 - 3*r*s**2 - 9*r + s**3 - 8*s**2 - 26 wrt s?\nAnswer: 1260*r**2*s**2 - 20772*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (6 + -7) - -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/322901760 and 83\/16817800.\nAnswer: 1614508800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 5)*(-4 + 5 + 1) - 1 + 4 - 5)*(5*q + 14*q - 5*q).\nAnswer: -84*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 i when four letters picked without replacement from iiccccicii.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6128*h**2*v + 87144*h**2 - 4*h*v - v with respect to v.\nAnswer: -6128*h**2 - 4*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/7 - 1\/7*x**2 + 25\/7*x.\nAnswer: -(x - 24)*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 9. Let o(i) = 1. Let v(m) = -m**2 + 3*m + 3. Let z be v(4). Let k(b) = z*u(b) - 6*o(b). Let p be (3\/9)\/((-1)\/(-12)). Determine k(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -12*t + 10. What is the greatest common factor of t and 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 11*b + 128. What is q(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(8)\/sqrt(4)*-4 + sqrt(2)))\/(sqrt(44)\/((-2*sqrt(77))\/sqrt(7))).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18830 - -10469. Let y = 8351.846 + h. Let t = y - 0.046. Round t to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6838 to 2 decimal places.\nAnswer: 1.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*(sqrt(14)\/sqrt(2))**2 - 3*sqrt(21)\/sqrt(3)).\nAnswer: -6*sqrt(7) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/276552 and 29\/46?\nAnswer: 276552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 0*n**4 + 0*n**6 + 4\/7*n**7 + 0*n + 58 + 0*n**5 - 22\/3*n**3 + 1\/2*n**2. What is the third derivative of s(u) wrt u?\nAnswer: 480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/30*(-10)\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1655433264 less than 0.17908?\nAnswer: -1655433263.82092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 7:29 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**4*n**3 - 189*l**4*n + 2*l**2*n**2 - 10*n**3 - 3*n**2 wrt l.\nAnswer: -24*l*n**3 - 4536*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(847) - (3 + sqrt(847)))*4*-5 + 3 + ((2 + sqrt(847))*6 + 4)**2.\nAnswer: 2112*sqrt(7) + 30813","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 1\/108*t**4 + 0*t**3 + 1\/270*t**5 - 3*t**2 + 0*t - 1\/270*t**6 + 1. Let z(h) be the second derivative of a(h). Factor z(w).\nAnswer: -2*w*(w - 1)*(2*w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*m - 3, -2 = 5*m - 3*a - 11. Let q = -503.31 + 500. Let z = q + -1.69. What is the biggest value in m, z, -2\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 37000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f + 16. Let u(j) = -j + 1. Calculate -l(p) + 3*u(p).\nAnswer: -2*p - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5788 + 2521. Is 288 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.94 - -0.93999638. What is a rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 10:28 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39293159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 1:56 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 - -77. Suppose 0*f + 4*p - k = -4*f, -5*f + 2*p + 42 = 0. Solve -f = 4*l + 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 s when three letters picked without replacement from ssglcgce.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by 21\nAnswer: -43\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -0.7. Let z(n) = -2*n**2 - 2*n + 5. Let t be z(2). What is the third smallest value in v, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 u when three letters picked without replacement from {o: 2, u: 2, c: 1, l: 1, g: 1, i: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 942459 = 32*n - 308261. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*r + 13. Let w = 99\/97 - -13372\/679. Let h = w - r. Which is smaller: h or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vviaivvvavwf. What is prob of picking 1 a and 1 f?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -250*c**4 + 7*c**4 + 16*c**4 + (-20*c**2 + 9*c**2 - 4*c**2)*(5*c**2 - 5*c**2 - c**2).\nAnswer: -212*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 12*c**2 - 10*c - 11. Suppose -11*m + 65 = -12. Suppose 3*r - 32 = m*r + 4*j, -5*r = -5*j + 80. List the prime factors of i(r).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*d - 156, -i + 4*d = -0*d - 72. What is the remainder when i is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 1\/4 (b) -944 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18496681.\nAnswer: 7, 2642383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5045 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 - 25. Suppose o = -2*s + 252 + 40. What are the prime factors of s?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*m**5 - m**4*t + 9*m**2*t wrt m.\nAnswer: 1860*m**2 - 24*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 418 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53611547669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12514*t + 39569 wrt t.\nAnswer: -12514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9))\/((-3)\/(-12)*-2).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -791395621\/1500 + 527597. Calculate the common denominator of -67\/750 and q.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300742 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 178.97 - 178.67. Which is the closest to 14? (a) w (b) 4\/69 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 307, 2447, 8261, 19585, 38255?\nAnswer: 66107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(405)*-4*-4 + 3))**2.\nAnswer: 6912*sqrt(5) + 1658916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 239837 - 239845 = -4*a, 6*a = b - 22 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 35919?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, l: 4, x: 2, z: 11}. Give prob of sequence uzz.\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 less than 249?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 10*g**3 + 640*g**2 - 4*g - 20. Let d(y) = -7*y**3 - 427*y**2 + 2*y + 14. Calculate -7*d(t) - 5*j(t).\nAnswer: -t**3 - 211*t**2 + 6*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 232738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10001021223 - 3?\nAnswer: -10001021232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2596\/119 - 366\/17. Determine j, given that 2\/7*j**3 + 0 - g*j**5 + 4\/7*j**4 - 4\/7*j**2 + 0*j = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b - 2*b - 2*b)*(-3*b + 2*b + 2*b) + 3*b**2 - b**2 + 0*b**2 + 8873 - 143*b**2 - 8873.\nAnswer: -139*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 7*d - 4. Let s be h(5). Let m = 4 + s. What is the remainder when 48 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.2 * 11102\nAnswer: 46628.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ten ninths of a day in minutes?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9074 divided by -1980?\nAnswer: -4537\/990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 + 3*q. Let t be k(-2). Is 111\/t*6\/1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + -1. Let p be a\/(-1 + (-3)\/6). Let l be 59001 - (p\/(-2) - -2). What is l rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 27. Let z be 6\/(-7)*(-28)\/52. Which is smaller: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05831628 + 2.7416822. Let h = q - 2.8. Round h to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 20*f + 2. Calculate c(-4).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = 8*m + 24800. Round m to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, e: 2, m: 3, b: 1, u: 4}. Give prob of picking 2 m.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*k**3 - 9724*k**2 + 618608*k - 245888.\nAnswer: 2*(k - 904)*(k - 68)*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 3*d**2 - 3*d + 5. Let s(j) = j**3 - 6*j**2 + 5*j - 9. Suppose -4*w + 20 = 2*b, -w + 11*b - 12*b + 5 = 0. Give w*u(z) + 3*s(z).\nAnswer: -2*z**3 - 3*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x + 29*x = 24 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2522 + -4?\nAnswer: -2526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*u*w**3 - 151*u*w**2 + 2*u*w + 2*w**5 + w**3 wrt w?\nAnswer: 168*u + 120*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - o**3 + 597655*o**2 - 597655*o**2 + 0*o + 147 to the form i*o**3 + a*o**2 + n + k*o and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 9. Suppose -3*x = -4*z - 168, x - 5*x = 2*z - 224. Calculate the highest common factor of p and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 74*v**2 + 3 - 1 + 0.\nAnswer: 74*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/(13\/(858\/2)) - -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 99 = u + u, -3*v - 139 = -2*u. What are the prime factors of u?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 48? (a) 15 (b) 0.2 (c) 205\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7401, -28066, -62497, -110688, -172633, -248326, -337761, -440932?\n\"Answer: h**3 - 6889*h**2 - 5*h - 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 11. What is the remainder when 22 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**5 - 322*j**4 = 0.\nAnswer: -322, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101009\/35 - 2885. Find the common denominator of b and 2\/255.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r + 11. Let b be t(0). Suppose -2*y = -3*h + 5 + b, -15 = 5*h + 5*y. Suppose 4*z + h*s - 32 = 48, 2*z - 64 = 5*s. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 15\/6 + 846650\/140 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1071.1866s?\nAnswer: 17.85311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than 19063963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 7*x + 60. Give f(-12).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 minus -23?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1732 - 997. Let n be m\/27 + 12\/(-54). Differentiate 5*i**3 + 27*i + 2*i**3 + 6 - n*i wrt i.\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(2))\/sqrt(5) - sqrt(18)\/(sqrt(9) + sqrt(144)) - 5*(2 + sqrt(10)\/sqrt(5))**2.\nAnswer: -30 - 96*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5938*z + 2*z**2 - 5938*z.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-1\/14))*a*a**(-2\/13)*(a*a*a*a*a\/(a*a**(-4\/7)))\/(a\/a**9*a*a))**30 assuming a is positive.\nAnswer: a**(31365\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i - 15*n + 94 = -17*i, 0 = 26*i - 29*i + 5*n + 38 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -9. Let k be ((-4)\/w)\/(12\/(-702)). Let c = -44 + k. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, s: 2, j: 6, u: 4}. What is prob of sequence sas?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(65)\/(sqrt(25)\/sqrt(5)))**2 + 2) + -5.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*m + 27 = 0. Let t = m + 11. Suppose -116 = -4*o - 4*s, t*s + 2*s + 44 = o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 545 (c) -0.5 (d) 0.5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154699.\nAnswer: 154699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 680052137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 36*m**2 - 29*m + 223. What is f(-37)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**4\/12 - t**3 + 13*t**2\/2 - 4*t. Let z be n(10). Let g = 57 - z. What is the highest common factor of 28 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4502?\nAnswer: 2, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7065 is divided by 673.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 12*t**3 + 6*t**2 + 1. Is p(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 7*i + 3. Let d(b) = -50*b - 20. Let x(a) = -6*d(a) - 44*m(a). What is the derivative of x(c) wrt c?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 159135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 92.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0 (c) 0.2 (d) -1.9046\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 110474291 + 0?\nAnswer: 110474291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3011037275 to the nearest integer?\nAnswer: 54873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, p: 5}. What is prob of sequence pmp?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000097947 to 7 dps.\nAnswer: -0.0000979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1179062, 4716306, 10611738, 18865358, 29477166?\nAnswer: 42447162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 146 and 128042.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -1 in decreasing order.\nAnswer: 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 243983?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/88 and 107\/58620648?\nAnswer: 644827128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1258 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3 + 6 = -2*w, -4*i = -4. Let x = w + 2. Suppose 5*h = 12 + 3. Put x, -2\/7, h in increasing order.\nAnswer: x, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 7*y + 69. What is the remainder when 91 is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/2 + (703483725\/(-14))\/(-15). Suppose b + d = -2150075. What is b rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 times -25\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -9*s + 1. Let b(u) = u. Let h(g) = 4*b(g) + t(g). Let m be h(-1). Solve d + 2*d = m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 6\/547?\nAnswer: 6\/547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 400 + -399.9. Let o = 2.2 + -2. Put 1\/4, t, o in descending order.\nAnswer: 1\/4, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/11 (b) -2\/9 (c) -4 (d) -0.319 (e) -1\/6 (f) 1.6 (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 27*z**2 - 3*z + 6. Let l be d(0). Let q(a) = 25*a - 157. Calculate q(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-15 - -9)) + -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**2\/2 + 7*l - 9. Give m(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**4\/8 + 2*p**3\/3 - 2*p**2. Let n be l(-4). Let b = n - -27. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 2676.\nAnswer: 37464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14422 is divided by 446.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 50 = 2*t - 0*o + o + 42, 4*o = 3*t - 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {f: 2, j: 2, c: 4, l: 3, i: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(28\/(-14))\/((-2)\/(-1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2. Let z be 15\/((-1)\/3*(-10 - -1)). Let b(f) = 37*f + 6*f - z*f. Calculate m(b(v)).\nAnswer: -1444*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 446754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + 38.6. What is the second smallest value in v, 3, -2\/3, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 29 - -a?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4260 and 153060.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1494870 to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -101\/4 (c) -1 (d) -58384\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 30. Suppose -4*b + 36 = -j*g, -b = -g + 2*g + 1. Let v be 4 + 3 - 6 - (-11 + 0). Solve 3*t - v = k + 7*t, -2*k + b*t + 24 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2602820 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, q: 4, p: 3, s: 6, n: 1, r: 2}. What is prob of picking 3 p?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 254 - 243. What is the remainder when 18 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-29 - -13) + -48 + (17 - 5)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -488770 + -136.8.\nAnswer: -488906.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 878 divide 393896958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.064 + 0.064. Put 1, t, 1\/4, 3\/4 in decreasing order.\nAnswer: 1, 3\/4, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, k: 3, t: 6}. What is prob of sequence gt?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -695, -1365, -2027, -2675, -3303, -3905?\n\"Answer: v**3 - 2*v**2 - 671*v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*h + 53*h + 140*h)*(-3*h**3 - 10*h**3 + 4*h**3).\nAnswer: -1629*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 0*a - 4*d + 4 = 0, d - 1 = -2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7524, 30104, 67744, 120450, 188228, 271084, 369024, 482054?\nAnswer: 610180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1212 - 2?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*p**2 - 2 - 185*p + 105*p - 25*p + 2002*p**3 + 2 wrt p.\nAnswer: 12012","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 + 31. Let a = g - -29. Suppose -a*u - 3*f = -80, 68 + 98 = 5*u - f. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -54c?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 8*h**2 - 9*h - 8. What is r(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 67, 86, 107, 130, 155?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -184 + 110. Let l be ((112\/(-6))\/7)\/(h\/6). Let x = -191\/370 + l. Put 2, 1, x in increasing order.\nAnswer: x, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-11))\/(b*b**(1\/34)) assuming b is positive.\nAnswer: b**(373\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 3. Let h(f) = -17*f - 13. Let l be h(-1). Suppose 2*r = a*r - l. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1084, 1418, 1706, 1924, 2048, 2054?\nAnswer: 1918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(-4)\/(-11 + -1). Sort -2, l, -5.\nAnswer: -5, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -97*r - 1596. Calculate the remainder when k(-73) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865527 a multiple of 974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 675274957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - b - 4. Let o(m) = 2*m + 2. Let p be o(-1). Let y(c) = c**2 + 8. Let z be y(p). Suppose -26 + z = -6*l. Calculate r(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -10*d - 2. Suppose -d*k = -14 + 6. Suppose k = -4*h + 5*h. Solve -2*u + h + 8 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 704523*y = 704447*y + 245 + 2491 for y.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -328*l + 64. Let u be g(-12). What is u rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 2*3*10\/(-4). List the prime factors of l\/4 - -238 - 5.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 261 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512969?\nAnswer: 23, 22303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/8 - (-2383353)\/1092. Let v = 2180 - x. What is the common denominator of -49\/11 and v?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8674, 9109, 10280, 12553, 16294?\n\"Answer: 61*q**3 + 2*q**2 + 2*q + 8609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*f**3 + 5*f + 531*f**3 - 100*f**3.\nAnswer: 527*f**3 + 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*j = d - 14, -j = -3*d + 12. Let y = d - -4. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 4*m**2 - m**2)*(-1 + 1 + m) - 5*m**3 + m**3 - 2*m**3 + 4*m**3 + 0*m**3 - 3*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 386773 - 11773 = 0. Round i to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h = -17*h - 18. Let o = 21 + h. Solve -o*i + 0*i + 9 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47082 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 3*y, 16 = -0*p - 4*p + 4*y. Let t be 0 - ((-2)\/(-1) + p). Solve 0 = -f - t - 1 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (140\/98)\/((-60)\/35)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (5 + 5*((sqrt(405) + -1 + 5 - sqrt(405)) + 0 + sqrt(405) + 5))**2).\nAnswer: -25240 - 9000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -102585219, -102585217, -102585215, -102585213?\n\"Answer: 2*n - 102585221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 2*m**2 - 1. Let u be w(2). Let k(v) = -8*v. Let j = -12 + 17. Suppose j*l - 8*l = -18. Let y(g) = -23*g. Calculate l*y(c) + u*k(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -2*p. Let i(v) = -v**2 + v - 6. Calculate i(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 + 4*z + 41. Calculate the remainder when 119 is divided by m(0).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -52*q**4 - 11*q - 23. Let w(a) = -17*a**4 - 4*a - 7. Let r(z) = -3*i(z) + 8*w(z). What is the derivative of r(l) wrt l?\nAnswer: 80*l**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.86 + 0.14. Let x(v) = -v**3 + 11*v**2 - v + 10. Let t be x(11). What is the nearest to 1\/2 in t, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8233 + -8229. Suppose 5*z - 2*v = 5, 4*v - v + 2 = 2*z. Let t = 3 - z. Put -2, 14, x, t in increasing order.\nAnswer: -2, t, x, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1103 or 1104?\nAnswer: 1104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q + 2*q - 4*q)*(4*q - 4*q + 3*q) + q**2 + 0*q**2 + q**2 - 2*q**2 + 2*q**2 - q**2 - 69*q**2 - 39*q**2 + 0*q**2 as y*q + k*q**2 + j and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1*sqrt(1225)*-1)\/(-3*(sqrt(14) + sqrt(70)\/sqrt(5))\/sqrt(2)))*-1.\nAnswer: -5*sqrt(7)\/6 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**3\/3 + 520*v**2\/3 - 66548*v\/3 - 274576\/3 = 0?\nAnswer: -4, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 1\/6*p**3 + 0 - p**2 - 2*p. Find the first derivative of g(w) wrt w.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17190, 4, 3 in increasing order.\nAnswer: -17190, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -37, -1, 2 in descending order.\nAnswer: 2, 0, -1, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -3*b**2 - 7*b - 39. Calculate r(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 48\/(-20) - 72\/405?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -3. Suppose -4*m + 0*m + 4*t = -60, 0 = -4*m - y*t + 84. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -34, 10, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 70 = 64. Suppose -2*l + l + 18 = 5*d, l + g*d = 12. Solve 6 + l = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 + 3*q**2 - 4*q - 7. Let m(f) = 2*f**3 + 3*f**2 + 39. Let b(p) = p**3 + p + 15. Let g(w) = -3*b(w) + m(w). Calculate 4*g(u) - 3*x(u).\nAnswer: 2*u**3 + 3*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/882 and -157\/450.\nAnswer: 22050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -385 * 764608\nAnswer: -294374080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 71 in decreasing order.\nAnswer: 71, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(20)*-1)\/sqrt(2))\/(-4*sqrt(2)*1 - (sqrt(2) - 2*(sqrt(6)\/sqrt(3) + sqrt(2)))).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-6)*(-6)\/8. Find the first derivative of -8 - 5*g**4 + 9*g**3 - 17*g**l + 8*g**3 wrt g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 1. Let q be i(1). Suppose -4*t + t = q. Let b(g) = 1 + t - g**2 - 4 - g + 2. Let p(k) = -4*k**2 - 1. Determine -2*b(f) + p(f).\nAnswer: -2*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 6\/11, 12, 8 in ascending order.\nAnswer: -9, 6\/11, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000015866 rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 552 times 63\nAnswer: 34776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**5 + 114*i**2 + 635*i?\nAnswer: 40*i**3 + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a day in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -25*k + 20*k - 3*f, -5*f = 4*k + 32 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**4 + 1554*i - 9 - 782*i + 31*i**2 - 772*i to the form f*i + p*i**3 + b*i**4 + v + n*i**2 and give n.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8\/(t**(2\/3)\/t*t))**(-2\/53) assuming t is positive.\nAnswer: t**(-44\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-26 + 1 - (-12 - -2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -21*w**2 + 6*w + 4. Let a(h) = -h**2 - h - 1. Determine -4*a(z) - m(z).\nAnswer: 25*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 8*l + 3*l + 172, 0 = -y - 4*l + 74. Let z = 66 + -33. Calculate the remainder when y is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 853.751 centimeters to micrometers.\nAnswer: 8537510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -286*l + 7. Let q = 13 + -9. Suppose -8 - 8 = q*n. Is r(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**6\/150 + 89*z**5\/75 - 37*z**4\/6 - 182*z**3\/5 + 6*z**2 - 339*z. Factor w(v).\nAnswer: 4*(v - 3)*(v + 1)*(v + 91)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 + 5*m + 2. Let g be k(-3). Suppose 0 = -g*a + 6 + 4. Suppose -4*q + 65 = -b, a*b - 4*b + 46 = 3*q. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -w + 12, 2*q = 3*w - 2*q + 16. Let g be w\/(0\/(-2) - -1). Are 2\/357 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.2637.\nAnswer: 0.13185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24\/(-1))\/(-6) + -2. Solve 2*u - u + o = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0060177 rounded to six decimal places?\nAnswer: -0.006018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/5)*(f*f**(-2\/7))\/f)\/(f*f**(-5\/6)*f**(3\/11))*(f*f**(-2\/7)\/f*f*f\/(f*(f*f*f*(f\/f**(-2\/3))\/f*f)\/f*f*f))**(-4\/39) assuming f is positive.\nAnswer: f**(577\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 5*k - 3. Let q be z(3). Suppose q*i - 13 = -u, -2*i + 5*u + 5 = 2. Let y(f) = 2*f + 1. Let g be y(2). Solve -i*v + 2 = -g*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -4*y**3\/3 + 3*y**2\/2 + 2. What is the second derivative of l(a) wrt a?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10001 - 12?\nAnswer: 2212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 1:08 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -2, 1\/6, -0.0584?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 4*l**2 - l - 1. Let i be r(-4). Suppose -4 = p + i*p. Let u be p + 0 - (-3 + -54). Calculate the greatest common divisor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 884 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 6:13 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134662.\nAnswer: 2, 11, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27.9999825 + -28. Round a to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12931724?\nAnswer: 2, 13, 431, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -5. Suppose 5*a = -15, -4*n = 3*a - 9 + 2. Suppose -n = m - 3*m. What is the nearest to d in -2\/3, -3, m?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 times -0.18\nAnswer: 1.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + -2.1. Let p = b + 13. What is the nearest to p in -5, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 7 = -j, 3*f = -3*j + 18 - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -392, 260, 561?\nAnswer: 260","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/(-12))\/(-5 + (-85)\/(-15)). Let b(m) = 8*m**3 - 2*m. Let d(y) = -33*y**3 + 9*y. Give k*d(o) - 9*b(o).\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 24. Let r(h) = h**2 + h - 6. Let z be r(3). Solve 14 = 3*d + 5*b, -z*d - 4*b + j = -3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**5\/60 - g**3\/3 + 42*g**2. Let x(y) = 2*y. Calculate p(x(r)).\nAnswer: 4*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.35 - 0.35. What is the third biggest value in -4, -0.3, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 - z**3 - 4*z**3)*(-2 - 5 + 0)*(z**2 - z**2 + 2*z**2).\nAnswer: 70*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 192894 at least as big as 192905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-5 - (-45905)\/3040) + -10 + 0 and -109\/10.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -t**8\/336 - t**4\/6 - t**2 - 3. Let h(a) be the second derivative of g(a). Find the second derivative of h(v) wrt v.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -13*o**2 + 2534*o - 21757. Give m(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19401301 to the nearest integer?\nAnswer: 4405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*99\/374*952\/588.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -6 - (-2 + 6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*t**3 - 18*t - 2*t**2 + 110*t + 10*t**3 + 19*t**4 - 20*t**3 to the form r*t**4 + o*t**2 + y*t + u*t**3 + a and give y.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -17, -3, -2 in ascending order.\nAnswer: -17, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*22\/44*2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 >= -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/11)\/d)\/((d\/((d**(3\/19)*d)\/d))\/d) assuming d is positive.\nAnswer: d**(-5\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 167479459 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 5*r = 7*p + 5, 0 = -2*r - 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 564 = x, -m + 2838 = 5*x + 3*m. List the prime factors of x.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-42)\/(-189) - (-76)\/(-99). Are -1 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3115350 (base 6) in base 2?\nAnswer: -100100101011110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 2 + -3 + 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l**2 - l**2 - l**2)*(-3 + 1 + 0) + 533*l + 17*l**2 - 533*l to o*l + k + r*l**2 and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-170)\/(-3))\/10*(13 - 0 - 10).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 20*g - 8. Determine m(-1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v**2 - 6*v. Let y(k) = 7*k**2. What is j(y(o))?\nAnswer: -196*o**4 - 42*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 4 + 2*d - 4)*(0 + 0 - 2*d**2)*(-45694 + 45694 - 297*d).\nAnswer: -594*d**5 + 1188*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -80, -216, -404, -644, -936, -1280?\nAnswer: -1676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450722 is divided by 56338.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of 19\/6*c**3 - 65 + 0*c**4 + 7\/120*c**6 - 2*c**2 + 1\/20*c**5 + 0*c. Find the third derivative of w(p) wrt p.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -2648 (c) 36 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 - 8987*y + 8987*y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 + 1536*u**3 + 3791613 - 2*u**4 - 3791614 + 238*u**3 in the form f*u + j*u**4 + n + d*u**3 + h*u**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 321 - 321.05. Sort 2, -5, k in increasing order.\nAnswer: -5, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*f + 140*f - 4363 + 996 + 48893 = 0 for f.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, m: 10}. What is prob of sequence nmm?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5781*n + 5786*n + 2*p = -19, -n + p = -6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -5*a**3\/6 - 20*a**2 + 1557*a + 1. Determine p(0).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-two fifths of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4))**9\/(y*y**(-3\/5)*y**1))**(4\/7) assuming y is positive.\nAnswer: y**(-73\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 416 and 28.\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 193, 318, 469, 652?\nAnswer: 873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 21 = -5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 1 + 2*p - p**3 + 9*p**4 + 4 - 4*p**3 to s*p**2 + j*p**3 + a*p + x + v*p**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 306, 1, -48, 0, 283 in increasing order.\nAnswer: -48, 0, 1, 283, 306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158122, -158124, -158126, -158128, -158130, -158132?\nAnswer: -158134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 0*p**2 - 258*p - p**2 - 2*p**2 + 261*p. Let h(c) = -2*c**2. What is h(d(l))?\nAnswer: -18*l**4 + 36*l**3 - 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 301, 314, 353, 430, 557, 746, 1009?\n\"Answer: 2*c**3 + c**2 - 4*c + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -1\/8*l**4 + 0*l**3 + 3*l**2 - 1\/60*l**5 + 0 + 0*l. What is the second derivative of o(g) wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-176)\/(-33))\/(2\/(-3)). Is (-10316)\/(t*(-2)\/(-12)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/4 (b) -4\/75 (c) -3 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -12*z**2 - 3*z - 6. Let u(i) = -2*i**2 + i - 1. Give g(n) - 5*u(n).\nAnswer: -2*n**2 - 8*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 170*i**5 + 45*i**3 - 179*i**5 - 84*i**3 - 3*i**5 + 2*i**5 + 3*i**5 + 3*i - 3*i + i**5 + (-i**5 + 3*i**5 - 4*i**5)*(3 - 1 - 3) - 7*i**5 + 2*i**5 + 4*i**5.\nAnswer: -5*i**5 - 39*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31915.1 - 31915.0328845. Let s = -7.6328005 - g. Let c = 7.7 + s. Round c to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444.5 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2. Suppose -5*x + 10 + 0 = 5*y, -2 = x. Let t(c) = 5*c - 4*c - y*c. Determine o(t(i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 13*k + 97. Let x be s(-7). Suppose -1865 = -x*z - 419. List the prime factors of z.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**13)**(-11))**(1\/28))**(-1\/24) assuming h is positive.\nAnswer: h**(143\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*b - 147049 - 11426567. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8103 - -16162. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30594 divided by -1?\nAnswer: -30594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64675 and 150856925.\nAnswer: 4975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 15 - 39. Suppose -2*y = y + r, 5*v = -5*y. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*r + 80. Suppose -5*v = -127 - 233. Let c = v + r. Calculate the greatest common divisor of 19 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248, 338, 334, 278, 212, 178, 218, 374?\nAnswer: 688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from bbbbhhchchbhcbhgbc?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11441 = -1497*o - 3956 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1919 is divided by 795.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 853 = 2*z + 889, 0 = -3*z + 3*h - 33. Put -6, 0, 11, -5, z in ascending order.\nAnswer: -6, -5, z, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 329 or -262?\nAnswer: 329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - 2*d + 1. Give w(7).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 2. Let k be z\/7 + 102\/42. Solve -k*p - 3 = -5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48722536 divided by -12180634.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 2)\/(-2 + 0). Suppose 4*s + 3*i + i - 28 = k, 0 = 3*i - 15. What is the units digit of (-7 - -10)*s\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 89*h + 1562. Give d(-23).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2. Let h = 2\/283 - -267\/2264. Let z(v) be the third derivative of 2*v**2 + 0*v + 0*v**3 + 0 - h*v**4. Determine z(q(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9033115 divided by 1806623?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 10 = -2, 12 = k + 2*c. Let i = -4 - -6. Let z = i + -2. Solve z = -0*p - p + 1, p = -q - k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1498155927?\nAnswer: 3, 101, 4944409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 9. Let q be 107\/w + 2\/(-7). Solve -h + q = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2697 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 424 + -422. What is the tens digit of (-62934)\/(-153)*(3\/a)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2151916 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 5*h + 10, 7*w - 6*w - 5*h = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1689*w - 3755*w + 385*w + 572688 = -403*w for w.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 45109, 45111, 45131, 45175, 45249, 45359, 45511?\n\"Answer: g**3 + 3*g**2 - 14*g + 45119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sywcsccwcscscsww. What is prob of sequence ssc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5, -3906, 107?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94116*o - 94116*o - 236*o**2 - 301*o**2.\nAnswer: -537*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7014172.\nAnswer: 2, 11, 23, 29, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/3)\/m)**22)**5 assuming m is positive.\nAnswer: m**(110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 + 63. Calculate the least common multiple of a and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z - 2. Let l be (-12 + 5)*(1 + -2). Let s be m(l). Suppose -4*x + 7 = -9. Calculate the highest common divisor of x and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 94\/15 and 17\/231 - 1 - (-8)\/(-28).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 307 - 424 = 0 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u + 4*l + 25, 111*u = 106*u - l - 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5106 is divided by 1670?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3168 and 792?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) - (sqrt(96) + sqrt(96) + sqrt(96)*-1)*5 - 5*sqrt(96)*1)\/(sqrt(80)\/(sqrt(10)*4) - (sqrt(64)\/sqrt(2) + sqrt(32))))**2.\nAnswer: 1728\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2, 3.\nAnswer: -10, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z - 3. Let c be t(-3). Let m(r) = -11 + c*r + r**2 - 6*r - 5*r + r. Calculate the smallest common multiple of m(9) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-762)\/7)\/(21\/147). Let s = c + 3859\/5. What is the common denominator of -77\/6 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-12) - 2\/(-8). Suppose 0*h - 5*h - 29500 = n. What is h rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18\/131 - 260\/3799. Let c(s) = -17*s + 46. Let o be c(3). What is the nearest to -0.1 in -0.5, o, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 20 = -3*x. Let c(q) = -3*q + 50. Let u be c(15). Suppose 3*g + 2*w - 4869 = 0, 0*w = -x*g - u*w + 6499. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -12. What is the highest common factor of g and 876?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 4. Let d = 0 - s. Solve 0*k + 4*k + 20 = 4*r, d = -3*k + 5*r - 23 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73427 is divided by 765?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/7)*((((n**(-16\/7)*n*n*n)\/n)\/n*n)\/n)\/n)**17 assuming n is positive.\nAnswer: n**(-289\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*f + 159*f - 7*f**2 - 947 - 426 with respect to f.\nAnswer: -14*f + 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11\/26 - 10\/39. Let a(z) be the third derivative of -1\/6*z**3 - l*z**4 + 0*z + 0 + 13*z**2. What is the first derivative of a(q) wrt q?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1289, 1292, 1293, 1292, 1289, 1284?\n\"Answer: -u**2 + 6*u + 1284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 6*j + 17. Let r be x(-7). Let l be (3\/(-129))\/((-65)\/r - 3). Which is bigger: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3835*-78\nAnswer: 299130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 7*z + 45 = 5*c, 3*z - 10 = c. Suppose -c*v + 1164 = -3*a + a, a + 930 = 4*v. Is v a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 3 - (32\/14 + (-46)\/161)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(3) + 2)*2 - sqrt(3)))**2.\nAnswer: -2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -331, -300, -249, -172, -63, 84, 275?\nAnswer: 516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68878 by -6151.\nAnswer: 68878\/6151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 4. Suppose 0 = 7*f - x - 3. Find the third derivative of -16*k**6 + 2*k**6 + 8*k**6 + k**f wrt k.\nAnswer: -720*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 39*g - 13. Let i(q) = 19*q - 6. Let z(n) = -13*i(n) + 6*l(n). Let y(a) = a + 2. Let k(t) = 5*t + 11. Let w(r) = -4*k(r) + 22*y(r). Calculate w(z(u)).\nAnswer: -26*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**3 + 3540*m - 3540*m.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45059*11.\nAnswer: 495649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4798 and -28.\nAnswer: 134344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*-1*(-1)\/(-1). Let m = 20650 + -371603\/18. What is the common denominator of m and s\/6 - 2\/(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l**3 + l**2 - 5*l - 6. Let j be a(2). Solve 3*u = -2*s + 20, 2*u = -s - 2*u + j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -37\/24 + 15\/8. Let s(b) be the third derivative of -1\/15*b**5 - b**2 + 1\/105*b**7 + 1\/168*b**8 + 1\/12*b**4 - 1\/30*b**6 + d*b**3 + 0*b + 0. Factor s(z).\nAnswer: 2*(z - 1)**2*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 - (18 + 35 - 47)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z + 1. Let p(l) = 5*l + 2. Let u be 8\/(-6) + (-629)\/(-51). What is u*x(h) - 6*p(h)?\nAnswer: 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-12)*(-45)\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 - 1. List the prime factors of v.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19993087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 1\/180*a**6 + 5\/36*a**4 + 4\/45*a**5 + 2*a + 0*a**2 - 1\/6*a**3 + 0. Let c(g) be the second derivative of s(g). Factor c(w).\nAnswer: 2*(w + 5)*(3*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (0 - 4 - (11 - (-3 + 12)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 - 14. Let t = 8 - p. Let g(j) = j + 1. Let m(o) = -o**2 - 7*o - 2. Let y(v) = -g(v) - m(v). What is y(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -5, -10 in decreasing order.\nAnswer: 3, 1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from ooqqwoq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 336500 rounded to the nearest ten thousand?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -5, 0.15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*k - 32 = 160*k. Let s be (5\/3)\/(2\/6). Solve -4*y - y + 36 = 4*t, -s*y + t = -k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 323254 by 89.\nAnswer: 323254\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 51 in 4, 6, -3, 6\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 753000 to the nearest 10000.\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -34781.5\nAnswer: 347.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (854\/21)\/(2096\/(-3144)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j. Let s(n) be the first derivative of n**5\/24 - n**3 + 13. Let h(t) be the third derivative of s(t). Give k(h(p)).\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71569\/30 - 2386. What is the common denominator of y and 56\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -872*j + 729*j + 767*j + 2 + 120*j to p*j + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28252 - 27569. What is the remainder when 2745 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/261 and -23\/6910.\nAnswer: 1803510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/9332 and 23\/1968?\nAnswer: 4591344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5}. What is prob of picking 3 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 139.5 - 148. Let j = a + 9.5. Let p = -4.07 + 0.07. What is the third smallest value in p, j, -1\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (89 + -79 - (0 + 1)) + 5 + -11 + -37\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 133 - 139. Let g = -67 - n. Let f = g + 69. Calculate the greatest common factor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 0.11, 3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 100) + 19 + 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 = -5*g + 1056. Suppose -2*i + g = 3*a, -a - i + 79 = 3*i. List the prime factors of a.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/714)\/((-4)\/24).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q + 121. Determine x(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 111872 + -15?\nAnswer: 111858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 23. Let o be (-2)\/(0\/(-2) + -1). Is 12 a factor of o + n - 10\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 3:26 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 4*w**2 - 9*w + 38. What is z(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + 56 + 16 + 0*j + 19 + 27 to the form b*j + q and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + 17512?\nAnswer: 17519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-21)\/6 - -4)\/((-3)\/(-18)). Let s = j - -4. Suppose s*q - 34 = 757. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 3 + 52*r - 5 - 26*r - 27*r. Let d(t) = t**3 + 6*t**2 - 8*t - 7. Let u be d(-7). Determine z(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 3*c + 25 - 4*c.\nAnswer: -c + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (9\/3 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3 + 1 - 4*x**2 + (-4 + 3 + 0)*(-3*x**2 + 0*x**2 + 2*x**2) - 24*x + 24*x + 18*x**2.\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -50, -114, -210, -344, -522?\n\"Answer: -g**3 - 10*g**2 - 27*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 6 = 4*a + 4*o, -2*a = -5*o - 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 5\/7, -0.4, 0.052, -1\/4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 26*l**2 - 2*l + 60. Let x be i(26). Let m(a) = 86*a - 52. What is the units digit of m(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -251 - -442. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 494 (b) 0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6*q**3 + 11*q**2 - 10*q. Let i(g) = -2*g**3 + 4*g**2 - 3*g. Let n(j) = 11*i(j) - 4*l(j). What is the second derivative of n(m) wrt m?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -116\/189 or 5614?\nAnswer: -116\/189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 21412, 21410, 21408, 21406, 21404, 21402?\n\"Answer: -2*l + 21414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**3 + 3*f**3 + 0*f**3)*(-4 + 7 + 21 + (-1 + 1 - 1)*(-6 + 3 + 2) - 1 + 2 + 1) to z*f**3 + m*f + q*f**2 + c and give z.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 512 and 131480192?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 22971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3058)\/759 + 4)*(5 + -2)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96881, 387630, 872213, 1550630, 2422881, 3488966, 4748885?\nAnswer: 6202638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*l = -9*g - 10, 3*g = 5*l + 25. Suppose b - 9 = -g*h + h, 0 = 3*b + 3*h + 3. Let x = 13 - 90\/7. What is the third smallest value in x, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 24.05. Let n = 0 + v. Let b = n - 0.049955. Round b to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/375 - -1474\/4875. Let n = j - -14\/39. Let m(d) = -d**3 + d**2 + 6*d - 5. Let f be m(3). What is the third biggest value in f, -1\/3, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 369 (b) -9\/2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149423, -298846, -448269, -597692, -747115, -896538?\nAnswer: -1045961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -7\/40*v**4 + 0 + 3\/100*v**6 + 1\/50*v**5 + 3\/10*v**3 - 1\/70*v**7 + 1\/560*v**8 - 32*v**2 + 0*v. Factor k(z).\nAnswer: 3*(z - 3)*(z - 1)**3*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*r + 3 + 11, 2*r + m - 8 = 0. Let o be r\/51*-3 - (-1 - -1). Let l = -1.8 - -2. What is the nearest to 0.1 in l, o, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 15, r: 5}. What is prob of sequence dr?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*h + 7, -2*q + 5*h - 9 = -2. Suppose -6*l + 600 = q*l. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 3*k**5\/10 - k**3\/6 + 16*k**2. What is l(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*d**6 - 502510*d**4 - 140*d**2 - 435*d + 1 wrt d?\nAnswer: 600*d**3 - 12060240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 821999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 141\/45 - 56\/(-105)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 12. Let i = 7 - h. What is the biggest value in 1\/2, 2\/13, i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/5))**4*k*k*(k*k**(-11)\/k)\/k*k*k*k**(3\/10)\/k assuming k is positive.\nAnswer: k**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1817.9629?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 7*z + 11. Let h be p(-8). Let m be h - (-4 - -2 - -4). Suppose -2*s = m - 11. Calculate the remainder when 8 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*k - 10. Which is the closest to 0? (a) -2\/3 (b) k (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 4\/8 + (-105)\/(-6).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 2 + -6 + 13 + 19 + -36?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 4. Let v be 6\/9 + g\/3. Suppose -6*w + w - 3350 = v. What is w rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -1.1. Let h be (-16)\/9 + (-6)\/(-3). Let f = -17\/32 - -1\/32. What is the nearest to f in h, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 21 = -4*g - k, 3*g - 44 = 2*k. Let j be 266\/(-12) - 4\/g. Let x = -23 - j. Is -1 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23551 (base 6) to base 15\nAnswer: -1051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -6 (c) 0.1 (d) 9.794 (e) 0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 67 - i**2 + 25*i**3 - 19*i**3 - 65 + i. Does 48 divide g(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 4*h = -6, -2*d + 4*h + 11 = 3*h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -191, -195, -201, -209, -219?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2857 take away 95441569?\nAnswer: -95438712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 - 45. What is the remainder when k is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 8*s**2 - 6*s - 6. Let d be h(7). List the prime factors of d*5*(6 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*u + 3039991, 5*u - 9*y = -8*y - 3039997. What is u rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 652 - 633. Is 58\/3 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 6*z + 1. Let d be l(7). Let g = 6 + d. Let u(s) = s**2 - 1 - s + 1. Give u(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -343143.6 rounded to the nearest 100?\nAnswer: -343100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-10)*d**(-7))\/(d*d**(5\/4))**(12\/17))**(-9\/5) assuming d is positive.\nAnswer: d**(2844\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 9673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.08 (b) 5 (c) -0.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -7 - (9 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(1\/8)*c\/(c*c**10)*(c*(c*c**(-6\/5)*c)\/c*c)\/c*c**9 assuming c is positive.\nAnswer: c**(27\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g - 2. Let h be s(1). Suppose -3*k + 17 = -4*m, 4*k + 2*m + h = 11. Solve 0 - 2\/11*d**k - 4\/11*d - 6\/11*d**2 = 0 for d.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 - -1299124?\nAnswer: 1299109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8034142 a multiple of 399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12358\/5 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 273727, 273796, 273873, 273964, 274075, 274212?\nAnswer: 274381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -18*j + 48 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*c + 527 + 301 = 297*c for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + z - 4*z. Let g(v) = -v**2 + 3. Let n(m) = -m**2 + 4. Let x be 6*1\/8*-4. Let c(f) = x*n(f) + 4*g(f). Determine c(d(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.85108944878 and -1.45.\nAnswer: -0.59891055122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of z**5 + 2*z**4 + 2379*z**3 + 126*z**2 + 60*z wrt z.\nAnswer: 60*z**2 + 48*z + 14274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 116696950683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwwwywwwwi. What is prob of picking 1 w and 1 i?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i**2 + 222296732*i - 222296732*i.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 3:43 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4476365?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 11:09 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270640 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -161\/6 + 26. Let s = -11\/9 + 10\/9. Let d = -293 - -292. Which is the biggest value? (a) s (b) d (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 16*u = -18*u + 26, u = 120*v - 1681 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*k + 154*k + 3*g - 16 = 0, 9*g = -2*k - 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4699)\/(-254))\/(1\/4). Calculate the highest common factor of b and 666.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84*g**5 + 19*g**5 + 31*g**5)*(7 + 25 - 1 + (-4 + 5 - 3)*(-1 - 2 + 2)).\nAnswer: 4422*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3581873 > 3581873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282963 is divided by 529.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 2748.\nAnswer: 2748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2780.7 and 5.\nAnswer: 13903.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 - s + s + (3*s + 9*s - 3*s)*(58*s**2 - 5*s**3 - 58*s**2) + 0*s**4 - s**4 + 3*s**4.\nAnswer: -45*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2. Let h(q) = 1013985*q**2. Give l(h(k)).\nAnswer: 1028165580225*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**5 + h**5 - 2*h**5)*(1 + 3 - 3)*(7760 + 7730 - 14582).\nAnswer: 1816*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79020 by 90.\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8c3740 (base 14) in base 15?\nAnswer: -644464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 4:27 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/5508 and 41\/9639.\nAnswer: 38556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/2)\/(-3)*-46. Does 23 divide 4\/(-1 + (-50)\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2 + 5*t**2 - 3 - 4*t**2 - 3. Let k be (4 + -2)*(-2)\/(-4). Let h = -14 - -8. Let o(q) = q**2 - 1. Calculate h*o(u) + k*b(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 77738535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*c + 30*c = -6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 2. Let s be (0\/(-2) - 2)\/(-1). Let l(w) = 3*w + s - 6*w + 2*w. Let u(v) = -4*l(v) + 5*t(v). Find the first derivative of u(o) wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 5*w + 30 = -5*h, -5*w = -2*h + 50. Let b = 2 - 0. Calculate the remainder when -2*1 - (-82)\/b is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a tonne in kilograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 8*q**2 - 10*q + 1. Let k be x(-9). Suppose -850 = -3*y + 5*w - k*w, 3*y = 2*w + 857. What are the prime factors of y?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(171))*-5 + -2 - (sqrt(171) + -2 + -3*sqrt(76)))**2.\nAnswer: 120*sqrt(19) + 2761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 - -64. Suppose 2*l + 12 = f*l. Calculate the greatest common factor of l and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(0 + 1 - 3). Let i(u) = -9*u**2 + 4*u**3 + 3*u**2 - 5*u**3 - 4 - 3*u. What is the remainder when i(r) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 471 a factor of 63136608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 4*l**4\/3 - 5*l**3\/6 - 179*l**2\/2 - 86*l. What is the first derivative of j(r) wrt r?\nAnswer: 32*r - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*p - 218 - 1526 = 0, -2*p = 2*s + 886. Let r = -310 - s. Suppose -6*g + 165 + r = 0. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/((-1)\/(-1)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6145 by 1229.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554736359?\nAnswer: 554736359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -409 and -409 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.68 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -23. Let y(m) = 7*m + 1 + 3*m + c. What is y(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -5, -19, 2 in increasing order.\nAnswer: -19, -5, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 203744 and 15751958.\nAnswer: 252031328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87022.\nAnswer: 2, 13, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + (-9 + 29 - 21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.69 - 0.21. Let o = 1.1 - t. What is the smallest value in -3, o, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57884861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**2 + 906*z - 4423. Determine y(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/6 - ((-14288)\/6)\/4. Let d = -29 - -34. Suppose a = 5*y + 2*s, y - 610 = -4*y + d*s. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.24 - 2.24. Which is the second biggest value? (a) 1 (b) h (c) -1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -34*o - 1472. What is z(-41)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 + 5)*(-1 - 3 + 2 + (3 - 1 + 0)*(-4 + 3 + 0) - 3 + 3 - 1)*(-5*a**4 - a**4 - 4*a**4) in the form c*a**4 + s + z*a**3 + b*a + q*a**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*i**3 - 1 + 9*i + 21*i**3 - 9*i**3 + 0*i**4 - 2*i**4 + i**2 as h*i**4 + k*i + j*i**2 + u + v*i**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32657787 and 36.\nAnswer: 130631148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 60 * -3\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uluuuuvuuvymuyyuuuu. Give prob of sequence uulu.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*w + 1340, -w + 3*b = -0*w - 350. Find the first derivative of -5*y**4 - w + 345 - 6*y**4 wrt y.\nAnswer: -44*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 123592*y**5 + 10*y**2 - 5421*y wrt y.\nAnswer: 7415520*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 23*u - 60. Calculate q(-6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 27. Let s = r - -25. Solve 0 = 3*c - 0*c + s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2 - 922*m - 212521 = 0 for m.\nAnswer: -461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 32*i - 74. Let f be l(-28). What is the greatest common divisor of 418 and f?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16425?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68346 and 125301.\nAnswer: 751806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 3\/(3\/2). Let f = 5 - b. Let i = -36 - -53. What is the remainder when i is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.527 and 22537.\nAnswer: 56950.999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -3.45\nAnswer: 2.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - 5. Let x = -15 - q. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -792 + 804. Solve 6 = -2*q + x - 5, p = 4*x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 266*z - 1036. What is the units digit of k(-70)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/234 and 62\/117?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25638631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 328, 267, 166, 19, -180, -437?\n\"Answer: -i**3 - 14*i**2 - 12*i + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 2\/11*h**2 + 2 + 1\/66*h**4 - 2*h + 1\/11*h**3. Let s(a) be the first derivative of d(a). Factor s(b).\nAnswer: 2*(b + 1)*(b + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**3\/3 + 5*h**2\/2 - 4*h - 3. Let n be a(3). Suppose -n*q + 5*q - 11 = 5*j, -2*q = -4*j - 8. Solve q = 3*w - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16275597 rounded to 4 dps?\nAnswer: 0.1628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 7784?\nAnswer: 7782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 15) in base 16?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 15*m**2 + 19*m - 23. Let x be y(14). Let j = x - 45. Suppose 7*i - 7 = 4*v + j*i, 4*i - 8 = 2*v. Solve -3 = v*f - f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000c42 (base 15) in base 12?\nAnswer: -399548b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95127 and 4753779?\nAnswer: 2571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -38383, -76763, -115143, -153523, -191903?\n\"Answer: -38380*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4\/4 + 160*p**3 - 38400*p**2 + 4096000*p - 163840000 = 0. Calculate p.\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 734451?\nAnswer: 3, 17, 14401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/2 - 5\/(-10)) + (-83 - -76).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 5*w + 4. Let q be y(5). Suppose 2*h - q*z = -28, -5*z = 3*h - h - 8. Let l = 15 + h. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 3*w**2 + 0*w**2)*(2*w**3 + 2 - 2) - 2*w**2 - w**5 + 2*w**2 + 0*w**5 + 3*w**5 - 4*w**5 + (2*w**4 - w**4 - 3*w**4)*(3*w - 2*w + 0*w).\nAnswer: -6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 5120.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*(2 + -1 + (((sqrt(189) - sqrt(189)*2 - sqrt(189))\/sqrt(9) + sqrt(21))\/sqrt(7) - (3*sqrt(9)\/sqrt(3))**2*4)).\nAnswer: -323 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4654)\/(-34) + (-20)\/(-170) is divided by (560\/(-168))\/((-46)\/42 + 1).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 13*u + 943. Calculate g(-72).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23.77 - -23.9. Let r = 0.129512 - a. Round r to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 + 1490*o - 3*o**2 - 1496*o.\nAnswer: -8*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -10*s - 12. Let a(d) = d. Let r = 149 - 148. Let f(h) = -7*h - 2. What is r*f(t) + s*a(t)?\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(152)*1)\/sqrt(8) - ((2 + sqrt(19))*2 - sqrt(19))*3.\nAnswer: -6*sqrt(19) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -3 (b) -85 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z\/(z*z*(z*z\/z**6)\/z))\/z*z\/z**(6\/5))\/(z**(-4)\/z*z\/(z**5*z)))**(-1\/3) assuming z is positive.\nAnswer: z**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 7004.\nAnswer: 77044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4)*-4 + -568. Round t to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 2*k + 5. Let p(o) = 2*o**2 - 2*o + 5. Suppose 2*u - 4*x + 22 = 0, 3*u + 3*x + 9 = x. Determine u*p(y) + 6*w(y).\nAnswer: 2*y**2 - 2*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 61?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h**3 + 7*h**2 - 7*h + 4. Let f be 4\/(-18) + (-2080)\/(-288). Let b(n) = 2*n**3 - 4*n**2 + 4*n - 2. Determine f*b(w) + 4*c(w).\nAnswer: -2*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/37? (a) 2\/17 (b) 0.2 (c) -3\/8 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*b**2 + 8 + 18*b**2 + 11*b**2 - 8.\nAnswer: 89*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 5:40 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(228) - (sqrt(228)*1 - sqrt(228))*-5 - (sqrt(228) - (sqrt(228) + (sqrt(228)*-3 - sqrt(228)))*-2))\/(3*sqrt(120)\/(sqrt(30)\/(sqrt(12)\/sqrt(4)))).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5) + 7 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.4 and -0.8.\nAnswer: 3.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36 - 21*g + 36)*(0 - 3 + 2)*(2*g - 2*g - 2*g + (-1 + 3 + 0)*(-g - 3*g + 6*g) - 4*g + 3*g - 6*g) in the form d*g + x*g**2 + k and give x.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-12))\/m)\/((m**(5\/8)\/m*m)\/m*m) assuming m is positive.\nAnswer: m**(-101\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*v - 25*v + 51 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110248953.\nAnswer: 3, 36749651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6343, 6697, 7051, 7405, 7759?\nAnswer: 8113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*sqrt(325))**2 + sqrt(325).\nAnswer: 5*sqrt(13) + 5203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2\/17 - 151957172*k\/17 - 151957174\/17 = 0.\nAnswer: -1, 75978587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - q**2 - q. Let h(c) = 645 - 631 + c + 0*c. Let v be h(-4). Let o(x) = -7*x**3 + 11*x**2 + x. Let r(t) = v*n(t) + 2*o(t). Factor r(k).\nAnswer: -4*k*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 84*s**2 - 553*s - 132926 wrt s.\nAnswer: 168*s - 553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2778, -5558, -8338, -11118, -13898?\n\"Answer: -2780*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -15. What is the tens digit of ((-380)\/t)\/4*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109259 - -26125. Let u = o + 616. Round u to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 9\/4 (c) -3195 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(76) + -1*sqrt(76) + -3)*-3 + (4 + -2*sqrt(76) - 5*(-1 + sqrt(76))))*-6)**2.\nAnswer: 9072*sqrt(19) + 136980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -544*h + 268*h + 272*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 - 55. Let i = 12 - 17. What is the nearest to u in -4, i, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 10*i - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 261917\/30 - 8727. Find the common denominator of p and -59\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 522307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 + 89*p**2 - 3561*p + 558. Give s(-70).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 8*i - 7*i)*(-4 + 3 + 3)*(29 - 12 + 22).\nAnswer: 78*i + 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 446091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/30 in -0.2, 0.19, -5, -0.4?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 433*a + 444*a + 1 - 678*a as j*a + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 77828243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.9874 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -101*h**4\/4 + 2*h**3\/3 - h**2\/2 - 840. Calculate d(1).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -8*f**2 - 210*f + 70. Let b(p) = -14*p**2 - 420*p + 114. Give -3*b(a) + 5*u(a).\nAnswer: 2*a**2 + 210*a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 89, 2, -12, -1.\nAnswer: -12, -1, 2, 3, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92643656 is divided by 1335?\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 4*y = 4. Let a(i) = -2*i**2 - i + 1. Let d be a(-1). Suppose b - y*b - 2 = d, 0 = -2*v + 4*b + 62. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.12663 or 5?\nAnswer: -0.12663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.4 + -3. Let r be (0 + 2 - 9)*7\/7. What is the nearest to r in 4, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -1\/2 (c) 1\/4 (d) 4\/103\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + n - 1. Suppose 2*l - i + 66 + 39 = 0, -i - 48 = l. Let p = -52 - l. Let h(m) = -2*m**3 + 4*m**2 - 5*m + 3. Give p*h(k) - 4*f(k).\nAnswer: 2*k**3 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-11 + -54) - (142 - 143)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -3*b**2\/2 - 2. Let g(k) = 14276 - 14276 + 2*k**2. Give g(u(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 295121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/754 and 71\/20?\nAnswer: 7540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (27 - 32) + (-1 - 0) + -64 + 10.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 2*d**4\/3 + 522*d. Let r(p) = -1 + 1 + p. Determine n(r(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8958950 and 2548?\nAnswer: 125425300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59728593 and 15684.\nAnswer: 3921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -73488733 and -0.2.\nAnswer: 14697746.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2 + 142\/284.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 + -39 + (14 - 1845\/75)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k = 17*k - 26. Suppose -2*i = -6, k + 4 = 2*v + 3*i. Calculate the remainder when 7 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2750 by 55.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand x - x - 2*x**5 + (0 + x**3 + 0)*(0 - x**2 + 0) + 4*x**5 - 4*x**5 + x**5 + 6*x**5 - 2*x**5 - 3*x**5 + (-4*x**2 + 4*x**2 + x**5)*(8 + 0 + 0).\nAnswer: 7*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 10:53 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a + 28 = 3*z, 37 = 4*z + a. What is the remainder when 24 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q - 2. Let r be h(-4). Suppose 66 - r = 3*a. Calculate the remainder when 77 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r + 2. Let k be m(2). Let f be 13650 + -3 + k + -2. Suppose f = 2*y + 651. What is y rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 450 and 122032470?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 4. Suppose 2 + 4 = 2*i. Let b be c(i). Suppose -9 = -b*x + 3*j, x = j - 0 + 1. Solve 1 - x = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 2\/3 (c) 1\/23 (d) 7 (e) 0.22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59448161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28.552968 + -24.553. Let q = 4 - t. Round q to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 34a7?\nAnswer: -34ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, v: 4, t: 3, p: 5}. What is prob of sequence pwvp?\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 350892 and 198?\nAnswer: 3859812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, 22, -0.041, -40 in ascending order.\nAnswer: -40, -4, -0.3, -0.041, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1800\/5610)\/(444\/(-2442))\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 4*c**2 - 4*c**2)*(5 - 7 + 22) + (c - 2*c - c)*(-c + 2 - 2).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/22)\/((-10)\/55)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-378)\/(-324)*1\/(-7)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -e (base 16) to base 15\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/9*(-46)\/(-4). Let s = -26 + w. Sort 1, s, -5.\nAnswer: -5, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*y + 32*y - 10. Suppose 0 = o + o - 3*t - 56, -y*o = -2*t - 52. Calculate the least common multiple of o and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.33 times -111.8?\nAnswer: 148.694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**1\/b)\/b)**(-2\/47)*b\/(b\/((b*(b*b**(-8))\/b)\/b))*b*b*b**(1\/6))**(-1\/24) assuming b is positive.\nAnswer: b**(1633\/6768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**7\/2520 - n**6\/240 - n**5\/120 + n**4\/24 + 5*n**2. Let u(c) be the second derivative of t(c). Determine u(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - v + 4. Suppose 3*l = -3*x + 24, 5*x - v*l - 24 = l. Suppose 3*u + x = 27. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3587, 3586, 3585, 3584, 3583, 3582?\nAnswer: 3581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 19541*w + 117197. Determine k(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 8 = -5*b, 0 = 3*c - b - 2*b - 114. Suppose -5*o + c + 42 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 m when four letters picked without replacement from umuummuumuumumuuuuu.\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38631176263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2 = -5*i - 13, 5*i + 10 = 0. Suppose 5*j = -2*k - 89, h*k + 41*j + 238 = 44*j. Which is bigger: k or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 10:44 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36.1 + -20.2. Let m = g + -16. What is the second biggest value in -4, m, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 17 + -22 + 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 28*p**5 - 576631*p**4 + 2970498396*p**3 - 17696230096*p**2 - 847978544*p + 1271597232 = 0.\nAnswer: -2\/7, 1\/4, 6, 10294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*y - 216 = 0. Calculate the smallest common multiple of y\/(-36) - 87\/(-12) and 49.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213.79 - -0.81?\nAnswer: 214.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29016 = -7*r - 11*r. Is r a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, 4, 0 in descending order.\nAnswer: 4, 0, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484213554?\nAnswer: 2, 3, 11, 2445523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjj when three letters picked without replacement from {z: 14, j: 5}.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 6*m - 6. Let f = -21 - -28. Determine g(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -22209.460262.\nAnswer: 22209.260262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3\/7)*b*b)**(-4))**(-18) assuming b is positive.\nAnswer: b**(792\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g\/(g\/(g\/g**10)))\/g))\/g**(-14) assuming g is positive.\nAnswer: g**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 564 + 904 = -82*a - 90 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1256 + -11290\/9. Suppose 8 = -14*g + 18*g. Factor 4\/9*v**g + s*v + 2\/3.\nAnswer: 2*(v + 3)*(2*v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2102 is divided by 104?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from hcymfywh?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(1\/3)\/b)\/b)**(16\/7)\/(b\/b**(1\/3)*b*b)**20)\/(b**4*b**(4\/5))**(-1\/14) assuming b is positive.\nAnswer: b**(-284\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -16) + -2 - (-3 + -1 + -24).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + 893805041?\nAnswer: 893805041.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1470 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 14*l**2 + 9*l + 53. Let z be x(-17). Is -968 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83 + 1318. Suppose -236 = 9*v - u. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-21)\/6 - -1)*(-4)\/(-2). Let y(x) = 2*x**3 + 8*x**2 - 11*x + 1. Let o be y(g). What is the greatest common divisor of 21 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 5*o + 12. What is the least common multiple of b(6) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - r. Let l(p) be the first derivative of -p**3\/3 - 2*p**2 + 2*p - 1. Suppose 0*z = -4*z - 3*t + 20, -2*z + t = 0. Give z*v(u) - l(u).\nAnswer: -u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-14)*(-7)\/(-70)*0)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 + 36295166*y - 329334768741889.\nAnswer: -(y - 18147583)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27829 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: Which is bigger: 30\/7 or 811.47?\nAnswer: 811.47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*m = -m - 27, -2*m + 6 = -2*l. Let r(g) = -g - 3. Determine r(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 292017 and 75.\nAnswer: 292092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 915944437, 915944435, 915944433, 915944431?\nAnswer: 915944429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-510)*-4)\/(2\/10)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*n**4 + 764*n**3 - 1612*n**2 + 1012*n - 144 = 0. Calculate n.\nAnswer: 1\/5, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/7)\/o)\/(o*o*o\/(o*o**(-6))))\/(o**0)**(-4\/27))\/((o**0)**15\/(o**(1\/9)*o*o\/(o*o*o**(-3)*o))) assuming o is positive.\nAnswer: o**(-452\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -157664704 divided by 2463511\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6477011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-5\/6)*x\/x**(-2\/19))\/(x**(3\/10)\/x*x*x\/((x\/((x**(4\/5)*x)\/x*x))\/x)) assuming x is positive.\nAnswer: x**(239\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p. Let u(d) = -28*d + 42. Give u(v(n)).\nAnswer: 84*n + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1945608 + -1945718.8941. Let j = -0.1941 - w. Round j to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 78 - 2\/3*f + 7\/15*f**5 + 5\/3*f**3 + 19\/12*f**4 + 1\/6*f**2. Find j such that m(j) = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and 1.8083.\nAnswer: 19.8913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 10:32 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786276874 a multiple of 4313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3440*k + 3441*k + 1 + 64*k**2 + 0 as t*k**2 + w + m*k and give t.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 447, -31 in ascending order.\nAnswer: -31, -5, 2, 447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -463288, -463175, -463072, -462985, -462920, -462883, -462880, -462917?\nAnswer: -463000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 303946?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {x: 13, q: 6}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 43. Let c(x) = j - 3 + x**3 + 3 + x - 2*x + 5*x**2. What is c(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 0*z**4 - 1\/5*z**5 - 7\/2*z**2 + 16*z + 0*z**3 - 89. What is the first derivative of v(n) wrt n?\nAnswer: -4*n**3 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + sqrt(153))**2 + sqrt(153) - sqrt(153) - sqrt(153).\nAnswer: -9*sqrt(17) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 x when three letters picked without replacement from eexexeeeeeee?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 8*x - 2. Let i be q(-7). Suppose -i*v = -26 + 26. What is the tens digit of (v - (-10 - 0))*9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3 = -9. Solve 4*o - o = -2*f + j, 5*o + 5 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykkkkkkkkkkkk. What is prob of picking 3 k?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4633*m**2 + m + 1069.\nAnswer: 9266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5724.163 micrograms in tonnes?\nAnswer: 0.000000005724163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 21 = -19. Let q = p + 27. Let y be (-12 + q)\/((-10)\/12). Do y and 7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -9*d + 11*d. Let n be 2\/d*2494 + (-2)\/7. Suppose -274 = -5*b + n. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/6 (b) -5 (c) -3.43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 13*w + 65. Let g be s(17). Let j(i) be the third derivative of -i**5\/60 - 5*i**4\/24 - 2*i**3\/3 + 12*i**2 - 5. Determine j(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 11:47 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -28, -2269 = 1720*v - 1721*v + k. Calculate the highest common factor of v and 312.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/18612 and -53\/12408?\nAnswer: 37224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*k - 6, -2*k - 7 = 2*d + d. What is the second derivative of -1 + 75*c - 82*c + k - 16*c**4 wrt c?\nAnswer: -192*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15*(-9)\/27 + -1 + -1. Which is the closest to 1? (a) -0.1 (b) k (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13044 is divided by 2553?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 516814781 to the power of 1\/2, to the nearest integer?\nAnswer: 22734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 368)*(-1140)\/16488. Let b = a + -3\/229. What is the common denominator of b and -67\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -103, 1, -9, 3, 22.\nAnswer: -103, -9, 1, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 1.9. Let d = w - 0.18. Let r = d - 1. Round r to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3. Suppose -3*c + 114 = -4*j, 5*c + 5*j = 31 + 124. Let y(k) = -c + 161 - 39 - 36 - k - 46. Calculate -5*m(b) - 2*y(b).\nAnswer: 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2458951107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-24))\/(((-63)\/8)\/(-18*32\/384))\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-38)*i*i*i\/(i*i*i*i**(-2\/51)) assuming i is positive.\nAnswer: i**(-1885\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5266337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**4\/12 + 7*l**3\/6 - 5*l. Find the common denominator of p(6) and -12\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2008, 3726, 5444?\nAnswer: 7162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 213, 85, -62 in descending order.\nAnswer: 213, 85, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 - 0.35. Let d = -0.7 + -0.3. Let v = d + 1.1. What is the closest to 0.1 in t, 2\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 421595?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/57 - 4\/(-228)*32.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 2827896?\nAnswer: 2827896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**5 + 66*q**4 + 207*q**3 - 1716*q**2 + 2028*q.\nAnswer: 3*q*(q - 2)**2*(q + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*g - 186 = -50. Sort g, 107\/4, 0 in decreasing order.\nAnswer: 107\/4, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 150 = -11*r. Suppose -4*x = -y + 6, -5*y + r = -2*x + 7*x. Solve y = 2*z - 0*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10425*g**3*l**3 - g**3*s + 31*g**2*l**2*s**3 - 2*g**2*l*s + 2*l**3*s**3 + l**2*s**3 - 12*s wrt l?\nAnswer: 62550*g**3 + 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 + 5*f**3 + 2*f**3 - 6*f**3 - f**2.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-1)\/(-1)*0. Solve n - 1 - 4 = g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - r - 23 + 14, 5*y + r = 0. Let c = 1166\/85 - 68\/5. Let s = c + 43\/68. Which is greater: s or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -29. Suppose 424 + 301 = 2*o + 3*x, u*x - 1802 = -5*o. List the prime factors of o.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-130) - 2\/(-13). Suppose m = 51*j - 46*j - 4645. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h + 4*l = 26*h + 996, -h = -3*l - 371. Let f(s) = s**2 - 5*s - 7. Let q be f(-5). What is the greatest common divisor of h and q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 7*j = -3*n + 6379, 10633 = 5*n + 2*j. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1902381 to the nearest 1000.\nAnswer: -1902000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 5:28 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1 - (-28 + 25).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3304.86 * -0.19\nAnswer: -627.9234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (13 + (-30 - -15)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-171)\/(-2) + 5\/(-10). Let a be ((-4)\/i)\/((-4)\/(-10)). Suppose 0 = 8*r - 2 - 6. Is r > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c8 - -372e?\nAnswer: 3566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 11 = 31. Is (2\/u)\/(2\/(-52)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3031.77 take away 5.118?\nAnswer: 3026.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.673 + -0.434. Let n = p + -20.439. What is n rounded to zero decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38604*j**4 + 90*j + 115 wrt j.\nAnswer: -463248*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.6 (b) 0.3 (c) -38 (d) 17 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -31, -20 in decreasing order.\nAnswer: 2, -20, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18434\/23 - -294829\/368. Suppose 4*n - 8 = 0, -7 = -l - 5*n - 0*n. Let z be 1\/(-3) + (-4)\/l. Is z at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(8) - sqrt(24)\/sqrt(3) - sqrt(2))*4.\nAnswer: 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 3*u**2 + 2*u + 6. Let p = -23 + 19. Calculate c(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 at least as big as 214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b17 (base 14) in base 12?\nAnswer: -7741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -755*u**5\/7 - 9372*u**4\/7 - 27908*u**3\/7 - 10032*u**2\/7 - 128*u\/7 = 0.\nAnswer: -8, -4, -2\/5, -2\/151, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p = 0. Suppose 2*d - 3 - 7 = p. Solve 0 = 2*m - d*r - 31, 4*m - 16 = 4*r + 16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(98)*-3.\nAnswer: -21*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 496*(1 - (-15)\/(-6)). Let y = -513 - l. Suppose a = 931 - y. Round a to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345657?\nAnswer: 3, 13, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 10. Suppose -7*k + 2*d + 31 = -2*k, -2*k + p*d = -25. Let t(m) = 4*m**2 - 2*m + 1. Let z be t(-2). Solve -2*o + z = -k*r - 12, 3*r + 19 = o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32\/80 - 3\/(-5). What is the remainder when 22 is divided by (11\/33)\/(x\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1055 + -1054.503. Let t = -0.067 + z. Let u = t - -0.27. Which is the second smallest value? (a) 0.2 (b) 2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 4:27 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3156 times 385.53\nAnswer: 1216732.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 2. Let k(d) = 8*d**2 + d - 2. Let b be k(-2). Let q = -30 + b. Let m be t(q). Calculate the greatest common divisor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 973 a factor of 213689644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -ae (base 16) to base 7\nAnswer: -336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 317 - 48. Suppose -4*t = -4*v - j - 39, -4*v = 16. List the prime factors of t.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002230817 rounded to 6 decimal places?\nAnswer: 0.002231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2228 + -4137. Let w = -1908.979995 - n. Let t = 0.02 - w. What is t rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 3*p**2 + 2*p + 1. Let z be a(-3). Let w = 8 + z. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.3. Let k(x) be the third derivative of x**5\/60 - x**4\/12 + x**3\/6 - x**2. Let l be k(3). What is the biggest value in 3\/2, i, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3176 and -584596528.\nAnswer: -584599704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/27 and 55\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q - q**2 - 3*q)*(4 + 2*q**2 - 4) - q**4 - 4*q**4 + 3*q**4 + 6*q**4 - 4 + 4 as g + t*q**2 + c*q + p*q**3 + m*q**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-12)\/((-1008)\/20))\/(8\/(-144)))\/(7\/(-98)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1)\/g*g*g)\/g)**(-1\/12)*(g**(2\/7)*g)**19)\/((g**7\/(g\/(g**(-6)*g)))\/(g*g*g**(-3)*g*g\/(g*g*g\/(g*g**5*g)*g*g))) assuming g is positive.\nAnswer: g**(2227\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -3 (c) -5.3 (d) 430 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 31352457?\nAnswer: 31352458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*v - 0*n + 36, 2*n - 51 = -5*v. Let b = v - 7. Solve -b*c = -1 + 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -42482 bigger than -191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120916 is divided by 174?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/10 - 1\/(-2). Suppose y = t*y - 2*s - 29, s + 92 = 3*y. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10723, -10715, -10709, -10705, -10703, -10703?\n\"Answer: -l**2 + 11*l - 10733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by -3470485?\nAnswer: 31\/3470485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 23\/7. Let u = 547\/444 + 2\/111. Let n = -14.8 + 14.3. Which is the third biggest value? (a) n (b) p (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -183 - -170. Let h(p) = -32*p + 10. What is the units digit of h(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 2114?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*i + 12 + 24, 5*q - 20 = 0. Solve 0 = -i*y - 0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/6)\/((-1)\/((-9)\/6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -85, -144, -213, -292?\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4511392 divided by -1.\nAnswer: -4511392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00203809 to 4 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 272602902 and 1612?\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkikikkkikikkkmmkkkk. What is prob of sequence mii?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -6*((sqrt(19) + 0)*1 + 2*sqrt(114)\/sqrt(6)))**2.\nAnswer: -108*sqrt(19) + 6165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5264 equal to 5243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1568237 is divided by 520245.\nAnswer: 7502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 972750 is divided by 38?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/77 and 95\/286?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -446 and -81.7?\nAnswer: 36438.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24214121 (base 5) in base 16?\nAnswer: 37371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7514716 (base 8) in base 9?\nAnswer: -3685862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*s + k + 4, -2*s + 24 = -4*k. Suppose s*l + 2*l = 0. List the prime factors of -2 - (-3*3 - l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.098 and 614?\nAnswer: -60.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -76, 14.\nAnswer: -76, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(150) - -4*(sqrt(150) - 2*sqrt(150)))\/sqrt(3))\/(sqrt(810) - 2*sqrt(810)*4))**2.\nAnswer: 5\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -17 - (6 + -1) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r**3 + r**3 + r**3)*(-3 + 3 + 2)*(3*r + 0 + 0) + 36*r**4 - 19*r**4 + 31*r**4 to l*r**3 + g*r + h*r**4 + m*r**2 + y and give h.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6\/13, 0.1, 11, 4 in increasing order.\nAnswer: -2, -6\/13, 0.1, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 9359715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -739703*m**2*y**3 + 498285*m**2 + 2*m*y**2 wrt y?\nAnswer: -4438218*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 62 = 2*g - g, 2*g = -4. Let m = v + -11. Suppose 2*l - 56 = -2*l. Calculate the remainder when l is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-22))\/((19\/(-76))\/((-7)\/(-21))).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 141861, 2\/9, 0.078, 0, -5\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - h + 1. Let t(a) = -a**2 + 3*a + 3. Let q be t(4). Let f(w) = -7*w**2 + 6*w - 6. Give q*f(o) - 6*p(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = g - 12, 5*g - 5*b + 75 - 15 = 0 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 876732073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 469*y**2 - 8902*y - 69. Calculate u(19).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 5*z + 15, -g - 3*z + 23 = 3*g. Let k = -1 + g. Solve -2*d + 4 = -k*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256977 is divided by 18244?\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-72)\/(-30) + (-2)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) 1\/3 (b) -3 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6, 51, 146, 279, 450, 659, 906?\n\"Answer: 19*v**2 - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40213 is divided by 2359.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 12. Let g(k) be the second derivative of 0*k**3 + c + 1\/18*k**4 + k + 0*k**2. Factor g(b).\nAnswer: 2*b**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177870644 to the power of 1\/2, to the nearest integer?\nAnswer: 13337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 + 4*s + 2. Let h be c(-2). Differentiate 3 - 62*i + 62*i - h*i**4 with respect to i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4 + (-48)\/15)\/((-10)\/(-1175)) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a**2 - 3*a**2 + 7*a - 3*a**2 + (-a**2 - 2*a**2 + 2*a**2)*(-1 - 6 + 5) + a**2 - 2*a**2 + 3*a**2.\nAnswer: 3*a**2 + 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7*m**2 - 200*m + 116. Calculate r(28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + (-14)\/6)\/((-34)\/51). Solve 7 = 3*q - g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3 = w, -3*w + 10 = 4*v + 1. Suppose 0 = -w*i - i. Suppose -5*k - 2*j + 25 = i, 5*j - 3*j = -k + 13. Solve 4*c - 3*c = k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**2*v**3 + g**2*v - 4*g**2 + 105*v**4 - 12*v wrt v?\nAnswer: -18*g**2*v + 1260*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -607 (b) 2\/5 (c) -0.24 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6663\/23296 + 1\/3328. Which is the closest to -0.8? (a) d (b) 31 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 0*v**2 - 3 - 1\/3*v**3 + 0*v. Let k(x) = -9*x. What is k(z(a))?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2. Suppose 4 = 3*w - w. Let t(f) = 0*f + 4*f + w*f - 5*f. What is t(k(h))?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -34*c**6\/15 + 23*c**2 - 29*c + 1. Differentiate k(n) with respect to n.\nAnswer: -272*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 333 and 48465819.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 10*v - 24. Let o be g(10). Let y be ((-21)\/28)\/(9\/o). Solve 3*a + q = y*q - 4, 0 = -2*a + 5*q - 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 0*r**7 + 1\/4*r**4 + 0*r**6 + 2*r + 1\/56*r**8 + 0*r**2 + 0 + 0*r**5 + 0*r**3. Find the third derivative of f(b) wrt b.\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38288*i - 3 + 19153*i + 19138*i + 3.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3\/3 - 29825*r**2\/3 - 536558*r\/3 - 953824\/3 = 0. What is r?\nAnswer: -29807, -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooko when four letters picked without replacement from {k: 2, o: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 5*s + 4, u = 17*s - 20*s - 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.371678 to 3 decimal places.\nAnswer: -1.372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 23*z + 52. Let g be k(-21). Suppose 0*f = -5*f + g. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 103, 111, 123, 139, 159?\n\"Answer: 2*p**2 + 2*p + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 5*n**2 - 3*n - 13. Let q be k(6). Suppose q*g + 22 = 7*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q - 3*q + q)*(219 + 121 - 49 + 185) as t + u*q and give u.\nAnswer: 952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.018 in 17, -4, 1, 1\/6, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 296 and 407?\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13314 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: Three letters picked without replacement from mrrnmrrmrrmn. Give prob of picking 1 n and 2 r.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5914 - -9743. List the prime factors of y.\nAnswer: 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 0\/2 - 11. Let h be 4\/u*15\/21. Let v be ((-2)\/10)\/(4\/(-10)). Which is the nearest to -1? (a) 0.1 (b) h (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 12 - 714. Let n = v - 267. Calculate the smallest common multiple of 36 and n.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825822720 a multiple of 2304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3.360425 nanometers?\nAnswer: 0.000000000003360425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9\/8 - -169\/136. Let k be 1*((-4)\/10 - 0). Which is the nearest to -1\/3? (a) k (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 5e1?\nAnswer: 5e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-30)\/18*12\/(-10). Let o be (-8)\/(-4) - (f + -2). Let g(u) = -u**2 + 6*u + 1. Let w(q) = -5*q**2 + 25*q + 3. Let p(y) = o*w(y) - 9*g(y). What is p(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.39396 centuries to years.\nAnswer: 39.396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4*f - 2*f + 12, 2*f = -3*k - 13. Let t = -2.2 + -0.8. Which is the biggest value? (a) t (b) 5\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 4*v = -58 + 87, -3*g + v = -11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/(-15)*5\/(-2). Let r(d) = d + 3. Let w be r(6). Find the third derivative of 3*g**b + 12*g**2 + w*g**6 - 2*g**6 wrt g.\nAnswer: 1200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(605)*-1 + 4)**2 - (sqrt(40)\/(sqrt(64)\/(sqrt(8) - sqrt(72))) + -1)) + -5.\nAnswer: 2*sqrt(5) + 601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**2 + n. Let i be j(-1). Let t be i - (4 - (2 - 0)). Find the third derivative of 0*c**2 + 0*c**2 - 2*c**5 + 0*c**5 + 3*c**t wrt c.\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 6*s - 13. Suppose -q + 3 = -6. What is the remainder when 26 is divided by k(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -14 + 39800*s - 67535*s - 56346*s - 84258*s. Let i be b(-6). Suppose a = -0*r + 5*r + i, 5*r + 20 = 0. Round a to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 251 - 249. Solve 0 = -3*o + 2*t + 5, -4*o - a*t + 6 = -4*t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-10 + 11 + -7 + -2 + 4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60\/11 at most as big as 2\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 135065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 - 92. Suppose -3*v = 5*l + 58, -l - 126 = 6*v - v. Let f = p - v. What is the highest common divisor of 245 and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 363907663?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 6:06 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 3:54 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - ((-7 + -10 - -4) + 21)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -42379, -42378, -42377, -42376, -42375?\n\"Answer: c - 42380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3015296022?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1281648 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: What is the hundreds digit of 4111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 8:22 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 2 = 3*z, -492 = -3*i + 4*z. Calculate the greatest common divisor of 120 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -2132?\nAnswer: 2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeekeekeeee. What is prob of sequence ke?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -141*m - 5. Let q be y(-2). Suppose 13 - q = -2*l. Calculate the remainder when l\/3 - 3 - 0 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - -30 - 34 - (1 + 2 - -5).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.4 and -78341.69?\nAnswer: 78344.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 30*g**4\/7 - 183*g**3\/7 - 12*g**2\/7 + 183*g\/7 - 18\/7 = 0?\nAnswer: -1, 1\/10, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 8:53 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.152, 5, -33?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*j - 88, -3*d - 9*j - 52 = -11*j. Let k = 4 - d. Calculate the remainder when 218 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -33351?\nAnswer: -5\/33351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-6)*-8 + 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 38 = -62. Let p be 12*(-4)\/4*3\/(-12). What is the nearest to 0.1 in 0.4, p, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/11520 and -119\/3072?\nAnswer: 46080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 4. Suppose -5*x - g = -16, -x + c*g = g - 2. Suppose -132 = -b - x*b. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2828503.\nAnswer: 113, 25031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide (13 + 12125\/10)*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (1 - -4 - (8 + -15 + 16))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 2. Let x be h(6). Calculate the greatest common factor of x and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 18 = 2*z - 3*p, -4*z = 5*p + 8. Suppose 7 = -0*o + z*o + d, -4*o = -5*d + 16. Let t be o\/4 + 234\/24. Solve t = -3*n + 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*m = -9*m + 9, 4*m = 5*p + 48. Let f be p\/(-21) - (60\/(-42) - -1). Solve 4*o - 8 = 0, 5*k = 4*o - f - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - n = 2, 2*h + 0*h - 6 = -n. Suppose -6*g + h + 178 = 0. What is the second derivative of q**3 + g*q - 16*q + 13*q**3 wrt q?\nAnswer: 84*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1629*z - 1236*z**2 - 1628*z - 1622*z + 4879*z.\nAnswer: -1236*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -16836695415033*c**5\/5 + 5684551938*c**4\/5 + 67346781020376*c**3\/5 - 22738207728*c**2\/5 + 2559024*c\/5 - 96\/5 = 0.\nAnswer: -2, 2\/17771, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1904*m = 116711 - 6279 for m.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9963 by -8.\nAnswer: 9963\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 494 = -5*h - 164, -3*f - 3*h = -495. Calculate the smallest common multiple of f and 15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 - i**2 - i + 2. Let k(j) = -8*j**3 - 6*j**2 + 4*j - 6. Calculate -2*k(h) - 6*n(h).\nAnswer: 4*h**3 + 18*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k - 20. Let l(g) = -1. Determine 3*l(n) + o(n).\nAnswer: n - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d - 20 = 0. What are the prime factors of 2\/(d\/(540\/8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8124502*u**3 - 86*u**2 + 13*u - 1075.\nAnswer: -48747012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 747, 1690, 3011, 4710?\nAnswer: 6787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x*x\/x**(-1\/13)*x))\/x)\/(((x**(-1)*x)\/x)\/x))\/((x*x**(-1))\/x)**(3\/7) assuming x is positive.\nAnswer: x**(-150\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a hour in seconds?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 0.6, 23?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 123001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.233297 times -5601\nAnswer: 1306.696497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -16, 49337 in ascending order.\nAnswer: -16, -5, -1, 49337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/15 + 102\/30. Suppose 2 = g - i, g + 5 = w*g - 3*i. Suppose 3*t - g = 8. Solve 5*n + 5 = -v + 29, t*v = -2*n + 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82227478.\nAnswer: 2, 19, 2163881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3434015 + 4?\nAnswer: -3434011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -8*s + 3. Let z be k(-3). Suppose 0 = -3*b + 126 + z. List the prime factors of b.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 796 + 623. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-14))**36\/(g**(-3)\/(g\/(g**10\/g))))**39 assuming g is positive.\nAnswer: g**(-19851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -10*k - 29*k + 8*k + 12*k. Let s(j) = -j**2. Determine a(s(i)).\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 2 - 16 - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*n, -2*n + 26 = -5*m + m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**3 - 4*b**3 + 2*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/27*-12)\/1. Suppose 2\/9*h**2 + 2\/9*h**i + 0*h + 4\/9*h**3 + 0 = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 496 - 336. Let z = 293 - 290. Suppose 0 = -p - 2*u + x, -99 + 579 = z*p - 4*u. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 11*u - 2. Let o be w(5). Suppose 47*g - 51*g + 280 = 0. Calculate the highest common divisor of o and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 0.1. Let z = 2.31 - 6.31. Which is the nearest to t? (a) -2\/3 (b) z (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202344, -202365, -202404, -202467, -202560, -202689, -202860?\nAnswer: -203079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 11*v**2 - 11*v - 1. Let n be z(-10). Suppose 7*i - n = -2. Sort 5, -132, i.\nAnswer: -132, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*sqrt(84)*4)\/(sqrt(1452) + sqrt(1452) + (1*sqrt(1452) - sqrt(1452) - sqrt(1452) - sqrt(1452)) - sqrt(12)).\nAnswer: -16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15047 + 15044. Let o = -2 + 7. Put o, j, 4 in increasing order.\nAnswer: j, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/17278 and -37\/20?\nAnswer: 172780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 19*m**2 - 4*m + 24. Let y(k) = -3*k**2 - k - 1. Let r(v) = -f(v) - 6*y(v). Give r(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4863 + 4863. Which is the closest to -0.091? (a) -0.3 (b) -2\/9 (c) 0.1 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -94 - -118. What is the greatest common divisor of q and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89169014 divided by -41?\nAnswer: -2174854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from allaaawawl.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 200086, 200105, 200124, 200143?\nAnswer: 200162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 3*z + 84 = 0. Let m be 9 + (z\/14)\/((-4)\/(-8)). Let u(j) = -j**3 + 5*j**2 + 4*j + 8. Give u(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**9\/(y**24\/y*y*y\/(y**(1\/7)*y)))**(-3\/25) assuming y is positive.\nAnswer: y**(138\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(3 - (-3 - -5)). Let j = 38.9 - 39. Which is the fourth smallest value? (a) -0.5 (b) j (c) t (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*b - 4, -2*b + 3*k = -k + 4. Suppose b*x + 2*x = -5*n + 427, -3*x + 343 = 4*n. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**33\/u)**(10\/7) assuming u is positive.\nAnswer: u**(320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127377.\nAnswer: 3, 14153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 10 = 0, -3*l - 2*i + 29 = -20. Calculate the remainder when 41 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/2805*18*420\/48.\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126389*n = 126346*n + 387 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0725047l to millilitres.\nAnswer: 72.5047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 85 = 80. Let i = k + 95. Suppose -2*j - v + 48 = -3*v, 0 = 4*j + 4*v - 72. Calculate the remainder when i is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 251675, 251652, 251629, 251606, 251583?\nAnswer: 251560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/468 and 41\/4.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 367520 - -26?\nAnswer: 367546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u + 6 = 0. Suppose 20 = -5*q, 3*j - 4*q - 118 = 2*j. Suppose -4*a = 3*v - a - j, -u*a = 15. What are the prime factors of v?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6)*0 + 4*10. Let q = 43 - v. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15 - 0)*(3 - 0). Suppose 2*n = 5*n - v. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/(133\/2*2\/14)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10 - (-9 - -22))*11\/3. Let w(j) = j**3 + 11*j**2 + 6*j + 23. Let p be w(n). Sort p, -5, -3 in decreasing order.\nAnswer: -3, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(189)\/sqrt(3)*2 + 3*(sqrt(112))**2*-6 - (3 + (sqrt(49)\/(sqrt(42)\/sqrt(6)) - (sqrt(28)\/(-1*sqrt(4)) - sqrt(7)))).\nAnswer: -2019 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2276397879 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0499 + 41.3499. Let m be (((-50)\/(-42))\/((-5)\/(-6)))\/(-5). Which is smaller: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 323 - 355 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2239716448 to the nearest integer?\nAnswer: 47326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*l - 2*b, 0 = 2*l - 2*b + b - 14. Let s be (l\/((-25)\/5))\/((-2)\/20). Solve -u = 4*u - s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12719*v**5 - 67*v - 228.\nAnswer: 254380*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 825*d - 414*d - 421*d. Let i(o) = -11*o**2 - 8*o. Let h(j) = -4*j**2 - 3*j. Let f(x) = 8*h(x) - 3*i(x). Determine m(f(b)).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 6. Let i = 104 + -69. Let o(v) = 10*v**2 + 35*v - 45. Let x(l) = l**2 + 4*l - 5. Let d(q) = i*x(q) + j*o(q). Factor d(z).\nAnswer: -5*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 614\/11 - 6\/(-33). Let g be 3 - ((-96)\/6 - -1). Let l(w) = w**3 - 19*w**2 + 22*w + 12. Let o be l(g). What is the greatest common divisor of k and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 4*k + 21. Determine u(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33763 + 59939. Is 32 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*r - 5*s, 0 = 3*r - 5*s + s + 9. Suppose -3*z + 37 = 4*b, -r = 3*z - 3*b - 31. What is the highest common factor of 99 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*(k**(-2\/21)*k)\/k)*k)*k\/k**(-3\/10)*k)\/(k**(-1))**50 assuming k is positive.\nAnswer: k**(10963\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikiy. Give prob of sequence kiy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 4*k**2 - 7*k + 5. Let r be n(5). Put r, 4, -3 in ascending order.\nAnswer: r, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 13 + 9*b - 3*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 10*c**2 - 2 + 14.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -i - i + 200, -4*a + i = -206. Let x = -28 + a. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -13.96. Is r > 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*o**3 + 9*o**3 - 2 + 362*o + 1191*o - 366*o + 12224*o**2 - 12302*o**2 wrt o?\nAnswer: 54*o - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(5\/3))\/i)**(-22))**(-1) assuming i is positive.\nAnswer: i**(110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9961.0600467 - 1146\nAnswer: -11107.0600467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -119\/2 + 497\/10. Find the common denominator of i and 21\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-120)\/9 + 3 - 128\/(-96).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -195, -193, -191, -189?\n\"Answer: 2*j - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-3 - -4 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 1532616730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 841*p + 27. Let h(l) = 560*l + 19. Determine 7*h(x) - 5*t(x).\nAnswer: -285*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2581 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -15. Let y = 1 - f. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24603, 24475, 24347, 24219, 24091, 23963?\nAnswer: 23835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 27988312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 4*o**2 + o - 2. Let h be j(4). Suppose -2*g - 5 + 0 = -m, 2*g + 17 = 5*m. Factor -m + 3 + n**3 - n**h.\nAnswer: n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.961235 rounded to three decimal places?\nAnswer: 0.961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.03701704\nAnswer: 0.014806816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 5*t - 5. Let n be c(6). Suppose 5*j = 3*h - 167, -j - 2*h = -8 + 31. Let b = j - -26. Put n, b, -3 in ascending order.\nAnswer: b, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3260109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tlh when three letters picked without replacement from hhlhthhhthhttthth?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnbnglbnlbgblnnnbnn. Give prob of picking 1 g and 1 l.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/(-2))\/((-1)\/17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 735136856?\nAnswer: 2, 23, 151, 26459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 1:22 PM?\nAnswer: 363","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 8, -4*i + 4 + 12 = -3*n. Suppose n = -v + 2 - 0. What is the common denominator of (-59)\/(-18) + 1\/v and -29\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000481764972 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -847*j**2 - 844*j**2 + 1687*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 13\/101, 5, 1\/7, -2 in descending order.\nAnswer: 5, 4, 1\/7, 13\/101, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/6*3\/(-6). Let b(c) = c**2 + 32*c + 208. Let f be b(-9). What is the third biggest value in f, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 450, 1756, 3938, 7002, 10954?\nAnswer: 15800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 7*d - 2*a + 34 = 0, 2*a - 13 = -d. Suppose -m - 4*m + 25 = 0. Let l = d - m. Solve 3*v = 4*t - 4 - 19, l*v - t + 12 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzl when three letters picked without replacement from onojzltzn?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5926232*p**3 - 2151*p**2 - 13*p - 41?\nAnswer: -35557392","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/5 (b) -1.2 (c) 5\/4 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/4*3300\/3025.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -15724.\nAnswer: 125792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 2*d**2 + 3*d - 2. What is v(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -13200522?\nAnswer: 13200530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-691.4\nAnswer: -691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13244 + 13248. Solve -52*u + 56*u - i = d, -2*d = -3*u + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7483*n**2 - 2490*n**2 + 208*n - 2489*n**2 - 2497*n**2)*(4*n + n - 3*n - 2).\nAnswer: 14*n**3 + 402*n**2 - 416*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 2*q - 12, 2*q + 9 = 3*j - 3*q. Let u(w) be the second derivative of -9*w + 0*w**j + 0 - 1\/78*w**4 + 1\/13*w**2. What is b in u(b) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1\/g)\/(g*g**(2\/7))*(g*g**0*g)**(-25)*g**(-6)*g*g\/(g**(-6\/11)*g*g)*g*(g**(-8)*g)\/((g*(g**(2\/9)\/g)\/g*g*g)\/g) assuming g is positive.\nAnswer: g**(-43633\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4708 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13041242, 13041227, 13041212, 13041197, 13041182, 13041167?\nAnswer: 13041152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41340 is divided by 213?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -212706 divided by -234\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1879683 a multiple of 753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -174870 (base 12) to base 2\nAnswer: -1100010001011010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 472210000 to the nearest 1000000.\nAnswer: 472000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -93 + 96. Suppose 0 = -y*c + 2*k + 25, -k + 6*k = -25. Solve 0 = 4*a + 8, 6*b - c*a = 7*b + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**4\/10 + 22*n**3\/5 + 32*n**2\/5 + 6892. Let x(j) = 0. Calculate j.\nAnswer: -32, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/3 - (-6)\/(-9). Let j(d) be the third derivative of -d**5\/60 + d**3\/3 - d**2. What is j(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 10:53 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d - 7. Let h(q) = 2*q - 3. Let z(r) = -5*h(r) + 3*y(r). Let l(p) = p**3 + 6*p**2 + 11*p + 17. Let f be l(-5). Is z(f) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2073, 2071, 2085, 2127, 2209?\n\"Answer: 2*c**3 - 4*c**2 - 4*c + 2079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-35)\/3 - -3)*4587\/(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(77)\/(sqrt(44)\/sqrt(4)*6 + sqrt(11)))**2*-4.\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.4 (b) 2 (c) -5 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 256\/112*7\/2. Suppose -4*i = -15 + 3, 5*b + 2*i = 16. Suppose -b*d = -6*d. Solve d = 2*r - 2*w + m, 0 = -w + 3 - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11457 and 19494?\nAnswer: 1306098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (6*1)\/3. Suppose -t + 0*t + 24 = 0. Suppose j = 2*j + 4*v - 9, -5*v = r*j - t. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 4*n - 23, 6*n + 4966*b - 4965*b - 37 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + (5*sqrt(567)*1 + sqrt(567) + sqrt(567))**2 + sqrt(567)*2*-5 + 2).\nAnswer: -27787 + 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 16, 0, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*(-6*(sqrt(567) + 2 + sqrt(567) + sqrt(567)) + 4 + -2*(-3*sqrt(567) + sqrt(567)) + -4))**2.\nAnswer: 226800*sqrt(7) + 8345700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 339621*u**3 - 2*u**2 + 5*u - 11532156 with respect to u.\nAnswer: 1018863*u**2 - 4*u + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-9)\/252*-2*260\/13.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -12*b - 4 + 30. Solve 2 = -3*u + 3*j + 17, -b*u - 5*j = 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -900 - -898. What is the third smallest value in -2\/7, t, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -231 + 375. Let i(x) = -x - 1. Let g(o) = -4*o**2 + 2*o + 1. Let a(s) = -g(s) - 3*i(s). Let n be a(-2). Calculate the highest common divisor of c and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**4 + 142*i**3 - 2216*i**2 - 10632*i - 11232 = 0.\nAnswer: -2, 36, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/16)\/(p*p\/p**(1\/11)) assuming p is positive.\nAnswer: p**(-303\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3567, -3571, -3573, -3573?\nAnswer: -3571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vox when three letters picked without replacement from {o: 1, x: 1, j: 1, v: 1, q: 1, n: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 5*o - 3. Let w be u(2). Suppose -4*i = -w*f + 113, -5*f + 4*i - 5*i + 150 = 0. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 652114265 to the nearest integer?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p + 5*b = 1434, 5*p = b + 2362. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 - 7*l + 2. Let m be j(-5). Let x = m + -85. Let z(b) = -x*b**2 - 7*b**2 + 9*b**2 + 2*b**2. Let n(h) = -2*h - 49. Calculate z(n(t)).\nAnswer: 8*t**2 + 392*t + 4802","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25296 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 17 = -h + 16, -8 + 38 = 5*h - 5*q + 3*q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmkw when four letters picked without replacement from {w: 2, m: 2, k: 2, a: 4, x: 4}.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - 0. Let f = d - -23. Solve 0 = -f*a + 4*a - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 2*u + 5*u)*(-433 - 313 + 632) + u - u - 2*u.\nAnswer: -572*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 251 + 59. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(3 + -1 + -1). Let x(p) = 1 + 2*p**2 - 6*p**l + 5*p + 4*p**3 - 3*p**3 - p. Calculate the remainder when x(4) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 b when four letters picked without replacement from bbddbb?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48.9 + -0.1. Let g = -48.999865 - v. What is g rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**6\/240 - 11*o**5\/120 - o**4\/2 + 3*o**3 - 120*o**2 + 259*o. Let l(i) be the first derivative of f(i). Factor l(d).\nAnswer: -(d - 1)*(d + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*v - 2*v + 16*v)*(212 - 103 - 62)*(-3 - 1 - 2).\nAnswer: -6768*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjjjjjjjjaojajho.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 319208809 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.865991nm to kilometers.\nAnswer: 0.000000000001865991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 6*n**2 + 5*n - 2. What is o(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 108 - -21) + 30 + (-9 - -2)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 1. Let v(u) = -4*u**2 - 12*u + 12. Suppose 6*l - 5 = l. Let c be (2 + 0)\/(24\/(-228)). Let a = c - -31. Determine a*k(w) + l*v(w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -975326*i**2 - 2378557?\nAnswer: -1950652*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 - 12 - 4)*(2*j - 3 + 3 + (-2*j + 0*j + j)*(-4 + 1 + 2) + 6 - 6 + 12*j) - 5*j + 11*j + j to the form r*j + m and give r.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-266)\/(-616) + 3\/(-12)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 961 - 914. Is 48 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 96805236 by 3.\nAnswer: 32268412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**18*x*x*x*x\/x**(2\/5))\/((x\/(x\/(x*x*x\/x**19)*x))\/x**25) assuming x is positive.\nAnswer: x**(318\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**2 + 6762*d - 3810387 = 0.\nAnswer: 1127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -4*x + 33, -31 = -4*x + 3424*j - 3423*j for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 smaller than -9\/13613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 divided by -15113?\nAnswer: -106\/15113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*2\/12)\/((-3)\/(-7))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10927845.\nAnswer: 3, 5, 61, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -347*z**2 + 13*z. Let m(p) = -5*p**2 + p - 1. Let h(d) = b(d) - 3*m(d). What is the second derivative of h(t) wrt t?\nAnswer: -664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j - 2*j**2 + 11*j - 16*j. Calculate w(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 165*d**2 + 171*d + 1064. Does 14 divide v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 669 + 1981 = 0. Let k = t - 197. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 45\/(-27)*(-1)\/(2\/272400). Round d to the nearest 10000.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 5:45 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0609 + -0.0391. Put 0, v, 1, -3 in increasing order.\nAnswer: -3, v, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 3.2. Let i = -3.5 + r. Let v = -0.49999 - i. What is v rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -108\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 6. Suppose b + o = -2. Let s = b + 5. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 - c**2 - 2*c + 9. Let q(s) = s - 1. Let y be -31 + 28 + 1*5. Calculate y*q(p) + t(p).\nAnswer: -2*p**3 - p**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1\/2 (b) -8 (c) -0.5 (d) -0.4 (e) 36\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*x + x - 21 = 0, 0 = -4*w - x + 11. Solve f + 0*c + 5 = -4*c, -w*f = 4*c + 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((36\/(-3))\/(-36))\/(-1 + 3). Let f(l) be the second derivative of -l + a*l**3 - 1\/2*l**2 + 0. Give f(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37631547 to the power of 1\/3, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*c - 18 = 0. What is the remainder when 17 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502*t + 723 = -6305 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (27 - -4) + 2*2\/(-4). Let n be (-3)\/(2*(-2)\/(-8)). Let g(o) = -3*o - 3. Let h be g(n). What is the greatest common divisor of h and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 26 = 2*y - 23, n = -1. Let f(j) be the second derivative of y - 3\/11*j**2 + 1\/66*j**4 + 8*j + 2\/33*j**3. Factor f(d).\nAnswer: 2*(d - 1)*(d + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 14.4 (c) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5079 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.11 less than 3935031228?\nAnswer: 3935031226.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 308, 608, 908, 1208, 1508?\n\"Answer: 300*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + sqrt(475)*-1)*-2*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r = -19*r - 24. Is 21 a factor of (-431)\/(-4) + r\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 2, 116, 20, -11.\nAnswer: -11, -5, -4, 2, 20, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-6)*(-8)\/(32\/(-12)). Is w less than -8\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, t: 2, d: 2, c: 1, p: 4, g: 4}. What is prob of picking 1 c, 1 g, and 1 t?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 f, 1 r, and 1 h when four letters picked without replacement from llrhllrhftrfolf.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 48\/8 + (-7945 - -3). Let a = -5379 - q. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, h: 2}. Give prob of picking 2 h and 2 u.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -t - 3*q, -17*t + 12*t = -4*q - 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 9.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-15)*p)\/p*(p\/(p\/(p*p*p\/(p*p**(-7)\/p*p))))\/p assuming p is positive.\nAnswer: p**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*h**2 + 93*h + 132*h + 113*h**2.\nAnswer: -2*h**2 + 225*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600)*-1)\/sqrt(12)*3)\/((sqrt(80)*-1 - sqrt(80))\/sqrt(8) + (sqrt(200)\/sqrt(5))\/sqrt(4)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -4. Let o = 2 + 0. Let d be o\/2*-2 - -6. Put d, -2, s in descending order.\nAnswer: d, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.77 + 21.73. Let h = y + -22. Which is the smallest value? (a) 1 (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 a factor of 222780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/18 and 4 + (-1)\/(16\/190).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 432 by 18.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 7. Let o = 9.3 - 9. What is the biggest value in r, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -131, -2, -280, 2\/9, -1?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnrgrnjjrnjrn. Give prob of picking 1 g and 2 j.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 1 - (-4 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*o**4 - 5*o**4 + 6*o**4 + (0*o + 4*o - 6*o)*(o**3 + 0*o**3 - 3*o**3) + (4 + 2*o - 4)*(0*o**3 - o**3 - o**3).\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.1, 0.9, 0.5, -272?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 34895 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22530.\nAnswer: 2, 3, 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w**5\/3 + 2101*w**4 + 13410*w**3 - 100*w**2\/3 - 29784*w + 14304 = 0.\nAnswer: -894, -6, -2, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 24*m = 19*m + 5, 0 = -q - 4*m - 21 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 divided by -73?\nAnswer: -43\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.4 - -2. Which is the third biggest value? (a) -4 (b) g (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 5 + 20. Suppose k*p = -2*p + 1090. Suppose 2*o - 4*w - 250 = -0*o, 4*w - p = -2*o. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-86)\/(-21) + 90\/(-945).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4. Suppose d = 3*q - 5*p - 8, 3 = 4*q - 3*p + 4*p. Is 16 a factor of (-24)\/q*(-25)\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-308)\/(-8)*-2*(488 - 458 - (-336)\/(-11))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 222441500?\nAnswer: 222441503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201 + -12122?\nAnswer: -10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00019439 to five decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 16\/(1\/22*(-4 + 6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/1628?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 39642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in 0.2, 0.1, -5, -1\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z + 11. Let f be c(9). Let v = 18 + f. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 21 = 3*b, -5*n + 4*b - 8 = 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 15849, -5, 0, -3 in ascending order.\nAnswer: -5, -3, 0, 2, 4, 15849","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 79363 and 2242.\nAnswer: 9364834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -154 + 246. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 20*h - 1. Let v(x) = 60*x - 3. Let j(a) = 17*g(a) - 6*v(a). Let y be j(2). Let d = y - -115\/3. What is the smallest value in d, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223, -190, -161, -142, -139, -158, -205, -286?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 8:35 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v + 318*v**2 - 311*v**2 - 2*v + v.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 8) in base 15?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2758*h + 455076. What is j(-165)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4175 + -4178. Which is the nearest to -1\/2? (a) h (b) 57 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -36*m + 45*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 7. Let g be z(7). Let r = -39 - -86. Suppose -282 - r = -4*i + 3*u, 5*i + u - 416 = g. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 + -8 + (0 - -8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*y - 237*y - 709*y.\nAnswer: -791*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(2\/1)*-4. Let v be (-147)\/(-105) + (-1)\/(10\/h). Solve 0 = -0*u - u - v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50379\/232 <= 216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 102*c**2 - c - 2. Let y be z(-1). Let m = 168 - 75. Let t = y - m. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29476 - 17581. Calculate the greatest common divisor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-693)\/22)\/(-21)*-4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8857770831 to 4 decimal places.\nAnswer: 1.8858","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 (base 9) in base 16?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 9:36 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1148 and 409549?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 514066584, 514066583, 514066582, 514066581, 514066580?\nAnswer: 514066579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -762015579 divided by -58616583\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 262\/7?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2\/5 - 1426073*g\/5 + 427821 = 0. What is g?\nAnswer: 3\/2, 713035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1339 or 1340?\nAnswer: 1340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15322 is divided by 1958.\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -2 (c) -0.05 (d) 7\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3216265.9 rounded to the nearest one thousand?\nAnswer: -3216000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/((r\/r**(-1))\/r)*r))*r)\/((r*r\/r**(6\/25)*r*r*r)\/r) assuming r is positive.\nAnswer: r**(-44\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z + 2 - 19 - 9*z + 0*z. Let u be y(-7). Calculate the highest common divisor of u and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/118 and -69\/22.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 3*y - 4*y)*(102 + 26 + 40).\nAnswer: -168*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 8:09 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4*-0.6\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6\/71 - 52\/1065. Let h = 77\/416 + -1\/32. What is the third smallest value in t, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (7 - 1) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 256 divided by 4\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x + 50. Let a(o) = -20*o + 35*o - 13*o. Let s be a(-8). Let v be k(s). Solve -v*u = -n - 3*u - 2, 0 = -3*n - 2*u - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/64 and -49\/15144?\nAnswer: 121152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1596343 (base 10) to base 13\nAnswer: 43b7a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, y: 3, m: 5, j: 9}. What is prob of picking 2 m and 2 j?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 1192 = -3016. What are the prime factors of w?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*l**4 - 123*l**3\/5 + 33*l**2 + 84*l\/5 - 36\/5 = 0.\nAnswer: -2, -2\/3, 3\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 5*s = 8, 2*n = -2*s - 29 + 31 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32133876?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 240341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + -26 - 2 - -2) + -3?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 57109.\nAnswer: 57109.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21033 and 621?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*a**4*d**2 + 5*a**4 + 2*a**3*d**3 + a**2*d**3 + 807*a**2 + 7*a*d wrt a?\nAnswer: 888*a*d**2 + 120*a + 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 12. Let l(n) = -n**3 + 8*n**2 + 7*n - 3. Is l(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2851?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12561466*k**3 - 3872775 with respect to k.\nAnswer: 37684398*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 287 and 119322.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100221011 (base 4) to base 9.\nAnswer: -113448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-5\/4))**44\/(v\/(v*v**(-1\/8)))**(-5))**(1\/5) assuming v is positive.\nAnswer: v**(-87\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3744902 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1710 divided by -95?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185194 to the power of 1\/2, to the nearest integer?\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 = -2*b - 7, -14 = -l + 4*b. Suppose 0 = -l*z + 6. Suppose y - 121 = -2*v, 0 = z*y - 3*v + v - 387. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000960393 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -3. Calculate the common denominator of -109\/26 and a - ((-164)\/16 + 2).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/10*2766\/(-4). Suppose 59*w + 7167 = -385. Let k = h + w. Find the common denominator of k and -87\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584\/((-12)\/3) - (75 + 20 + -113)?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 16854*i + 23671443.\nAnswer: 3*(i - 2809)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/2 + 18517*j**2\/2 + 16903128*j - 269784957024.\nAnswer: (j - 4187)*(j + 11352)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -63*h - 1732. Let v be o(-27). Let z(n) = n + 21. Give z(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -21. Let i = j + 20. Solve i*p + 1 = 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b + 28*b = 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 3*x**2 - 2*x**2)*(0 - 1 - 2) + 55*x**2 + 104*x**2 + 7*x**2.\nAnswer: 169*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 9*s**2 - 10*s + 14. Let z(d) = 243*d - 235. Let g be z(1). What is l(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 = 13*k - 17*k + 23 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, -2\/3, 1022, 128?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5423755663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 6*l + 192. Calculate b(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppppppp. What is prob of sequence ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 48788208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = n - 783, -4*n + 6*n - 786 = -4*d. Suppose 4*j - d = 25. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1220\/7 or -173?\nAnswer: -1220\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-136)\/306*((-9)\/14)\/1. Let b(p) = p**3 - 5*p**2 + 2*p - 6. Let n be b(5). What is the closest to -5 in s, -0.2, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 2*q - 3*q)*((6 - 2 + 2)*(-1 + 2 + 2) + (-2 + 2 - 2)*(2 + 0 - 3)).\nAnswer: -40*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 1:46 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w - 18*w + 17 - 287*w**3 - 293*w**3 + 872*w**3 - 295*w**3.\nAnswer: -3*w**3 - 23*w + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2035*b**2 - 3*b - 12. Let z(y) = -2034*y**2 - 4*y - 16. Determine -4*o(w) + 3*z(w).\nAnswer: 2038*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9*-105262\nAnswer: 947358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511.\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 8. Suppose -2*y + 5 = -o. Suppose -5*s + 6*s - 4 = 4*f, -2*f - 2 = 0. Put s, -1, y in descending order.\nAnswer: y, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 540 minutes after 9:57 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000246948 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -o + 5*q - 1, 2*q - 2 = 0. Suppose 0 = -o*j + 2*f + 6267 + 2585, -j + 2*f = -4431. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1456.3 - -0.053.\nAnswer: 1456.353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 8*i**2 + 9*i + 2. Let h be f(9). Factor -10*q**3 + 23*q**3 - q**4 - 11*q**3 - q**h.\nAnswer: -q**2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.04 - -2. Let a = o - 33.96. Let h = -33.99999 - a. What is h rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03449 + -0.01654. Round m to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 10*v**2 - 350*v - 4. Let y(x) = -28*x**2 + 1050*x + 11. What is -8*g(k) - 3*y(k)?\nAnswer: 4*k**2 - 350*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1188)\/(-54))\/(24\/(-96)).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 3*h + 261 = 0, -2495*f + 216 = -2498*f + 10*h + 2*h for f.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*w + 1400 = -178*w. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*p - 6834 + 669, p + 5*s = 1536. Is p a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/445779 and 37\/544841.\nAnswer: 4903569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 119712.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n. Let z(a) be the first derivative of 3*a**2\/2 + 5. Give z(t(g)).\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + (-2363)\/68 - (-38)\/(-88)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4576\/7 + -3445714\/5271. Let r = b + 3749\/6024. Let g be -1*(-5 + -9*3\/(-9)). Is g greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3405*u**2 - 4*u. Let z(b) = -10*b**2. Determine y(z(k)).\nAnswer: -340500*k**4 + 40*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*c + 3 = 1, 0 = 5*y + 5*c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25535*q**2 + 328602*q?\nAnswer: 51070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - d + 1. Let x(j) = -5*j**3 - 6*j**2 + 8*j - 3. Let q(f) = -6*g(f) - x(f). Let t(i) = -i**3 + 7*i**2 - 5*i - 2. Let b be t(6). Is q(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l. Let d(h) = -199*h + 38936. What is q(d(a))?\nAnswer: 199*a - 38936","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 3130?\nAnswer: 3120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46548*f - 46570*f = 902 for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -672*r + 5290. Calculate w(8).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8712 (b) 605 (c) 3\/2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**8\/20160 - w**6\/720 - w**5\/15 + w**2. Let y(c) be the third derivative of q(c). What is y(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 2*t**2 + 2*t - 3. Let i be g(-3). Suppose -4*w - 3*k + 30 = 0, 2*k + 0*k - 4 = i. Let m = w + -4. Which is greater: 3\/2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-3*(sqrt(336) + (sqrt(336) - 4*sqrt(336)*-1)))\/(1*3*-4*sqrt(7)*2))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 132*j**4 + 3638*j**3 + 32364927*j.\nAnswer: 1584*j**2 + 21828*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k - 14 + 80. Let w(p) = 9*p**2 + k*p**2 + 5*p**2 - 11*p**2. Let m(g) = -4*g**2. Determine w(m(q)).\nAnswer: 224*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.028599 times 0.09665\nAnswer: -0.00276409335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -42609 (b) -0.4 (c) 5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**2 - 4*w - 3. Let d be n(-1). Let z = -5 + 7. Suppose z*q - q = 1. Sort 0, q, d in decreasing order.\nAnswer: d, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 12:13 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88293205 and 14964950?\nAnswer: 882932050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 2*q + 142, -3*q + 75 + 2 = 2*j. Suppose j*z + 6 = 32*z. Put -3\/4, z, -0.06, -0.4 in ascending order.\nAnswer: z, -3\/4, -0.4, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5232 and 5232.\nAnswer: 5232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**7\/45 + u**6\/90 - 7*u**5\/30 - 5*u**4\/9 - 4*u**3\/9 - 29*u**2 - 2. Solve w(y) = 0.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -3*t**4\/8 - t**3\/2 + t**2. Let v be f(-3). Suppose 5*y - 71 = v. Calculate the greatest common factor of y and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -9 + (-3 - -6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66559318 and 7?\nAnswer: 66559318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 6954?\nAnswer: -6954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -t + 11. Find u, given that 18\/5*u**2 + 0*u + 10*u**t - 12*u**3 + 0 = 0.\nAnswer: 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*b - 4*g - 5 = 0, -4*b - 2 = 3*g. Suppose 0 = j - 1 - 1. Is (-19)\/(-2)*b*j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/9 + 12630796*h\/9 + 4210265\/3.\nAnswer: (h + 1)*(h + 12630795)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1357971121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 0\/(2 + -3). Let b be 2\/(-1 - h) - 1. Calculate the highest common divisor of 5 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/7 + 72*l**3\/7 - 2040*l**2\/7 + 1600*l.\nAnswer: 2*l*(l - 10)**2*(l + 56)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50 - 1774*j + 919*j + 0*j**2 + 23*j**2 + 854*j to the form a + h*j**2 + q*j and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**6\/540 + i**5\/90 + i**4\/12 + 10*i**3\/3 + 9*i**2. Let a(q) be the first derivative of f(q). Find b, given that a(b) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + -42. Solve v*i - 14 = -5*z - 54, 3*i + 15 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 9) to base 8\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -4, 3, -126, 2, -10 in descending order.\nAnswer: 44, 3, 2, -4, -10, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/240 and -149\/21570.\nAnswer: 172560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.5, 4\/7, 0, -10?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 + 0*w**2 + 5*w**5 + (-w**3 + w**3 - 2*w**3)*(0*w**2 + w**2 - 3*w**2) - 3*w**3 - 3*w**5 + 3*w**3 + 4*w**5 + w**5 - 3*w**5.\nAnswer: 8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 8*t**2 + 2*t - 1. Is 3 a factor of s(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 r when three letters picked without replacement from {z: 18, r: 2}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -95 - 97 + 1090*w**2 + 289 - 97 - 266*w**3 wrt w.\nAnswer: -1596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37 or -90107\/2495?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/252*(-154)\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -334882\/273 - -15948\/13. What is the fourth smallest value in -3088, 1\/5, -2, n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 + 4*x + 7. Let z be t(-3). Is 13 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Suppose -5*i - 3*d - 16 = 0, d = q*i - i. Let j be 57\/i*16\/(-24). Solve -n = -3*r + n - 13, -4*n = r - j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20195518 and 10.\nAnswer: 100977590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103.999912 - -104. Round q to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 174?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19047993581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/3179 - 175113\/425986. Calculate the common denominator of 21\/670 and l.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 1:02 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/18)\/((-1)\/3). Suppose -4*p + 17 = -j, 4*j - 3 = -2*p + h. Suppose -4*g = 4*r - 120, 5*r = p*g - 0*g - 84. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75202 and 12742?\nAnswer: 479111942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -3*s - 1\/3*s**3 + 0 + 0*s**2. Let a(g) = -3*g. Determine n(a(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12835602 and 342.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -24*n**2 + 4*n - 26. Let o(b) = -12*b**2 + 2*b - 12. Calculate 2*m(f) - 5*o(f).\nAnswer: 12*f**2 - 2*f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 10:31 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, 2\/739, 4, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 450 and 10665090.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h = 5*b - 55, 0 = -h + 4. Let y = b - 2. Suppose 0 = y*x + 17 - 97. Calculate the remainder when 28 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tc when two letters picked without replacement from {c: 1, y: 1, i: 1, e: 1, t: 11, b: 1}?\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 198 + -102. Suppose -3*w + 8*w = 15. Suppose w*s + s = a. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 6, 2166, 2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(-20))\/(3\/16). Let i = -4.7 + 0.7. What is the nearest to 0 in i, -28, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**4\/5 - 5318*s**3\/5 + 5317*s**2\/5 = 0.\nAnswer: 0, 1, 5317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 52 = 5*n + 4*h, -2*h + 4 + 4 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 207*b + 87*b**2 - 207*b as d*b**2 + k + n*b and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25412 - 16203 - 180040 = -6333*f for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -3, -35, -101, -213, -383, -623?\nAnswer: -945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479423 is divided by 31961?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 864\/(-64)*-8*(-12)\/144?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v - 2*v + 30 = 0. Let t(m) be the second derivative of 7\/30*m**6 + 0*m**4 + 0*m**5 + 4*m + 0 + 5\/2*m**v + 0*m**3. Differentiate t(k) wrt k.\nAnswer: 28*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188 - 241 = -48*g + 51 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {b: 4, l: 7, z: 3, y: 3, s: 1}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (21\/2)\/7*2\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166, 303, 442, 583, 726, 871?\nAnswer: 1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 123*q**2 + 982*q + 34. Let l(o) = -43*o**2 - 327*o - 12. Determine 6*c(m) + 17*l(m).\nAnswer: 7*m**2 + 333*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 110.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + 1 + (0 + sqrt(539)*-2 + 5)**2).\nAnswer: -10890 + 700*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 63 = 28*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-126)\/(-504) + 133\/(-234) and 37\/104?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5572315 (base 8) to base 16\nAnswer: 16f4cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p**2 + 3*p + 19. Let n(k) = k**2 + 4. Let a(f) = 4*f**2 + f + 17. Let o(y) = -a(y) + 2*n(y). Determine -2*b(j) - 5*o(j).\nAnswer: 2*j**2 - j + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 8*p - 4*p)*(4*p**3 + p - p) + (-p**3 + p**3 + 2*p**3)*(-3 + 3 + 14*p).\nAnswer: 44*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4*h + 3*h - 6)*(-4*h**3 - 4*h**3 + 3*h**3 + (1 + 0 + 1)*(0*h + 0*h + h**3)) as g*h + z*h**3 + r + u*h**4 + a*h**2 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**3*t**3 + 5*c**3 - 42*c*t**4 + 9*c with respect to t.\nAnswer: 6*c**3*t**2 - 168*c*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 4*p = 7, 34 = c + 5*p + 51 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 103686550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*y - 84. Let r be 0\/(-1) + (-10 - y). Solve r*m + k = -m, -5*k = -3*m + 28 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-27)\/5 + (-38)\/(-95). Suppose d - 84 = -2*g - 22, -2*g + 62 = 3*d. Put -2, -1, g, n in increasing order.\nAnswer: n, -2, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.8 + -2. Let t = 0 + v. Let m = -47.3109 - -46.9109. What is the nearest to 0.2 in -4\/9, m, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -5*p**4\/6 - 11*p**3\/3 - 5*p**2 + 46*p. Let y be c(-5). Let b = 71 + y. Round b to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 + 173*h**3 + 13*h**3 - 92*h**3 + 322*h**3.\nAnswer: 416*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 43\/4 of a milligram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-112)\/(-5))\/(107*(-149)\/79715)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 2, -2\/5, -5\/6, 1731?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4777 - 4777 + 102*j.\nAnswer: 102*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6.699882 millimeters?\nAnswer: 0.6699882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = 2*x - 0*x. What is the greatest common factor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71090, 142183, 213276, 284369?\nAnswer: 355462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247853?\nAnswer: 247853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 500 + -5?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -701 - 700 + 2800 - 694 + 5*u - 700. What is x(-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 - 2*s**3 + 4*s**3)*(6 - 1 - 3 + 2 - 2 - 1 + (1 - 2 - 1)*(-6 + 3 + 5) + 0 + 0 + 2 + (3 - 3 + 4)*(-2 - 3 + 7)).\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -491.5 + 491.9. Which is the fourth smallest value? (a) o (b) -1.7 (c) -4 (d) -0.07 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*v - 218, 3*o - 2*v + 52 = 4*o. Suppose -3*q + 3*h = 2*q - o, 0 = 4*q - 2*h - 46. Solve 5*r - 1 = -2*t, 4*t + q = 2*r + 3*r for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c + c + 4*c)*(-4*c + c - c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 + -33. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 2788.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12021333 (base 4) in base 15?\nAnswer: 7710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 d when two letters picked without replacement from gwdvvvnxggvxgvndxv?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -183 - 6*j - 13*j + 17*j in the form v + k*j and give v.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -31. Let t be c - (-3)\/(6\/10). Solve -v + 5*f = 1, 3*f + t = -5*v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1556, 4539, 7522, 10505, 13488?\n\"Answer: 2983*f - 1427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 30\/26*2\/5\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, x: 1, f: 1, i: 1, y: 2, t: 2}. What is prob of picking 3 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-3))**(2\/5)\/(u*u*((u*u\/(u**(-5\/3)*u))\/u)\/u*u*u**3\/u) assuming u is positive.\nAnswer: u**(-97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 986 + -960. Calculate the remainder when 960 is divided by x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -7*s**6\/360 + 7*s**4\/24 - 2*s**2. Let w(v) be the second derivative of i(v). Let l(j) = 2*j. What is w(l(m))?\nAnswer: -28*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 16*n - 11*n, -4*b + 2*n = -44 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -2117?\nAnswer: 2113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5 times 0.075?\nAnswer: -0.2625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4.5 (b) -39 (c) 93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 40 = 4*w. Suppose w = 3*h + 17, 460 = p - 5*h. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104852?\nAnswer: 2, 11, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 8*j**2 + 4*j - 22. Give z(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1655, 1657, 1659?\nAnswer: 1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s + 106. Let i be m(-20). Solve 8*k - 5*k = -i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 5, 3, 6\/31?\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -47*z + 70. What is the units digit of h(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**5\/9 - 16*u**4\/3 + 512*u**3\/9 + 764*u**2\/3 - 494*u - 1860 = 0.\nAnswer: -31, -3, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 10*w - 12. Let h = -100 - -172. Let m = h - 65. Suppose 0 = -2*o + m*o + 45. What is q(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1086 - -1104. What is the greatest common divisor of 6462 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1375\/(-375))\/((-1309)\/(-126))?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o + 1. Let p be 2\/(-8) + 25\/20. Let s be (-6)\/3 + 2 + p. Determine y(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 7:24 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r**2 + r. Let d(o) = -o**2 - o + 1. Let l be d(0). Suppose -l = -4*p + 3*p. Let w be g(p). Is w greater than 14\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)*z)**(-21)\/(z**(2\/5)\/z)**(-2\/3))\/((z*z**0)**(-9)*(z*z**(1\/4))\/z*(z\/z**5*z)\/z*z) assuming z is positive.\nAnswer: z**(227\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, x: 4, o: 3, v: 3}. What is prob of picking 1 o and 2 v?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.3310976 rounded to zero decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 64640561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5699983903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.0953 times 122.2\nAnswer: 11.64566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86 + -3183\/37. Let a = f + 79\/185. Find q, given that -4\/5*q**2 + 0*q + 0 - a*q**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 15. Suppose 3*w + 0*w + 18 = v*h, -2*h - 4*w + 30 = 0. Let n(a) = 9*a - 19. List the prime factors of n(h).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/3, 2, 0.0091.\nAnswer: -1, 0.0091, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 804\nAnswer: -1\/402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**2 - 1. Let u(k) = 8*k**2 + 6*k + 6. Let s(y) = -23*y**2 - 17*y - 17. Let r(a) = -6*s(a) - 17*u(a). What is 2*i(m) - 4*r(m)?\nAnswer: 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 87, 1\/2, -0.12, 7 in ascending order.\nAnswer: -6, -1, -0.12, 1\/2, 7, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/14*814359\/12246.\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2001 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (319*z - 135*z + 1055*z)*(-2*z**2 - 7*z**2 + 3*z**2).\nAnswer: -7434*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 3. Let d = -76.41 + 72.41. Which is the closest to d? (a) -2\/7 (b) q (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13829616, -27659244, -41488870, -55318494, -69148116?\nAnswer: -82977736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 20200004*i + 4. Let g be m(-1). What is g rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -95*u**3 + u + 1. Let j be d(-1). Suppose 3 = z + 2*r + 29, 3*r + j = -5*z. Let x = z + 23. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**5\/30 - a**2. Let z = -1 - -7. Let f(h) = h**2 + 1. Let x(l) = -4*l**2 - 6. Let v(c) = z*f(c) + x(c). Give w(v(m)).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4050 and 9475.\nAnswer: 1534950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3617 + 3573 = 368*p - 170 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 19*n - 7. Let j(k) = -4*k**2 + 54*k + 20. Calculate 6*j(b) + 17*x(b).\nAnswer: -7*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -86553000 to the nearest one million.\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 4*q + 3. Suppose -2*i + 4*h = -i - 15, i - h = 0. List the prime factors of r(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44125 and 24275?\nAnswer: 42845375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -212 and -0.301622.\nAnswer: 63.943864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1549)\/2275 + 1 + ((-35750)\/845 - -42)?\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6229257.9567 + -6228651. Let a = x + -607. Let b = -75.7433 - a. Round b to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -87*z**2 + 2959*z - 39. Calculate k(34).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.22 - 0.62. Let f = j + 0.8. Which is the second biggest value? (a) 1 (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-706)\/10590)\/((-2)\/(-390)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1684*k + 203*k - 4709 - 7350 = -211 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/2*5\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -u - 2, 17*u = 28*u - 17*u - 2*q + 5*q - 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 14*l + 293. Determine p(-19).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -320 + -0.01720997535\nAnswer: -320.01720997535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 271599 and 555?\nAnswer: 50245815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-3 + -7 - 3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -31ad?\nAnswer: 31ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 9764298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*w**2 + 14*w**4 - 241*w - 1602 - 21*w**5 - 1596 + 88*w**5 + 3199 wrt w.\nAnswer: 4020*w**2 + 336*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 13482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**5 + 9*i**4 - 48*i**3 + 36*i**2.\nAnswer: 3*i**2*(i - 2)*(i - 1)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 3621004935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5528 divided by 4.\nAnswer: -1382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 9:28 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68 + 66. Which is the nearest to 28? (a) -2\/17 (b) -1\/4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghhg when four letters picked without replacement from gggvggvghvvh?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -3. Let s be 10776\/180 - (24\/(-45))\/4. Suppose 0 = r, 5*n = 8*n - w*r - s. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 567766.9 centuries?\nAnswer: 681320280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2465 - 2466. Which is the third biggest value? (a) 0.2 (b) k (c) -6 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 156*p + 1187 + 373 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3.2*-0.27\nAnswer: 0.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, y: 2, v: 7, o: 1, c: 7}. Give prob of picking 1 y, 2 v, and 1 u.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6055221 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66370648 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 3 = -d, -4*d + 197 = -5*n + 196 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6736 - 6692. Solve -h = 68*v - 57*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7924*p - 10 = q + 7921*p, 5*p = q + 14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -790263*u**4 + 7*u**3 + 1643*u**2 - 8*u - 4.\nAnswer: -18966312*u + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 2*s = -7, -2*s - 18 = 3*g + s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-34*m - 33*m + 61*m)*((-11*m + 5 - 5)*(1 - 5 + 0) + 0*m - 5*m + 4*m) in the form n*m**2 + u*m + r and give n.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12012121 - 201200?\nAnswer: -12221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 4*p + 14. Let z be b(0). Suppose 0 = -z*h - h + 30. Solve -2*n + h*v = 0, v = n - 5*n - 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3478769 and 488?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 8 - 0. Solve 0 = 7*m - 5*m - i for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 0 + 3862007*v - 3862006*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -168*n**2 + 2. Let x(p) = -3*p - 3178. What is x(g(j))?\nAnswer: 504*j**2 - 3184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -15*q + 5. Let g be i(0). List the prime factors of (-6)\/2 - (-76 + 5 - g).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1026 divide 132442236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 633 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -109041 in 1, -59, -20?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0507 and 24840117?\nAnswer: 24840116.9493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide (66568\/32 - 4) + 6\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5761\/4 + -1441. Let g = -24 - -22.4. Let i = 1.8 + g. Which is the closest to 0.1? (a) 5 (b) i (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 424032 + 2?\nAnswer: 424034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38 - 37) + -3 + (1 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 + 2 - (-1 + 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l - 5*l - 7500 = 0. Let p = l + 297. Let f(u) = -2*u**2 + 2*u. Determine f(p).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/30 and -97\/12894?\nAnswer: 64470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 54703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**5\/3 + 290*o**4\/3 - 2560*o**3\/3 + 1760*o**2.\nAnswer: 5*o**2*(o - 4)**2*(o + 66)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v**1*v*v*v*v*v))**(-1\/14))**(-1\/9)*v*v**(2\/31)*v\/(v*v\/((v\/(v*v\/v**(-6)))\/v*v))*(v**(-1\/2)\/v)**(-1\/13) assuming v is positive.\nAnswer: v**(-24938\/3627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7361938302565 - -5.\nAnswer: -7361938302560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -428 + 1045. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**3\/2 - 2*v**2 - 2*v. Suppose -2*q - q = 5*x + 6, 6 = -4*x - 2*q. Does 3 divide a(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 7*r**2 - 4*r + 18. Let x be o(-6). Suppose 2*b + x*b + 4*b = 0. Solve b*u + 3*u = 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7}. What is prob of sequence dd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 173*d - 6531. Give v(-117).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-2))\/((-20)\/10). Suppose 4*h = g*h + 5. Solve -8 = -o - 3*a, a - h*a + 12 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -12*v**3 - 2*v**2 - 42*v - 10. Let a(l) = -l**3 - 1. What is -10*a(r) + i(r)?\nAnswer: -2*r**3 - 2*r**2 - 42*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 7*g**5\/120 - 2*g**3 - 7*g**2. Let w(q) be the first derivative of k(q). Let p(f) = 3*f. Give w(p(i)).\nAnswer: 21*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 11:56 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -967*h**3 - 10003*h**2 - h - 30551660.\nAnswer: -2901*h**2 - 20006*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 3*l + 2. Let u be b(2). Suppose t + 259 = 2*m, -m + 0*m + t + 129 = u. Suppose 4*a + 2*o = -2*o + 120, 0 = 4*a + 2*o - m. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**4\/12 + f**3\/6 + 8675*f. Let k(i) = -74*i**2 - 12*i. Calculate -12*g(n) - k(n).\nAnswer: 62*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 4, 0, -1.\nAnswer: -47, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**2 + 7 + 0*a**2 - 7.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 w, and 1 g when three letters picked without replacement from {w: 8, g: 1, m: 1, r: 4, c: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 32\/24 - 154\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -49008\nAnswer: -1\/12252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 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: What is 297315252 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 + -0.3. Let k = 11.8 - 5.2. Let g = k - 7. Which is the closest to 1\/2? (a) s (b) g (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 13*k + 3*k**2 + 2*k**3 + 9*k. Let l be c(-3). Calculate the highest common factor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4926 and 20479845.\nAnswer: 2463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57558 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/2))**(-5\/14))**0 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w + 73. Let i be t(18). Suppose 5*d - 44 = -i, 5*d = -3*u + 178. List the prime factors of u.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b*i*n**2 + 205*b*n - 2*i*n**2 - 2*i*n + 14*i - 54*n**3 + n wrt n?\nAnswer: -6*b*i - 4*i - 324*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.3 - 23.4. What is the closest to 0.03 in 0.4, -2, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 430.61500012 - 430.515. Let f = -0.1 + o. What is f rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/((-180)\/44) + 2\/(-10). Suppose -g*o - 2*t = -2728, -9*o = -8*o - t - 1358. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/c**1*c)*c**(-3))\/(c**(1\/10)\/c**(2\/19))*c**(2\/7)\/(c\/(c*(c\/c**(-1\/6))\/c))*c**0\/(c*(c*c**(1\/10))\/c) assuming c is positive.\nAnswer: c**(-18523\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 15983145 divided by 3196629\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 39979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.976 times -1.7?\nAnswer: 6.7592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148242 is divided by 657?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1252, -797, -330, 155, 664, 1203, 1778, 2395?\n\"Answer: k**3 + 448*k - 1701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.98 - 0.02. Let n = -8\/3 - -25\/6. What is the third smallest value in n, -3, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3106 - 31577.\nAnswer: -31577.3106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2778\/7 - 33329\/84. Factor -1\/6*l - 1\/4 + 1\/3*l**2 - i*l**4 + 1\/6*l**3.\nAnswer: -(l - 3)*(l - 1)*(l + 1)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23102 + -23100. Let y = 298\/187 + -24\/17. What is the closest to -2\/7 in -4, x, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**2 - 209*o + 210 = 0 for o.\nAnswer: -210, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/((-216)\/(-78))*(-24)\/39.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9003640, 9003635, 9003630, 9003625, 9003620?\nAnswer: 9003615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -9, -6*j + 3*r + 25 = -4*j. Let a = -6 + j. Calculate the highest common factor of 6 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 2, 1791, -1 in descending order.\nAnswer: 1791, 2, -1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 11*y + 1. Let t be g(-2). Let x(q) = -q - 18. Let p be x(t). Suppose 0 = 4*s - o - 103, p*s + 5*o - 66 = 2*o. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a day?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 10:03 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**2 + 7*s - 150. Let g be v(9). Let q = 502 + g. What is the remainder when q is divided by 49?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4 + 5*o - 2 - 5. Let v(a) = -2*a - 4*a + 4*a + 1. Let g(f) = 11*v(f) + 4*y(f). Find the first derivative of g(p) wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.97 + -0.03. Let q = o - -12.8. Which is the closest to 0.1? (a) q (b) -2\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 1. What is the hundreds digit of 9 - -3 - a - (-133 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1203 + -1?\nAnswer: -1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 45 from 21.8743.\nAnswer: -23.1257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4427, 5616, 6889, 8288, 9855, 11632, 13661?\n\"Answer: 7*k**3 + 1140*k + 3280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1307, 5092, 11401, 20234, 31591, 45472?\nAnswer: 61877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-9.69.\nAnswer: -48.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1, -1, -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1725de (base 16) to base 10\nAnswer: -1517022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -34, -16, 14, 62, 134?\n\"Answer: u**3 + 11*u - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 + -110. Let a = k - -34. Suppose 0 = 3*o - z - 720 + 151, -2*o + 5*z + 362 = a. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (975\/100*(84\/18)\/(-14))\/((-4)\/48)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -676\/5 less than -134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -343a (base 11) in base 9?\nAnswer: -6172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 10*x**2 - 11*x. Let w be (-27)\/6*(-7 - -3). Let a(q) = q**2 - q. What is w*a(m) - 2*o(m)?\nAnswer: -2*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l + 40 = -31*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.085 - 0.126. Let u = m + 4.441. Round u to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -212 - 166. Let m = -21 + 43. Suppose m = 5*n - 73. What is the remainder when r is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17893\/7 + 2563. What is the common denominator of (-16)\/(-8) - (-58)\/4 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (12\/10)\/((-75)\/6250*5)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117265406*o**2 + 4364859*o - 10?\nAnswer: -234530812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17 - -1543.1689972.\nAnswer: 1543.3389972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -18)\/1 - 4. Solve 0 = 2*i + i - t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -24, -49, -84, -129, -184, -249?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -2, 2\/11, -1\/8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.11 + -0.1154. What is g rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z - 39*z - 1440 = -75*z. What is the remainder when 937 is divided by z?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -347.\nAnswer: 69.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**4 - 588*q**3 + 7548*q**2 - 13348*q + 6384 = 0. Calculate q.\nAnswer: 1, 12, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7589*v - 7585*v = 5*t + 55, 2*v = -23*t - 355 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.2283193 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 314 - 309. Suppose 71 = v*q - 544. What is the remainder when q is divided by 34?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2. Suppose 4*s - 4*j - 21 - 19 = 0, 0 = -2*s - 2*j + 12. Suppose -s*k = -17*k + 36. Let b(p) = -k*p + p - 3*p. Give b(x(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 348588730 and 99596780.\nAnswer: 697177460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**4 - 2*r**4 + 6*r**5)*(4 + 3 - 6) + 0*r**5 + 0*r**5 + r**5.\nAnswer: 7*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 8*o - 19. Determine p(-9).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (162*n + 454*n + 770*n)*(1 - 3 + 0)*(-3 + 4 - 3).\nAnswer: 5544*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 5*f**2 + 6*f - 2. Let m = 0 + 5. Let q be p(m). Let t = -25 + q. Solve 0 = -t*n + 6 + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 67 + 116. Let h = k + 17. What is the highest common factor of h and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 + 192*f**2 + 24*f + 2299. Give x(-96).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkkkkkkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/x**(2\/7)*x))\/x*x*x)\/(x*x\/((x*x**(2\/3)*x)\/x*x*x*x*x)))\/((x\/x**(-2\/7))\/x**(-2\/5)) assuming x is positive.\nAnswer: x**(34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 3:36 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 1. Let o be ((-510)\/(-75))\/((-8)\/20). What is the tens digit of (o + n)\/(4\/(-24))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/20)\/(1*-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4\/4 - 36*d**3 + 576*d**2 - 3840*d + 9216.\nAnswer: 3*(d - 24)*(d - 8)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 9*h + 13 = 3*x, -2*x + 38 = 4*h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*a = -7*c + 53*a, 5*c + 3*a = 0. Let l(n) = n**2 + 38*n. Determine l(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 729 and -0.04.\nAnswer: 728.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*a - 8*a + 29 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -5, 5 in decreasing order.\nAnswer: 5, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 16149*621\nAnswer: 10028529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13545\/(-30960)*76\/(-7)?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*t + 33*t + 143 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + f - 0*f + 277, 4*a - 4*f = -364. Let y = a - -117. Suppose -4*p = -3*s + y, p + 3 = 5*s + 1. Let u(n) = n**2 + 6*n. What is u(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 13*i**2 + 15*i - 28. Let w be s(12). Let a be 894\/w - 1 - (-3)\/12. Are a and 112 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 1:09 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 6734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(390\/(-24)) - (1 + -3)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*1 + 9 + -6. Suppose k = -n + 5*k, 0 = -l*n - 4*k. Suppose f = -n*f + 6. Solve -s = -3*s + f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.8 + 161.8\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136742102?\nAnswer: 2, 7, 9767293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/257886870 and 58\/128943435.\nAnswer: 257886870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106 - 52. Suppose 0*w + j = 4*w + b, -w = -5*b - 24. Let a = w - 29\/2. Sort -2\/3, 0.4, a in ascending order.\nAnswer: -2\/3, a, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_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: Which is the nearest to 6455? (a) 3 (b) -1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -190\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 2*c + 68, -131 = -10*z + 59*z - 3*c + 109 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 1 = -4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0457+-0.5\nAnswer: -0.5457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -399 or -1992\/5?\nAnswer: -399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssssssssssssssc.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -6*y + 5*y - 195, -3*g = 4*y + 785. What are the prime factors of 1632\/80*y\/(-6)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 2\/17, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56931 + 138519.\nAnswer: 195450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.57 + 0.47. What is the nearest to 2\/5 in k, -2\/5, -2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-534)\/(-445))\/(14\/10 + -1). Let d(g) = 2*g**3 - 4*g**2 - g + 17. Let a be d(m). Solve -8*s - a - 8 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 5*h**3 + 1723*h - 1723*h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -579, -558, -533, -504, -471?\n\"Answer: 2*q**2 + 15*q - 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x - 2. Let r(w) = w + 1. Let z(t) = 8*t + 53. Let q be z(-6). What is q*r(o) + 2*l(o)?\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.33064l to millilitres.\nAnswer: 79330.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 9*d - 13. What is j(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h - 5. Let i be k(7). Suppose -d + 20 = 3*d - 4*f, 3*f + i = 5*d. Let n = d + -2. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -8*g - 14 + 5 - 4*g**3 - 6*g + 11*g**2. Let i(u) = 9*u**3 - 21*u**2 + 29*u + 18. Let q(a) = 3*i(a) + 7*o(a). What is the tens digit of q(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 737.3 - 736. What is the second biggest value in -2, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 761*c - 766*c - 116, 0 = 4*c + 16. What is the highest common divisor of 318 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.771 take away -0.019?\nAnswer: 0.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2607 - -73013\/28. Find the common denominator of x and -61\/64.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 - 88*v + 88*v.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48560063?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 3*y**2 - 2*y - 2. Let w be f(-2). Let v be (w\/(-4))\/((-1)\/2). Suppose c + 11 = -v*c - 5*g, 2*c = -3*g - 7. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3 (b) 2\/15 (c) -5 (d) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 138*s**2 - 3 + 125*s**2)*(0*s + 2*s + 0*s).\nAnswer: -26*s**3 + 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 0*n**4 + 1\/14*n**3 + 20*n + 0*n**2 + 0*n**6 + 0 + 1\/98*n**7 - 3\/70*n**5. Suppose m(u) = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**12*u**(-9)*u*u\/(u**(-9)*u)*(u*u*u**13)\/u)**(-1\/45) assuming u is positive.\nAnswer: u**(-28\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -152747*r**2 + 305501*r**2 + 33*r**3 - 152752*r**2 to the form p*r**2 + f*r + y + u*r**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139 + 147. Suppose -j - 10 = -6*j. Solve -s = j*v, 5*i = -0*i + v - 21 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 43*c**2 - 4420*c - 935. Calculate k(103).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 - 22*w**2 - 22*w - 30. Calculate o(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 3 (c) 83\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 3*l**2 - 5*l - 2. Let b(k) = -k**3 - 5*k**2 + 7*k + 2. Let w be b(-6). Let j be z(w). Factor -3*f**3 + 6*f**2 - 5*f**2 + j*f**2.\nAnswer: -3*f**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 115, 113, 111, 109, 107, 105?\n\"Answer: -2*p + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25647261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/78 and 55\/447.\nAnswer: 11622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u - 30 = -31*u. Which is the smallest value? (a) 70\/17 (b) u (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -717 - -7?\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 339.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-6))\/(1\/3). Let i(w) = 83*w - 14. Let b(g) = 1. Let n(j) = y*i(j) + 6*b(j). Let q be n(6). Round q to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/4 + 87*n\/2.\nAnswer: -3*n*(n - 58)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 45\/42 + 12\/(-21). Sort 0.4, x, 6 in increasing order.\nAnswer: 0.4, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1605 divide 21797505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 7:28 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 46545, 0.2?\nAnswer: 46545","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 156*m. Let i(g) be the second derivative of -g**7\/1260 + 2*g**4 - g**3\/3 - 58*g. Let b(o) be the third derivative of i(o). Calculate q(b(s)).\nAnswer: -312*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 44 - 2. Let t be (-3)\/6*o + 0. Let n(k) = k**2 - 2*k. Let m be n(3). Solve j + 3*j - m*y = t, 12 = 4*y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y + 2*y - 9 + 3 + 4*y. Let j be d(8). Solve -6 = 4*q - 2*x, 6 + 3 = -j*q - 5*x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 14*c + 14. Let h(l) = 7*l + 7. Let i(g) = -7*h(g) + 4*k(g). Let v be 284\/497 - 53\/7. What is i(v)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-64)\/60 - 4\/(-10). Let l = 0.6 + -2.1. Let a = l - -6.5. Sort 0.1, a, q in increasing order.\nAnswer: q, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*l + 6*l. Suppose 0*p = f + l*p + 32, 2*p - 72 = 3*f. Let k be (1\/f)\/(1\/4). Which is the second biggest value? (a) 1\/7 (b) 1\/4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1525 is divided by (3 + -4 + 35)*(-5 - -6).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.11 + 6.61. What is g rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3899*d - 5899*d = -186162 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 2*f - 2*f)*(0 + f + 0 + (1 - 2 + 0)*(23*f - 2*f - 88*f)).\nAnswer: -68*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 2*w - 95. What is j(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/35 or -55\/3?\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36064, 72133, 108204, 144277?\nAnswer: 180352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*d + 140 = 0. Suppose -6*o - 24 = -s - o, -d = -3*s + 4*o. Sort -5, 3, s.\nAnswer: -5, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = 3*z + 9, -3*z + 9 = 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 2:31 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4939*y**2 - 5824*y**2 + 3355*y**2 to q + o*y**2 + v*y and give o.\nAnswer: -7408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**2 + 15*t**2 - 215*t**3 + 732*t**3 - 3*t + 3*t - 6.\nAnswer: 517*t**3 + 3*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pc when two letters picked without replacement from {c: 1, p: 3, g: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*b - 3228 = 0, -1071 = -2*d + b + 1066. Suppose d = 5*t - 459. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**4\/8 - j**3\/3 + 21*j**2\/2 + 8. Let v(u) be the second derivative of i(u). Suppose -9 = 4*s + 7. Determine v(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 170 + -168. Solve 0 = s + v - 4, 0*s + b*s = 3*v - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6733 - 2*v**2 + 6733 + 21*v + (-2*v + 1 - 1)*(-2*v + 4 - 4) - 3*v - v**2 + 3*v + 4*v**2 - 5*v**2 - v**2.\nAnswer: -v**2 + 21*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*r - 9*r + 101*r.\nAnswer: 170*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -614 - 55*z - 52*z - 41*z + 140*z.\nAnswer: -8*z - 614","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 - -0.7. Let b = 0.1 + t. Let f = 0.5 - b. Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 54 - 9 = 0. Suppose 3*p + 22 = 5*c, -2*c - p + t = -2*p. Suppose c*n + 6 = 2*b - 23, -20 = -b - 3*n. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 10:10 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 426\/25. Suppose -65*t + 54*t = 0. Which is bigger: t or o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**3 + 10186225*o**2 + 5187638106560*o - 326861631090540 = 0.\nAnswer: -1018654, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 10 = 14*c. Let i be (-4 - c*-2)\/(-1) - -1. Sort -1, i, 1 in ascending order.\nAnswer: i, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510411 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75 - -84. Suppose -s*m = -17*m + 1064. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 2*y = -17, -3*y + 0 - 7 = -5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76117 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 + 354 = 2*y. Let u = y - -76. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*l**2 - 444172*l + 20820 = 0. Calculate l.\nAnswer: 3\/64, 1735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -72*s**4 - 88*s**4 + 69*s**4 + (-4*s**4 + 5*s - 5*s)*(0 - 1 + 0).\nAnswer: -87*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 288 and 1392?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/15)\/((-4)\/42). Suppose i = -3*a - g, -3*i + 6 = 2*a - 5*i. Let w be (-2 + 5)\/(15\/(-10)). Sort 0, w, a.\nAnswer: w, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/(-196) + 256\/(-14))\/2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16172, 32329, 48486, 64643, 80800, 96957?\nAnswer: 113114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 1070)\/7 + -3. Let u = i + -147. What is the remainder when 8 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 2. Suppose -4*o + 3*y = 3, o - y + 0*y + 2 = 0. Suppose o*d + 1000 = -g*d. What is d rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9 + 7)\/(1 + 0). Let j = o - -56. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -544 + 319. Let o = 230 + t. Solve 13 = 2*h - 3*y, 4*y + o = -5*h - y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -286 + 150. Let f = 148 + o. What is the highest common divisor of f and 516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o + 1. Let z = -23 - -43. Suppose 3*s + z = 8*s. Suppose 0 = s*q + 5*q + 27. What is x(q)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -70*l + 464. Is d(-14) a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7*z - 5. Let x(j) be the third derivative of 0*j + 5\/6*j**3 - j**2 - 1\/4*j**4 + 77. Let m be (-6)\/((-1)\/2 + -1). Give m*l(y) + 5*x(y).\nAnswer: -2*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11414 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16710665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 714, 716, 732, 762, 806, 864?\nAnswer: 936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37674364?\nAnswer: 2, 7, 13, 29, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-18)*18\/63)\/((-1)\/30)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1038 + 1039. Let n = 1 - 2. Which is smaller: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -4, 16981*n + 2*g + 31 = 16978*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2111*r**2 - 8*r - 16. Let b(h) = -704*h**2 - 3*h - 6. Give 8*b(i) - 3*q(i).\nAnswer: 701*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/5 (b) 0 (c) -1 (d) 1144 (e) 686\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1059)\/(-6) + 1\/2. Let k = t - 258. Let j = -565\/7 - k. Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1747.6255062 and -0.612.\nAnswer: -1748.2375062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 5*m + 5. Let y be h(-5). Suppose 0 = y*t - 0*t. Is 2\/5 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 10*b**2 - 7*b - 3. Let s be f(-9). Let r(x) = -23*x + 72. Let a be r(3). Let g be s\/6*(-1 + a). Let q(i) = -i**2 - 9*i + 1. Determine q(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 1. Let p(o) = -2*o**2 + 4. Suppose -2*i = -6 - 0. Let t(q) = i*d(q) - p(q). Find the first derivative of t(u) wrt u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 245 - 335. Let z be ((-4)\/6)\/(0 + 20\/s). Let t(i) = 2*i**2 - 3*i + 6. Let j(v) = -v**2 + 2*v - 3. What is z*t(l) + 5*j(l)?\nAnswer: l**2 + l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6772899075 to the power of 1\/2, to the nearest integer?\nAnswer: 82298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-4) - (-1)\/((-116)\/8). Which is smaller: h or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from {l: 1, a: 3, d: 2, w: 13, j: 1}?\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.73 (b) -10 (c) -3 (d) -7.3 (e) -1 (f) 0 (g) -0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -0*a. What is the common denominator of (-36)\/24*172\/96 and (-5)\/(-14) + a\/3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**5 - 556*f**4 - 3428*f**3 - 7492*f**2 - 6944*f - 2320 = 0 for f.\nAnswer: -2, -1, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.594 times -480904\nAnswer: 285656.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.452 and -47?\nAnswer: -538.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 44, 165, 396, 773, 1332?\nAnswer: 2109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 528.5 + -461. Let b = -31.5 + p. Which is bigger: 2\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyyi when four letters picked without replacement from {k: 1, i: 5, y: 2, e: 2, u: 4}?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -544*h**3\/3 + 435*h**2 - 203*h. What is the first derivative of k(v) wrt v?\nAnswer: -1088","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 106*k**2 + 220*k**2 - 3 + 449*k**2 - 9.\nAnswer: 775*k**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3729*y**3 + 13187*y**3 + 17626*y**3.\nAnswer: 34542*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 0*n + 4. Suppose -n*r + 4 = -4*b, 5 = r + 5*b - 2. What is the second derivative of o + 0*o - 4*o**r + o wrt o?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 15*n + 17. Let t be q(-12). Let r = t + 23. Let b(k) = k**2 - 3*k - 1. Let s be b(r). Solve 3 = -s*d - 4*g, -3*g - 6 = 5*d + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x - x)*(783 - 1025 + 480)*(-3 - 3 + 3).\nAnswer: 714*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*m**2 + 29*m**2 - 24*m**2 + 2*m**3 + m**3.\nAnswer: 3*m**3 - 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c8 + 4?\nAnswer: cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(2\/6*(-12)\/20). Suppose -3*m - 141 = -r*s - 1115, 4*m + 5*s - 1287 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -100034 - -26609125\/266. Calculate the common denominator of f and -111\/20.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -219*j - 3069. Determine k(-12).\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 15, -5*a + 0*d = -5*d - 245. Let r = 78 - a. What is the greatest common divisor of 17 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 4*y**3 + (2*y**2 - 4*y + 4*y)*(44*y + 141*y - 28*y) as o*y**2 + u*y**3 + a*y + p and give u.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 2, 4, -0.516?\nAnswer: -0.516","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*w - 2980 = -61*w. Calculate the remainder when w is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 232*y**2 - 234*y**2 + 698*y**2 - 231*y**2 as u + f*y + c*y**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1500 - 13556?\nAnswer: -12056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 170 and 6?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4864\/553875 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1955914 and 5146?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -o + 186. Let v(q) = q + 3. Let r(h) = 5*h + 13. Let j(x) = -2*r(x) + 9*v(x). Give 2*f(y) + j(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 9*c**3 + 1387*c**2 + 246*c + 14175. Give z(-154).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27538000 rounded to the nearest 1000000?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150691820.\nAnswer: 2, 5, 71, 106121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.6*-305.\nAnswer: 4453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*s - 72*s = 54. Calculate the smallest common multiple of s and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 + 1)*5*245\/5?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 2. Suppose -2*j + 0 + m = 0. Let q = j + -5. Let h(t) = t**2 + 2*t - 2. What is h(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -0.4, 1\/20, -2, -0.03486, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**3 - 3*z**2 - 2*z - 2. Let u(n) = 4*n**3 - 5*n**2 - 3*n - 3. Let x be 12 + -6 - 4\/(20\/15). Give x*u(f) - 5*q(f).\nAnswer: 2*f**3 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -307001994?\nAnswer: -307001998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (27\/15)\/(1\/5). Suppose m = 5*v - 2*v. Do v and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -20. Let r = -34 + 42. Calculate the least common multiple of r and j.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (0\/6 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 2:47 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10981511.\nAnswer: 23, 20759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4154.424996 - 4154.3. Let k = n - 0.125. Round k to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4, -5, 2\/3, 0.2 in increasing order.\nAnswer: -5, -0.4, 0.2, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*m + 4*w + w, -7 = 2*m - w. Suppose 0*y + 120 = -4*y. Let v be (-1)\/3 - (-110)\/y. Put 2, m, v in descending order.\nAnswer: 2, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 = -199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19570?\nAnswer: 2, 5, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -209 + 14744. Is 47 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4995\/(-10))\/9*1*-2?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 279706107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/3 - 11\/(220\/(-72)) and -101\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652455 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4 + 3 = 0. Let n be 17\/(-4) - g\/(-4). Let k(f) = 4*f**2 + 4*f + 8. What are the prime factors of k(n)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c890 (base 13) to base 12.\nAnswer: 14135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 13 + 12)*(5 - y**3 - 5) + 0 + 2*y**3 + 0 in the form q*y + a*y**2 + s + d*y**3 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839696448.\nAnswer: 2, 3, 4373419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*(-4 + (sqrt(1573) - (0 + sqrt(1573) + 5)) + -1) + 4.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -14*c**3 + 2147*c**2 + 1389*c - 470. Calculate p(154).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 2*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 2\/15 (c) 225\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8.436916ug?\nAnswer: 8436.916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = -3*u + 1948. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 less than -105?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s. Let i(l) = -6*l. Let h(k) = 3*i(k) + 4*x(k). Let a be h(1). Suppose 33 = a*n + 5*o, -5*n + 25 = o - 69. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, -20, 1\/3, 1.5 in ascending order.\nAnswer: -20, 0.03, 1\/3, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5744, -5873, -6112, -6461?\nAnswer: -6920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0)\/2 - (-15)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 17*d**4\/12 - 41*d - 24. Let p(c) be the first derivative of y(c). Let x(t) = 2*t**2. What is x(p(h))?\nAnswer: 578*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-18) - (-166)\/(-18). Let x = n - -19. Suppose -x = -5*m + 20. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106.72 * 66178\nAnswer: -7062516.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 718964, 718959, 718938, 718895, 718824, 718719?\n\"Answer: -y**3 - 2*y**2 + 8*y + 718959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/(-4))\/((-8)\/16). Suppose -4*c = -v - 13. Find the second derivative of 2*h**5 + h + 2*h**c - h**5 wrt h.\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/(((-17)\/(-51))\/(26\/3))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261*u**3 + 10*u**2 - 10*u**2 - 258*u**3 + 560*u**3.\nAnswer: 41*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*r**2 + 8*r**2 - 3*r**2 + 2*r**2 to p*r**2 + g + z*r and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4*0\/(-5). What is the nearest to h in -2\/9, 2\/5, 0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.099 - -69\nAnswer: 68.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 177038*g**2. Let y(d) = -8*d**2 - 62. Calculate y(i(h)).\nAnswer: -250739627552*h**4 - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*v - 2678 + 1685 - 7408 = 0 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16114.913 rounded to the nearest one hundred?\nAnswer: -16100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 15 = 5*g. Suppose g*u - 111 = 4*n, -2*u - n + 15 = -u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 1.35.\nAnswer: 0.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2 + 20*g**3 - 3.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 228741125 to the nearest integer?\nAnswer: 15124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/3 - 208*m**2\/3 - 2944*m\/3 - 11264\/3.\nAnswer: -2*(m + 8)**2*(m + 88)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (157\/4396)\/(3\/8)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/869883151?\nAnswer: -4\/869883151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*f**2 + 2*f**2 - 19*f**2 + 4*f - 2*f in the form z + l*f + c*f**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*w**3\/13 - 140*w**2\/13 + 718*w\/13 - 224\/13 = 0. Calculate w.\nAnswer: 1\/3, 7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 4:22 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/(-20) - (-2 + 0). Solve 0 = k*l - 5 + 17 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4152 is divided by 1379.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 83. Calculate n(74).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6557051?\nAnswer: 113, 58027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.26 + 0.74. What is the closest to 0 in l, 0.13, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*u - 45 - 99*u - 27*u + 43 - 4*u to x + b*u and give b.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 14*z**2. Let m(l) = 3*l**2. Let i(c) = 21*m(c) - 4*s(c). Let h(k) = 6*k - 5. Let p(n) = 7*n - 6. Let g(d) = -6*h(d) + 5*p(d). Calculate g(i(v)).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 43\/4 of a millennium?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(0 - 1 + 2)*(1 - 5 + 1)*(1 + x - 1).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 4109.\nAnswer: 36981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 6787*p**4\/24 - 3685*p**3\/6 - 19*p**2 - 179. What is the derivative of f(a) wrt a?\nAnswer: 6787","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q - 105. Let w = -88 - -65. Calculate the smallest common multiple of m(w) and 35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, z: 4, j: 4, y: 1, o: 1, e: 1}. Give prob of sequence zz.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 83836134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 12 - (-1 - 1) - 19) + 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**4\/2 + i**3\/2 + 3*i**2\/2 + 82*i - 1. Let t(m) = m**2 + m + 1. Calculate 2*n(d) - 6*t(d).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + (3*sqrt(70) - sqrt(70)))*-1*-4)\/((-5*3*sqrt(110) + sqrt(110))\/sqrt(11)).\nAnswer: -6*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16136144 is divided by 672.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 - 46. Let m(w) = -w**2 - 2*w - 6. Let v be m(s). Let z = v - -35. Solve -10 = -z*u - 30 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1572 and -352.4.\nAnswer: 553972.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -190.6 rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -1491*j - 4. Let m(k) = -741*k - 2. Calculate -11*m(c) + 6*y(c).\nAnswer: -795*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0*2\/6)\/2. Find the first derivative of 67*m - 67*m + 25 - m**4 + j*m**4 wrt m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6485460 and 1380.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 32 - 12)*(-4*v + 0*v - v)*(3*v**2 - 9*v**2 - 5*v**2).\nAnswer: 1705*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.43 and -139119.\nAnswer: -139118.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -5, 37, 2 in descending order.\nAnswer: 37, 2, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3120, 5915, 8398, 10563, 12404, 13915?\n\"Answer: -g**3 - 150*g**2 + 3252*g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 4. What is the remainder when 62 is divided by x(-18)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*f**4\/2 + 154977*f**3\/2 - 313641*f**2\/2 - 463857*f\/2 + 2223 = 0 for f.\nAnswer: -494, -1, 1\/105, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 14 = 3*j + 1, -8*j + o + 234 = 274 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -26 (b) 1 (c) -4 (d) -0.1 (e) -15 (f) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-6))\/(5\/(15\/(-6)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4484 and 49248.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-100)*77\/(90090\/(-325)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a factor of 2654820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 305 - 2*n - 40 - 37 - 7*n**4 - n - 9*n**4 wrt n?\nAnswer: -64*n**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04 + 5.04. Sort 0.02, b, -4, -1\/5.\nAnswer: -4, -1\/5, 0.02, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 12 + 24 = 0. Suppose x*z = 15 - 3, -364 = 4*k + 4*z. Let r = -93 - k. Which is the nearest to 2\/5? (a) r (b) -2\/3 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 7447074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 - -53. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*((-21)\/(-6) + -3). Suppose 5*z - 2*z - 15 = v. Solve -3*g - 10 = z*m, g = 5*m - 0*g + 30 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 58) + -2 - -52.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -7. Suppose -x + 4 = 4*n, 5*n - r*x - 10 = 4*n. Let i = n + 1. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -12*x**3 - x - 6. Let j(y) = -11*y**3 - y**2 - y - 6. Let z(i) = -4*j(i) + 5*q(i). Let c be z(-6). What is c rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-2 + 2 + -37 - (-17 + 10))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, o: 1, k: 2, r: 2}. What is prob of picking 1 r and 1 k?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19716201?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-417*d + 98*d + 176*d)*(5*d - 36*d - 4 + 4).\nAnswer: 4433*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znn when three letters picked without replacement from {n: 5, z: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 4) + (5 - (6 + -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 6*k + 3. Let m = -23 - -39. Suppose -7*s = -3*s + 4*h - 16, 4*h = s + m. Let v = s + 5. Determine w(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by 39.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8510 divided by -74\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-19)\/4)\/((-3)\/24). Suppose -5*i - z + 198 = -n, 2*n - 10 = 0. Let m = -20 + i. Calculate the greatest common divisor of m and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccccc. Give prob of sequence ccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 4*b + 1 + (1 + 2 + 1)*(b - 3*b + 0*b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 330\/685153 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 79959\/(-189) - (-6)\/21. Let a = t - -428. Calculate the common denominator of (-3)\/(-12) - (-346)\/88 and a.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 8*a = -25 - 39, -2*a = -z - 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tby when three letters picked without replacement from ybvvbvtybtvybtvttvv?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -418463 (base 9) in base 4?\nAnswer: -330302022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 229, 1066, 2461, 4414?\n\"Answer: 279*o**2 - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -157 + 159. Is 67\/4 + f - (-12)\/(-16) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2262820 = -2262912?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpaav. What is prob of picking 1 x and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 13*n**2 - 15*n + 13. Let l be d(-14). Let x = l + 8. What is the remainder when x is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i + 8. Let w be t(7). Let h = w + 54. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*n + 5*b - 107, 0 = 4*n + b - 90. What is the highest common divisor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -81 + 6. Let u = f + 29\/2. Is u <= 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -5*(-8)\/20. Let h(r) = r**2 + 4*r - 8. Let a be h(2). Solve g - a = -g + c*j, -3*g = j - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b. Let x(h) = -h + 3. Determine n(x(r)).\nAnswer: r - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a**3 - a - 6. Let w(n) = -15*n**3 - 2*n - 13. Let c(y) = -y**3 - 4*y**2 + 5*y + 6. Let i be c(-5). Let h(p) = i*w(p) - 13*k(p). Give h(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 52. Let i be (-2)\/12 + r\/6. Let l(z) be the first derivative of z**4\/4 + z**3 - 3*z**2 + 7*z + 6. Give l(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewaa when four letters picked without replacement from aewssagwsasmgswgswwm?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-4)*(-8)\/10. Suppose 2*k - 75 - 65 = 0. Let v be (5\/k)\/(1\/8). Is v equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iimmfjfetfm. What is prob of sequence fjef?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 338550 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 416*u - 61 - 414*u - 602 in the form i + o*u and give i.\nAnswer: -663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-6))\/((-4)\/(-18)). Let w be -2 + (0 - 0) + j. What is the remainder when (-2)\/w*(-5 - -1) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -501.05523 to the nearest integer.\nAnswer: -501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 24096?\nAnswer: 24096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -5500179 at least as big as -5500055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12454, -24966, -37478, -49990, -62502?\nAnswer: -75014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 454*a**4\/15 + 4076*a**3\/15 - 22336*a**2\/15 + 18196*a\/15 - 26 = 0.\nAnswer: -13, 5\/227, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 2*r + 12. Let k be j(4). Suppose 0 = 2*q - k*q + 18. Calculate the least common multiple of q and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*i + 5*i - 31 = 0, -3*x + 4*i = 7. Let a = 4140.9 + -4141. Is x smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 - x**2 + x**2 + (2*x - 2*x + 3*x**2)*((1 - 1 + 3)*(1 - 6 + 4) + 5983 + 4435 + 1191) to the form o*x + j + h*x**2 and give h.\nAnswer: 34820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1184 divided by -4\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.6, 3.5, 5, 0.3, 17 in decreasing order.\nAnswer: 17, 5, 3.5, 0.6, 0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 5:12 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107671536?\nAnswer: 2, 3, 7, 223, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*s + z + 2*z, -2*z = 2*s - 34. Solve 0 = -2*r - 2*o - s, -4*o = 2*r + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2692 * -0.1.\nAnswer: -269.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2617783109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5 - 3. Let j be (3*30\/27)\/((-28)\/(-42)). Let s be 2\/(-4) - (i + -3)\/j. Which is the nearest to 0? (a) 3\/7 (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -457250009 = 5*j - 3*k, 3*k - 80037852 - 11412157 = j. Round j to the nearest one million.\nAnswer: -91000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgxs. What is prob of sequence sxg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-4\/5))**(-4\/5)*q**(-5\/6)*q**(11\/2) assuming q is positive.\nAnswer: q**(242\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2829815 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from {o: 7, f: 3}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 3*r. Let h be (-3)\/(-2 - (-9)\/3). What is x(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16, -1, -56, -149, -280?\n\"Answer: -19*z**2 + 40*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -214 - -221. Calculate the remainder when (-1 + -2)\/((-3)\/34) is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i - 2*i**3 + 0*i**3 + 0*i**3 as h*i**3 + q*i + u*i**2 + v and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16082 and 106760.\nAnswer: 50497480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -17982840 divided by -8\nAnswer: 2247855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -0.2, -0.1, -0.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a + 30*a**3 - 2 - 26*a**3 + 5*a - a**4 - 2*a**2 - a**4 to the form r + v*a**3 + p*a + k*a**2 + l*a**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -0.05, 1\/159?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 0 (b) -0.105 (c) -1\/4 (d) -4 (e) 259 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 8*s**3 + s**2 - 10*s. Let d(x) = 9*x**3 + x**2 - 11*x. Calculate 6*d(i) - 7*y(i).\nAnswer: -2*i**3 - i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from lgqggoggglqoglog.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**5 + 6*d**4 + 6*d**3 - 20*d**2 - 39*d - 18.\nAnswer: (d - 2)*(d + 1)**2*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -61911.5*-5\nAnswer: 309557.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 179333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220\/14 - 8\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111.09 * -4\nAnswer: -444.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 5) to base 11.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 3, 0.5, -56, 0.4, 23 in increasing order.\nAnswer: -56, -1\/8, 0.4, 0.5, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 796518 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 40 + -3 + -2 + 4. Calculate 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 13 less than -4.9?\nAnswer: -17.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -8*z**2. Let g(a) = -49697446*a. Determine k(g(r)).\nAnswer: -19758689111383328*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*a**3 - 4*a**2 + 24*a**3 + 5*a**2 - 6*a**2 + 101*a**3.\nAnswer: 64*a**3 - 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 20 = -0*x - 2*x, -x = -4*y + 22. Let c be (-19)\/(-7) + (-4)\/x. Solve c = -o + 4*s + 10, o = 2*s + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213073.\nAnswer: 7, 61, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o + 27 = -11*o. Suppose -o*r + 429 + 246 = 0. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x. Let k(j) be the first derivative of -2*j**3 + 25. Calculate h(k(z)).\nAnswer: -42*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -61300 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from rbrbbbrb.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) 5\/6 (c) 0.4 (d) -0.3 (e) 5 (f) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -3*z, -o - 386 + 376 = 2*z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2708*m = -4*l + 2704*m - 40, -2*m = -5*l - 36 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -67*m**2 + 13*m + 7. Let j(t) = -46*t**2 + 9*t + 5. Let r(w) = -7*j(w) + 5*o(w). Let p(v) = -52*v**2 + 9*v. What is 2*p(u) - 9*r(u)?\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 52 = 5*c. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00133899055 to 6 decimal places.\nAnswer: -0.001339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 405 (base 9) to base 4\nAnswer: 11021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73953119?\nAnswer: 23, 509, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/(-105))\/(36\/(-126)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21112 (base 3) in base 2?\nAnswer: -11001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4, -1, -42, -8 in descending order.\nAnswer: 0.4, -1, -4, -8, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-13)\/((-1716)\/154)*(-6)\/28?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 10272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 0. Let k be ((-9)\/(-6))\/(2\/(-4)). Let b = -7 - k. Sort 2, y, b.\nAnswer: b, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23040 divided by -5760.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxooxxxxxxx. What is prob of picking 2 x?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -79.4 * -0.4\nAnswer: 31.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 1. Let a be n(-5). Let u be (-4)\/(-1) + (-4 - a). Factor 6*z**4 + 4 + u*z**5 - 2*z**2 - 2 - 2.\nAnswer: 2*z**2*(z + 1)**2*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h + 14 = 0. Let w be 14\/h*2\/18. What is the second smallest value in -4, w, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 8*m**3 - m**2 + 5. Does 5 divide v(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 1125 - 909. What is the smallest common multiple of 297 and a?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-86)\/(-70) - 1)\/(14*2\/140)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 4, 1, 130, 1\/2, 134?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1234317 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -130612642 (base 7) to base 10\nAnswer: -8339683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-seven quarters of a meter?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 6*b**2 - 18*b + 21. Let i be h(9). Let f = -100 + i. Solve 0 = 2*y + f*y - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -666, -1345, -2012, -2661, -3286, -3881?\n\"Answer: s**3 - 686*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + -3)**2*2.\nAnswer: -120*sqrt(5) + 1018","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 2*z**2 - 2*z + 89. Let c be g(0). Suppose -b = -5*w + w + 66, 0 = 5*w + 2*b - c. What is the remainder when w is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - d - 2 + (-1 + 2 + 0)*(-3*d + 5*d - 3*d) + 4 - 4 - d)*(1 + 0 + 0)*(-4 - 11 + 7).\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhxxx. What is prob of sequence xh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 13911 = 7248. What are the prime factors of v?\nAnswer: 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20474942.53 to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 241*l - 981. Determine r(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukud when four letters picked without replacement from {k: 1, u: 2, d: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132320 (base 5) to base 16.\nAnswer: 14d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v. Suppose v*n + 4*n = -3*f - 88, -22 = n - 2*f. Let w = 24 + n. Solve w = -5*l - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14094852*d + 7047427*d + 2*d**2 + 6*d**2 - 3*d**2 - 3*d**2 + 7047425*d.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 166370 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 11:22 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.669498 litres to millilitres.\nAnswer: 8669.498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -437*b + 1788*b + 1543*b to the form m + l*b and give l.\nAnswer: 2894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 33*l + 45. Give u(-3).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7203 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10034 is divided by 97.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -3*o - 0*o + 6, -5*d = -15. Let h(g) = -3*g + 7*g + 5 - 3 + 2*g**2. What is the units digit of h(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - d + 3. Let l be p(-6). Let z(k) = -k**2 - 31*k - 26. Let s be z(-12). What is the remainder when (-10)\/l + s\/18 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6095669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 15. Suppose 2*t + 3*k = 5, 0*t + y*k + 8 = t. Suppose 2*r + 0*r = t. Solve r*g + 10 = 7*g, 4*g = v + 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*p**4 + 1967*p**3*s**3 + 84177*p*s**3 - 2*p*s**2 wrt p.\nAnswer: -60*p**2 + 11802*p*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*1 + 2 - (-136)\/34. Solve y = 11*i - 3*i + 40 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -52 - -103. Let h = f + -50.9. Let r = -0.8 - 0.2. What is the closest to r in h, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -511690 divided by 255845?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 480764 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2. Suppose -3 = -c + 2*n, 0 = -5*n + 1 + 4. Let p(f) = -f**2. Let y(b) = c*p(b) + 6*o(b). Let v(d) = -3*d**2. What is v(y(g))?\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 636649957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n**3 + 4*n**3 - 3*n**3)*(0*n + 5*n - 2*n)*(2 - 5 + 1)*(-1 + 0 - 3) to the form h + w*n**3 + l*n**2 + r*n + u*n**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 121\/4 - 61\/2*w + 1\/4*w**2.\nAnswer: (w - 121)*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-214)\/(-120) + (30\/25)\/(-6). Is 3 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-38)\/(-9) - 12\/54. Suppose 0 = -3*k - l*x + 90 + 64, 255 = 5*k + 5*x. Does 25 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -l**3\/3 + 6*l**2 + 6934*l + 3. Let c be (-1)\/4 + 41\/4. Give t(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -43, -85, -161, -283, -463, -713, -1045?\nAnswer: -1471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -885 - -886. Is -38\/423 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15.25 and -0.3.\nAnswer: 4.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdssdsss. What is prob of picking 2 d and 1 s?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*b - 20, 4*b + 2*m = b + 12. Suppose -18 = 4*g - 0*j - j, -2*g + 4*j = 16. Sort b, g, -1 in descending order.\nAnswer: b, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 796243103 to the power of 1\/2, to the nearest integer?\nAnswer: 28218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 7*a + 3. Let y be t(-7). Suppose -8*i = -4*i + d - 119, 2*d + 81 = y*i. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5) + (-4)\/10. Let x be (g - (-2 + 3))*-15. List the prime factors of x\/1*1\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6 and -0.8?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 199, 341, 483, 625?\nAnswer: 767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 0.01 (c) 0.2 (d) 256\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4, -2, 8, 26, 52, 86?\n\"Answer: 4*q**2 - 10*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*z - 199*z - 10 = 0. Solve -z*j = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = 4*l - 5*z - 3, -z = -3*l + 26. Solve s + 18*g + l = 15*g, 0 = -2*s - 7*g - 15 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33463 + -51?\nAnswer: -33544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*g**2*q**3*t + 10*g**2*q**2 + 4*g**2*q*t + 5*g*q**3*t + 4*q**3 - q**2*t + 2*q**2 - 2*q*t wrt q?\nAnswer: 36*g**2*t + 30*g*t + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15430025459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-2*h + h - h) + 2*h - 3*h - h + (3 - 1 + 0)*(-7*h + 4*h - 2*h)*(3 + 0 - 5).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 795.90002 to the nearest 10.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1863 = 15*t - 24*t. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k + 3*l = 0, 23666*k - 23663*k - 68 = 5*l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*i + 1 = 0. Let h = i + 2. Is h equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -19 + 15 - (2 - 0) - 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -20. Sort -5, 3, 4, o in decreasing order.\nAnswer: o, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 784\/(-98)*45\/(-24)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 5, 114, 24, 2\/5, -7?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + 0 + (-2 - -1). Let p(l) = -22*l + 3. Let x be p(0). Solve z*t - h - x = 0, 2 = t + t + 3*h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -54 + 30035*s - 217 - 30023*s - s**2 in the form q + y*s + d*s**2 and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1348)\/(1*2\/(-5)). Let s = 8591 - o. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(-3)*v*(v\/v**(1\/4))\/v*v*v*(v**(-3)\/v)\/(v**(3\/7)*v)*((v**(-1\/2))**(-32))**(2\/105) assuming v is positive.\nAnswer: v**(683\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-7)\/14*-2*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*w - 1. Let i(h) = 3*h**3 + 18*h**2 + 11*h - 21. Let j(a) = -4*a**3 - 27*a**2 - 16*a + 32. Let y(v) = -7*i(v) - 5*j(v). Is 9 a factor of y(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*w = 32, -3*f = 3*w - 117 + 6. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -1549*t**2 - 2*t + 1. Let p be s(-2). Let x = -20291 - p. What is x rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 323253007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, 576 in descending order.\nAnswer: 576, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 51 + -1 + 6 - (-4)\/2. Find the common denominator of 0 + (x\/(-36) - 1) and 35\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 + 134*o - 138. Let w be q(66). Is w at most as big as -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -13*k**4\/2 - 2*k**3 + 11. What is the third derivative of g(t) wrt t?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -60? (a) 0.5 (b) -0.2 (c) -27 (d) 10\/3 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 9*h + 9. Let x be v(-7). What is the units digit of 1\/x + 56\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c**(2\/17))*c)\/(c\/(c\/c**4))*((c**19\/c)\/c)\/(c**(-10)\/c) assuming c is positive.\nAnswer: c**(406\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -12. Suppose -2*v + 3*g = -10 - 6, -g = -2. What is the units digit of (77\/v)\/(i\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 208*x - 1456. Let f be m(7). Sort 2, -1, f.\nAnswer: -1, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23842 and 364?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 53 + 55. What is the least common multiple of p and 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 12 = 0, -4*j + 3*k = -0*j - 243. Let q(f) = 9*f + 1. Let y be q(1). Suppose 4 = 2*t - y. What is the greatest common divisor of t and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35775 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 13*c**2 + 3*c - 2. Let u be v(1). Find the third derivative of -14 + u - 5*g**2 + 12*g**4 + 2*g**4 wrt g.\nAnswer: 336*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 1. Let c(x) = -2*x + 4. What is c(q) + n(q)?\nAnswer: -q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbbvbbbb. Give prob of picking 1 v and 3 b.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.05 to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*m**2 + 99*m**2 + 42*m**2 - 300*m**2 + 103*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 447\/5 - (-15)\/25. Calculate the lowest common multiple of ((-216)\/g)\/(3\/(-10)) and (-7 - (-49)\/5) + (-4)\/5.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -754*i + 1431*i - 710*i + 3*i**2 = 0. Calculate i.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -2*m - 5*o - 0*o, -5*o = -5*m + 165. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjx when three letters picked without replacement from {e: 1, z: 4, x: 3, j: 4, o: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 621?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 780155847 to the nearest integer?\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 20 - 79. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (45\/(-25))\/9 + 682\/10. Suppose j = 3*i - 49. Is 20 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 9*j - 16 = 0. Suppose -6*k - 10 = -j*k. Put k, 0, 4 in decreasing order.\nAnswer: 4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**3 + 0*g**3 + 0*g**3 + (0*g**3 - 2*g**3 - 3*g**3)*(-7 + 1 + 1) + 15*g**3 - 4*g**3 - 1 + 11.\nAnswer: 38*g**3 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 10) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-45)\/80)\/(-3)*92\/138\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 304*d = 308*d - 29, 3*d - 3 = -4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, a: 4}. What is 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: Collect the terms in 413*o**3 - 10 + 7 + 3 + 104*o**3.\nAnswer: 517*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137486 is divided by 68732?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4940, -4971, -5052, -5207, -5460?\n\"Answer: -4*q**3 - q**2 - 4935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8*m = 0. Let y be -5*(0 - (1 - m)). Solve 0 = -0*j - 5*j - y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000093888606 rounded to seven decimal places?\nAnswer: -0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15*(-2)\/(-6))\/(-3)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, 16 in decreasing order.\nAnswer: 16, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/4)\/((-2)\/(-4)). Let d be 260 + -10 + 1*-1. Let m = d + -2237\/9. What is the closest to 1 in -0.4, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/2912*52*(-21)\/54?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h**4*i**3 + 23*h**4*i**2 - h**4 - 232*h**2*i**2 - 3*h*i**3 wrt h?\nAnswer: -96*h*i**3 + 552*h*i**2 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-8)*(-90)\/(-1485). Let u(p) be the first derivative of -7 + 2\/33*p**3 - 4\/11*p + q*p**2. Let u(s) = 0. What is s?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*x - 76*x + 24 = -4*f, 3*f - 4*x = -17 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 3)\/(3 + 4). What is the nearest to o in -4, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wo when two letters picked without replacement from {c: 2, h: 3, e: 6, w: 2, o: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56? (a) 0.031 (b) -0.2 (c) 0.7 (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1377) + 3).\nAnswer: 15 + 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2897903 and 1003?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*s**2 - 96*s + 96*s - 3*s**3 in the form u*s + q*s**2 + b*s**3 + p and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-192)\/16)\/60)\/((-2)\/(-4)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = 38*f - f - 7520. What is the highest common factor of 544 and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 3*u - 27, -u = q + 1 - 6. Let t be 52\/40 + q\/(-12). Let n = -0.05 - 2.95. Which is the smallest value? (a) t (b) -1\/8 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w**3 - 55*w**3 + 822*w**2 + 2594*w**2 - 3416*w**2.\nAnswer: -65*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(156) - sqrt(156))\/(sqrt(12) + sqrt(24)\/sqrt(18)) + -3.\nAnswer: -3 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -75440\nAnswer: -1\/7544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88 - -78. Calculate the lowest common multiple of 28 and 1*i\/(-3)*(-96)\/(-40).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -12, -1, -1\/8, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1192 = -298*k - 281 + 4453 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.7 + -5.2. Let c = -14 + m. Suppose -15*t + 12*t + 3 = 0. Put -2, c, t in decreasing order.\nAnswer: t, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1779*a + 1795*a - 5358*a + 1784*a - 17*a**2.\nAnswer: -17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445935753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 198 + -195. Solve -6*x + 3 = m*v - 5*x, 4*v - 12 = -4*x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c - 34041 = -36*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 142 (b) -14.6 (c) -5 (d) -3\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -432 divided by 5?\nAnswer: -432\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370659730?\nAnswer: 2, 5, 7, 29, 157, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 1) + 2 - (-11 - -11).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.43 and -118?\nAnswer: 121.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6.591375 decades?\nAnswer: 0.6591375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 551922308 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1.71, 0, 6, 5, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 420 = -3*c, 0 = -0*c + 5*c - z + 708. List the prime factors of (-32)\/(-4)*(-1)\/3*c.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 17*b**4\/12 + 85*b**2\/2 - 2*b - 127. What is the derivative of o(f) wrt f?\nAnswer: 34*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22.855 - 133.633. Let w = d + 157. Let j = 0.032 - w. Round j to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1437 is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3980.5282 + 3980. What is s rounded to 2 decimal places?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pu when two letters picked without replacement from opxnouuqxunnx.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, q: 3, n: 2, r: 2}. Give prob of picking 2 n, 1 q, and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*(5 + sqrt(245) + 1*sqrt(245)) + 2*sqrt(245)*3*-6)**2*2.\nAnswer: -864810 - 17640*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02399 - -3.02399. Which is the nearest to 0? (a) o (b) 2 (c) -4 (d) 0.031\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -307648 and 0.2.\nAnswer: -61529.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16574, 16573, 16572?\nAnswer: 16571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97534 + -97534. Let k = -0.2 - 0.3. What is the nearest to 1\/3 in k, s, -1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3332 - 3527 = -15*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38283684 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-240)\/2530 + 34\/(-391)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4\/25)\/b)\/(b**(-6\/13)*b)*(b\/(b**19\/b))\/(b**3\/b*b))**(-45\/2) assuming b is positive.\nAnswer: b**(31734\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a kilometer in meters?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 922.\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence blbb when four letters picked without replacement from blbbbblbbbbbb.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(((r*(r\/(r*r**(1\/16)*r))\/r*r)\/r)\/r)*r**23\/r assuming r is positive.\nAnswer: r**(401\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 8 = i - 1, 17 = -s + 3*i. Let o = 9 + s. Let p = 54 - 38. Calculate the greatest common divisor of p and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 188 + -92. Let j be (-2)\/4*c\/(-66). Suppose -6*y + 2*s = -2*y + 2, -3 = -4*y - 3*s. Which is smaller: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8523 and 324?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -18. Suppose 0 = q*j + 5*n - 52, -j + n = 2*j - 112. Suppose -4*p - 4 + j = 0. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*z - 32. Let c be ((-2)\/4)\/(5\/(-60)). Suppose 7*t + 3 = c*t. Sort t, z, -2 in decreasing order.\nAnswer: -2, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 335, 667, 995, 1319?\nAnswer: 1639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1699 a factor of 197187720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11627964 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2206 - -2224. What is the second biggest value in -4, 2\/5, a, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 1. Let j(n) = 10 - p - 5 - n. Let t(i) = -10*i**2. What is t(j(b))?\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**4\/2 + 4*w - 1. Let x(g) = 2*g - 45. Give u(x(f)).\nAnswer: 24*f**2 - 1080*f + 12150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 1. Let n be (40\/(-720))\/((-2)\/6). Let h(p) be the second derivative of -23*p + 2*p**2 + 0 + n*p**3. Give h(b) - 3*o(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 9:21 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*c = 5*b + 32*c - 5538, -5*b = -2*c - 5533. List the prime factors of b.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 752, 1544, 2336, 3128, 3920, 4712?\n\"Answer: 792*k - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -0.2 (c) -3\/17 (d) -14877\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4242300 rounded to the nearest 10000?\nAnswer: 4240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -850*z**3 - 91*z**2 - 2*z + 2. Let f(p) = -3390*p**3 - 363*p**2 - 9*p + 9. Let b(s) = -2*f(s) + 9*m(s). Find the third derivative of b(w) wrt w.\nAnswer: -5220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 - -20.46\nAnswer: 20.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 2*b**3\/3 + 7. Let x(v) = 3*v**2 - 5*v**2 + 4*v**2. Give x(g(l)).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**3 + 4*w**3 - 2*w**5 + (w**5 - w**2 + w**2)*((-1 + 2 + 9)*(0 + 0 - 1) + 2 - 4 + 0) - 4*w**5 + 0*w**5 + 5*w**5.\nAnswer: -13*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*b - 17. Suppose -3*j = -2*y + 2*j - 11, -b*j = -5*y - 2. Let z be 140\/44 - y\/11. Solve -m = -z*f + 2, 3*m - 4*f + 0 = -1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - -6)*4 - 1. Suppose 5*r + 15 = -2*w, 5*r + 19 + a = 5*w. Suppose w*d = 8*d - 3297. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -16 + 14 - 4*k - 11. Calculate n(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 110 = 5*s. Suppose 0 = -5*x + 4*f - 5, -s*x - f - 1 = -13*x. Solve -15 = -5*o, -x*r - 2*o - 3 = -21 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.6669982 meters?\nAnswer: 666998200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1213436*l**2 + 1843172 wrt l.\nAnswer: 2426872*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/440*4)\/((-3)\/15). What is the closest to 3 in -4\/3, -1.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t + 13 - 13 + (t - 3 + 3)*(-4 + 3 + 3) + 3*t - 5*t + 0*t + (2*t - 7*t + t)*(27 - 9 + 9) to the form k*t + g and give k.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1080.56219 rounded to 1 dp?\nAnswer: -1080.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 135777959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4 - 0)*60. Let m = f + 50. Solve 0 = -u - 3*u + m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -0.1, 6, -2, 0, -2\/5, 561?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/361, -10236, -0.5?\nAnswer: -3\/361","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a kilogram in grams?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 11:28 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 82, 0.4, 4\/3, -1496.\nAnswer: -1496, 0.4, 4\/3, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 24*t = -79*t - 303, -3*u + 3*t + 3 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 2*q**2 - 37*q + 37. What is the remainder when f(10) is divided by 234?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 265379\/18 + -14736. Let y = -10414\/9 - -3496\/3. Calculate the common denominator of i and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -435 and 0.2652?\nAnswer: -115.362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/217 (b) -4\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2212*s**2 + 2212*s**2 + 12*s**3.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025 take away -36121?\nAnswer: 36121.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 4:59 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128 and 361102?\nAnswer: 23110528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 335519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 184259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 2. Let s be c(3). Let b be s\/(3\/(-7))*3. Suppose -b + 19 = 4*z. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -239*c**2*r + c + 8*r wrt c?\nAnswer: -478*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7121 - 7112. Suppose -7*u + 2*u + 10 = 0. Solve b = -u*d - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-35)\/30*-7*5\/(-245). Sort q, -1\/4, 0.5, 0 in ascending order.\nAnswer: -1\/4, q, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 544 (b) -0.5 (c) -0.1 (d) -4.34 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-54))\/((-3)\/168)*(-9)\/(-3)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0*x - 2*h + 14, x - 5*h + 23 = 0. Which is bigger: 7\/9 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 48, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*k**2 - 2*k**3 - 32*k + 3*k**3 - 19*k**2 + 31*k**2 to the form b*k**2 + l*k + i*k**3 + c and give l.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*z - 155 + 2035 = -865 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 110 or 2183\/20?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 578119.2ms to nanoseconds.\nAnswer: 578119200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + ((1078\/(-16))\/(-11) - 2).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 66. Let s = -25 + k. What is the third derivative of -2*u**2 - 571*u**5 + 4 - s + 533*u**5 wrt u?\nAnswer: -2280*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*v + 3. Suppose 4*d - 50 = v*d. Suppose -5 = -5*l + d. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 22399.824 months?\nAnswer: 186.6652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2 + 4*u + 11. Let x = -231 + 233. Let w(h) = -2*h - 2*h**x + 3*h**2 - 6 + 6*h**2 - 6*h**2. Calculate 4*r(a) + 7*w(a).\nAnswer: -a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15965*-0.3\nAnswer: -4789.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 5.74. Let q = 0.48 - h. Is q > -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1403 (base 5) to base 4.\nAnswer: -3210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**2 + 4*k**2 + 2*k + 0*k + k**3 - 5*k**2. Let c be x(4). Let j(l) = 2*l + 3. Is j(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14\/(-6))\/((-6)\/18). Let n = -4 + b. Suppose n*g - 2*q = 13, -2*g + 6 - 1 = -5*q. Solve -3*m - 17 = -g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6975201 less than 4450?\nAnswer: 4453.6975201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"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: Add 89.7 and 27585380.\nAnswer: 27585469.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/18 - 3)\/(1\/(-6)). Suppose i*z = 10*z + u + 10715, -14270 = -4*z - 2*u. Round z to the nearest 100.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*d + 36 + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 8*r - 7. Suppose -5*j - 2*u - 24 = 0, 4*u - 10 = j + 8. Let t be q(j). Let a be (52\/t)\/((-64)\/20 + 3). Is -51 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one fifths of a decade?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 16) + 13 + -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4*y - 56 = 0, -217 + 177 = -2*n - 2*y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(0 - (-10)\/15))\/((-108)\/(-48))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(63\/30)*-3. Let u(n) = -n**3 - 8*n**2 + 5*n + 56. Let o be u(-8). Solve -2*f - 5*l = -r, o = -4*f - 0*f - l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (((sqrt(1280) - (-2 + sqrt(1280)*5)) + sqrt(1280) - (1 + 1*sqrt(1280)))*-4)**2)*-4.\nAnswer: -1310780 + 8192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -190*s**2 - 125*s**3 + 46 - 5*s**5 - 40*s**4 + 8 - 140*s - 94.\nAnswer: -5*(s + 1)**2*(s + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/8)\/((-3)\/16). Let f(g) = 6*g - 129. Let i be f(24). Let m = i + s. Sort m, 0, -4.\nAnswer: -4, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 35 + -134b63?\nAnswer: -134b2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/8)*t*t*t*t**(-3\/10)\/t*(t\/((t**(-2)\/t)\/t))\/t*t\/t**(1\/5))**(-3\/7) assuming t is positive.\nAnswer: t**(-165\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 6, b: 7, a: 4}. What is prob of sequence bb?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 126\/62 - 9\/279?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 - 2)*(-1 + 1 + u) + 4*u + 3*u - 5*u + (2*u + 1 - 1)*(-3 + 2 - 1) + 0*u - u - u - u + u + u - 4*u + 4*u - 2*u.\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t**3 + 3*t**2 - 3*t - 97. Let q(v) = v**3 + v**2 - v - 32. Let b(i) = 2*n(i) - 7*q(i). Is 10 a factor of b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19088612?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 10:35 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9171, 18261, 27351, 36441, 45531, 54621?\nAnswer: 63711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 9 + 50*m**2 + 46*m**2 + 114*m**2.\nAnswer: 210*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 44*f + 40. Let p = -194 + 198. Is 60 a factor of u(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + g**3 - 2*g**2 + (-4*g + 0*g + 2*g)*(-3*g**2 + 0*g**2 + g**2) - 25*g**3 + 7 - 15 - 2*g + 10.\nAnswer: -20*g**3 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -516770*d**2 + 1310*d**3 + 516770*d**2.\nAnswer: 1310*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 19}. What is prob of picking 2 u?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2529360 and 1260?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 213*c + 69. Let t be d(1). What is the highest common factor of t and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*j - 81*j + 200*j to h*j + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u + 4073 = 15539. Let y = u + 646. What is the least common multiple of 137 and y?\nAnswer: 1233","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/35*280\/(-100).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/193, -2\/11, -1\/3, -0.1.\nAnswer: -5, -1\/3, -2\/11, -0.1, -1\/193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1213 (base 7) to base 11\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -27. Solve -2*j + 12 = -5*a, -2*a - 20 = -2*j + r*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 h, and 1 w when three letters picked without replacement from whoniao?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19000 and 2.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 3)*(-4*x - x + 2*x + (-1 - 1 + 4)*(0 - 2*x + 0) - x + 1 - 1 - 2*x + 0*x + 4*x + 2*x + 3 - 3 - 4*x + x - 3*x) to u*x + z and give u.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 3*q + 7. Let z be p(4). Let o(d) = -d - 3. Let v(j) = -2*j - 4. Calculate z*o(k) - 2*v(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 390 and 325.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 194380, 194368, 194342, 194296, 194224, 194120?\n\"Answer: -n**3 - n**2 - 2*n + 194384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5243676497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -410255 + -580?\nAnswer: -410835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -76829, -76830, -76831?\n\"Answer: -n - 76828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**6\/60 + g**5\/10 + 4*g**2. What is the third derivative of p(l) wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 30*l**2 + l. Let g(h) = h**3 + 14*h**2 + 32*h. Suppose 0 = -0*k + 11*k + 121. What is the remainder when n(1) is divided by g(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(171)*6)**2.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -18. Let d(o) be the first derivative of -o**2\/2 - 5*o - 1. Let h be d(-3). Sort h, p, 1.\nAnswer: h, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 30*b**2 + 32*b - 5\/4*b**4 + 1\/4*b**5 + 1 - 10\/3*b**3. Factor o(z).\nAnswer: 5*(z - 3)*(z - 2)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2. Let g(v) = -12*v - 9*v + 59 - 59. Give h(g(p)).\nAnswer: -882*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -544, -2183, -4914, -8737, -13652, -19659, -26758?\n\"Answer: -546*x**2 - x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122\/(-84) + 267\/(-1246) - 6\/(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 23*i**4 + 6*i**3 + 24*i**2 - 6*i + 109. Let y(x) = -x**4 + x**3 + 4*x**2 - x. Let w(l) = t(l) - 6*y(l). What is the derivative of w(p) wrt p?\nAnswer: 116*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -568*n + 554*n = 84 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23109343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k**(-8)*k)*k)\/(k\/k**0))\/(k*k*k\/(k*k*k\/k**7)*k*k**(1\/4)) assuming k is positive.\nAnswer: k**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18517524671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9508 - 190241\/20. Let a = 107\/159855 + -19584103117\/959130. Let k = -20411 - a. What is the common denominator of k and u?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**5\/m)\/(m\/((m*m\/(m\/(m\/m**(-1))))\/m)))\/(m*m\/((m\/(m\/((m\/(m\/(m*m*m**(-5))))\/m*m)*m))\/m)*m*m*m*m*m*m**(-2)*m*m))**(-2\/33) assuming m is positive.\nAnswer: m**(14\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-18))\/(432\/648)*8\/(-18).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**4\/8 - 5*x**3\/6 - 4*x**2. Calculate g(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(475) + 0))**2 - (sqrt(475) + (sqrt(475) + 1 + 2 - sqrt(475))) - 1*(sqrt(475) + sqrt(475) + 4 + -4)) + 0.\nAnswer: -15*sqrt(19) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -103 + -2 + (-25 - (-23 - 33)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 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: Which is the closest to -3\/10? (a) 0.2 (b) 0.021 (c) -1\/4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76.04 + -96. Let p = -0.04 + s. Let o = -19.99986 - p. Round o to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*6\/(-2145)*(-351)\/(-54).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 4*l**2 - 3*l + 9. Let z be i(3). Let t be (9\/12)\/(0 - z\/48). Solve -2*q + 3*w + 11 = -2*w, -3*w - 15 = -t*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-54)\/28 - (-2)\/1 and -83\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2534 or -0.163?\nAnswer: 2534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 9*q + 2. Let i be (-6)\/(-24) - 74\/8. Let w be o(i). Solve -w*m - 3*m = -3*g - 18, 5*g + 2*m = 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 - 20*n + 7. Let w be q(-11). Let c = w + 23. Let s(h) = 4*h**2 - 6*h - 3. What is the hundreds digit of s(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -15, -4*c = -26*i + 22*i - 5384. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79231075.\nAnswer: 5, 7, 11, 79, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/11))**44\/(k**(-6))**22)**50 assuming k is positive.\nAnswer: k**6200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.07404 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-56)\/7)\/(-16) - 1)*(-10 - (18 - -170)).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -11. Let n = o - 3.0144. Round n to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 + 1. Let k(y) = -y**2 + y. Let t be -12 + (-8)\/2 + 14. Give t*k(m) - f(m).\nAnswer: -m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, n: 2, h: 3, y: 1}. What is prob of picking 1 h, 1 b, and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 9 - (1296 + -1282)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -9. Suppose 3*p + 96 + 70 = q*a, 2*p - 116 = -3*a. Calculate the greatest common divisor of 16 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31 - 239b29?\nAnswer: -239ab8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 3*r = -12. Suppose -r*f = 4*f + 196. What is the tens digit of 78*f\/(-24)*4\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w**2 + 7*w + 6. What is s(-3)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 8*w + 77. Is 11 a factor of p(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5 = s, 13*g - 9*g - 40 = -4*s. Suppose -158 = -3*z + z + 4*d, 380 = g*z - 5*d. List the prime factors of z.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.26 - -5.1. Let k = -33 - -38.56. Let f = k + i. What is f rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/158 and (-21)\/(-6) - 162\/(-120).\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -105, -136, -169, -204, -241?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1411072*u - 1411025*u + 2115 = 0 for u.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 6. Let c be g(-11). Find the third derivative of -16*h**c + 7*h**2 + 9*h**2 - 3*h**2 wrt h.\nAnswer: -960*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -4, 0.7, -0.28, -81\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3249?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 4:27 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 34346*k**3.\nAnswer: -34346*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -412, -394, -376, -358?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - (-39)\/(-9))\/((-15)\/180). Which is the nearest to 2\/3? (a) -13\/7 (b) -5\/3 (c) x (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 88\/5, -5, 0?\nAnswer: 88\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a + 2. Suppose 7*j - 4*j + 60 = 0. Let l be 8\/j + 128\/20. Let y(c) = 4*c - 21 + 6 + 13. Calculate l*y(z) + 5*w(z).\nAnswer: 4*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -347 - 601. Which is the third biggest value? (a) 4 (b) -1\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511*t - 5 = 2*x - 512*t, 11*x - t + 32 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 22 = -53. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 1694871?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -28*o**2 + 476*o + 2. Determine k(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -131+15706.58\nAnswer: 15575.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -108 - -268. Suppose 8*s - 16*s + u = 0. Calculate the highest common divisor of s and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6) - (-92)\/69.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779890?\nAnswer: 2, 5, 167, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/((t\/(t*t**(2\/11)\/t))\/t)*t**(-2)*t\/(t\/(t*(t**(-1\/9)\/t)\/t*t))*t**9\/t assuming t is positive.\nAnswer: t**(700\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a millimeter in micrometers?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2. Let n be (-6)\/2*-1 - 1. Let o(f) = -2*f**n + f**2 - 3*f**2 + f**2. What is o(g(c))?\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 890, 1991, 3532?\nAnswer: 5513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 44 = 40*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/5)\/(k*k**(-7\/3))*k**(-5)*k**(2\/9) assuming k is positive.\nAnswer: k**(-146\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*y)*(3 - 3 + 1 + (-1 - 5 + 4)*(2 - 2 + 4)).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24684 and 136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*k - 4*k + 15*k + 3*k)*(k + 0*k - 2*k).\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, y: 3, g: 5, p: 1, c: 2, t: 1}. Give prob of picking 1 w, 2 y, and 1 t.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -11, 11, -2 in ascending order.\nAnswer: -11, -2, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1.84, 5\/14, 5, 3\/7, -0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 534, 527, 508, 471, 410?\n\"Answer: -f**3 + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -2 + (0 - (4 + -3)) + -13.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67 or -232?\nAnswer: -232","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-2 + -3) - (-21 - -18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -5, 0.09, -1\/9861?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112, 109, 106?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 529847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21393*a**2 - 39515 wrt a.\nAnswer: 42786*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*m + 445 = -58*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-140)\/18 - (-2)\/(-9). Suppose -11*b = -7*b + 20, 2*g + 29 = -5*b. Sort g, -3, 4, u.\nAnswer: u, -3, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(1 + -7 + 34\/6). Solve k - 4*k - n + 5 = 0, -k - n = j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2232770 is divided by 533?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1690382, -3380760, -5071138, -6761516, -8451894?\n\"Answer: -1690378*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 15, 577, -1.\nAnswer: -1, 0, 15, 577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 9:52 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 137*b**2\/2 - 20*b + 137. Find the first derivative of v(x) wrt x.\nAnswer: 137","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**6\/80 + p**5\/60 - p**4\/48 - 14*p**2. Factor c(h).\nAnswer: h*(h + 1)*(3*h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbpzhbpppzbptbhpz. Give prob of picking 1 p and 1 h.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 16*p - 47. Let n be g(20). Suppose n = 6*t + 27. Suppose x + 9 + 4 = -3*o, 2*x - 4 = 0. Sort -3, t, o in decreasing order.\nAnswer: t, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2279*l = 2293*l - 56 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*f + 72995 = -309685. List the prime factors of f.\nAnswer: 2, 3, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**4 - 4*p**4 + 0*p**4 + (-3*p**4 + p**4 + 3*p**4)*(1 - 2 + 2) - 159*p**4 + 101*p**4 + 94*p**4.\nAnswer: 39*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j - 1 + 1)*(34 - 55*j - 34 + (-4*j + j + 4*j)*(2 - 1 + 1) + 0*j + 3*j + 0*j) in the form u*j**2 + v + f*j and give u.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) -61.79 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -10. Let i(p) be the first derivative of -p**2\/2 - 9*p + 3. Let d(z) = 6*i(z) - 5*j(z). What is the first derivative of d(v) wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14\/(-21))\/((-73)\/(-75) + -1). Solve -s = 2*n - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.3, 0, 7.77, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4150378844 a multiple of 9548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w - 8*w + 5*w - 17*w)*(60 + 7 + 0).\nAnswer: -1809*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express n**4 - 6*n**2 - 3*n**2 + 3*n - 6*n**2 - 6*n in the form k + a*n**2 + v*n**3 + s*n + i*n**4 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39385 is divided by 429?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 15*h + 30. Let n be f(17). Let a be (-332)\/(-36) - n\/(-18). Let q(t) = 10*t - 39. What is the remainder when 150 is divided by q(a)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26 + -2918.\nAnswer: -2944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 804a (base 16) in base 12?\nAnswer: 1700a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + ((((sqrt(117) - (sqrt(117) - -6*-1*sqrt(117))) + sqrt(117))*4)\/(sqrt(81)\/((-6*sqrt(9) - sqrt(9))*2)))**2.\nAnswer: 1997628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -22691633425816 and 0.14?\nAnswer: 22691633425816.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = 35*m - 6*m. What is the common denominator of ((-10)\/16)\/((-3)\/(-52)) and 113\/m*-5*5\/60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3640 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4, -4*w + 6*w = -4*x - 4. Suppose -3*z = -2*g + 1, w*z + z - g = -2. Suppose -4*r - z = -5*r. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17930 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 56757, 4, 449 in ascending order.\nAnswer: 4, 449, 56757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253764 divided by 42.\nAnswer: 6042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1902 = 3*w, -4*o - 3*w + 3795 = -2*o. Suppose 0 = 2*k + k - o. Suppose 5*l - 147 = -z + 3*l, -4*z + l = -k. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 6 = -0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 - 2 = 2*z, -2*z - 10 = 5*h. Which is the closest to -2\/5? (a) 5\/3 (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743295960 a multiple of 4180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(175))**2 + sqrt(7) - ((sqrt(28)\/sqrt(2))\/sqrt(2))**2.\nAnswer: sqrt(7) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r**3 + 2*r**2 - 6. Let u(d) = 13 + 3*d**3 - 3*d**2 - 1548*d + 6*d**3 - 2 + 1548*d. What is -7*k(h) - 4*u(h)?\nAnswer: -h**3 - 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1332 - 63605?\nAnswer: -62243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfppbbiibipbbbnbifp. Give prob of sequence bbi.\nAnswer: 112\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1284 divided by -1236\nAnswer: -107\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-10)*(-430)\/4. Suppose 4*f + 36 = k, -f = -4*k + k + r. Let s = -7 + 117. Calculate the remainder when s is divided by k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 760*a**3 - 3*a**2 - 764*a**3 + 2*a**2 - a**3 + 4*a**3 - a**3 - a**3 + 2*a**2 - 2*a**2 + (2*a**2 - a**2 + 0*a**2)*(a + a + 0*a).\nAnswer: -a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 10:00 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 4 - 11*b**3 + 35 - 63.\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y - 4 + 2 + 4)*(-89*y + 210*y + 193*y) to g*y**2 + m*y + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 11, u: 5}. Give prob of sequence iiiu.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7430173 (base 11) in base 5?\nAnswer: 11322324010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**6\/10 - 3*c**5\/5 + 8*c**3 + 24*c**2 + 20*c. Suppose k(v) = 0. Calculate v.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a*j*m + 227*a*j - 20*j*m - 9*j wrt a.\nAnswer: -3*j*m + 227*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1121*b**3 - 564*b**3 - 564*b**3 + 302*b wrt b.\nAnswer: -42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -23. Let n(q) = -q**p - 4*q**2 - 2 + 16 - 11*q + 4*q**2. Does 12 divide n(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1657 - -2355. Let v = -697.84 + h. Which is smaller: v or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - (sqrt(114) + -5*-3*sqrt(114)) - sqrt(114) - sqrt(114))\/(sqrt(864)*1) + (-3*1*sqrt(76) + sqrt(76) + sqrt(76))\/(sqrt(8)\/(-1*sqrt(2))).\nAnswer: -5*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.405596 days in minutes?\nAnswer: 3464.05824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73 - -557. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*w**4 - 6*w**5 - 29*w**4 + (2*w - 3*w + 3*w)*(-w**4 + 3*w**4 + 0*w**4) - 5*w**5 - w**5 + 4*w**5 - w**4 + 2*w**5 + w**4.\nAnswer: -2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f + 52. Suppose -372 = 4*n - 428. What is h(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-20))\/(182\/(-28)). Let v = -1.01 - 0.01. Let c = 1.12 + v. Which is bigger: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13172.\nAnswer: 2, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c (base 14) in base 11?\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48360 and 1426620?\nAnswer: 2853240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 9:22 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 74943347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 5:41 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 287, 907, 1911, 3275, 4975?\n\"Answer: -4*i**3 + 216*i**2 + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 n when two letters picked without replacement from dnnnnnnnnnndnd.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 623 and 356.\nAnswer: 2492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-350)\/(-32)*50898\/636225?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68 + 13 + 8)*((r - 8*r + 2*r)*(1 - 1 + 2*r) + 2*r - 2*r + r**2) - 3*r**2 + 3*r**2 - 3*r**2.\nAnswer: -804*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 9*m + 4. Let s be (5\/15)\/(((-354)\/(-45) + -8)\/4). Give f(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2170705 to 3 dps.\nAnswer: 0.217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14440 = 2*p - 14448, 2*p - 2 = -3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 54 = 42. Let l be (-60)\/(-18)*c\/20. Solve -4*t - 12 = t - 3*d, -d = -t - l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -6*1*sqrt(176) - 2*(sqrt(539) - (0 + sqrt(539)))*2.\nAnswer: -24*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 53, 99, 63, -97, -423, -957?\n\"Answer: -7*o**3 + o**2 + 92*o - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -820, -2760, -6538, -12766, -22056, -35020?\nAnswer: -52270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -p**6\/420 - 4*p**5\/35 - 15*p**4\/28 - 22*p**3\/21 + 29*p**2 - 2. Factor t(k).\nAnswer: -2*(k + 1)**2*(k + 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3201104346 to the nearest integer?\nAnswer: 1474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 0. Let d = 0 + 0.1. What is the nearest to 0 in 3, y, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zkzk when four letters picked without replacement from qzzzkkkqkkzk.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 2*k + 0*k)*(-k**2 - 4*k**4 + k**4 + k**4).\nAnswer: 2*k**5 + k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 204710436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20\/59 (b) 0.1 (c) 1\/2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 3*q - 5. Let n be z(4). Let m be (-11)\/(n*68\/(-8)). Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2004 - -997. Let r = g - -2486. Is 28 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-6 - 2) + (-66 - -61) + 6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28442 - 28401. Which is greater: -44 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115485 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -187767*s - 2253210. Calculate q(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*z + 290*z - 48430 = -836*z for z.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + -22 - -14 - -58?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -584572, -584572, -584550, -584488, -584368, -584172?\nAnswer: -583882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (125\/15 + 3)*-3. Let l = o + -11. Let d be -4 - (32\/(-20))\/((-6)\/l). Solve z + 6 = 4, 4*g + 2*z + d = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/528)\/((-16)\/(-11))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 8 = 5*i - 12, 0 = 3*i - 2*j - 7. Let r(c) = c**2 + 1. Let w(p) = 5*p**2 - p + 5. Give i*w(t) + 4*r(t).\nAnswer: -t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 207252*p - 1658012. Give d(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 2*n**5 + (2 - 4 + 1)*(-2 + 1 - 4)*(3*n**5 - 4*n**5 + 6*n**5).\nAnswer: 23*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 178 + -88. Suppose y = -4*y + l. Suppose -2*m + 38 = -y. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 8 - 6 - 0) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**3 - 2*n**2 - 9*n + 3. Suppose 0*o - 2*o + 46 = -2*h, -4*o = -5*h - 120. Let d = -33 - h. Is a(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 31. Let n be 20\/y - 8\/(-12)*-3. Let x = 1 - -1. Is n <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3833616, -3833625, -3833634, -3833643, -3833652?\nAnswer: -3833661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1378442 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1367.\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-11))\/(7086\/12991)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1308330.\nAnswer: 2, 3, 5, 14537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204641104 (base 7) to base 10.\nAnswer: -12111040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -296155*f + 6811583. Determine b(23).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -84 (b) -0.34 (c) -6\/7 (d) -0.5 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 17*p + 1. Let d be l(1). Let k = -96 - -6. Let t = k + 96. What is the highest common divisor of t and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 268\/(-1407)*42\/(-4). Solve 4*a = 4*r + 4, 5*r - 10 = 9*r - s*a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, 27, 44, 61, 78, 95?\n\"Answer: 17*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 - 72.7. Which is the smallest value? (a) -5 (b) 1 (c) -4 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by 87.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -41 + 11. Suppose 0 = -5*b - 5*o - 90, 2*b + 8 + 23 = 3*o. Let z(c) = 4*c + 5. Let d(g) = 11*g + 12 + 10 - 8. Determine b*z(q) + u*d(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixxdqixxdqif. What is prob of picking 2 q, 1 f, and 1 i?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 - 58 = -51*i + 94. Sort 1, i, 254 in descending order.\nAnswer: 254, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120923 + 67823. Round x to the nearest 1000.\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 261 - 5483\/21. Suppose g - 5 = -4*g. Which is greater: g or k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 11*c**2 - 16. Give o(11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 31664 = -3*f, f = 5*m + 3*f - 31649. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a kilometer in meters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -79, -83, -89, -97, -107?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2446*s + 121*s**5 - 2519*s + 6*s**5 wrt s?\nAnswer: 2540*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 61577583 - 10.\nAnswer: 61577573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 10:15 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/9)*x*x*x**(-6))\/((x*(x**(-2\/3)\/x)\/x*x)\/x)**(-1) assuming x is positive.\nAnswer: x**(-40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**2 - 3*v + 6. Suppose -4*s = 5*b - 6, s + s + 2*b - 4 = 0. What are the prime factors of g(s)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 44*t**2 - 207*t - 69. Is r(-39) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641045 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from {w: 1, p: 1, z: 1, o: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -9*z - 2. Let f be m(-1). Suppose -x + 1 = f. Let b = x - -10. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 282164421*f**3 + 215593360*f**2 - 2?\nAnswer: 1692986526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = g + 89, y + 0 = 5*g + 46. Let b = -18 + y. Let t(j) = -223*j - j**2 + 220*j - b + 4. Determine t(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00052191 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**2 - 2*l. Suppose 6*x = 4*x - 6. Let u(p) = -p**4 - 4*p**2 - 2*p. Let d(s) = x*u(s) + 4*r(s). Find the second derivative of d(b) wrt b.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3795918858246023\/54318 + 69883258927. Let w = 7\/2469 - l. What is the common denominator of w and 43\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41102032 (base 5) to base 13\nAnswer: b7b84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9008110 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-186*(-30)\/1125)\/((-56)\/140).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/21 and -52\/21063?\nAnswer: 21063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n**3 - n**2 + 3*n - 3. Determine i(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -580 - -430. Let l = 145 + j. Which is smaller: -6 or l?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 6*d - 14. Determine t(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 9*b**2 + 2038*b + 20470. Determine d(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -21.3. What is x rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*g + 18, -2*h = -3*g + 2*h - 20. Let j be 3\/g - 68\/(-112). Let w = 0.1 + -0.2. Which is the third biggest value? (a) -0.5 (b) w (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 24784 = -r, w - 93*r = -91*r + 12377. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3247 + 133 = 208*u + 957 + 3417 for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 157*l**2 + 162*l + 727. Calculate s(-158).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 3941 = -21464. Does 59 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -269 - -281. Let l(i) = 4*i + 7*i + 1 + 3 + i**2. Let n be l(-11). Calculate the highest common factor of n and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -6*g + g + 5, -c + 4*g - 15 = 21 - 24 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10*t**3 + 7*t**2 - 2*t + 6. Let y(l) = -10*l**3 - 6*l**2 + 2*l - 5. Calculate -3*r(o) - 4*y(o).\nAnswer: 10*o**3 + 3*o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 2*d**2 + 2*d + 1. Let b be g(-1). Let i be (3 + (-44)\/(-4))\/b. Suppose 9*h - i*h = 22. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 100*t - 28 = -102*t, 3*x + 2*t - 2*t - 42 = -3*t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/(m\/(m**(2\/21)\/m))*m*m*m**(-7)*(m*m**(1\/2))**(-2\/3) assuming m is positive.\nAnswer: m**(-124\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 59. Let s = 36.5 - u. Let y be (1\/5)\/((-1)\/2). What is the second smallest value in s, y, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2. Let d(i) = 3202312*i. What is g(d(a))?\nAnswer: 20509604290688*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 7. Let d(t) = -t - 1. Let b be d(q). Let j(m) = m**2 - 5*m - 2. What is the units digit of j(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2854277\/129 - -22126. Let w = l - -3002\/1161. Calculate the common denominator of w and -101\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3\/2, -131.\nAnswer: -131, -3\/2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b + 2. Let z(u) = -3*u + 2. Let k(s) = -5*r(s) + 6*z(s). Let y be k(3). Let h = 56 + y. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i**3 - 11*i**2 - 13*i + 13. Let m(p) = 2*p**3 - 5*p**2 - 6*p + 6. Suppose 3*o - h + 3 - 25 = 0, -2*o + 4*h + 28 = 0. Determine o*t(l) - 13*m(l).\nAnswer: 4*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, 0.4, 2, -0.48?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u + 3*u - u)*(-9*u**3 + 9*u**3 - 4*u**3 + (0*u**2 + 0*u**2 - u**2)*(1 - 1 + u)) to i*u**4 + q*u + o*u**2 + b + a*u**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78536082 and 24.\nAnswer: 314144328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 - 133 - (14 + 1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -6, 0.5, 4, -2\/3, -81.17, -6\/7?\nAnswer: -81.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3384 - -7469. What is the thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2156)\/(-272))\/(-7) - 2\/17\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7 + m**3 + 15*m**2 + 9 - m - 2*m**3. Let b be s(15). Let t = b + 31. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5 = 0, -2*j + 7*j + 15 = 3*s. Let m = 48.706 + -48.3. Let a = 0.41 - m. Is a bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*m - 14. Solve 22 = 3*n - 0*z - 5*z, n = 3*z + m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-615))\/(55\/10230*62)?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -0.96. Let o = i - 4.04. Let x = -5.3 - -5. Which is the third smallest value? (a) o (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 3*l**2 + 4*l + 1. Let m be (14\/(-4) + 4)*6*-1. Determine a(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, l: 10, f: 1}. What is prob of picking 3 l?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -220?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -6 + 13 - 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126915, -253651, -380351, -507015, -633643, -760235, -886791?\nAnswer: -1013311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, 2, 5 in decreasing order.\nAnswer: 5, 2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-168)\/60 - 6)*275\/(-880).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/39 - 134\/(-6). Suppose 20*a - c*a = -207. What are the prime factors of a?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 2. Let v be u(2). Suppose 50 - 9 = 2*s + o, v = 4*s - o - 73. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 519182500*q - 257264126.\nAnswer: 519182500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4280.1 and -2413?\nAnswer: -10327881.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (9 + -28 - -13 - (-16 + -3))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 5. Let m = -28177 - -28178. What is the closest to -0.05 in -2, -4, r, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-12276)*-18*20\/(-10)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44143 (base 7) to base 15.\nAnswer: 3421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3667164154?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -353, 0.26, 0.1, -6\/5, 4\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 2*p - 83110, -2*p + 10620 + 22618 = 2*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 556 and 695.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 7*q - 39. Let z(s) = -5*s**3 - s**2 + s + 1. Let f be z(-1). Suppose -3*k + 7 = f. Which is the nearest to k? (a) -2\/7 (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2. Let d(s) = s**2 - 2*s - 2. Let a(c) = 5*c**2 - 11*c - 11. Let z(v) = -2*a(v) + 11*d(v). Give z(b(h)).\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-28)\/280)\/((-13)\/5))\/(112\/896)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1524 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**2 - 3*p**2 - 970*p**3 + 973*p**3 - 14 + p**2 to c + b*p**2 + d*p**3 + k*p and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -182 (base 9) to base 8\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3745 = -150*r + 2166 + 4139 for r.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**3*g*(g\/(g\/(g*g**(1\/22))*g))\/g)\/(g**4\/g*g*g*g*g*(g*g\/g**25)\/g) assuming g is positive.\nAnswer: g**(331\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 - 160 - (-19 - -1) - (31 + -5 + -1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -1\/2*v**2 - 25 - 25\/3*v**3 + 56*v. Find the first derivative of d(o) wrt o.\nAnswer: -50*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*d + 1. Let v(r) = r**3 + 8*r**2 + 11*r - 14. Let n be v(-6). Is n equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0044572028 to five dps.\nAnswer: 0.00446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + j + 10. What is the common denominator of (((-292)\/j)\/1)\/(-4) and 4\/(-18) - (355\/36 - (-82)\/123)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c + w - 33, -5*w - 45 = -4*c. Let t be 1\/(3\/c)*1. Solve 5*p = -n - 11, -2*n - 13 = n + t*p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -32143, -64283, -96421, -128563, -160715, -192883, -225073?\n\"Answer: -y**3 + 7*y**2 - 32154*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 70 + -8 + -6 + 2. Suppose 61*o - 60 = d*o. What is the second derivative of 43 - 43 - 10*l - o*l**2 wrt l?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -38, -35, 8, 97, 238, 437, 700?\n\"Answer: b**3 + 14*b**2 - 46*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 3\/5, 13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29*j**4 - 940*j**2 - 53775?\nAnswer: 116*j**3 - 1880*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -969238.8583 to the nearest 100.\nAnswer: -969200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 542722*d**3 - 59*d**2*n - 2*d + 349608*n + 157 with respect to d.\nAnswer: 1628166*d**2 - 118*d*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 7*x - 5. Let z be p(4). Suppose 24*t + 399 = 5*t. Let y be (z\/t)\/(2\/(-18)). Solve 0 = -0*h - y*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -170290014*i - 82006820 wrt i?\nAnswer: -170290014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**2 + 2. Suppose 2*q + 5*i = 7 + 38, 5*q + 2*i = 165. Let b(u) = q + 4*u - 18 - 17. Determine m(b(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -172 + 176. Suppose -j + 8 = 4*y, -4 = -2*j + 5*y - 27. Suppose 0 = z + 1 + 1, 3*s - 7 = 5*z. What is the biggest value in j, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20205337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4635*h - 41706. Give n(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3990*h*s**4 - 2*h*s + 78355*h wrt s.\nAnswer: -15960*h*s**3 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 8 - (-1 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-45)\/10)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 10.4. Let z = -7.15 - -0.15. Let b = z - -5. What is the second smallest value in b, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 520 = 492. Let z = -9 + 23. Let d be (a\/z)\/((-1)\/(-14)). Calculate the highest common factor of 21 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1700 and 18?\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -1. Let b = r + 23. Let x = -548010 - -548010. Is b less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 484 - 4639 = 585*b - 1965 + 13020 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = n. Let q be (-2 - n)\/(-1*2). Let f = -2 + 3. What is the third biggest value in q, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w**2 + 16*w**2 - 25*w**2.\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 11*x**9\/5040 + 7*x**5\/30 - 8*x**4\/3 + 30*x. Let p(h) be the third derivative of b(h). What is the derivative of p(w) wrt w?\nAnswer: 132*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*a - 4599 - 137 = 0 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 61 = 45*x - 98*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -26401*h + 52738. Give d(2).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0418953333 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: aa187 (base 11) to base 10\nAnswer: 159936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 13. Let p(o) = o - 13. Let z(w) = 5*j(w) + 6*p(w). Let b be z(13). Let u(k) = 4 - 2 + k**3 + k + 2 + k**2. Give u(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -8. Let l = -6 - -8. Suppose -2*q + 2 = -2. Solve -q = l*o, 2*x + b*o = -o - 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*q + 5*n, 0*q + n = 3*q - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-2*((sqrt(1300) + 0 - sqrt(1300)) + 2)*-3 + -2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -44\/35, -6, 0.1, -0.02, 0.8, 1\/5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 n when two letters picked without replacement from {q: 2, t: 1, n: 7, y: 9}.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/120 and -27\/56?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -3365010 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3114*i**5 - 2*i**2 - 3?\nAnswer: 186840*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*d + 2*d = -33, -2*o = 3*d + 19. Let a(r) = -r**3 + 3*r + 3. Let q be a(o). Solve 0*z + 20 = q*z, 20 = i + 5*z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzgx when four letters picked without replacement from xgzbbgbnbn?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 + -42. Let m = a + 6. Calculate the smallest common multiple of m and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/2*(-204)\/(-9). Let r(h) = 3*h + 102. What are the prime factors of r(k)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77458, 77478, 77506, 77542, 77586, 77638?\nAnswer: 77698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*sqrt(102)*-1 + -5*(sqrt(102) + sqrt(102) + 1*sqrt(102) + sqrt(102)))\/(sqrt(66)\/(-3*sqrt(275))))*4.\nAnswer: 1260*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 1:54 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 0*s = -2*p - 11, -p - 1 = s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3929\/2 - 1921. Calculate the common denominator of -101\/30 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -207*p**5 - 6*p**4 + 15*p**3 - 98349*p.\nAnswer: -4140*p**3 - 72*p**2 + 90*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (11 - 0 - (79 - 69))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -14*z**2 - 9*z + 36. What is l(3)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5139094 a multiple of 766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51925*d**3 - d**2 + 1604694.\nAnswer: -155775*d**2 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 689936.05 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - 2*g - g**4 + (9*g - 8*g + 0*g)*(5*g**3 - 18*g**3 - 51*g**3) - g + g - g**2 - 2 - 2*g**4.\nAnswer: -67*g**4 - g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -256343, -256383, -256423?\n\"Answer: -40*o - 256303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1813, -1704, -1597, -1492, -1389, -1288?\nAnswer: -1189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33230*w**4 + w**3 - 22729*w - 2?\nAnswer: 398760*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*p**3*t**4 - 12*p**3*t**3 + 4749*p**3 + t**2 wrt t?\nAnswer: -960*p**3*t - 72*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**5\/30 - 157*b**4\/12 - 52*b**3 - 2*b**2 - 62. Factor t(h).\nAnswer: -2*(h + 1)*(h + 156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3351188 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 38.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y**2 - 54*y + 74. Calculate g(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -633, -632, -631, -630, -629, -628?\n\"Answer: t - 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n + 7*n - n + 0*n + 2*n**2. Let o be a(-2). Suppose o*y - 5*q - 15 - 8 = 0, -46 = -5*y + q. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/1 + -2 + 0. Let b(t) = 2*t**2 + 12*t + 7. What is the units digit of b(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d - 11. Suppose -6 + 0 = k. Give w(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -921 + 1727. Let c = 29624.47 + -28813. Let s = c - f. What is s rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1300) + -2.\nAnswer: -2 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 715 + -472. Suppose -65 = -i*x + 230*x. Solve -n = 3*s - 13, x*n = 4*s + n - 28 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*m*x - 66*m - 208*x wrt x.\nAnswer: 20*m - 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 18. Suppose -p - 4 = -3*h. Solve 0 = -4*f + h*l + 12, -2*f + f + 9 = -2*l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suusiusccc. What is prob of sequence ci?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50165010 and 431419086.\nAnswer: 2157095430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*o - 4840 = 62*o + 74*o + 123*o for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 18. Suppose 3*c = -3*c + 264. Calculate the smallest common multiple of c and m(0).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*g**2 - 71*g**2 - 19*g**2 + 0*g**2 + 0*g**2 + g**2 + (0*g**2 + 4*g**2 - 3*g**2)*(-1 + 2 + 0) as b + s*g**2 + l*g and give s.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -d + c, -d + 12 + 0 = -4*c. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2870*v + 1663*v + 108792 = 0 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7176904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5611128673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 - -43) + 3*2\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -4*q + 2*q. Sort q, 2, -85 in increasing order.\nAnswer: -85, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(176) - (sqrt(176) + sqrt(176)*2)).\nAnswer: -sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -411375, -1645552, -3702513, -6582258, -10284787, -14810100?\n\"Answer: -411392*z**2 - z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j**2 - 103*j - 527. Calculate the smallest common multiple of f(-5) and 460.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -125, -369, 4, 5, -1, 2 in descending order.\nAnswer: 5, 4, 2, -1, -125, -369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 27 = -3*j + 5, -j - 16 = 4*f. Suppose -4*p - 6 = 14, -5*p = j*w - 47. Let b = w - 4. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -0.5. Let m = -0.102 + 0.402. Which is the biggest value? (a) -2\/19 (b) m (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(48) + sqrt(240)\/sqrt(5) - sqrt(48)) + sqrt(48))\/sqrt(6))\/(sqrt(36)\/sqrt(324)).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -888 + 150.691.\nAnswer: -737.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/191340 and -7\/585713.\nAnswer: 105428340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.23 - 0.03. Let x = -5 + g. Let d be 51\/(-57) - (-1 - 0). What is the nearest to x in d, -2, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(2\/5)\/b)\/b)\/b)\/b**3*(b**(-1\/4))**(47\/4))\/((b**(-2\/5)\/b**(-5\/4))\/(b**(4\/3)\/b*((b**(1\/2)*b)\/b)\/b)) assuming b is positive.\nAnswer: b**(-2293\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c - 1. Let t(i) = 21*i - 14. Let g(x) = t(x) - 4*u(x). Let z(a) = a - 11. Give -3*g(o) + 2*z(o).\nAnswer: -o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7560057 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = j - 2*j + 5, 0 = -4*u - 3*j + 13. Let k(v) = -v + 1. Let i(y) be the second derivative of -5*y**3\/6 + y**2 - 31*y. What is u*i(m) - 2*k(m)?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwj when three letters picked without replacement from {j: 5, h: 4, i: 2, q: 1, z: 1, w: 7}.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdqihqq. Give prob of sequence ip.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 4*k**2 + 11*k - 14. Let o be b(6). Suppose -706 = -5*c + 2*f, -2*c + 398 = 2*f + o. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 8:40 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -311385 * 4\nAnswer: -1245540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02 - 0.24. Let c = b + 4.22. Let r be (3\/(-8))\/((-18)\/8). What is the nearest to 0 in r, c, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7543263 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 5*t + 119 = 4*a + 11, -14*t = -20*a + 20*a for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2016 (base 9) in base 15?\nAnswer: -683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**7\/840 + i**6\/120 - i**5\/20 - 7*i**4\/24 - i**3\/2 - 6*i**2. Let r(h) be the first derivative of c(h). Is r(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90743.21 kilometers to millimeters.\nAnswer: 90743210000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 7:36 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d. Let u(g) = 0*g - 5 + 7*g + 4 - 3*g. Suppose -5*a = 3*k - 17, 3*k + 3*a + a = 13. Let n be (3 - (-4)\/k)*-2. What is n*u(z) + 6*b(z)?\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 4 (b) -4\/5 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114201011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.37 (b) 1\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p + p - 4*p + (199 - 199 - 25*p)*(-11 - 15 + 1) to the form j + z*p and give z.\nAnswer: 626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 4. Suppose 2*k = -m*k - 25. Is k\/(2\/(2 - 6)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 7306?\nAnswer: 7306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 138.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 23*x - 3. Let n(i) = i**3 + 5*i**2 - 9*i - 6. Let z(g) = -g**2 + g + 1. Let v(h) = -n(h) - 5*z(h). Let d be v(-2). Is o(d) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1113, 1113, 1107, 1095, 1077, 1053, 1023?\n\"Answer: -3*f**2 + 9*f + 1107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -774*h - 6 = -768*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - u**2 + 10*u + 19. Let l be k(-3). Let a be -9 + l - (-47)\/26. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4 - 0. Let h be -1 - 0\/k - (1 + -3). Let x be h + (3 + -1 - 3). Solve -5*q - 5*t + 4 = 24, 3*t + 15 = x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307090.8 minus 0.2?\nAnswer: 307090.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 170 - 92. Let j be ((-74)\/w + 1)\/(124\/558). Is 0 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**3*y**3 - 23*h**3*y + 5049*h*y**3 + 8*h - 2*y**3 + 3*y**2 wrt y?\nAnswer: 12*h**3 + 30294*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1102 - 5?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 132\/28 + ((-32)\/28)\/(-4). What is the fourth smallest value in 3, -1, j, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10337, -20323, -30309?\n\"Answer: -9986*d - 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -16. Suppose 4*u - f = u. Suppose -3*p - 2*p = z - 24, -5*p = 2*z - 28. What is the least common multiple of u and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -13*s**2 - 11*s + 5. Let h(j) = -3*j**2 - j + 2. Let p(f) = 3*h(f) - v(f). Give p(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*p + 97*p - 21 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*q = -2 + 4, -5*q = 0. What is the third derivative of 5*j**2 - j**2 + 2*j**2 - 20*j**6 - 4*j**k wrt j?\nAnswer: -2400*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by -8 - -8 - (0 + -2 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13*(4 - 6 - (-2 + (-2 - -3)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = 6*k + 5*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/30)\/((-2)\/(-50)))\/((-140)\/(-1050))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18\/5 + 12\/5*w**2 - 3\/5*w**3 - 3\/5*w = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 4:06 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*d**3 + 4*d**2 - 2*d**4 - 117 + d**4 + 0*d**2 + 37*d**3 to the form q*d**2 + h*d + c*d**3 + s*d**4 + x and give x.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 a factor of 295490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75304?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*m = 3013, 3*o = -8*m + 9*m + 9017. What are the prime factors of o?\nAnswer: 5, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w - 7. Suppose -8*f = -3*f + 50. Let y be j(f). Round y to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 - 3)*(-81 + 81 + 41*u**3) - 9*u**3 + 10*u**3 + 14*u**3 to the form z*u**3 + g + a*u + i*u**2 and give z.\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3\/7 (b) 523 (c) -0.1 (d) 5 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -651*y - 1461. Calculate the smallest common multiple of g(-6) and 50.\nAnswer: 24450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okov when four letters picked without replacement from {d: 5, v: 8, k: 2, o: 4}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.5 - 6.6. Let m = -5.3 + b. Let n = -4.4311 - m. Round n to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 284, 415, 546, 677?\nAnswer: 808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 70\/4*(-16)\/20. Suppose 2*g + 6 = -0*g. Put u, g, 4 in ascending order.\nAnswer: u, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/(-60)*((-32)\/(-6))\/((-6)\/(-9))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2920501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/5*5*3\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -7. Let c = -0.99936 + i. Round c to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*x + x - 738, -3*x + 732 = -f. List the prime factors of 2 + 2 + x\/5.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35248 + 55907. What are the prime factors of i?\nAnswer: 73, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*i - 66 - 28 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.02373 rounded to 0 dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ie when two letters picked without replacement from eieeeeeiieeiee.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1672 - -1680. What is the biggest value in -15, 2\/11, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*c**5 + 7680*c**4 + 67338*c**3 - 122498*c**2 + 54480*c - 7200 = 0 for c.\nAnswer: -20, 3\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3253, 6503, 9753, 13003, 16253?\nAnswer: 19503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2006 (base 10) to base 5.\nAnswer: 31011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1230 is divided by 416?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*r = 56, 0 = 2*v - 0*r - 3*r - 30. Let u be (-1680)\/28 + (1 - 5)*1. Calculate the least common multiple of v and u\/(-7) + 12\/(-5 - 79).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 3*d**2 + 2*d + 28. Let f be x(-4). Suppose 10 = 2*t - 4*b + 5*b, -f*t + 28 = 4*b. Factor 3\/2*g**4 - 9\/2*g**2 - 3 + 3\/2*g**t - 15\/2*g.\nAnswer: 3*(g - 2)*(g + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-90)*(-6)\/(-2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9583*f - 6772*f - 4372*f as u*f + r and give u.\nAnswer: -20727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 88602.23km in meters?\nAnswer: 88602230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 23*h - 84. Let g be v(15). Suppose 26*p + 6090 = g*p. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.45 + -2.55. Let u(h) = h - 2. Let j be u(4). Which is the nearest to j? (a) 3 (b) o (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7550*g**3*x**2 + 64*g**3 + g**2*x + 41*g*x**4 + 6*g*x - 3*g - x wrt x.\nAnswer: 15100*g**3 + 492*g*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2395427537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**4 - z**3\/3 + z + 1. Suppose -8*j - 18 = -10. What is d(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + v + (7*v - 2*v - 3*v)*(3 - 1 + 0) + 0 + 2*v + 0)*(51 - 51 + 7*v**2) in the form u*v + q*v**3 + d*v**2 + n and give q.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1164488.34 rounded to the nearest 10000?\nAnswer: -1160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 756022 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*z - 3, 6*h + 2*z = 2*h + 2. Let w be (11\/3)\/1 - (-58)\/174. Suppose -1 = w*b - 13. Solve h = -n - 0 - b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 118.969? (a) -12 (b) 5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-7)*p)\/(p*p**(4\/5)*p))\/((p\/(p\/(p\/p**(-7)))*p)\/p**6) assuming p is positive.\nAnswer: p**(-59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5 = 2*a, 5*g - a - a - 19 = 0. What is the least common multiple of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = 4. Let f be j + 45\/6 - 2\/(-4). Solve f*z = -2*u - 10, -3*z = -2*z + 3*u + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 371 - 4079\/11. Sort -3, o, 1, 68 in descending order.\nAnswer: 68, 1, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)\/sqrt(90))\/(sqrt(12)\/sqrt(4)*-1) - (1*(sqrt(7)*4)**2 - (sqrt(14)*1)\/sqrt(2)))*2.\nAnswer: -224 + 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 7) + 56\/175*10.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*l + 65. Let k(c) = c + 23. Is k(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 5*n - 251, -n - 195 = -3*o - 2. Let v be 0 + (-4)\/(o\/(-36)) + -2. Let w = 5 - 10. Put w, v, 2 in increasing order.\nAnswer: w, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-2)*((g\/g**(2\/3))\/g)\/g*g)**(2\/9))**38 assuming g is positive.\nAnswer: g**(532\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w - 45387 + 315881 = 0. What is the thousands digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46112*y**2 + 96343*y**2 - 26232*y**2 - 17737*y**2 + 72009*y**2.\nAnswer: 170495*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 1. Let n be (-70)\/(-30) - (-4)\/6. Give i(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -173 divided by 26391?\nAnswer: -173\/26391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10 = -5*b, -o = 2*o - 5*b - 2. Suppose -5*g + o + 11 = 0. Suppose -14 - 4 = -g*l + m, 4*l + 3*m - 37 = 0. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (84475\/155)\/(36\/34 - 1)?\nAnswer: 5, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2 + 4*c + 2*c + 0*c - 5*c. Let v(h) = -12*h + 65. Let u(n) = 2*n + 1. Let x(q) = 2*u(q) + v(q). Let z be x(9). What is l(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18183289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(-74*u - 21*u**2 - 2*u**3 + 74*u) in the form p*u**2 + h + r*u + t*u**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 241151 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 6. List the prime factors of 3 - x*(-56 + 3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/7*-3)\/(((-8)\/(-84))\/(184\/(-207))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3\/4 - 4560*d**2 - 1795653*d\/4 + 2775573\/2 = 0 for d.\nAnswer: -18141, -102, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a*k**3 - 17*a*k**2*q + 4*k**3*q + 5*k*q + 3*k wrt a.\nAnswer: 4*k**3 - 17*k**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-60))\/((-609)\/(-3573096)). Let l = 139\/406 - o. Let r = l - 1478\/5. Calculate the common denominator of -24 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + y - 44 = 0, 3*f - 5*y + 76 + 4 = 0. Let i = f - -23. Solve i*k + 2 - 11 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1244?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 + 62*t**3 + 28*t**2 - 920*t + 1200.\nAnswer: 2*(t - 2)**2*(t + 5)*(t + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - p + p + 3*p + 0*p - 2*p + (-p + 3 - 3)*(-1 + 1 - 1) + p - p + 2*p - 8 - 4*p + 5*p + 4.\nAnswer: 7*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -159\/4. Sort q, 4, -3\/5, -1 in descending order.\nAnswer: 4, q, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/39)\/j**(-6\/23)*j**(-8\/5)*j**(-40))**(-9\/4) assuming j is positive.\nAnswer: j**(139227\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -5. Let x(d) = -20*d + 2. What are the prime factors of x(f)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 5, -4, -100?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 0. Suppose 2*f + 11 = m*o, f + 5*o = 9 + 8. Determine w, given that -5*w - 3*w + 4*w - 18*w**f - 24*w**3 - 10*w**4 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-405)*6 - (-19928)\/1431.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 369 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = u - 0. What is the derivative of -2 + 0 + 4*g**u - 2*g**3 - 3 wrt g?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 15 - 13. Let m(v) = -v**2 + 1. Let b(i) = i**2 - 2*i + 22. Let t(a) = s*m(a) - b(a). Is t(10) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (4 - 4) + 0. Let p be (1 - -2)\/(3\/2). Suppose p*c + c = 120. Solve -f*s + 4*q + c = 2*s, -2*s = -2*q - 18 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1247122, 1247128, 1247136, 1247146?\n\"Answer: x**2 + 3*x + 1247118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.92 + 0.08. Let m = j + -6.4. Sort 2\/21, -2\/3, m in ascending order.\nAnswer: -2\/3, m, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/9 (b) 3 (c) 0.04 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.16*-208.21\nAnswer: 33.3136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*i = 21980. Let l be 0 + 0 + 6016\/4. Let f = l - i. What is f rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -1, -4, -0.1.\nAnswer: -6, -4, -2, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2083 divided by 83.\nAnswer: 2083\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t + 3*t**4 - 1 + t - 3 + 0*t in the form q + m*t**2 + c*t**4 + p*t + z*t**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (142\/(-8))\/(3\/(-12)). Suppose -w = -4*j + 5*h + 16, 5*j = 3*h + 112. 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: What is 28 + -26792?\nAnswer: -26764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(17) + -1 + 0 + 5.\nAnswer: 4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73 in 0, 10, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 11:17 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -285\nAnswer: -85.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 500*t**3 + 263*t**2 + 9*t + 15. Let m(x) = 751*x**3 + 395*x**2 + 14*x + 24. Let h(u) = -5*m(u) + 8*s(u). What is the third derivative of h(o) wrt o?\nAnswer: 1470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 10:49 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(5\/2)*f*f**3)**(-1\/24) assuming f is positive.\nAnswer: f**(-13\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34290 rounded to the nearest 100?\nAnswer: 34300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1894992 and 106700?\nAnswer: 47374800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**4\/24 + 7*d**3\/6 + d**2. Let m be -5 - 10\/((-80)\/408). Suppose 5*u = h - 1, -4*h + 51*u = m*u - 19. Give p(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -i**2 + 4*i - 12. Let u(x) = -3*x + 7. Determine -4*u(c) + 7*z(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1328 divided by -83\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z**2 + 56*z - 29. Calculate l(13).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -520*z + 0 - 533*z - 547*z + 0 + 1500*z.\nAnswer: -100*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2910336?\nAnswer: 2, 3, 11, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5537384.\nAnswer: 2, 173, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1567*g**3 + 393*g**3 + 393*g**3 + 401*g**3 + 377*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1 + 7 = -q, 0 = -4*q - 24. Put -24, -11, x in descending order.\nAnswer: x, -11, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = 4*l - 187. Let o be ((-3)\/9)\/((-2)\/(-6)). Sort 4, o, l in descending order.\nAnswer: 4, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 3098616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8636074, 8636101, 8636128, 8636155?\n\"Answer: 27*a + 8636047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204*j + 9943*j**3 - 267*j**3 - 407*j.\nAnswer: 9676*j**3 - 611*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 385521360*r**2*u - r**2 - 6457*r*u - 2*r - u + 323 wrt r.\nAnswer: 771042720*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3148, 3151, 3156, 3163, 3172?\n\"Answer: v**2 + 3147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 8:09 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*f + 3, 2*v + 2*f = -0*v + 6. Suppose -2*w - 4 = w + 5*o, w + 4*o + v = 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6382.16 kilometers to centimeters.\nAnswer: 638216000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -144 - -144. Suppose 2 = -2*h, -4 = -4*j + 5*h + 9. Let n = 0.3 + -0.4. Which is the second biggest value? (a) j (b) n (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 219, 10, 5, 0 in increasing order.\nAnswer: 0, 5, 10, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 12 = -t + 5*t, 4*d = t + 16. Suppose 2*n - 4*n + 38 = -5*p, t = 2*p + 2*n + 18. Which is the biggest value? (a) -2 (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*c**2*t**5 + 2*c**2 + 2*t**5 - t**2 - 5*t wrt t?\nAnswer: -1680*c**2*t**2 + 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-6))\/((32\/30)\/4). What is the third biggest value in -2, b, 0.4, 3\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/7 + 9*u\/7 - 36\/7.\nAnswer: (u - 3)*(u + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4512*-13.015.\nAnswer: 58723.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288337.\nAnswer: 7, 17, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d + 5 - 5)*(-1015 + 1015 - 8*d**2 - 11*d) + (-3*d + d + 0*d)*(2*d**2 + d**2 - 5*d**2) as s + h*d**2 + j*d**3 + x*d and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 11, 1\/7, -55?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.4 + -9.44. Let o = 0.16 + -0.02. Let h = o + d. Sort -5, 3\/7, h in descending order.\nAnswer: 3\/7, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 10*c**2 - 1266*c - 7645. What is g(-6)?\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**5 - 2*y**5 + 7*y**5 + (0*y**3 + 3*y**3 - y**3)*(-433*y**2 + 860*y**2 - 434*y**2) + 3*y**5 + 0*y**5 - 2*y**5.\nAnswer: -11*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*sqrt(2)*1.\nAnswer: -3*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1750 - -1747. Let a = 5 - 4.82. Let j = 0.2 - a. Put 4, j, f in descending order.\nAnswer: 4, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -135 - -206. Let l = p + -37. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + 12\/(-8)*-62?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 1222?\nAnswer: -1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 11. Let s = -3 - -3. Let x be p(s). Let c(l) = l**3 + 12*l**2 + 6*l - 6. Is c(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23889 + 78*b + 72*b + 7961 + 7960 + 7968 - 151*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -1. Suppose 4*w + 25 = 3*h, -h + 3*w = d*h - 27. Solve -h*o + 5 = -4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.07, 9, 1\/4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djxjojwj. What is prob of sequence wj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 13*c + 495. Let f be i(-38). Solve -2*o = 2*g + 12, -o = -2*g - f - 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1019, -2038, -3045, -4034, -4999, -5934, -6833?\n\"Answer: z**3 - 1026*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 6*x = 16. Let g = x - -15. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 32, 182, 578, 1340, 2588, 4442, 7022, 10448?\n\"Answer: 20*a**3 + 3*a**2 + a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -3*u - a, 4*a - 1 = -2*u + 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4854 is divided by 342?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6875 - -60396617?\nAnswer: 60389742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 16*a = -15*a + 6, 0 = -4*d - 2*a - 4. Let g be d\/(-22)*-2 + 576\/22. Let h = 213 - g. Calculate the remainder when h is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222, 482, 828, 1266, 1802?\nAnswer: 2442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*x + 74*x - 6116 = 90*x for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.1 - 3. Let w = 8 + -9. What is the closest to a in -3\/4, -2, w?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529720230?\nAnswer: 2, 3, 5, 13, 1358257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 10*c + 39. Calculate f(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 39a - -6a0701?\nAnswer: 6a0aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3.5 times 76\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 372 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -498.9326+-23659\nAnswer: -24157.9326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(1\/4 + (-4)\/(-16)). Let l be (-20)\/f + (-5)\/(15\/2). Let o be l - (-1)\/(2 + (-3)\/2). Solve -p = c, -2*c - 3*p = 2*c + o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*v - 344, -2*v = 4*b - 73 - 49. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**3\/7 + 54*x**2 + 18048*x\/7 + 17672\/7 = 0.\nAnswer: -94, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35159936 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: Determine f so that -2*f**2\/5 + 274848*f\/5 + 1649448 = 0.\nAnswer: -30, 137454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*m - 1052 = 171*m + 189*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.338 - -1.338. What is the nearest to -0.4 in 3\/5, l, -1\/2, 1\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24774 divided by 1?\nAnswer: 24774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*m*x**6 + 26*m*x**3 + m*x**2 - 8676*m*x + 26183*x**4 + 4*x**2 + x wrt x?\nAnswer: 720*m*x**3 + 156*m + 628392*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * -0.03.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -594*p = -605*p + 44. Suppose -4*g + 18 = -2*x, -5*g - x = x - 27. Sort p, g, -86 in descending order.\nAnswer: g, p, -86","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-3 - (-3 + 0)). Solve 4*t = -4*h + 32, b = -3*h - 4*t + 4 + 23 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1491*a - 135 - 118 = -1400*a - 1072 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1269033*s**2 + 304390 wrt s.\nAnswer: -2538066*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -184\/11, -1020\/13?\nAnswer: -184\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58a2 (base 12) to base 6.\nAnswer: -113522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 + 56*m - 182. Give p(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -224 by -1.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (1*sqrt(84) + sqrt(84)))*6)\/sqrt(12) + (((sqrt(35)*-2 - sqrt(35)) + sqrt(35))*4)\/sqrt(5) + 2.\nAnswer: -14*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1364873 and 1134295?\nAnswer: 3719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y - 17*y + 2*u = 10, 8 = 3*y - 5*u for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 57\/132 - 9\/(396\/8). Let x(w) = 2*w - 9. Let o be x(6). Let z be (o\/12)\/(-1 - -2). Which is the nearest to y? (a) z (b) -2\/19 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 5:12 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 178*m - 14. Let p(f) = -6*f - 8. Calculate b(p(r)).\nAnswer: -1068*r - 1438","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 196217448 divided by 159?\nAnswer: 1234072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 794475 to the power of 1\/2, to the nearest integer?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1653395284\/582134805 - -32\/781389. Let t = -6\/149 + f. Calculate the common denominator of 35\/6 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331576 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 11:51 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/105)\/(12\/(-90)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**25*w)\/((w\/(w*w**2*w))\/w*w)*w*w*w\/(w*w*w*w*w\/(w*(w**(2\/21)\/w)\/w)*w)*w*w\/(w*w**(-1\/3)\/w*w) assuming w is positive.\nAnswer: w**(185\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.4285476ns?\nAnswer: 0.0004285476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 130170255 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, r: 1, y: 6, j: 4, w: 1}. Give prob of sequence hh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6182 + -a?\nAnswer: 6173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 42*g - 306. Let u be r(-12). Solve -u = -34*s + 43*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71 divided by 71.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.5, -1\/4907, -3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 4:16 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 433.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 87954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 4*n + 3*n)*(-24*n - 2 + 4 + 13*n).\nAnswer: 22*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 12*x**2 + 24*x + 99. What is the units digit of w(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**2. Let k(a) be the second derivative of a**7\/2520 - a**4\/6 + a. Let j(p) be the third derivative of k(p). Calculate j(n(z)).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-24)\/48 - 685*(-1)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 128944528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1649 divided by -17.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 90388909 divided by 19\nAnswer: 4757311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*u - 179*u - 728 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 30 - m**2 - m**4 - 251*m - m**3 + 251*m to the form u*m**4 + i*m**2 + x*m**3 + w*m + o and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*y - 1471, -3*y + 647 + 800 = 4*k. What is the common denominator of 0 + 1\/(-54) - 0 and k\/1911*(-354)\/(-8)?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -39, -112, -225, -384, -595, -864?\nAnswer: -1197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 28 = 31*a + v, -7*a - a = -4*a + 5*v + 11 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1233 times -0.2\nAnswer: -246.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from qqqwhhwwwwqkpwh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (980\/(-30) - 5)) + -28\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 12:30 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 14*l. Let k be x(-8). Let y = k - -13. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-17)\/(85\/(-180)))\/(10\/(-185)). Let l = 1251 + r. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10 = 0, 0 = 4*m - 2*u - u - 2415994. What is m rounded to the nearest 10000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1165 at most as big as -26.556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*i - i. Let l = -0.073 + 6.473. Let v = -6 + l. What is the nearest to -2\/5 in 0.2, i, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 80816066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/16522945 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/9 - (-40)\/12. Suppose 0*h + h + q = 0. What is the common denominator of 71\/2 and 4 - 147\/12 - h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 + 21*w - 36. Let c(q) = -2*q. Let r(i) = a(i) + 4*c(i). What are the prime factors of r(-13)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42336095 to the nearest 1000000.\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2235 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24823666 to the power of 1\/2, to the nearest integer?\nAnswer: 4982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2245*k**2 + 1126*k**2 + 1092*k**2.\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, x: 2, l: 1, g: 2, e: 1, z: 2}. What is prob of picking 1 z and 1 x?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -21*j + 9*j + 3*j + 5*j - 14. Let l be b(-4). Calculate the highest common factor of l and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3, -2, -0.1, 2\/9, 3588 in descending order.\nAnswer: 3588, 2\/9, -0.1, -0.2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 185 and 760.8.\nAnswer: 140748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, t: 2, q: 1, b: 4}. Give prob of sequence bt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 7*j.\nAnswer: -j*(j - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 334906768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -12*v. Let o(c) = 2*c**2 + 9*c + 4. Let a be o(-4). Let u(j) be the second derivative of 11*j + 0*j**2 + a + 1\/6*j**3. Determine u(s(x)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 9*q**2 - 11*q - 11. Let k(m) = 10*m**2 - 4*m + 3. Let y(t) = 9*t**2 - 4*t + 2. Let p(z) = -6*k(z) + 7*y(z). Determine 4*n(h) - 11*p(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 152*o + 461. Let q be i(-3). Let c(h) be the third derivative of q*h**2 - 4\/3*h**3 + 0 + 1\/3*h**4 + 0*h. Differentiate c(k) wrt k.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10623 - 10368. Solve 237 - m = -6*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (-4 - (-2 - -1)). Let n be (-8)\/(-1) + 3\/x. Let f(l) = -4 - 4*l - 2 + n*l + 3. Calculate f(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-23 + 14 - -3) + 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 227181029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 7*i. Suppose i*q + 2*q - 4 = 0. Suppose 15 = -3*l, -3*u + 40 = q*u + 5*l. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**5 + 2*l**4 - 2*l**4 + 0*l + 0*l + 2*l**5 + l**5 + 4 - 4 + (4*l**2 - 4*l**2 - l**2)*(1 - 1 - l**3) + (21 - 22 + 11)*(-312*l + 312*l - 57*l**5).\nAnswer: -567*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 1\/2, 3\/2, 1, -5529?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20616 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 + 84\/(-7) + -2 + 4. Sort y, -46, -3 in increasing order.\nAnswer: -46, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 94881274 and 18?\nAnswer: 853931466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -722*n**2 + 1\/5*n**5 - 13*n**4 + 64*n + 266*n**3 + 0. Factor f(t).\nAnswer: 4*(t - 19)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 288 - 11300. Suppose -5*u - 5*k = -2765, -5*u - 4*k = -5*k - o. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*((k*k*k**(1\/2)*k)\/k)\/k)**(5\/17))**5*(k*k**(2\/9)\/k*k*k**(-2\/27)*k*k)\/(k**(3\/7)\/((k\/((k\/(k\/(k*k\/(k**(-7)\/k))*k))\/k)*k)\/k)) assuming k is positive.\nAnswer: k**(-3881\/6426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r - 2721*r**2 - 4180*r**2 + 8*r.\nAnswer: -6901*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0497642386 + -13289?\nAnswer: -13288.9502357614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 10:48 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = -5*m + 4*y, 5*m + 5*y + 199 = -101. Let g be (-21)\/28 + (-57)\/m. Let 1\/5*x**2 + 2\/5*x + g = 0. What is x?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113587417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a. Let c(m) = m**2 + m - 2. Let r(v) = 1. Let o(n) = 8*n**2 + 4*n - 12. Let j(g) = o(g) + 4*r(g). Let y(f) = -20*c(f) + 5*j(f). Calculate y(p(z)).\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, f: 3, s: 1, a: 2}. What is prob of sequence aasf?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*l - 45*l - 17*l = -291 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 231 - 77 = 0. Suppose -3*o = a - 23. Let j = 26 + o. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.5761976 millennia?\nAnswer: 57.61976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - k = 2 - 0, -4 = -3*x + 2*k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 7037*c**3 + 3*c**2 + 2 - 6902*c**3 - 3*c**2.\nAnswer: 135*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 1*(2 - 1). Is -9\/11 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*f - 228*f + 94*f**3.\nAnswer: 94*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1200 and 1052?\nAnswer: 315600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 957, 2, 167, -4 in descending order.\nAnswer: 957, 167, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(2\/7))**(2\/7))**6\/((z**1*z)**34*z**(-1\/5)\/z**6) assuming z is positive.\nAnswer: z**(-14841\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**5\/5 - 6442*j**4 + 370006*j**3\/5 - 964976*j**2\/5 + 450232*j\/5 + 514624\/5 = 0?\nAnswer: -1\/2, 2, 8, 8041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 0*v + 3*i + 17, -4*v - 33 = 5*i. Let w = -5 - v. Let y = w - -5. Which is greater: y or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-5) + 1)*(0 + -1)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - 13*t**2 + t**2 - 2*t to the form i*t + r + h*t**2 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24022 - -44325. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1))**(-11\/2)\/(z*z\/z**0)**(-23\/6))\/(z\/(z\/((z*z\/(z\/z**(2\/13)))\/z))*z**(-2\/7)*z*z\/z**(7\/5)*z**5) assuming z is positive.\nAnswer: z**(21017\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 1811, 5, -88, 0.1 in decreasing order.\nAnswer: 1811, 5, 0.1, -2\/9, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25370236 to the power of 1\/3, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 2, -2\/145, 2\/3, 3, -1.\nAnswer: -1, -1\/2, -2\/145, 2\/3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 7:32 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5343.\nAnswer: 3, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 3 - 2)*(-2 + 1 + 2)*(k**2 + 6*k**2 + 4*k**2).\nAnswer: -143*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**3\/2 - 5*o**2 + 28*o. Is 9 a factor of f(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*c + 17 = 0, -36 = 3*n - 4*c - 11. Let t be n\/(5016\/30700) - (-2)\/(-4). Let b = t + 310\/19. What is the common denominator of b and 46\/17?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3907000 to the nearest one hundred thousand.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, k: 3, r: 3, b: 2, z: 7}. Give prob of picking 2 k and 1 z.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73.8 - -48.1. Let t = 18.7 + q. What is the closest to 2\/11 in -2, -5, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 9*w + 2. Let n = 15 + -6. Let h be t(n). Let v = -1\/110 + 227\/770. What is the second biggest value in h, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -838 (base 13) in base 14?\nAnswer: -71d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1101011100111110 (base 2) to base 7\nAnswer: -316435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1.51\nAnswer: -1.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*z - 123 + 113 = 0, -2 = -z. Let m = 47 + -77. Let i be (o\/10)\/((-1)\/m). What is the highest common divisor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -463b + 1bc?\nAnswer: -444c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 3:28 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -7 + 3)*1 + -4. Let a(l) = -l**2 - 5*l + 7. What is a(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 13 - 11*c + 9*c**2 + 7.\nAnswer: 9*c**2 - 15*c - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**6\/120 + k**5\/60 + k**4\/24 - 3*k**2\/2 + 2. Let r(n) be the second derivative of o(n). What is r(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -10. Suppose -3*b + 0*b = 4*u + 15, -7 = u + 4*b. Sort u, -2, l.\nAnswer: u, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = -1. Let b be 0\/((6 - h)\/(-4)). Suppose 0 = -b*f + 3*f - 6. Solve -w + 9 - 2 = 4*v, -5*w = -f*v - 13 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -8*y - 23. Suppose 7*g = 17 + y. Solve 9*c - 4*c + n - 20 = 0, -5 = 2*c + g*n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + t = -1, -450*t = -r - 453*t - 35 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**3\/3 - 77*y**2\/3 + 165761*y\/3 + 55279 = 0.\nAnswer: -447, -1, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3467 + -3466.9. Let h = 1.6 - 1.6. Sort -0.046, h, f, -2 in increasing order.\nAnswer: -2, -0.046, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = v + 2*v + 4*v + 43, -2*h + 0 = -9 - 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 120101011020022?\nAnswer: -120101011020011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*b + 116\/23*b**2 + 2\/23*b**3.\nAnswer: 2*b**2*(b + 58)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a. Let s(j) = -22*j - 2. Give -5*h(l) + s(l).\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62 - -64. Solve 0*m - n + 1 = m, -p*m = -3*n - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29013228.\nAnswer: 2, 3, 19, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 201149 to the power of 1\/2, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 83391 and 45087?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26602, 1, -16.\nAnswer: -26602, -16, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q. Let n be v(-3). Let x be -8 + (4 + 104\/(-24))*-33. Calculate the greatest common divisor of x and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - 7. Let q = f - -10. Suppose q*b = b. Solve p - 5 + 2 = b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t**0\/t)*t)\/t)**2*(t**(-1\/3)*t)**(2\/89) assuming t is positive.\nAnswer: t**(1606\/267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*s = -6, 4*n = s + 4 - 13. Let w be ((-6)\/(-8))\/((-6)\/(-4)). What is the closest to w in -0.2, -4, n?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 5*b - 1, t - 3*b - 1 = 1. Which is bigger: t or 2\/35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4700821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13050554*r**2 + 70955980?\nAnswer: -26101108*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 23. Let w(m) = -2*m + 27. Let v be w(q). Solve -4*u - 27 = v*c, 0 = -3*c + 2*c - 4*u - 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71759\/22 - -3263. Calculate the common denominator of n and -1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 9) in base 3?\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/5 or 563256?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/2574 and 41\/24420968.\nAnswer: 219788712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t - 4. Let s be u(5). What is the units digit of -1 + s + -1 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d**(-30))*d*d**(-39))**(13\/5))**(-9) assuming d is positive.\nAnswer: d**(819\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u**2 + 25*u - 110. Let f(r) = r**3 + 12*r**2 - 11*r + 31. Let j be f(-13). Let l be w(j). Which is bigger: 2\/5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6820)\/5301 - 6490\/(-2655).\nAnswer: 22\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 960, 1967, 3036, 4179, 5408, 6735, 8172, 9731?\nAnswer: 11424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**3\/3 - 15*r**2\/2 - 14*r + 10. Is 6 a factor of b(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 267552 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 239121348?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 20*t**2 + 17*t + 35. Give x(19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2923 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 48*g**3 - 2 - 11.\nAnswer: 48*g**3 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/25 - 21051\/(-17055). Do 0 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*600\/240*(-3)\/10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2320 and 1740?\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/733 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.17 + -0.8. Let k = 23.63 + r. Let h = 25 - k. What is the second biggest value in -1\/4, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence woo when three letters picked without replacement from wowwowwwwoww.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 75\/10*10\/25. Let k(f) = -a*f**2 + 46*f - 57*f + 8*f**2 - 9. Is k(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 + 14*n. Let u(j) = 14*j + 17*j - 28*j. Determine u(a(c)).\nAnswer: 6*c**2 + 42*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 - 85. Suppose -r*y = -y - 4*z - 6, y - 4*z = 2. What is the third derivative of 10*c**6 - 28*c**6 + 10*c**y + 9*c**2 wrt c?\nAnswer: -2160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cv when two letters picked without replacement from vvpevecppgpeeceeg?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/18)\/(416\/468)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20012682?\nAnswer: 2, 3, 59, 56533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/11 + 18*l\/11 - 40\/11.\nAnswer: -2*(l - 5)*(l - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5325 and 157620.\nAnswer: 788100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14283, 14281, 14279, 14277, 14275, 14273?\n\"Answer: -2*h + 14285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10200 (base 5) in base 13?\nAnswer: 3cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*k + 2*k = 53 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*j**4*r - 3151*j**3*r + j**3 + j**2*r - 2*j**2 + 33*j + 2*r + 6127 wrt j?\nAnswer: -120*j*r - 18906*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39.36 + 0.36. Let b = h - -39.000062. Round b to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9303303 (base 10) to base 8.\nAnswer: 43372407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38.1 - -36.1. What is the nearest to 1 in -243, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -315?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(1*-35*(-6)\/30)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 471 (base 16) to base 3.\nAnswer: 1120010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) + 1 + -4 + (sqrt(1377) - (sqrt(1377) - (-5 + sqrt(1377)*2)))**2.\nAnswer: -171*sqrt(17) + 5530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + ((sqrt(704) - (sqrt(704)*1 - sqrt(704))) + 4)*-5 + 2)**2 + -4.\nAnswer: 1760*sqrt(11) + 18080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 + -122323?\nAnswer: -122312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((192\/(-36))\/16)\/((-6)\/(-234))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*q - 190 = 66 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 3*c + 4. Let n(w) = 2*w**2 - 7*w - 7. Let i(u) = 5*a(u) + 3*n(u). What is i(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifteen quarters of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 63, 129, 195, 261, 327?\n\"Answer: 66*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/4)\/m)\/m*m**(1\/3)*m)\/(m**(-2\/17)\/(m**(-4)\/m*m)))\/((m\/m**(-4)*m*m*m**6)\/(m**0*m)**(-36)) assuming m is positive.\nAnswer: m**(-10873\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**3 + 4*q**2 + q - 4. Let n(z) = -z**3 - z + 1. Let a(k) = -j(k) - n(k). Calculate a(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 3*r + 28. Suppose 5*c - r = -22. Suppose -4*l + l = -w + 1, -2*l - 4*w = 10. Is c not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 359 divide 2535803680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-38)\/95)\/(1\/(-15)). Calculate the highest common divisor of 15 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.7 or -1\/514?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/1545437 and -9\/7066058.\nAnswer: 2593243286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, -3, 5, 4, 9622 in decreasing order.\nAnswer: 9622, 5, 4, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(209)*3)\/sqrt(11).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135115 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**3 + 2*t**4 + 3 + 18*t + 36*t - 3 in the form d*t**2 + m + i*t + h*t**4 + p*t**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + x + 3. Let p be x + -1 + -2 + 0. Which is the third biggest value? (a) p (b) -4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -3 - (-713)\/(-115)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z - 7. Let f(q) = 2*q**2 - 2*q + 1. Suppose 2*b + 5*c - 6 = 0, -4*b - c - 8 = b. Calculate the remainder when f(b) is divided by m(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c - 41*c + 7200. Calculate the highest common divisor of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/5 - 126016*f\/5 - 3277768\/5.\nAnswer: 2*(f - 63034)*(f + 26)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25128 and 144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*l - 18865, 2*l - 3*l + 9440 = -u. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -358 + 349. Suppose 2*q - 3*c + 62 = 0, -44 = 2*q - 2*c + 14. Let x = z - q. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, j: 1, g: 2, v: 1, z: 1}. Give prob of sequence gjz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**7\/315 + v**6\/180 - v**5\/90 - v**4\/36 + 18*v**2. Suppose u(t) = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5 (b) 1\/2 (c) -2\/103 (d) -125\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*o - 12. Let f be 8\/3 - (-12)\/o. Which is the closest to f? (a) 5 (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = -30*c - 21*c. Let j(l) = 2*l + 3. Calculate j(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48468a (base 11) to base 16\nAnswer: bb5f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -105, -214, -337, -480, -649, -850, -1089?\n\"Answer: -k**3 - k**2 - 99*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8726*y**2 + 17448*y**2 - 1229 - 8723*y**2 to i + v*y**2 + u*y and give i.\nAnswer: -1229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*o + 4*q, 0*q + 3*q = 2*o + 7. Is 234 + (4\/4)\/o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*(-156)\/(-286)*1\/(-4)*6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319551721.\nAnswer: 37, 8636533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*o**2 - 242*o**2 - 51*o**2 - 38*o**2)*(9*o + 38*o + 9*o).\nAnswer: -15568*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494 is divided by 168?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.971 + -0.029. Which is the nearest to 0.1? (a) -4\/7 (b) -0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0889 - 0.0889. Let m be (-1 - (-10)\/9)*2. What is the second smallest value in v, m, 1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 0 + 0*t - 2*t**2 - 1\/12*t**4 + 1\/6*t**3. Let s be n(1). Do s and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 380592 + -380587. Let m be 2 + -2 + -1 + 4. Solve d*g + m*z = 0, 2*g + 0*z = -5*z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 58, -2\/9, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = i - 6. Suppose y = -i*y + 84. Suppose -z + 4*k + y = 0, -z = -3*k - 9 - 14. Solve -17 = 3*o - z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 12*m + 15*m - 8*m - m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 0*m + 0 + 0*m**3 - 2*m**2 - 3\/20*m**5 - 3\/8*m**4. Find the second derivative of v(s) wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 505451 to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000555967 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q*q**(-5\/6))\/q)\/q)\/q)\/q*q\/q**(-2\/7))**(-1)*((q\/(q*q**(-1)\/q)*q)\/q)**6\/(q**(-1\/7)*q*q\/q**5) assuming q is positive.\nAnswer: q**(743\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -35. Let t = r + -13. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32, 13, -18, -61, -116, -183?\n\"Answer: -6*r**2 - r + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**5\/20 - 13*c**2. Suppose -2*m + 10 = z, -4*m = -2*z - 3*z - 20. Let j(i) = 7*i**2 - 3*i**2 + z*i**2. Give x(j(v)).\nAnswer: -48*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*(-52)\/104*-60\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - w**2 - 722*w - 703*w + 1425*w.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**3 - 10*p + 4*p**3 + 148*p**2 + 14 - 157*p**2. Does 3 divide l(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*t + 556 + 55 = 0, -f + 2*t = -631. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 15 = -3*t - 3*z, 0 = -4*t + 3*z + 20. Suppose 5*b - 2*s = 9 - 33, 0 = -3*b - s - 10. Let o = b - -14. Solve t*k = -0 - o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 367.\nAnswer: -6\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - u**2. Let f(q) = 19*q**3 - 4*q**2 + 3*q. Let t(k) = f(k) - 2*i(k). Find the third derivative of t(z) wrt z.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 8:52 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/8)\/((d\/(d*d\/d**(-2\/17)*d))\/d))**(10\/13) assuming d is positive.\nAnswer: d**(2205\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -12*m**2 + 6*m - 47. Let z(k) = -2*k**2 + k - 1. Let p(b) = -v(b) + 5*z(b). Let a be p(7). Calculate the greatest common divisor of 38 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126\/147*((-315)\/27 - -7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -132bb - 4e1?\nAnswer: -137ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1207, -2603, -4009, -5425, -6851, -8287?\nAnswer: -9733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -192 + 201. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16 - (-2 + (-3)\/(-3)). Let l = 22 - r. Suppose -62 = -4*f - 2. What is the highest common factor of f and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.14 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 157, 183, 257, 403, 645, 1007?\n\"Answer: 4*n**3 - 2*n + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -24230 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y - 3. Give b(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**2 - 2. Let w(j) = 3*j - 4. Let z(i) = 7*i - 9. Let x(a) = 9*w(a) - 4*z(a). What is f(x(d))?\nAnswer: -3*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*x**4 + x**4 + x**4 + (-4 + 0 + 2)*(x**2 - 2*x**4 - x**2) + (-4*x**3 + 6*x**3 + 0*x**3)*(-11049097 + 11049097 + 4604*x).\nAnswer: 9207*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54144 and 504.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*25\/(-90)*-15*12\/(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -52. Let c(x) = 5 - 8 - 5*x + 5 + 7. Let n be c(6). Which is smaller: n or p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 1 + 0)*(2 - 2 - 3*d) + 8*d + 3 - 7*d - 3*d + 3*d - 3*d - 7*d in the form u*d + b and give u.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-477)\/(-106)*(-50)\/(-45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -5. Let v = 1 - l. What is v rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51.56999894 + -51.57. What is r rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -260344.\nAnswer: -260343.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26\/5 of a century?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4565, -4, -3 in descending order.\nAnswer: 4565, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/929 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 4*g**2 + 13*g - 18. Calculate the remainder when 29 is divided by j(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-5))\/(102\/(-850)). Suppose -y*n = 10, -5*n = -g + 6*g - 1235. What are the prime factors of g?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/252 and 47\/44?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1505, 3017, 4531, 6047, 7565?\nAnswer: 9085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 55*v**2 - 102*v + 739. Calculate x(-57).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 10 = -3*r, -4*h + h + 22 = 4*r. Suppose -60 = -9*p + r*p. What is the lowest common multiple of 4 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, j: 3, y: 10, d: 1}. Give prob of sequence ny.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2257021 is divided by 48?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/650)\/((378\/45)\/(-7))\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(50))\/sqrt(2)*4*-2)\/(sqrt(60)\/(sqrt(12)*4) - sqrt(320)*1).\nAnswer: 96*sqrt(5)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (8 - -4 - 16)) + 1 + -24\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153) + 4*sqrt(153)*2)\/(sqrt(99)\/(sqrt(11)*-2))*1 + -3)*-5)**2.\nAnswer: 2700*sqrt(17) + 137925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/21)\/(600\/800). Factor 0*g - v*g**3 + 0 - 6\/7*g**2 - 2\/7*g**4.\nAnswer: -2*g**2*(g + 1)*(g + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57610*v**4 + v**2 - 13*v + 2455 wrt v.\nAnswer: 1382640*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -12*y**3 + 536*y**2 - 352*y = 0.\nAnswer: 0, 2\/3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1576.2*-0.2\nAnswer: 315.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.36 + -0.19. Let l = -0.03 + u. Let v = -4.86 - l. Which is the third smallest value? (a) v (b) 3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1800115?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7336434 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - l - 2)*(5 - 1 - 2)*(2 + 2 - 3)*(8 - 8 + 42).\nAnswer: -84*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21657 or 2\/11?\nAnswer: 21657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 66, 147, 228, 309, 390?\n\"Answer: 81*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2082*z - 15*z**2 - 2082*z)*((-2 - 3 - 6)*(1 + 0 - 2) + (1 - 3 + 0)*(-3 + 0 + 5)).\nAnswer: -105*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28\/69 + -17\/23. What is the closest to l in 3\/4, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**4\/24 + 9*t**3\/2 + 2*t**2. List the prime factors of q(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14 - -825?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2097, 8398, 18901, 33606, 52513, 75622, 102933?\n\"Answer: 2101*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*v**2)*(-v + 4*v - 2*v) + v**3 - 2*v**3 - 3*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011111000001111 + 111100110000?\nAnswer: 11100110100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 2765*c - 183 = -2760*c, -2*c - 63 = -5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (7 + -8 - 8 - (-8 - 17)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -4 + (-8 - -15) + (4 + -2 - 6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -f - f - 2, 0 = 2*f - 5*k + 14. Solve x = f*b - 12 - 2, -3*b + 3*x = -24 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15.4 and -327.\nAnswer: -342.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, -8, -2 in descending order.\nAnswer: 7, 2, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150\/(-60)*-1*9032\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 6173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1*-910229\nAnswer: 910229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/11 (b) -4 (c) 8 (d) -2\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 2*f - 10 = -6, 3*f = 6*r - 33 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m + 27*m = 5. Let z be (3 + 1 + -1)\/1. Suppose -2 = 5*g + z. Sort 2, g, m in increasing order.\nAnswer: m, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 171, 574, 1357, 2646, 4567, 7246?\nAnswer: 10809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + i - 12, 5*w - 4*w - 4*i + 14 = 0. Let s(y) be the second derivative of -3*y**5\/20 + y**4\/12 - y**2\/2 - 168*y + 2. What is s(w)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.64 + 4.14. Let k be ((-12)\/(-10))\/(1\/5). Let u(o) = -o**2 + 5*o + 6. Let r be u(k). Which is the second smallest value? (a) -0.3 (b) x (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 983*g**2 + g + 382?\nAnswer: 1966*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12895?\nAnswer: 5, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2265527541.\nAnswer: 3, 43, 17562229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -69 (b) 2 (c) -0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4072 + -4047. Let q(g) = 30*g**2 + 3*g - 4. Let j be q(3). What is the highest common factor of w and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.3 + -16. Let v = -43.7 - i. Let j = v + 45.9. Round j to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + f - 6 = 0. Suppose 3 = 2*z + f. Let v be z + (2 - -4 - 4). What is the greatest common factor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46244 - 82505 = 3443*s + 73915 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**8)\/(y*(y\/((y*y**19*y)\/y)*y)\/y)*y**(-20)*y**(-10) assuming y is positive.\nAnswer: y**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101*j**5 + 194*j**4 + 31*j**2 + j + 229 wrt j?\nAnswer: -6060*j**2 + 4656*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -1157*i**6\/30 - i**4\/6 + 5*i**3\/6 + 54*i**2 + 8*i - 67. What is the second derivative of m(l) wrt l?\nAnswer: -13884*l**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6771.4 + -3.448787313.\nAnswer: 6767.951212687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1176*i + 2*i**3 + 726*i - 2898*i - 4 as a*i + j*i**2 + g + c*i**3 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20301410 rounded to the nearest 10000?\nAnswer: 20300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 6:03 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*d - 6 + 6 + 37*d + 31*d - 46 as v + a*d and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * -0.2239158.\nAnswer: 2.9109054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-107)\/(-535) + (-7101)\/(-2520) + -3.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 5. Let l be (10\/u)\/(-1) + -1. Let y = 2 - -1. Is l greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 9:03 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 125800000 to the nearest 1000000.\nAnswer: 126000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/3 (b) -71\/3 (c) 15 (d) -5 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 10, -2*c = -2*s - 1 - 21. What is the greatest common divisor of 4866 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 221 + -82154?\nAnswer: -81833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 624223, 624217, 624207, 624193?\nAnswer: 624175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = i - 28, 9*i - 5*i - 5*x = -13. Let n(m) = 20*m**3 - 7*m**2 + 4*m + 1. Let z be n(i). What is z rounded to the nearest ten?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7*j**3 + 2*j + 1. Let s be l(-1). Let c(y) = 11 - 2*y - s*y**2 + 3*y - 4 - y**3 + 0*y**3. Is c(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2. Let n(c) = -3*c**2 + 5 + 0*c**2 + c**2. Let j(t) = 9 - 2*t**2 - t**2 - 3. Let y(r) = -5*j(r) + 6*n(r). What is y(w(m))?\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/98 and (-94)\/14 + (-9 - (-120)\/8).\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + (sqrt(1573) - (1 + sqrt(1573)*2) - sqrt(1573)) - 3*-2*sqrt(1573))**2 - (0 + 5 + (sqrt(1573) + 1)**2).\nAnswer: -132*sqrt(13) + 37747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -1\/7*k**7 + 0*k + 0*k**6 + 0*k**4 + 0*k**2 + 3 + 0*k**5 + k**3. Find the third derivative of w(l) wrt l.\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/4))**(-7\/5)\/(b**(-5)*b\/b**(-3\/4)) assuming b is positive.\nAnswer: b**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 32\/11 (b) -0.4 (c) -2\/31 (d) -2 (e) 0.106\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 1:50 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 2*i**3 - i**3 - 14 - 1.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35696484 is divided by 42?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/4*12\/(-15). Let x be (-8 - -1) + 0 + r. Let l = x + 20. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 10035*b.\nAnswer: -5*b*(b + 2007)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -160781057 >= -160781058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + 20. Let z = t - 32. Suppose 0 = d + 3*d - 3*q - 25, 4*q + z = 2*d. Solve -25 = -p - d*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14599?\nAnswer: 13, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 619 - 523. Suppose -z - a = -101. Solve -5*l - 3*t + 19 = -6, z*t - 27 = -l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x - 11. Let f be a(-7). Suppose f*z + 24 + 0 = 0. What is the units digit of (-12)\/48 - 242\/z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/54)\/((-5)\/(-3)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 1134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -260?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 8. Is (-590)\/(-6) - d\/6 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -573496, -573486, -573462, -573418, -573348, -573246, -573106, -572922?\nAnswer: -572688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*x + 0 + 2\/3*x**4 + 0*x**3 - 2\/3*x**2.\nAnswer: 2*x**2*(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123870, 247395, 370572, 493401, 615882?\nAnswer: 738015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/14)\/(36\/(-42)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 11164 - 73908. Suppose o = k - 75888. Suppose 0 = w - k + 1574. What is w rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -346 + 586. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -9*g**3 + 88*g**2 + 2054*g - 53. Give i(-11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + ((-10 - (10 + -9)) + -1 + 9 - 57)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110101 (base 3) to base 9.\nAnswer: -3411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 405 and 288750.\nAnswer: 7796250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29\/189 + -97\/189. Suppose 29*p - 28*p = -2. Let a = 17\/55 - 7\/55. What is the biggest value in t, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 1 - 5 = 0. Let f(i) = i**2 + 3. Let w(x) = 2*x**2 + 4. Give n*f(d) + 2*w(d).\nAnswer: d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -8. Let t(i) = -20*i - 6*i - o + 4. Let h(n) = -104*n + 404*n - 102*n - 97*n - 100*n. What is t(h(j))?\nAnswer: -26*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (-1 + -2*sqrt(5) - sqrt(5))) + -6*sqrt(15)\/sqrt(3) + (-6*(0 + sqrt(320) - sqrt(320)))**2.\nAnswer: -2*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -1)*(0 + -1). Let s(i) = 0*i**2 + o*i**2 - 2*i**2. Let b(z) = 4*z**2. Give b(s(w)).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3)\/j**(3\/8))\/(j\/(j\/(j**7*j)))**(-3\/10) assuming j is positive.\nAnswer: j**(163\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 6*f**2 - 7. Let l(c) = 8*c**3 + 2*c**2 - 2*c - 3. Let o be l(-1). Is t(o) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1665397 hours in microseconds?\nAnswer: 599542920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -13109929 (b) 0.5 (c) 2 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 707697.\nAnswer: 3, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.263547 + 0.7364505. Let n = 45.3 + -55.3. Let m = n + u. What is m rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3239 is divided by 120.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 23456\nAnswer: 1\/5864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)*((((r*r**(2\/3))\/r)\/r)\/r)\/r)**(-5\/6) assuming r is positive.\nAnswer: r**(40\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a - 23. Let w be y(8). Suppose -2*o - 5*u + 0*u - w = 0, 5*o + 2*u = 29. Calculate the smallest common multiple of 1 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 3:42 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 3*t + 12. Let m be d(7). Let y = 40 - m. Suppose y = 5*j - j - 716. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.092 - -0.108. Which is the fourth biggest value? (a) -0.2 (b) p (c) -1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = c - 28, 2*i - 7*i - 25 = 0. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*j**3 + 65*j**3 + 3 - 10*j + 9 + j**2 - 37*j**3 to i*j**2 + t*j + a + y*j**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 84*w - 1. Let j(b) = -56*b + 1. Give -8*j(f) - 5*z(f).\nAnswer: 28*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/7 + 748*w**2\/7 + 5856*w\/7.\nAnswer: 2*w*(w + 8)*(w + 366)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 695.2021 minutes?\nAnswer: 41712.126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24846535 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2012.922 weeks?\nAnswer: 1217415225600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 2*q + 3 + 12, a + 5*q = 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 5*a - 25 = 0, -66*j - 18 = -63*j + 4*a for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3353 divide 373765236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1814599?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 71713114?\nAnswer: 71713112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -1. Suppose -5*d = 4*x + 20, -2*x - 10 = -2*d + 5*d. Solve -4*c - 4*z = d, 3*c + j*z + 3 = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -6208960538.\nAnswer: -6208960543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2744*a - 2768*a = 216 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 275.4274+-17.1388\nAnswer: 258.2886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-32)\/(-7)*1960\/(-1680).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -524, -1042, -1560, -2078, -2596, -3114?\n\"Answer: -518*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -362 + v + 54*v**2 - 178 - 45*v**2 - 3*v in the form c*v**2 + w*v + q and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**4\/12 - k**3\/3 - k**2\/2 - 6*k. Determine i(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1486 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684239 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 55\/(-15) + (2 - -2). What is the nearest to -3 in n, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -ab?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -163 - -85. Let w = 85 + r. Let m be 300\/45 - (-2)\/(-3). Solve w = z + m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33580528 or 33580529?\nAnswer: 33580528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 708 = 2*s + 2*l - 18, 5*s = 2*l + 1836. Let d be 2293\/3 - 2\/(-3). Suppose -2*b + s = 4*m - 642, d = 3*m - 3*b. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**2 + 2*r - 1. Let c be n(2). Suppose j - c + 5 = 0. What is the second derivative of 15*t**3 - 29*t**3 + 6*t + j*t**3 - 3*t**4 wrt t?\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.5127 rounded to one dp?\nAnswer: -18.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7*a + 45. What is j(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 673755, 673888, 674019, 674148, 674275, 674400, 674523?\nAnswer: 674644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -47200000 to the nearest 1000000.\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191032 is divided by 382?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 259458, 518909, 778338, 1037739, 1297106, 1556433, 1815714?\nAnswer: 2074943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(684) - sqrt(684))**2 + 3 + 6*(sqrt(76)*-1*-3 - sqrt(76) - sqrt(76))\/sqrt(4).\nAnswer: 6*sqrt(19) + 687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/20)\/((-51645)\/(-50)). Which is bigger: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -134\/3 - -45. Suppose -4*k - 3*s = -5 - 10, 3*s = k. What is the smallest value in -0.1, k, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 8*q**2 - 4*q - 7. What is h(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*x + 9 - 9 + (-2*x + 3*x + 0*x)*(2 + 1 - 2) + (-4*x + 4*x - 2*x)*(2 + 0 + 0) + 3*x - 2*x + 0*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -2, 1\/23?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.037 (b) 0.3 (c) 3 (d) -3 (e) -0.051\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h = 118*h + 1514 + 26 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17033\/8 - 16789\/8. Let -18*q**3 + 0 + 19\/2*q**4 - 3*q - u*q**2 = 0. Calculate q.\nAnswer: -1, -2\/19, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n + 10*n - 19*n**2 + 8*n.\nAnswer: -19*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 299 = -17*m. Suppose -20*o - 12 = -m*o. Suppose o*f - 392 = -0*f. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 12*s + 36.\nAnswer: (s - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3036379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-12))**(-7)\/((k**(-2\/25)*k)\/(k**(-3\/11)*k)))**3 assuming k is positive.\nAnswer: k**(63366\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7717, -3 in increasing order.\nAnswer: -7717, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2397493 is divided by 152?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.236 + -0.036. Which is the closest to -1.8? (a) u (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 9, m: 2, z: 5}. What is prob of sequence umm?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + m = -69, 3*n = n - 4*m + 30. Suppose 25 = 4*f + 73. Let x = f + n. Let y(t) = t**3 - 6*t**2 + 8*t - 7. What is y(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 equal to 9250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1509.5 rounded to the nearest ten?\nAnswer: -1510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5372 and 5.\nAnswer: 26860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14982.\nAnswer: 2, 3, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*z**2 + 129*z**2 - 283*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**3\/6 + 5*h**2 + 23*h\/6 - 29 = 0.\nAnswer: -29, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 41688, 166763, 375222, 667065, 1042292?\n\"Answer: 41692*a**2 - a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 + 13*z + 2840. Calculate m(41).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.34 - -0.14. Let o = c - -6.2. Let n = -4 + o. Which is smaller: n or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1857776*x**4 + 3*x - 1133792 wrt x.\nAnswer: -22293312*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.82 - 1.79. Let x = -0.03 + w. What is the closest to x in -3\/4, 1, 5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*n = 12. Suppose -n*p - p + 125 = 0. Let c = -366 + 370. Calculate the remainder when p is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -1313*a**2. Let w(j) = 13437814 - 13437814 - 2*j**2. Give q(w(z)).\nAnswer: -5252*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6*a**2. Let x(r) = 21884*r**2. What is u(x(p))?\nAnswer: 2873456736*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*n - 2*n + 2*n)*((n - 2*n + 5*n)*(3 - n - 3) + n - n + 2*n**2) in the form y*n**3 + f*n + a + p*n**2 and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -2 - (-4 + 3) - 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*y**3 - 2078*y**2 + 2078*y**2.\nAnswer: -54*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -219 in -0.4, 3\/2, -1, -2\/17, 22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(26\/6 - -2). Suppose 0 = -5*o + 4*o + c. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(245))*-3)**2 + 4 + ((4*sqrt(245)*-2)**2 - ((1 + sqrt(245) + sqrt(245))*1)**2) + 5)*-5.\nAnswer: -84970 + 2030*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -21*p**4\/2 + 183*p**3\/2 - 57*p**2 - 24*p = 0.\nAnswer: -2\/7, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 + -13 - (-7 + -1). Let q be g + 1 - (-2)\/1. What is the highest common factor of 30 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 946*t - 84 = 958*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14537, -14548, -14561, -14576, -14593, -14612, -14633?\nAnswer: -14656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 28 = -y, -4*y = 4*w - 26 - 38. Suppose -2*c = -3*l + 79, -5*l - c = -2*c - 134. Calculate the highest common divisor of l and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1892*y**3 + 60*y + 953*y**3 + 29 - 60*y.\nAnswer: -939*y**3 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1764) + (-1*sqrt(1764) + sqrt(1764))*4 + 1*(sqrt(1764) + 2*sqrt(1764)))\/(sqrt(192)*-4 + (sqrt(1200) + (sqrt(1200)*4 - sqrt(1200)) - sqrt(1200))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/2590 and 91\/25160.\nAnswer: 176120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1074*n - 13948. Give k(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*x - 23 - 19 + 35*x.\nAnswer: 2*x - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2719\/5 or 0.26?\nAnswer: 2719\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 5*a**4\/3 + 171*a**3 + 268*a**2 - 404*a\/3 = 0?\nAnswer: -101, -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 13*t + 61. Calculate d(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from wyhyrck?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-1 - -4))\/((-6)\/9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (69\/276)\/(2\/16). Solve -o - 2*y + v = 0, o - 5 = -y + 2*y for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.993 - -0.007. What is the fourth biggest value in 1, -0.4, i, 2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/((-1700)\/(-40))*45\/8.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 9 = 5*c, -3*r + 72 = c - 35. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, b: 1, l: 6, x: 4, z: 4}. What is prob of sequence zx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 30*g - 10*g - 19*g. Let l(o) = -5*o**2 - 6*o + 20. Let j(f) = -6*c(f) - l(f). Factor j(a).\nAnswer: 5*(a - 2)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2669 + 10159. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2967 and 13065.\nAnswer: 12921285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from sogossgggsggsg.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3954312500 a multiple of 10002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2. Let o(h) be the third derivative of h**5\/10 - 14*h**2. Suppose 0 = 5*l - 17 + 2. Suppose l*n - 2 = -5. What is n*o(b) + 9*z(b)?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6*j. Let n be m(2). Let g(b) = b + 4. Let v be g(8). Suppose -5*a = 10, -1 = 5*h + 2*a - v. Calculate the highest common factor of n and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2\/(-13) + (-57519504)\/(-2808)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 0 + 41\/8*u**4 + 293*u**2 - 8*u**3 + 0*u. What is the derivative of l(o) wrt o?\nAnswer: 123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(91)*2 + sqrt(91)))\/sqrt(7))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -109476111 divided by 688529\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g*k**2 + 7*g*k + g + 33*k**2 + 2*k wrt k?\nAnswer: -2*g + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 571 minutes after 3:52 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*j + 46 = 0, -3*j = -j - 6. Let y be ((-11)\/w)\/(4\/10). Let h = 116.4 - 116. Which is the closest to y? (a) h (b) -1\/4 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3 + (sqrt(13) - sqrt(78)\/sqrt(6)))**2 + (sqrt(650)*1)\/sqrt(2).\nAnswer: 13 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/((-11)\/6) + -1. Suppose -118 = -v*n + 92. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from vlmfvyvfmvnfnvnvvvyn.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 55499988299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.6 take away -4090?\nAnswer: 4010.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-834)\/(-835) + 5 + -6). Let h = r - -841. Calculate the greatest common factor of 27 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 142 (base 7) to base 16\nAnswer: 4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -9. Let p = -85 + 82. What is the closest to g in 0, p, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*h - 47*h - 184. Solve h*n + 29 = -17 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(3 - 4\/2*1). Let d be (-1)\/5 + 74\/270. Is d less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = n + 107, 11 = 3*j - 2*j + 5*n. Suppose -1244 = -o - j. List the prime factors of o.\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -13\/41 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -17\/18346373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27511093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q - 29. Let h be x(11). Suppose 1 - 11 = -5*d. Suppose -3*n = d*j - 0*n - 13, -5*j - 4*n + 22 = 0. Is h greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t**2 + 11*t - 18. Let i(v) = v**2. Let w(p) = 2*i(p) - r(p). Calculate the smallest common multiple of 16 and w(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010001 (base 2) in base 15?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w**3 + 2*w**2 + w. Suppose 1 = -t - 0. Determine v(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/7 (b) 0.005 (c) 23 (d) 0.5 (e) -0.1 (f) -631\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*l + 85. Calculate the remainder when 81 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*c + 215*c + 6528 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9241393 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37630 is divided by 2126?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -1125*n + 561*n - 2*n**2 + 564*n. Let f(y) = -1184*y. Calculate f(i(z)).\nAnswer: 2368*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -23787542840\nAnswer: -23787542831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zyzu when four letters picked without replacement from {u: 1, y: 1, z: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-28)\/(-6))\/((-4)\/(-18)) + -3 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - x**2)*(-10*x - 3*x - 24*x) + (2*x + 0 + 0)*(-2 + 2 - 2*x**2) + 3 - 3 - x**3.\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c + 78 = 19*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-187)\/(-34)*10\/5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/6? (a) -2\/13 (b) 1\/87 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*z = -29, 4 = 2*z + 2*z. Is ((-26)\/4)\/((-4)\/t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 8 = 20. What is the greatest common factor of o and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1377028, -2754053, -4131078, -5508103?\nAnswer: -6885128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + o + 1, -15*o + 12*o = j - 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from pdppppd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -19.65 (b) -1\/7 (c) 12\/457\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (152\/3325*-7)\/(2 + (-24)\/15).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005423 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 7*w - 7. Let n be y(6). What is the units digit of (n - 36\/(-4)) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538721467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/(-14))\/(-6*(-1)\/2). Suppose k = 4*b - 496. Is 39 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/8, -1\/2, 7, 0.1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v**2 - 45 + 27 + 18.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2. Let l(t) = 3*t**2 + 39097283. Give l(b(g)).\nAnswer: 12*g**4 + 39097283","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 2 u, and 1 h when four letters picked without replacement from hthuhhuut?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 3. Suppose -3*y + 5*h - 14 = -101, 0 = -3*y + x*h + 84. Let u = 61 - y. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -773, -835, -943, -1103, -1321, -1603, -1955?\n\"Answer: -c**3 - 17*c**2 - 4*c - 751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-144)\/120)\/(6\/(-20)). Let f be ((-21)\/9)\/(1\/(-3)). Suppose 2*m - 1 = 3*x, 4*x - 1 = 5*m - f. Solve z - g = -p, -p = -z + m*p + 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5520316 - -12?\nAnswer: -5520304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 3*t**2\/2 + 54*t + 78. Calculate the smallest common multiple of h(22) and 15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26316*k**6 + 9*k**2 + 95*k?\nAnswer: 3157920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*k + 5*k**5 - 7*k**5 + 4*k wrt k?\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/27 and -4 + 1 + 11*(-2 + 1).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -3 in decreasing order.\nAnswer: 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/3)\/l*l*l)\/(l\/(l**(-3\/5)\/l)))\/(l**6*((l*l*l*l\/(l\/(l\/(l**(-3)*l))*l))\/l*l)\/l) assuming l is positive.\nAnswer: l**(-169\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 274 + -231. Suppose 21*t - z = -1. Solve 3*h = -4*v + 7, -t*h + 13 - 1 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 11:18 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 11*q**2 + 3*q + 35. Let m be c(-11). Suppose s = -s - m, 4*i - 574 = 2*s. Calculate the greatest common factor of 13 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -308*y - 9846. What is b(-32)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 12450*q - 36 = 12451*q, -19*q + 23 = 2*n - 1 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -15 - (4 - (-1 - 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = 101*q - 122*q. Let l = 1558 - 7836\/5. Is l < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(720))\/sqrt(9) + (2*sqrt(180))**2 + sqrt(495)\/sqrt(11).\nAnswer: -5*sqrt(5) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 28140*s + 2144. Let x(h) = 263*h + 20. Calculate -536*x(v) + 5*y(v).\nAnswer: -268*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m + 4*m + 2*m + (54 - 67 - 107)*(0*m - m + 2*m) to the form y + u*m and give u.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -44 + 2*u + 5*u + 17 + 10*u. Calculate the smallest common multiple of 123 and d(3).\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 18*l - 493. Let x be w(33). Solve 0 = -x*k - 6, 10*g - 11*g = -k for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27.4352 and 0.4?\nAnswer: 10.97408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.05871ug to grams.\nAnswer: 0.00001005871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 1) + 1793\/(-815). Put k, -0.3, 0.87, 2 in descending order.\nAnswer: 2, 0.87, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**5 - 576*r**4 - 11040*r**3 - 62622*r**2 - 80115*r + 154350 = 0. Calculate r.\nAnswer: -7, -5, 1, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.92 + 0.18. Let y = -2.9 - h. Which is the nearest to 0.1? (a) 1 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 679078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/29559 and -16\/3.\nAnswer: 29559","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s = 53*s - 589. What is the remainder when 283 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3955 - -4130. What is the lowest common multiple of q and 70?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -187, -179, -161, -127, -71, 13, 131, 289?\nAnswer: 493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 69 (base 10) to base 8\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 3*b - 2. Let l be k(2). Let f(a) = a**3 + 15*a**2 - 19*a - 38. What is the remainder when (l + -1)\/(4\/(-68)) is divided by f(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**3 - 6*m**4 + 8556 - 8551 + 7*m**4 to the form c*m**3 + s + o*m**2 + q*m**4 + z*m and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222134257?\nAnswer: 17, 13066721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2032\/15195 - 2\/5065. Let n(x) be the second derivative of 0*x**4 + x + 1\/5*x**2 - 1\/25*x**5 + f*x**3 + 0 - 1\/75*x**6. Factor n(z).\nAnswer: -2*(z - 1)*(z + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 6543\/243 + -10 + -84 + 67?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10, u: 2, s: 1, w: 2, h: 1, c: 2}. What is prob of sequence stu?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 1, 3, -40, -3 in ascending order.\nAnswer: -40, -5, -4, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 106 and 1166?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 8*y - 13. Let b(t) = 4*t - 7. Let p(q) = 7*b(q) - 4*u(q). Let w be p(3). Let d(k) = -23*k - 57. List the prime factors of d(w).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -481 - -785. Let u = q + -307.09. What is u rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 3:34 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 500548096 to the power of 1\/2, to the nearest integer?\nAnswer: 22373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5)*x*x**0)\/(x*x\/(x\/(x*x**(-1)*x*x)*x*x))**(-8\/9) assuming x is positive.\nAnswer: x**(67\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m - 40. Let s be z(-10). Let o = 3541 - 3546. Sort s, 16, o.\nAnswer: o, s, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + 12355864.2?\nAnswer: 12355817.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h - 14 + 24 - 10 - 2*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-1336962.04\nAnswer: 534784.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1351474 to the nearest integer?\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 8*r**2 - 6*r - 2. Let p be t(4). What is the first derivative of 29 - 15*l**4 + 102*l - p*l wrt l?\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 176 + (-4 + 4)\/2. Suppose 7*s - w = -29. Suppose -4*y + 20 = 0, -o - 2*y - 2*y = -41. Calculate the greatest common divisor of o and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -5. Let r = -130.705 + 131. Let v = 0.005 + r. Sort v, 0.4, m, -0.4.\nAnswer: m, -0.4, v, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 4:29 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**2 - m - 2. Let d(t) = -3*t**2 + t + 3. What is 6*b(f) + 7*d(f)?\nAnswer: 3*f**2 + f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, 1, -1438 in ascending order.\nAnswer: -1438, 0.9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 2*d + 26. Let k(q) = 11*q**2 - 15*q. Let g be k(2). Which is greater: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from {x: 1, k: 1, y: 2, t: 1, f: 1, l: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 241816763 and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvbxbxxvx. Give prob of picking 2 x and 2 b.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 3, -27, -75, -147?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k. Give j(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -405, -1632, -3677, -6540, -10221, -14720?\n\"Answer: -409*v**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 8 = 4*r - 4*b, r - 28 = 5*b. Suppose 0 = -r*d + 2*v + 55, 0 = 3*d + 3*v - 0*v - 60. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202530659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001001001000010 (base 2) in base 16?\nAnswer: 9242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyypiyy. Give prob of sequence yiy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -43.4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 12*o**3 + o**2 + o. Let i be (-8)\/(-7)*2 + (-4)\/14. What is the hundreds digit of d(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118738024 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 14*j - 36. Let c be l(10). Solve c*i = 15 + 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2936, -11729, -26378, -46883?\nAnswer: -73244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**3 + z**2 + 3*z. Let q be x(2). Let l(b) = b**3 + 5*b**2 - 3*b - 7. Let h be l(-5). What is the remainder when 52 is divided by (10 - h)*q\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 + 53*d**2 + 138*d + 91. What is the remainder when t(-23) is divided by 36?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-3*24\/648?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526*m - 692 = 6672 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**3 - 14. Let h(b) = -2*b**3 + 15. Let x(o) = 3*h(o) + 4*y(o). What is the derivative of x(g) wrt g?\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2\/73, 5, -2.457?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 10, t: 4}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 25, 24, 23, 22, 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1818 + -5453\/3. What is the nearest to x in -1\/2, 3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(4\/3)\/v**(7\/4) assuming v is positive.\nAnswer: v**(-5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 245389*n + 2*n**2 - 245389*n - 2*n**3 - n**3 + 39 to the form z*n + j*n**2 + h + u*n**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-16)\/10)\/(52\/(-3770)) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59167 rounded to the nearest one hundred?\nAnswer: 59200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32615.27 millilitres to litres.\nAnswer: 32.61527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 16 = 34. Let y be (0 - (-2)\/o) + (-27)\/(-30). Find u, given that y + 3\/4*u**3 - 3\/4*u - 1\/4*u**4 - 1\/4*u**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 3*n**2 - 33*n + 8. Give p(6).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(52)\/sqrt(196).\nAnswer: -5 + sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 1\/(-1))*1. Suppose 0 = -0*d + g*d - 246. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2496 = -75*r + 73*r, 3*a = r + 1872. Calculate the remainder when a is divided by 59.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 160 - 72 - 88.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -255.6 or -88?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 13\/4 of a microsecond?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 410, 5, 3 in descending order.\nAnswer: 410, 5, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.37 (b) 2 (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/2 + 1)*448\/80. Solve 4*x + 22 = r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7177.7 < -3708?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (38\/10 - 5)*-5. Is 37 a factor of 3\/(n\/(-37))*(-56 - -10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 80226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (156\/(-91)*112\/32 - -3)*33.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33300 + 4007. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiids. What is prob of sequence iii?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 62665.4s?\nAnswer: 62665400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20611, -41249, -61925, -82639, -103391, -124181, -145009?\n\"Answer: -19*m**2 - 20581*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/7 - 193*u**2\/7 + 190*u\/7 + 384\/7.\nAnswer: (u - 192)*(u - 2)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 99*z - 136*z - 407. Let j be (73\/(-5))\/((-6)\/(-5)). Which is smaller: z or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w**5\/3 - 174470*w**4\/3 - 1185455*w**3\/3 - 1498930*w**2\/3 + 116200*w = 0. Calculate w.\nAnswer: -6972, -5, -2, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2752250 is divided by 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, a: 3, n: 1, g: 1, o: 2}. What is prob of sequence goh?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/35421045 and 45\/44.\nAnswer: 141684180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 591865141.\nAnswer: 7, 23, 3676181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6*v - 26 = 0, -3*f - 1 = 2*v + 25. Let h(m) = 5*m + 40. Calculate h(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 18 = 24. Let a be 7 + (w - (0 - -5)). Find the second derivative of 13*z**2 + 47*z + a*z**2 - 53*z - 4*z**2 wrt z.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22611 or 22614?\nAnswer: 22614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 31*s**2 + 38*s + 1297. Determine v(28).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -20 + 36. What is the highest common factor of h and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 17*t**3\/6 + 21*t**2 - 19*t. What is the first derivative of h(f) wrt f?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -34.7 (b) 2\/7 (c) 93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h*p*s**3 - 529382*h*p*s**2 - 8*h*s**3 - 2*h*s**2 + s**3 - 814 wrt p.\nAnswer: h*s**3 - 529382*h*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6409730759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*p + 23, p - 2*p = -1. Suppose 0 = -0*h - 2*h - 4*o + f, h - 5*o - 2 = 0. Calculate the smallest common multiple of 100 and h.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -20, -0.5, 6\/13, -2\/5?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 26836.\nAnswer: -1\/13418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 46368 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -7*y**3\/3 - 6*y - 2. Differentiate w(t) with respect to t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342297469?\nAnswer: 29, 11803361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (18\/10 + 0)\/((-3)\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 85.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -22, 17, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/14 - (-5)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8)\/12 - 14\/(-48) and -56\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -956293*t**4 - 191180*t?\nAnswer: -11475516*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8523782757 to the power of 1\/2, to the nearest integer?\nAnswer: 92324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 less than -35.78?\nAnswer: -144.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1413, -1151, -495, 753, 2791, 5817, 10029, 15625?\nAnswer: 22803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.38 + 21.38. Let w = 34 - x. Let z = w + -14. What is the closest to -0.1 in -2\/3, 0.4, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 + 15211*n**3 - 57866442*n**2 + 173492864*n - 115641632.\nAnswer: -(n - 7604)**2*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + x - 8, 0*j = -2*j - 4*x + 8. Solve -3*y - d - 14 = 0, 0*y = j*y + 2*d + 18 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 36*l - 220. Let y be h(-8). Suppose -k - 3*q - 23136 = -6*k, -k = 3*q - 4638. Suppose 7*w - k = y*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 + 2.5. Let z = c + -2.3. Put -5, z, 1\/4 in increasing order.\nAnswer: -5, z, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - k + 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07466 and 19.8.\nAnswer: 1.478268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1002096*j**3 - 1174*j**2 - 597*j + 2?\nAnswer: -6012576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.47 - 1.5. Let p = -16.62 + 16.22. What is the second smallest value in p, c, -1, -1\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 5*o = 2*a - 161, -3*o = -2*a - 53. Let x = a - -36. Solve z - 4*k = -x*z - 1, -3*z - 5*k = -8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -5*j**8\/48 - 5*j**4\/8 - 21*j**2. What is the second derivative of i(q) wrt q?\nAnswer: -700*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i - 32. Is 2 a factor of p(38)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 13*l - 5. Let g(p) = -p**2 + 7*p + 3. Let n(q) = -5*g(q) - 3*m(q). Find the second derivative of n(a) wrt a.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*q + 339, -r - 330 = -4*q + r. Calculate the highest common divisor of 27 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 78*o + 3. Is y(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-126)\/(-15) + ((-16)\/(-40))\/(-1). Sort -3, o, 4.\nAnswer: -3, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -16, -i - 1 = -u + 7 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21900 and 45807?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 1. Let y be p(2). Let j = -6 + 4. Let c be j*2*1\/(-2). Solve 2*g - 10 = 2*o + 6, -y*o = c*g + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 8*y + 7 - 14*y.\nAnswer: -22*y + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-57)\/(-38))\/((-2)\/(-4)). Let d be 2\/(-7) - (-10)\/35. Suppose -3*h + y*i = 2*h - 47, 4*h + i - 41 = d. What is the lowest common multiple of 20 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 686 + -2092\/3. Let i = f - -23\/2. Let h(b) = b**2 + 6*b. Let r be h(-6). Which is bigger: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lccccllcccll. What is prob of sequence lllc?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16\/52*1*(-1794)\/276\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 5 + 0*y + 7)*(-7*y**2 + 113*y - 113*y).\nAnswer: -14*y**3 - 14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -83958, 6.4, -1\/7, 0.8?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - -0.1. Let t = -14.17 + 0.17. Let s = t - -12. Which is the closest to u? (a) 0.5 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -1\/120095?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 974448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2930\/3 - 976. What is the third smallest value in w, -4\/47, -4\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 33 = 17*b + 2*m, 3*m = -4*b - 21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 14, j: 1}. What is prob of sequence jd?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*d - 11*d - 16*d.\nAnswer: -54*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 625, 627, 629, 631, 633, 635?\n\"Answer: 2*a + 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 3. Let w be u(-3). Suppose p - 34 = -x, w*x + 4*p = -5*x + 174. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1410 - 666. Does 31 divide (f\/10)\/3*(-65)\/(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x - x)*((0 - x**2 + 0)*(-43 - 4 + 23) + x**2 + x**2 - 3*x**2 + 188*x**2 - 297*x**2 + 1 - 184*x**2).\nAnswer: 270*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 4*a - 236, 0 = a - 5*f - 17 - 12. Suppose 0 = 2*x - 0*x - a. Suppose 0 = -3*v + 9 + x. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 13125344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 155\/3*g**3 - g - g**5 + 0*g**2 - g**4 - 92. What is the third derivative of l(w) wrt w?\nAnswer: -120*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19211838 by 5.\nAnswer: -19211838\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-57)*(-12)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -510, -218, 1186, 4452, 10330, 19570, 32922, 51136?\n\"Answer: 125*b**3 - 194*b**2 - b - 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*c - 6788 + 153116 = 0. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16 + 22?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 7*d = 24. Let y = -3 + 15. What is the greatest common factor of y and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120945 and 18315?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -144105113 (base 6) in base 13?\nAnswer: -80b22a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (6 + -5)) + 8 + 1. Solve 4*o = -3*f + 7, 3*f - 5*o + 15 = r*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 8*j + 3. Determine x(-5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1700)\/(-136) + (1 - (-3)\/(-2)). Suppose -c*u = 39 - 231. Let y = 49 + -21. What is the remainder when y is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*k**2*s**2*v + 20*k**2*v**5 - 5*k**2 - k*s**2*v**5 - k*s**2*v wrt v.\nAnswer: 400*k**2*v**3 - 20*k*s**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.36 - 0.36. What is the biggest value in 2\/5, 6, o, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1738556?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3331 + -1 + (20\/(-5) - -3). Suppose 4*c - n + w = 0, -5*c - 1618 = -2*n + 2547. What is c rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*v + 5*b, 4*v - 4*b - 3 = 33. Let x be 0*2\/((-4)\/(-2)). Suppose x = -5*g + 62 + 38. What is the remainder when g is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16428, -32873, -49318?\n\"Answer: -16445*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3344 + -0.0344. Is n < -287.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 + -59. What is the tens digit of (1 - -60) + s\/17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h - 16 + 73*h**2 - 6*h + 8*h - 115*h**2 to the form g + f*h**2 + m*h and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 3:46 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (-6 - (26 - 13)) - (-20 + 7)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -10*v - 1. Calculate y(-6).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.03185 nanograms to grams.\nAnswer: 0.00000000603185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (2 - (7 - 4) - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5\/4 - 277*l**4\/2 - 48653*l**3\/4 - 335125*l**2 - 3041100*l - 2718000 = 0. What is l?\nAnswer: -453, -60, -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j. Let n(b) = -132*b + 134*b + 267*b + 98*b. Calculate n(c(y)).\nAnswer: -1468*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*r - 3 - 9, r = -b + 4. Suppose -b*q + 1 + 7 = 0. Suppose 2*m - 30 - q = 0. Solve 40 = 5*z + 5*k, 2*z - z - m = -3*k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**2\/2 - 1. Let h(q) be the third derivative of 19*q**5\/60 + 6*q**2 + 9*q. Determine j(h(i)).\nAnswer: -19*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2 = c, -4*b = 5*c - 6*b - 10. Suppose c*h - 603 = -167. What are the prime factors of h?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 262 - 257. Is 39\/7 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 2*a**2 - a + 2. Let c be u(-2). Let r(w) = w**3 - 8*w**2 - 18*w - 19. Let f be r(10). Put c, f, 2 in descending order.\nAnswer: c, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + (sqrt(1100) + -3*(sqrt(1100) + -2 + sqrt(1100)) + sqrt(1100) - -3*sqrt(1100)*2))*-1 + -2)**2.\nAnswer: 7360*sqrt(11) + 72516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-455)\/(-325))\/(8260\/200)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -4 + -1 + -4 + 2 + 14 - 11\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -2 + -456.8\nAnswer: -458.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/4 - 3\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/3734 > 1895\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 47*b**2 - 148*b - 25. Let z(r) = -23*r**2 + 75*r + 10. What is -2*y(f) - 5*z(f)?\nAnswer: 21*f**2 - 79*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30\/(5\/((-75)\/(-10)))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a milligram in micrograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*v + 111*v + 77 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-11) + 1548\/(-792). Which is greater: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**3\/3 - 4*j + 40. Let d = 5 - 4. Let i(q) = 2*q + d - 1. What is i(w(z))?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -317 - -630. Let x = s + -307. Calculate the greatest common factor of 81 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (58\/29)\/((-11)\/(-44)*-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v - 3*v)*(-4 + 2 + 3)*(-v + 2*v - 3*v + 17).\nAnswer: 4*v**2 - 34*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32212666 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 divided by -2.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -280274?\nAnswer: -280272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*u = -2656, -2318 + 553 = -2*c + 3*u. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28598 + 50620. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2067*x - 2427 - 4131 + 1909 = 3619 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -480 + 248. Let i be ((-4590)\/(-25) + 6\/15)*(-10 - -8). Let h = b - i. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*v - 12 = 12, 3*a - 5*v - 46 = 0. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67.6 - -68.6. Let b = 15 - 9. What is the nearest to y in 4\/3, b, 2\/5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -3 - 0 - -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**8*z**(3\/4) assuming z is positive.\nAnswer: z**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -121 + 189. Let c = h - -33. Let p = c - 98. Which is smaller: 10 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31324 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 61?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 586 = 223*j - 222*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13671 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (4*(sqrt(21)\/(sqrt(6)\/sqrt(2)) - (sqrt(7)*2 + 2)) + 4)**2.\nAnswer: 32*sqrt(7) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-12) + 2\/6 + 10. Solve -a*c + 14 = 4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 + 154311?\nAnswer: 154320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 61*r**2 - 10*r - 143. Calculate the remainder when w(-61) is divided by 86.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v**4 + 26330*v**3 - 237660*v**2 - 1503050*v + 1714375 = 0. Calculate v.\nAnswer: -5275, -5, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57.1 - -59.1. What is the nearest to 2 in g, -3\/7, 6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 - 3*p - 4. Let j be h(3). Suppose 5*y - j*c = 40, 3*y - 3*c = -4*c + 12. Suppose y*n - 15 = 5. Solve 2*z = v + 15, 3*z + 5 = n*z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/73, -312, -89.5?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331300102 (base 4) to base 13.\nAnswer: 8b195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 90 = d. Suppose -2*m - 2*o = -d, 5*o - 5 + 20 = m. Calculate the highest common factor of m and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 4*w - 8, -16 = 2*l - w + 2*w + w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*u - 96*u = -4020. What is the remainder when 696 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 353141, 706296, 1059451, 1412606, 1765761?\n\"Answer: 353155*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 2\/13, -1.5 in decreasing order.\nAnswer: 5, 2\/13, -1.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 15*y**3 + 2*y**2 - 5*y. Let r be 25*(-27)\/54*2\/5. Let w(l) = -8*l**3 - l**2 + 2*l. Give r*w(v) - 2*s(v).\nAnswer: 10*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/((171\/570)\/((-6)\/2)*10\/(-4)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27390780 is divided by 498014.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**5 + 1175*t**4 + 4765*t**3 + 3585*t**2 = 0. What is t?\nAnswer: -3, -1, 0, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 w when four letters picked without replacement from yyyywwyyyyyyyywyyy.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45182990?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 18*d**2 + 3389*d + 57918. What is h(-17)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16485 - 939613\/57. What is the common denominator of i and -50\/11?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6620, -13242, -19874, -26522, -33192, -39890?\n\"Answer: -q**3 + q**2 - 6618*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1138 + 450. Let x = -688.363 - w. Round x to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6325, 0, 1 in ascending order.\nAnswer: -6325, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6280938 and 2076?\nAnswer: 12561876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57.62 + -58. Let f = -0.3800214 - z. What is f rounded to six dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 11:40 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}