diff --git "a/data/dm_maths/full_data_1/11055_11255.jsonl" "b/data/dm_maths/full_data_1/11055_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11055_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the ten thousands digit of 1082418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*a - 29*a - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0.15 (b) 1\/6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-3 + 2 + -6 - -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-9))*s*s**5)\/(s*s**(-2\/7))**35 assuming s is positive.\nAnswer: s**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (9379\/(-113))\/27639*-6*1?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.13, -1.45, -20.8?\nAnswer: -1.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a day in seconds?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40065272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10519, -10504, -10489?\n\"Answer: 15*v - 10534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y + 225 = 53*y. Suppose -15 = -3*o - 4*k, 0 = -3*o + y*k + 61 - 46. Solve -2*d + 22 - 3 = -o*m, 12 = -2*m + 3*d for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-10 + 14) - (12 + -3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 q when four letters picked without replacement from tqqutkuqqw?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 - d**2 + d + 3. Let j = 40 + -37. Suppose 10*t - j = 47. Let g(p) = -3*p**3 - 4 - 151*p**2 - 5 + 152*p**2 - 2*p + 4. Give t*r(v) + 3*g(v).\nAnswer: v**3 - 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/(-5) + (-2)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 2*f - 29. Let t be g(-7). Let v(u) = 2*u**3 + 9*u**2 + 13*u + 11. Let x(c) = c**3 + 4*c**2 + 6*c + 5. Calculate t*v(q) - 13*x(q).\nAnswer: -q**3 + 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 182, 1, -7\/4, -1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/19))\/a*a*a**(-2\/3)*a)\/(a**8*a*a**(-14)*a) assuming a is positive.\nAnswer: a**(301\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3113489875 to the power of 1\/3, to the nearest integer?\nAnswer: 1460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-16)*(-4)\/6*57.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10693836*z**2 + 40*z**3 - 10693836*z**2 + 59*z**3.\nAnswer: 99*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**2*o*o)\/o*o\/(o\/(o*o**(-5)*o)))\/(o**(2\/3)*o*o*o\/o**0*o) assuming o is positive.\nAnswer: o**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 272?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8646, -8631, -8618, -8607, -8598, -8591?\nAnswer: -8586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5 - 230*n**4 + 884*n**3 + 468*n**2 - 2646*n - 1998 = 0.\nAnswer: -1, 3, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**6\/5 - 23*q**5\/10 + 46*q**4\/3 - 325*q. What is the third derivative of r(j) wrt j?\nAnswer: 144*j - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmmiiiqiq. What is prob of picking 1 g, 1 m, and 2 i?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((-2*sqrt(5) - sqrt(5)) + -4)**2 + -2 + 0 + sqrt(5) + -4 + (sqrt(605) + 0 - sqrt(5))).\nAnswer: 220 + 140*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -26*v**2 + 2*v + 5. Let d(s) = -25*s**2 + 3*s + 6. Let f be (-12 + 9)\/(3\/2). Let z(m) = f*d(m) + 3*w(m). Differentiate z(j) wrt j.\nAnswer: -56*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, 5, -3\/5, 0.03, 0.52 in decreasing order.\nAnswer: 5, 0.52, 0.03, -2\/19, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8352 and 610762272?\nAnswer: 2784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2536 = -2*k + 10*k. Suppose -2*c - k = -3*c. What are the prime factors of c?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -61*a**4 - 25*a**2 + 147*a + 20. Let n(l) = 31*l**4 + 15*l**2 - 73*l - 11. Let r(o) = -3*j(o) - 5*n(o). What is the second derivative of r(z) wrt z?\nAnswer: 336*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/2 (b) 1 (c) -1\/8 (d) 21 (e) 1\/2 (f) -6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n + 26. Let v(a) = 3*a - 27. Let u(z) = 6*v(z) + 5*x(z). Let l be u(-17). Suppose 2 = -3*g - 4*m, g - 2*m = 11 + 5. Solve l = -2*h - g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 649 = 5*u + 559. Let n = 13 - 42. Let s = n + 31. Solve -4*j + s = -u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k + 10185*k**3 - 10221*k**3 + 62*k**2 - 2*k wrt k?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 249393596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 256 + 7?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1431 = 67. Suppose 5*g + 98 = b, -n = -3*b - b + 3*g. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 4*h**2 - 8*h - 7. Let s be j(-5). Let r = -4 + s. Let v(u) = 3*u**2 - 5*u - 4. Let n be v(r). Solve 0 = 3*o - 12, -2*o - n = -4*a - 3*o for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3505 is divided by 392.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*v - 117647276 = -10*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 8*m**2 + 2. Let u(o) = -2*o**3 - 24*o**2 - 7. What is 7*q(k) + 2*u(k)?\nAnswer: 3*k**3 + 8*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.37 + -0.63. Sort 1\/2, i, 1\/6, -1\/6.\nAnswer: i, -1\/6, 1\/6, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4838524, 9677059, 14515594, 19354129, 24192664?\nAnswer: 29031199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + n - 125 = -5*k, -3*k + 5*n = -75. Solve -2*u - u + 11 = 2*h, -5*h - 5*u = -k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -p - 2067, 3*y - p - 3445 = -2*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.2452 + -3.0452. Which is the closest to -1.73? (a) -4 (b) z (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -340 divided by -10833\nAnswer: 340\/10833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100.84 - -103.84. Which is the nearest to -9? (a) 2 (b) 0.07 (c) 2\/5 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-85 - -71 - (9 + -169)) + (2 - 1) + -16.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 4*s + 9 - 1, 0 = 2*h - 5*s - 31. Let u be (4\/(-6))\/((-5)\/h). Let k = -0.29 - 0.11. Which is the second smallest value? (a) 3\/5 (b) u (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 109416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2468, -9954, -22442, -39932, -62424, -89918, -122414?\nAnswer: -159912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3 = 3*v, 8*v - 10*v = -5*r + 30. Suppose 2*t - o = -2*t + 1358, -2*o + 1352 = r*t. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.1 and -8?\nAnswer: 96.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 877.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**2 + 20*n - 19. Let k be r(-6). Solve -53 + k = -4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**2 - n + 3. Let r be p(-2). Let u be (48\/112)\/(r\/(-2)). Sort 12, u, -4.\nAnswer: -4, u, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -4*a**2 + 0*a - 13\/24*a**4 + 0 + 0*a**3. Does 13 divide o(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/5*b**3 + 564\/5 + 20*b - 93\/5*b**2 = 0. What is b?\nAnswer: -94, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**2 + 3*o**2 - 34*o + 31*o + 3. Let a be r(3). Suppose 4*n = -3*v + 78, -v - 23 = -n - 0*v. Calculate the greatest common divisor of a and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/7)\/o*o)\/o)**(-35)\/(o**(2\/3))**(-13\/3)*((o**(-3))**(2\/87))**(2\/89) assuming o is positive.\nAnswer: o**(647795\/23229)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z - 42 = 0. Suppose 0*r - 2*r = -z. What is the second derivative of 7 - b**5 - r + 2*b wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 2*sqrt(117))*-6.\nAnswer: -54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Suppose -b + h*b - 10 = 0. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 + -0.4. Let z = -104 - -112. Let p be ((-1)\/z)\/((4 + 2)\/(-36)). Which is the smallest value? (a) 3 (b) -3\/7 (c) p (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*y**2 - 26*y**2 - 3 + 2*y**3 - 112*y**3 + 52*y**2 to the form u*y**2 + v + m*y**3 + i*y and give m.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/8*-2*33\/(-55).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50654869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*sqrt(252) + sqrt(252) - sqrt(252))*-3)\/sqrt(4))\/(5*5*sqrt(144)))**2*3.\nAnswer: 189\/10000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -573*g**3 - 233217*g**2 - 8037048*g - 84132 = 0.\nAnswer: -369, -38, -2\/191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 22*t**2 - 41*t + 22. Suppose p - 3 - 17 = 0. Let r be x(p). Suppose r*f - 314 = -22. Is 49 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(931) + sqrt(931)*-2) - (sqrt(931) + -1 - sqrt(931) - sqrt(931))*4)**2.\nAnswer: 448*sqrt(19) + 59600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 794*l - 3406*l - 52484 = 18040 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17530993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -14. Suppose -s + 2*w + 398 = 0, z = -4*s - 2*w + 4*w + 1586. Suppose 0 = 5*q - q - 4*y - s, 0 = -4*y - 16. Is q a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0177*-1\nAnswer: -0.0177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -300*a**2*f + 38*a*f - 2*f wrt a.\nAnswer: -600*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.5 - 8.5. Let x = -3 + 2. What is the smallest value in -3, x, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -1 + 1\/4*k**4 - 2\/3*k**3 + 0*k**2 + 0*k. What is the third derivative of b(w) wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.55644 rounded to 2 dps?\nAnswer: -32.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 19989 - 60.0764\nAnswer: 19928.9236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1528*c**3 - c**2 - c**2 - 26 - 3087*c**3 + 2*c - 5*c**4 + 1559*c**3 as w*c**2 + y*c**4 + z + p*c**3 + m*c and give z.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.467468 rounded to one dp?\nAnswer: 31.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.1 (b) 123823\/9 (c) 4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 4*c - 8*c. Let s = -5 + c. Let q(z) = 0*z**s - 2*z**2 + z**2. Let l(w) = -6*w**2. What is q(l(x))?\nAnswer: -36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 260272 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2) - (-44)\/11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17.81 - -0.51. What is n rounded to zero decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2808.931 + -2658.64. Let o = -0.291 + d. Let y = o - 149.07. What is y rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1363.28 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 723948820 to the power of 1\/2, to the nearest integer?\nAnswer: 26906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1070793?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-14))\/((-1105)\/(-595))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64196.7 rounded to the nearest 100?\nAnswer: 64200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16891?\nAnswer: 7, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(11) + 1)**2 + (sqrt(275) + -2)**2 - (-1*sqrt(44)\/sqrt(4))**2*-3*4.\nAnswer: -8*sqrt(11) + 483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -9*x**5 - 3*x**4 + 3*x**2 + 9*x + 5. Let w(z) = -13*z**5 - 5*z**4 + 5*z**2 + 13*z + 7. Let a(c) = -7*h(c) + 5*w(c). Factor a(n).\nAnswer: -2*n*(n - 1)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (5 + 7 - (-3 - -4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226019, 226228, 226585, 227096, 227767, 228604?\nAnswer: 229613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3423 - 1870. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.4 - 2.4. Let b = 191 + -118. Let t = 367\/5 - b. Sort t, p, -1.\nAnswer: -1, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 399383?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -f + 4*f + 7, 4*k = 2*f. Let b(u) = -u**3 - 5*u**2 - 2*u + 5. Let l be b(-2). What is the closest to 0 in l, 1\/4, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -10*r**3 - r**2 + 6*r - 1. What are the prime factors of z(-3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73*v - 41 + 37 + 70*v)*(9 - 4 + 1).\nAnswer: 858*v - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8281 and 676.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240\/(-80) - (-3)\/6*70\/20.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -10. Let u = 4.08 + -3.48. Suppose -4*h + 20 = 0, 3*h - 10 - 10 = -v. What is the smallest value in f, u, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 1. Suppose -4*q + 42 = 30. Let x(s) = -2*s**3 - 3*s**2 - 2*s - 2. Determine q*p(r) + x(r).\nAnswer: -2*r**3 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2\/5 - 104*x\/5 - 192 = 0. Calculate x.\nAnswer: -40, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/2 - 21034*a - 221214578.\nAnswer: -(a + 21034)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -23 + 27 + (36\/(-5))\/3. Factor x*h - 12\/5*h**2 - 2\/5 + 8\/5*h**3 - 2\/5*h**4.\nAnswer: -2*(h - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-25) - ((-917)\/35 + 1 - 2 - 0)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -714195154.\nAnswer: -714195154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -124287.3\nAnswer: 1242.873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -7) + (-2 - -18) + (-601 - -686).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2606 - -2628. Calculate the remainder when 102 is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (513\/(-4218))\/(18\/(-8)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 88622 (base 9) to base 12\nAnswer: 2a062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (348\/261)\/(5\/((-45)\/102)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -9*j - 2*j + 14 - 73*j**2 - 3*j - 12*j. Let x be q(6). Round x to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h. Let q = 4 - 8. Let r be w(q). Suppose 0*u + r*t + 115 = 3*u, -4*u = 5*t - 143. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y + 15248*y**3 - 15254*y**3 - 8 - 2*y + 54*y**2 - y + 6 as b*y**2 + j + f*y**3 + h*y and give b.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -8 - (3 + -8 - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21*f**4 - 135*f**4 - 96 + 30 wrt f.\nAnswer: -456*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/((-16390)\/1341)*(-5)\/(-13)?\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1118575920 divided by -21560\nAnswer: -51882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 10:13 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -138*o - 6283 - 6969 + 3868 for o.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 294595?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18 + 4*w**5 - 18 + (-2*w**3 - w**3 + 0*w**3)*(26*w - 26*w + 29*w**2).\nAnswer: -83*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1673 - 1074 - 2*z**2 - 9416280*z + 9420695*z wrt z.\nAnswer: -4*z + 4415","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 + 16*x**2 + 37*x - 1. Give v(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52686587 divided by -3099211?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (25 - 23)*(14\/4 - 1). Put -4, a, 3 in ascending order.\nAnswer: -4, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 342040876?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -737, -738, -739, -740, -741, -742?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108520425 and 15795.\nAnswer: 976683825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76)\/(-247) - (-48)\/(-104)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 q when three letters picked without replacement from uwqwruwwwqwqqqqqqrw.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 97423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -k - 9 - 3, -5*p - 2*k + 60 = 0. Suppose -2*x = 2*h - p, -11 - 13 = -3*x - 5*h. Suppose x = -4*f - 1. Do f and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, -13, -187, -543, -1141, -2041, -3303, -4987?\nAnswer: -7153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112220012 (base 3) to base 14.\nAnswer: 3d59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46894.\nAnswer: 2, 23447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*r + 9*r**2 - 24*r)*(r - r + r**2) - 2*r**4 - r + 0*r + 0*r**4.\nAnswer: 7*r**4 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 996606684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 414 or 412?\nAnswer: 412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 14 = 2*n. Let d = 15 + n. Solve -d*k + 2 = 17 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 4\/3 (b) -3 (c) 14\/33 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + 2*sqrt(1377) - (sqrt(1377) - (sqrt(1377) + sqrt(1377) + sqrt(1377) + -4 + -3))) + 0)*6)**2.\nAnswer: -23328*sqrt(17) + 796068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-34)\/4*(1 - 3). Let g be y\/15 + 2\/(-15). Is (1\/(-2))\/(g\/(-58)) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69 - 22 + 104)*(-2*r + 2*r - r**4).\nAnswer: -151*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.0969906 millimeters?\nAnswer: 0.00969906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 1493, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 5*s + 5*l - 223, -2*l + 35 = s. Is -1*(-1 - (3 + s)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -431, -433, -435, -437?\n\"Answer: -2*r - 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 27500 divided by 6875\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.643 - -0.243. Sort j, 0.2, -32, 14 in descending order.\nAnswer: 14, 0.2, j, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 492197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/982 and ((29610\/(-36))\/47)\/(-2).\nAnswer: 1964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/5 of a tonne?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/100*4 + 152\/(-10). Let g(k) = k**2 + 16*k + 17. Let i be g(z). Solve -i*j + 7 = -3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 7*m + 8. Let n = -22 + 28. Let f be z(n). Solve -10 + 0 = -f*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - -39 - (2 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7180 - 7059. Which is the smallest value? (a) 0.14 (b) u (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**4 + 16*b**3 + 204*b**2 + 840*b + 50. Let p(g) = g**2 + g + 1. Let o(q) = -c(q) - 24*p(q). Let o(f) = 0. Calculate f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (300 - (-2 - -3)) + 7. Let z be (-6)\/(-81)*3 - f\/(-81). Solve -6*u + 2*u - z = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*c - 8*c - 1, 0 = -2*c - y - 1. Solve 3*d + 3*h + 11 = -h, c = -3*h - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376891.\nAnswer: 376891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1149 - 3.8851. What is the smallest value in -3, -5, -1\/10, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169, -158, -143, -124, -101, -74?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -312 - -446. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.2 + -26.46. Let l = h + -3.73683. Round l to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 8 - 2*i**2 + 2*i + 3*i**2 + i**2 - 8*i. Let d(q) = q**2 - 3*q + 4. Let w(o) = -4*c(o) + 7*d(o). Calculate w(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -70 + 157880?\nAnswer: 157810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2486*m**2 - 30. Let y(q) = 1499058*q**2 - 18080. Determine -1808*g(d) + 3*y(d).\nAnswer: 2486*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + -21. Let k = 128 + t. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355*g + 4 = 353*g. What is the common denominator of 67\/182 and ((-88)\/12)\/(g + (-172)\/(-66))?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5\/6 and -2\/281 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-10)*11*35\/154. What is the greatest common factor of v and 192?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + -36. Let m = -886 - -866. Does 14 divide (j\/(-3))\/(m\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(-2 + 3 - 2)*(2 - 2 + 2*m) + (3 - 2 - 2)*(4*m + m - 3*m) + 2*m - 4*m + 3*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 11343648.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 304994*m**2*u**3 + 2*m**2*u**2 - 27524*m**2 + 5*m wrt u.\nAnswer: 1829964*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/12*3 - -1. Let h(s) = 2*s - 5. Let t be h(4). Suppose -3 = r - 2. Put r, x, t in decreasing order.\nAnswer: t, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**4*d)\/(d*d**2)*d**4\/(d\/(((d**(-5)*d)\/d)\/d)*d) assuming d is positive.\nAnswer: 1\/d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and -27?\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 11 = 5*u, 19*u - 5*g = 15*u - 8. Suppose 1 = -b + u. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, v: 3, m: 7}. Give prob of picking 3 m.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -q**2*u**2 + 8039387*q**2 - 13*q*u + 19*u**2 - 9*u wrt u?\nAnswer: -2*q**2*u - 13*q + 38*u - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 7*n**2 - 10*n + 5. Let u be w(4). Let h = u - -13. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -12363*t - 8651. Is q(-38) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-7 + 0 - -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-290))\/(18\/(-45)*1). Which is the biggest value? (a) 1 (b) 0 (c) -1 (d) j (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4102539.4 to the nearest 100000.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01983079 to 5 dps.\nAnswer: 0.01983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, g: 1, c: 1, h: 2, m: 6, w: 8}. What is prob of picking 1 h, 1 w, and 1 c?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -260 - -384. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**2\/9 - 117280*l\/3 + 1719324800 = 0.\nAnswer: 87960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 48423851?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*b**3 - 660*b**2 + 425*b - 70 = 0.\nAnswer: 1\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*c + 40*c - 479 = -33*c + 6311 for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 153*p + 148 = -3*g - 144*p, 16 = -5*p + 101 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from imihmiiyyyyttiyity. What is prob of sequence hity?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -1 + 0)*362\/(-362). Let q(k) be the second derivative of 0*k**2 - 1\/6*k**3 + s - 6*k. What is q(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 272 - 316. Suppose -3*j - 11 = w, -3*w + 8*w + j + 83 = 0. Let i = w - f. Calculate the greatest common factor of 189 and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -7848 - 3748 + 82*u**4 - 8393*u + 1228 - 6642*u**2 - 6152*u - 1871*u - 510*u**3 - 2*u**5 = 0?\nAnswer: -3, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 4\/3 - 15\/45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 408 + 92. Let l = -124 + a. Suppose 4 = v + v. Sort 9, l, v.\nAnswer: l, v, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ludulllqol. What is prob of picking 1 q, 1 o, and 2 u?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millisecond in microseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185092789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -351 + 351.167. Let i = n + -0.067. Sort i, -1\/5, -11 in increasing order.\nAnswer: -11, -1\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(12))\/(-2*sqrt(5)*-2) - -1*(5*(0 + sqrt(2)) + 2)**2.\nAnswer: 161*sqrt(2)\/8 + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/7)\/(n\/(n**(2\/15)*n)))\/((n*n*n*n*n\/n**3)\/(n*n*n*n**2*n)))\/(((n*n**(-1\/3)*n)\/n)\/(((n*(n**0\/n)\/n)\/n)\/n))**44 assuming n is positive.\nAnswer: n**(-5492\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1030, -1032, -1036, -1042, -1050?\n\"Answer: -j**2 + j - 1030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31279?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*456226.\nAnswer: -273735.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a = -18*a. Suppose -5*l + 67 - 2 = c, a = c. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**4\/7 + 34*c**3\/7 + 358*c**2\/7 + 1014*c\/7 + 900\/7 = 0.\nAnswer: -3, -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3365344 to the nearest integer?\nAnswer: 1834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v + 0*v + 0*v)*(-1199 + 434 - 761) in the form b + l*v and give l.\nAnswer: 6104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7*u**2 - 2*u + 2. What is the remainder when v(2) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**2 + 100*m + 11. What is the remainder when v(-25) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 1184.19806?\nAnswer: -1184.49806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*i + 15 - 4. Let o be 6\/2 - 51\/18. What is the fourth biggest value in o, i, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 19.8, -736?\nAnswer: 19.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 439.589*-9.6.\nAnswer: -4220.0544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2644 and 20260972?\nAnswer: 2644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4588\/15 - -306. Put 3, w, 2 in descending order.\nAnswer: 3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 9. Suppose -3*a + h*a = -6. Find the second derivative of -a*p + 2*p + 3*p + 3*p**2 - 4*p wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1383 - 57 = -2*h. Suppose 6*c = 10*c - h. Find the third derivative of 10*s**2 + 16*s**5 + c*s**4 - 180*s**4 wrt s.\nAnswer: 960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1473*q**2 + 4*q - 4*q - 522*q**2.\nAnswer: -1995*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8578, 8581, 8584, 8587?\nAnswer: 8590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.073 + -0.403. Which is greater: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11b56 (base 15) to base 9\nAnswer: 85520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162363 (base 9) to base 8.\nAnswer: 303515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 12628656?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.683669819696+0.24\nAnswer: -1.443669819696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 546 and 1778?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 5 + 15 + 308*a**2 - 2*a + 3 - 6.\nAnswer: 308*a**2 - 2*a + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-15))\/(2\/5). Let j be 2 - -33 - (4 - q). What is the greatest common factor of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - u + 4. Let q be i(3). Let d(l) = -2*l + 8. Let b be d(q). Suppose -b = -v - 9. What is the remainder when 58 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/4 - 7398\/(-216). Solve -o = 3*q - 7, -2*o - 5*q = -j + 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279*f - 4*f + 19810 = 0. Calculate the remainder when 365 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5709 = -2128*n + 7059 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*r + 161610 = 425135. List the prime factors of r.\nAnswer: 5, 83, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d - 1326 = -29*d - 6*d - 2*d for d.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17, -24, -33, -44?\n\"Answer: -r**2 - 4*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, -1\/3, -26, 1\/5 in descending order.\nAnswer: 1\/5, -0.02, -1\/3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -12*i**3 - 13*i + 13. Let y(n) = 0 - 1 - n + 2*n + n**3. Let a be 1*(4 + -5 - 5). Calculate a*p(w) - 78*y(w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4843 - 7804. Let f = -6025 - a. Is f\/(-10) + ((-24)\/10 - -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/2)\/(30\/(-200)). Suppose 0 = -5*l + 4*m + 9, -4*m + 25 = l + m. Solve -l = 3*q - 5*g, 3*q + 3*g - r = 17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61 + 63. Let z = 3257\/1355 + -1\/271. Is h equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a - 56 = -152 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k**3 + 2*k**2 - 9*k + 7. What is u(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -233\/12 + 511\/12. Calculate the common denominator of d and 29\/85.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 8 = 0, 2*p + 1407*f = 1458*f - 86 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 at least 1148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/((-425)\/51)*44\/(-36).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 14046740?\nAnswer: 14046740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z. Let k(b) = -895*b**2. Calculate g(k(l)).\nAnswer: 895*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**3\/8 - 2218347*y**2\/4 + 22183377*y\/8 + 13310037\/4 = 0. Calculate y.\nAnswer: -1, 6, 1478893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + -21449?\nAnswer: -21440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9943502 + 476.\nAnswer: 9943978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 3*k**2 + k + 5. Let c be (3\/(-2) - -1)*-2. Suppose 0 = 5*j - 8 + 23, -3*j = -4*p + 21. Suppose x = c + p. Calculate g(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 + 1.2. Let y = -1 + 0.9. Let k = j + y. Which is bigger: -2\/3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 393908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172246.\nAnswer: 2, 71, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h - 6*h + 2*h - 2. Let v be w(-3). Let b be 14*2\/4*v. Calculate the greatest common factor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, a: 1}. Give prob of sequence pa.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 - -9) + (-1 - 1). Suppose 2 = 2*p, 39*p + 23 = 5*o + 42*p. Sort 1, 6, o, y in descending order.\nAnswer: 6, o, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 2*t - 528. Suppose 20*y = 16*y + t. What is the highest common factor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 11*o - 3. Suppose 0 = -4*n - 5*v - 35, -v = 3*n + 1 + 28. What is w(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 13*b - 11. Let k(q) = 4*q - 5 + 11 - 11*q. Suppose 276 = -22*f + 34. What is f*k(a) - 6*y(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2281 + 2395 = -57*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0399 + -0.0401. Which is the smallest value? (a) 2\/3 (b) l (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.2, 1\/11, 4, -24 in increasing order.\nAnswer: -24, -2, -0.2, 1\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 0.421.\nAnswer: -0.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -3 + 3 + -6 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 394702657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -287635, -287662, -287707, -287770, -287851, -287950?\n\"Answer: -9*m**2 - 287626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88954, -88952, -88950, -88948?\nAnswer: -88946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*q**2 - 50*q + 50*q)*(0 - 3*q + 0) + (0*q + 0*q - 2*q**2)*(2 + q - 2) to r*q**3 + t*q**2 + z + c*q and give r.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 320, 638, 954, 1268, 1580?\nAnswer: 1890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2859, 6699, 11521, 17325, 24111, 31879?\nAnswer: 40629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 0.87, 51, -0.041, 0.5, -0.5?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.09? (a) -3 (b) -2\/9 (c) 898\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 2\/7 (c) -0.4 (d) -5 (e) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -3, 22, 0.\nAnswer: -3, -1, 0, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6)*60\/6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) 1 (c) 3 (d) 8 (e) -3 (f) 29\/272\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52, 107, 380, 779, 1316?\nAnswer: 2003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1005, 3, -1 in increasing order.\nAnswer: -1005, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 151 by 85271.\nAnswer: 151\/85271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {r: 8, y: 5}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -126 and -1?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(12)\/sqrt(2)))\/(sqrt(77)\/sqrt(396)) + 1.\nAnswer: 1 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -693, 2, -106, 5, -7 in increasing order.\nAnswer: -693, -106, -7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379515353?\nAnswer: 7, 54216479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.26 and 0.2.\nAnswer: -0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4598, -4613, -4636, -4667, -4706, -4753, -4808?\nAnswer: -4871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 7*x - 3. Let b be w(-8). Suppose b*h = 94 + 1. Calculate the remainder when ((-50)\/(-1))\/((-4)\/12*-2) is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23\/74 + 30\/37. Let m(w) be the second derivative of 2*w + 1\/3*w**3 + y*w**2 + 0. What is m(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -15) + (-3 - -4). Solve -4*i - 4*o - w - 8 = 0, 12 = -3*i - o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -197 - -197. Which is the third smallest value? (a) -5 (b) j (c) 1 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/7 and 6 + -1 - (-156)\/(-33)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -2.18 (b) 0.07 (c) -0.883 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 j, 1 h, and 1 g when four letters picked without replacement from {x: 1, m: 2, j: 1, h: 1, g: 1, s: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 156094 or 156175?\nAnswer: 156094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - ((-455)\/21)\/(-5))\/((-2)\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*w, 719355 = -11*t + 12*t + 4*w. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 318, 705, 1390, 2457?\nAnswer: 3990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 279 - 196. Let c = f - 746\/9. Let a be 7 - 2 - (5 - -1). Which is greater: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18260 (base 9) to base 6\nAnswer: 134213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 32 + 40 = 0. What is the thousands digit of 1*((-4352)\/(-4) + l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8356 = 2*l - 2*h, 3*h = 8*h + 10. Suppose 17*v + 7*v - l = 0. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(432)\/(sqrt(27)\/sqrt(3)))\/(sqrt(108)\/(sqrt(9)*-2)))\/(sqrt(40)\/sqrt(5) - -3*sqrt(12)\/sqrt(6)))**2.\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21457986.6 rounded to the nearest 100000?\nAnswer: -21500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -6*z + 194. Calculate the highest common divisor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by 130498\nAnswer: -28\/65249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -18*c. Let t(a) = -56*a + 1272. Give t(u(o)).\nAnswer: 1008*o + 1272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -2\/7 (c) -3 (d) -2 (e) 4 (f) 403\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3811204.\nAnswer: 2, 853, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/2422322?\nAnswer: 3\/2422322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23.880010504 - -23.88. What is x rounded to 7 decimal places?\nAnswer: -0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**3 + 39*i**2 - 19*i + 21. Let p be w(-20). Let f be (-78)\/(-8)*16\/6. Solve -f = -5*s - p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 0*b**4 + 0 + 2\/5*b**5 + 0*b + 16*b**2 + 17\/120*b**6 + 0*b**3. What is the third derivative of f(u) wrt u?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-495)\/(-55)*(-43)\/(-43).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.67 and -0.0329.\nAnswer: -2.7029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21346093?\nAnswer: 23, 241, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 597011057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j. Let s(n) = -33*n**2 + 2*n + 2. Let t(f) = -98*f**2 + 7*f + 7. Let u(m) = -14*s(m) + 4*t(m). What is b(u(q))?\nAnswer: -140*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of r**8\/56 + 11*r**5\/20 - r**4\/6 - r**2 + 48*r. What is the third derivative of h(w) wrt w?\nAnswer: 120*w**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175821 and 80229.\nAnswer: 1707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 67737*v + 67737*v + 191*v**2 + 275*v**2 - 3 - 135478*v as j*v + c*v**2 + q and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1112*m**3 - 4717853*m**2 - 132277719656 - 65708641142 - 4*m**4 - 8680*m**3 - 651643*m**2 - 1693181072*m - 2232300966.\nAnswer: -4*(m + 473)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*0.07303.\nAnswer: -0.65727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 16*d**2 - 84*d.\nAnswer: 4*d*(d - 3)*(d + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-28)\/28)\/(-2))\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebvqvbkk. What is prob of sequence eb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -2 + 6 - 1. Let v(g) = 9*g - 11. Let j be v(r). Suppose -8*k + 24 = -j. Solve -2*l = l + k*u - 17, 3*u - 23 = -5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -149, -150, -149, -146?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: a493 (base 16) to base 10\nAnswer: 42131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*d**3*i + 2*d**3 + 1830*d*i + 93612*i wrt d.\nAnswer: 27*d**2*i + 6*d**2 + 1830*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from pffpfff?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 greater than 2631982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**2 + 47*c**2 + c**3 + 78267 - 54*c - 78327. What is x(-53)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 4*w - 2 + 18, 2*q + 3*w = -8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12526 - 14678 + 2359 - 4124)*(-3*a + 4*a - 2*a) - a + 2*a - 2*a + a - 5*a + 2*a.\nAnswer: 28966*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28485 is divided by 2371?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 at least 1640\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**2\/2 + 3*t - 4. Let x(a) be the first derivative of n(a). Let j(s) = s**2 + s + 1. Let q(d) = j(d) - x(d). Factor q(y).\nAnswer: y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j + 5. Let x be d(0). Suppose -x*y + 2*y = 0. Let z(l) = 4 - 12 - l + 0*l. Determine z(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 + 12 + 0 - (1 + -8976) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.538 - -0.038. Let y = 19 + o. Let s = -0.9 + 0.5. Which is the third smallest value? (a) y (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78152*s + 78157*s - 26*y + 100 = 0, -2*s = 2*y - 22 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 12*o - 17. Let j be t(-10). Let m be 1438\/30*j*5. Let q = m - 338. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -14*x**2 - 15*x**2 - 13 - 6*x + 25*x**2 - 2*x**3. What is the tens digit of h(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -918 + 1214. Solve 3*f - 281 = -t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76 and 6.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m - 14*m - 12*m**3 + 7*m**3 + 7*m.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2962, -11532, -25790, -45736, -71370, -102692?\nAnswer: -139702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**4\/12 + 7*d**3\/6 - d**2 - 2*d. Let i be 0 - (-3)\/(9\/15). Let u be t(i). What is the greatest common divisor of u and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -498*s**2 + 4*s - 4*s - 5084*s**2.\nAnswer: -5582*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -15*c - 11 - 16*c + 53*c - 13*c. Let g(h) = 5*h - 6. Let m = 3 + 1. Let f be (22\/m + -2)*-2. Give f*g(j) + 4*i(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - o**2 + (-2 + 1 - 1)*(2*o**2 - o**2 - 2*o**2) + 3*o + o**2 - 3*o - 766*o**2 - 155*o**2 + 2184*o**2 + 2005*o**2.\nAnswer: 3270*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(165\/(-36)))\/((-17946)\/43868).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(60\/(-6))\/(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 114208893?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -24, 11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 257487384, 257487383, 257487382, 257487381, 257487380, 257487379?\nAnswer: 257487378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4*((-486)\/(-36) - 13))\/(-2)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 53\/5 of a micrometer?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*l + 100 = -2*k, 5*k + 3*l + 271 = 0. Let n = -16 - k. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**2. Let q(f) = f**2 + 36*f. What is n(q(m))?\nAnswer: -4*m**4 - 288*m**3 - 5184*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 + 6*p - 6. Calculate u(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-8))**47\/(t*(t**4*t)\/t*t)**22)**(-28) assuming t is positive.\nAnswer: t**14224","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 6*t. Let i be u(-6). Suppose 13*f = -27 - 12. Sort i, f, -5 in descending order.\nAnswer: i, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -189\/4, -8\/3, 0.11, 7 in ascending order.\nAnswer: -189\/4, -8\/3, 0.11, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.08871 litres in millilitres?\nAnswer: 81088.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, d: 1, n: 5, o: 3, u: 1}. What is prob of picking 2 n?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -64.398805 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**5 - 5*d**4 + 8*d**3 + 29*d**2 + 47*d wrt d?\nAnswer: 60*d**2 - 120*d + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/70*2*(-2225)\/(-445).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 2*d**2 + 3*d + 6. Let s be y(-5). Suppose s = 3*v - 0*v. Suppose -3*m - 5*l + v = 0, 5*l + 4 - 18 = -m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h - q + 65 = 0, -3*h = 4*q - 65. Let c = -12 + h. Let v(x) = 66*x + c - 3 - 65*x. Let l(z) = 3*z. What is l(v(u))?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -2.96. Let h = 0.34 - b. Let q = 2.3 - h. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-176)\/(-3344) + 208\/19?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11063367 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 550 and 22660.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 146505639.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2712 by -678.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 22 - 7384\/338 - 3325\/65\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (2 - (12 - -4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 26*r**3 + 1 - 52*r**3 - r**2. Is i(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 - 604072*w\/5 - 45612872648\/5.\nAnswer: -2*(w + 151018)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.68606ml in litres?\nAnswer: 0.05868606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1449*f + 234732. Calculate z(-162).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 12*h - 17. Let j be d(10). Suppose -3*g - 5*y - 3 = 0, j*y + 5 = -5*g + 4*y. Which is greater: -42 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 453 = 6*c + 481, 3*c = 2*n - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 5*l**2 + 5*l - 4. Let a be r(4). Let k(w) = 2*w - 19. Let u be k(8). Sort a, -13, u.\nAnswer: -13, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99530837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6324\/(-180) + 35 - 1408\/(-210).\nAnswer: 46\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/266574 and -109\/2310.\nAnswer: 1332870","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 13772000 rounded to the nearest one hundred thousand?\nAnswer: 13800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 76361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 133355595*k - 171272168 wrt k.\nAnswer: 133355595","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 392803617 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 461 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1348611 is divided by 677.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 167 - 167.34. Let g = -1.66 + h. Let x = -1 - -2. Which is the nearest to g? (a) x (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**4\/3 + 2*t**3\/3 - 26*t**2\/3 - 2*t\/3 + 8 = 0.\nAnswer: -4, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 73*g**2 + 805*g + 24. Let w be i(-11). Which is the second biggest value? (a) -0.4 (b) w (c) 9\/10 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 966*c**3 - 638*c**3 - 786*c**3 + (2*c - 2*c + 2*c**2)*(4*c - 2*c - c) - 1 - c**3 + 1.\nAnswer: -457*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 2*g**2 - 30*g - 35. Let b be x(-5). Solve -y = 9*y + b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 14*g**2 + 12*g - 10. Let a be w(-13). Suppose 16 = 2*b - a*b. Let l = b + 28. 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: What is 6554934818 to the power of 1\/3, to the nearest integer?\nAnswer: 1871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 11:33 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2540077040 a multiple of 1784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247419934 is divided by 92?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1adb7 (base 16) in base 11?\nAnswer: -75717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 - 0.89. Let d = -9.71 + x. Which is the second smallest value? (a) d (b) 1\/4 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 831 and 4709.\nAnswer: 14127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -13) + 578 + -604?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**2. Let k(c) = 5*c. Let z(m) = -8*m + 22. Let s(n) = -n + 3. Let l(d) = 44*s(d) - 6*z(d). Let b(h) = -6*k(h) + 7*l(h). Give f(b(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((h**(-2)*h)\/h)\/h)\/h)\/h)**(-32))**(-24) assuming h is positive.\nAnswer: h**(-3840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 344466414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 135226664*j - 282058. Let y(c) = -20135*c + 42. Give -3*a(b) - 20147*y(b).\nAnswer: -20147*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1288, -5188, -11716, -20878, -32680, -47128, -64228?\nAnswer: -83986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-24)*20\/(-2030)*-29?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: d42 (base 16) to base 9\nAnswer: 4581","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 3*g - 4. Suppose -p + 6*p = -2*q + 12, -28 = -3*q - 5*p. Suppose w - 2*a = -0*w + 12, 0 = w - 3*a - q. Suppose -y + 15 = w*y. Give j(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 16 + 4, 2*s - 110 = -2*u. Suppose 2*o - z = 63, -3*o + 155 = -z + u. What are the prime factors of o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/4 and 4 + (7481\/3)\/((-24154)\/39).\nAnswer: 3716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kcfkcbfffkfybyb. Give prob of sequence kbk.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c - -b72?\nAnswer: b90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 - 4*n**3 + 8*n**3 - 2*n**4 - 3 - 6*n**2 + n - 11*n**3.\nAnswer: -(n + 1)**2*(n + 2)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-135)*325\/(-260)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 25*v**2 + 1. Let n(g) = 120*g - 65*g - 53*g. Determine b(n(l)).\nAnswer: 100*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23802?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j - 5. Suppose -184 = -10*k - 4. What is the remainder when k is divided by r(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5420.211nm to centimeters.\nAnswer: 0.0005420211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away -62.061?\nAnswer: 56.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/1 + 12\/3. Let w(u) = u**2 - 6*u - 2*u + 2*u + u. Let x(c) = -c**2 + 7*c. Let g(n) = 4*w(n) + 3*x(n). Calculate g(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 0*o**2 - 3*o**2 + 6*o**2. Suppose -4 = 2*u, 0*q + 3*q - 3*u = 12. Let i(v) = 0*v**2 - v**2 + q*v**2. Determine i(b(z)).\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017392 to four dps.\nAnswer: 0.0174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2.8. Suppose 0 = -3*k - 7 + 1. What is the closest to l in -4, 2\/3, k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9305 by -5.\nAnswer: 1861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -92844, -185682, -278520, -371358, -464196?\n\"Answer: -92838*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3445\/4596 + -1\/2298. What is the closest to 0.1 in k, -3, 41.05?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 10 - 6 = 4*s, -2*s - 12 = -4*a. Suppose 2 + 30 = -k + 5*w, -3*k - a*w = 62. Let z = k + 42. Solve 6*f + z = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90121741.\nAnswer: 90121741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 5 - 0. Let m be 2*((-3 - o) + 4). Suppose -m*b = -28 - 4. Calculate the remainder when 21 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1772384 is divided by 1111?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*h - 69. Let o(z) = -83*z - 907. What is the least common multiple of o(-11) and h?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/18 and -125\/104046.\nAnswer: 312138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4386 = 3*a - 3*t, -t = 35*a - 31*a - 5868. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 15. Let h = 33 + v. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 - 27. Suppose r*b = 420 + 3060. What is the remainder when b is divided by 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2660589*u + 5321157*u - 2660569*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 7:43 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1907 <= -1907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -15, -3, 27, 81, 165, 285?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -8 - 822*l**2 + 408*l**2 + 4 + 413*l**2 - 8*l. Give i(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.13 - -0.13. Which is the smallest value? (a) t (b) -3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 12747582?\nAnswer: 25495164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 738 + -739. Let k(y) = y + 3. Let d be k(c). Factor 3\/5*p**4 - 6\/5*p**d - 36\/5*p + 12\/5*p**3 + 27\/5.\nAnswer: 3*(p - 1)**2*(p + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 518, 2777, 6658, 12161, 19286?\nAnswer: 28033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 12664809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s + 26 = -10. Let p(j) = -28*j + 1. What is the units digit of p(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -4, -202, 2\/19, 6, -1\/4, 0.38?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y + 13. Let g be w(-5). Let t(m) = -m**3 + 9*m**2 - 8*m - 6. Let x be t(8). Let c = x + 4. Is g equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 629*i**2 - 681*i**2 + 19*i - 35*i + 17*i.\nAnswer: -52*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*h + 20*h + 4913 = 1213 - 2475 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-396)\/264 - (-2)\/(-12)*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8 - -1) + (-63)\/(-21). Solve 7*o - b*o - 20 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 3.113?\nAnswer: -3.113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -75*m + 678. Let d be p(9). Solve -l - 4*w = -16, -2*l - d*l = 2*w + 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 49. Let f(k) = 2*k. Determine f(z(b)).\nAnswer: 2*b + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 3 = 21. Calculate the smallest common multiple of 1 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -j - 2*n + 19, -3*j - 2*n + 222 = 0. Is 38 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 2:06 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 + 9*q + 4. Let w(r) = r**2 - 3*r - 1. Let c(z) = 2*j(z) + 7*w(z). Let o be -6 - -1 - (0 - -1). Is c(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 4*y + 341, y + 0*y + 329 = -5*m. Let c = m + 68. Let n be ((-44)\/(-11))\/(-2 + c). Solve 4*w = -n*j - 8, 0 = -3*j - j + 4*w for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 2. Calculate the remainder when 12 is divided by (g - -4)*1*5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1337, 4.6, -27?\nAnswer: -1337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 112.96994 - 113.07. Let j = u - -0.1. Round j to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1830 and 4980?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2655 and 39915.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -7*v**7\/2 - 9*v**3\/2 + 2*v**2 - 359*v + 2. What is the second derivative of i(x) wrt x?\nAnswer: -2940*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s - 24. Let y be j(5). Let b be (16 - 15) + y + 2. Suppose -a + 2048 = 5*o, -4*o + a + 1621 = -b*a. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1730.\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 118\/(-21)*(-624)\/320. Let v = 76\/7 - m. Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7796, -7795, -7786, -7763, -7720, -7651?\n\"Answer: k**3 - 2*k**2 - 7795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 395*b + 1863 = 464*b for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2, 1356768, -0.15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6*x = -2*p + 2683, -p = 2*x - 1346. Suppose a + 4*k - 1007 = -2*a, 4*a - p = -5*k. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**5\/3 + 1291*p**4\/9 - 55642*p**3\/3 + 11094*p**2 + 3*p + 410. Factor c(k).\nAnswer: -4*(k - 129)**2*(5*k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 10*v**2 - 2*v + 4. Let f be b(4). Let y = 1946 + -1933. What is the highest common factor of y and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 50825237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 17810 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3632647550 rounded to the nearest 1000000?\nAnswer: 3633000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -0.34, 38?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 429425587 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 0*o + 0*o)*(27665 + 13772 + 7130 + 10763 + 2836 + 5807).\nAnswer: 67973*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 o when three letters picked without replacement from {w: 3, o: 7, a: 4}?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2039046345 to the nearest one million.\nAnswer: -2039000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 11 - ((16 - 8) + 17)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5570.6 + 5334. What is b rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 184829, 369676, 554523?\n\"Answer: 184847*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11441, -11188, -10923, -10640, -10333, -9996, -9623, -9208?\nAnswer: -8745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 4*d - 1487999 + 1487787 = 0, -d = 2*z - 53 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 25*q**2 - 26*q - 45. Calculate y(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrhhhrhrrhhr. What is prob of picking 2 r?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -140*h + 196*h - 626*h - 1192*h - 12*h to m + r*h and give r.\nAnswer: -1774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -105 times -14752\nAnswer: 1548960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -66, -140, -204, -258?\n\"Answer: 5*g**2 - 89*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 145*n - 302. Let v(w) be the second derivative of -w**3 + w**2\/2 - 19*w + 3. Let c(y) = h(y) - 5*v(y). What is the first derivative of c(x) wrt x?\nAnswer: 175","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11864*c - 5929*c - 5930*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 3 (c) 55\/13 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 8 = 2*b. Suppose 3 = -2*r - 3*i, -b*r + 5*i = r - 30. Solve -r*z - 24 = -z - 4*y, 28 = -4*z + 4*y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13154152*s**5 - 14*s**2 - 1892*s - 7.\nAnswer: -789249120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 1. Find the third derivative of d**6 + 7*d**2 + 3*d**6 - 2*d**2 - t*d**2 wrt d.\nAnswer: 480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*k = -158*k - n + 22, -5*k - 9*n + 94 = 0 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*s + s - 8, 0 = 5*b + 4*s - 16. Find the second derivative of 10*h + 0*h**2 + 9*h**b + 0*h**2 wrt h.\nAnswer: 108*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/5)\/(1\/(-5)). Let b = 3 - s. Solve b = 5*c + 9 + 16 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y = -y + 15870. What are the prime factors of y?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11955, -11929, -11877, -11793, -11671, -11505, -11289?\nAnswer: -11017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o**6*o*(o\/o**(-7))\/o*o**(3\/7)\/o*(((o**(-3\/5)\/o)\/o)\/o)\/o assuming o is positive.\nAnswer: o**(379\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -294 (base 11) in base 10?\nAnswer: -345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 + -35 - (18 - 2) - (-116 - 4).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -5, -6, 1664\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1311, -559, -2415, -4251, -6061, -7839, -9579?\n\"Answer: a**3 + a**2 - 1880*a + 3189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -1\/2, 2, -67193 in ascending order.\nAnswer: -67193, -57, -1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(405) + -1 - sqrt(405))**2 + 1*sqrt(20)) + -2.\nAnswer: -10*sqrt(5) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 + 2*i - 1. Let h(j) = 982*j**2 + 84*j - 2. Let p(k) = h(k) - 3*s(k). What is the second derivative of p(r) wrt r?\nAnswer: 1946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1838155 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*r - r + 2*r)*(3 + 0 - 1) + 2*r - 5 + 5)*(-26*r - 6*r**3 + 26*r) to the form d*r**3 + j*r + a*r**2 + n + m*r**4 and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(8\/3)*y)\/(y*y**(-1\/10)*y) assuming y is positive.\nAnswer: y**(83\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 642 (base 9) to base 5\nAnswer: 4044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*o + 513, -o + 1529 = -3*x - 5*o. Let l = -63 + 859. Let p = l + x. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17735352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l**3 + 11*l**3 - 6*l**3)*(-14 + 2*l**2 + 14).\nAnswer: 32*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 360 = h - 5*h, h + 4*g = 90. What is the tens digit of 1698\/h + (-2)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6 + 8 - h - 6*h + 9*h. Calculate the least common multiple of ((-8)\/(-10))\/((-4)\/(-50)) and r(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -6\/25, 2, 0.5 in increasing order.\nAnswer: -41, -6\/25, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108037329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232180666 is divided by 2612.\nAnswer: 2598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 8*d - 1. Let u(y) = 23*y - 11. Calculate the remainder when u(2) is divided by h(10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 574333*k - 574333*k + 646*k**2.\nAnswer: 646*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.2? (a) -1.3 (b) 2\/15 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (2 - -6)) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2\/27, -0.22?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**6\/120 - v**5\/15 - 5*v**4\/24 - v**2\/2 + 5. Let d(n) be the second derivative of k(n). Determine d(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*s, -f + 3*s - 4 + 15 = 0. Solve -2*r - 7 = 3, -2*c - 2*r = f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 253*f + 2. Let d(b) = 3*b**2. Give d(k(m)).\nAnswer: 192027*m**2 + 3036*m + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 - 3 + 1115*s - 1115*s. Let f(a) = -10*a**2 - 14. Let v(t) = -6*f(t) + 28*y(t). Let k(w) = -2*w. Calculate k(v(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 45920.\nAnswer: 45920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -544 (base 6) to base 16.\nAnswer: -d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-2) - 15\/(-5). Let b = 47 - r. Suppose k - b = -2*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**5\/20 - 41*k**4\/12 + 40*k**3\/3 - 38*k**2 - 4*k - 2. Let h be q(39). Solve -5*x - 2*y = 8, 3*y + h = -2*x + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, w: 6}. Give prob of picking 2 v and 1 w.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 2*o**2 - o. Let z be k(1). Suppose v - 182 = -4*h + 213, 5*h + 5*v - 490 = z. What is the greatest common factor of 33 and h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5932, 10203, 14470, 18733, 22992?\nAnswer: 27247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96*z - 295 - 4*z**2 + 290 + 3*z**2 - 95*z - 62*z**3 to the form a*z**2 + b + p*z**3 + g*z and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 950 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*n - 58. Find the first derivative of -7 + 2*d - 15*d - n*d + 8*d wrt d.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/8)*d*d\/d**11*d*d)**(-4\/17) assuming d is positive.\nAnswer: d**(53\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + q + 3*q)*(3*q**3 + 2*q**3 - q**3) - 120 + 120 + 86*q**4.\nAnswer: 78*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*r = 0. Suppose -4*p + 2*m + 5 + 11 = r, 2*p + m - 16 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**8\/20160 - y**7\/2520 + y**5\/30 - 16*y**2. Let a(x) be the third derivative of q(x). Give a(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 98 = -3*r, -2*r + 102 = 2*u - 0*r. Which is greater: 54 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -12*g**2. Let u(s) = 2*s - 6. Determine f(u(b)).\nAnswer: -48*b**2 + 288*b - 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/336 and -95\/27306.\nAnswer: 1529136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 0.07286\nAnswer: 0.021858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -137.2 rounded to 0 dps?\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -2*z**7\/35 + 82*z**6\/75 + 11*z**5 + 177*z**4\/5 + 752*z**3\/15 + 152*z**2\/5 + 8911*z. Suppose l(a) = 0. Calculate a.\nAnswer: -2, -1, -1\/3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-five quarters of a milligram in micrograms?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2190)\/(-9))\/(-5) + 4\/6. Let y = g + 50. Suppose 0 = -3*s + 5*f + 30, 3*s - s - 20 = y*f. Solve -10 = 5*t - 2*z, 0*t - 4*t + 2*z = s for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**2 + 2*b**2 - 6*b**2 + 135*b - 135*b.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252902777?\nAnswer: 252902777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rdrrdddyhdhdhhyddd. Give prob of picking 1 r, 1 h, and 1 y.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -55*y + 57*y - 12, -2*n - y = -5*y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 1 = -13. Suppose 0 = -2*l - 3*m + 84, -l - i*l - 5*m + 166 = 0. Suppose c = 91 + l. What is c rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 280\/3*h**3 - 216*h + 26\/3*h**4 + 0 - 784*h**2 + 1\/5*h**5. What is q in u(q) = 0?\nAnswer: -14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2\/9 - 1169422*k\/9 + 1169416\/3 = 0. Calculate k.\nAnswer: 3, 584708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzneeenzbezeinienn. Give prob of picking 1 b and 1 z.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 836\nAnswer: 5\/836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1420826100 to the nearest 100000.\nAnswer: 1420800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5148, 10296, 15444?\nAnswer: 20592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2. Let c(i) = -49*i**2 - 1. Calculate c(w(h)).\nAnswer: -49*h**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - r = -1253718, -5014809 = -216*j + 212*j + 5*r. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.148 + -5.148. Which is the closest to p? (a) 1 (b) -0.03 (c) 4\/7 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11.99 - -10.99. Which is smaller: -8.4 or a?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - w + 6*w + 0*w = w, 3*w = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -453662 equal to -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 6 - 6. Solve -b + 1 = -3*f, f - 2*b = -u - 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3094470299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**3 - 3*j**2 - j + 10. Let k(g) = g**3 - g**2 + g + 1. Determine -3*k(x) + z(x).\nAnswer: -x**3 - 4*x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 3:14 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -100 + 18. Calculate the remainder when h is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 58430*s - 6689. Is f(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 214 and 6?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 5\/2. Let y(t) be the third derivative of -t**4\/24 + t**3\/3 - 2*t**2. Let c be y(2). Which is smaller: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 676030?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11389, 45508, 102381, 182014, 284413, 409584, 557533, 728266?\n\"Answer: m**3 + 11371*m**2 - m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esjleejyqeelee. Give prob of sequence ljl.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1)\/w)\/w)**(-39)*(w**(-1))**(1\/21) assuming w is positive.\nAnswer: w**(1637\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/20*8\/26. What is the third biggest value in -4, 0.1, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 20*c**2 - 92*c + 98. Calculate s(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**14)**(-21\/2)*d**14*d*d**(-5\/3) assuming d is positive.\nAnswer: d**(-865\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64.7 + -62. Let x = r + -2.6987. What is x rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 9*v**2 + 7*v + 24. Determine s(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -12. Calculate the remainder when 22\/(-22) + 32\/1 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 8*s**2 + 1. Let b be j(-8). Let q be b + (-1)\/(4\/(-8)). Let c(m) = 2*m + 0*m + q*m. Let o(z) = -2*z. What is c(o(g))?\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -629119 divided by 701?\nAnswer: -629119\/701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 2*p - 1. Let v be l(-2). Let k = 11 - v. Suppose -k*x + 5*u + 2 = -23, 4*x - 23 = 3*u. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 6:10 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j**3 - 41*j + 44*j + 8*j**2 + 4 + 7*j**3 - 3*j**2. Let b be (2 + 0)*(-4 + 2). Determine k(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 298377*n**6 + 6*n**2 + 2*n + 3719 wrt n?\nAnswer: 35805240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.32 + -1.32251. What is s rounded to four dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1344\/(-1792)*229300\/(-3).\nAnswer: 5, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t - 3*t + 4*t)*(35*t - 31*t + 306 - 3*t)*(51 + 2*t**2 - 51) in the form p + s*t**4 + g*t**2 + z*t + o*t**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(105\/160)*(-21)\/(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.164 + 425019.149\nAnswer: 425018.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2227603 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11121101200202 (base 3) in base 16?\nAnswer: -255c68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 99, 219, 387, 603, 867?\nAnswer: 1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -2*n - 2 + 1\/2*n**2. Let h be q(4). Put h, -2\/7, -4 in descending order.\nAnswer: h, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-3))\/x*x*x*x)\/x)**22\/(x**(2\/11)\/(x\/x**13)) assuming x is positive.\nAnswer: x**(-376\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -0.04. Let o = n - 0.01. Let f = -0.03 + o. What is the closest to 1 in -1\/5, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o**3 - 4892*o - 4893*o - 3*o**3 - 4889*o + 14674*o.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 51*t**2 + 27*t - 133. Let j be r(-50). Solve -j*i + 1009*i = -64 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*q**2 + 2*q**2 + 2*q**2 + (-1 + 1 + 3*q)*(-4*q + 2*q + 0*q))*(4 + 3*q - 4).\nAnswer: -36*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.9 - -2. Let x = 0.1 - 0. Is d bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -4*s + 6*q - 11*q, 0 = -3*s + 4*q - 5. What is the third derivative of 14*k**2 - 9*k**4 + 52*k**2 + 45*k**4 - s*k**2 wrt k?\nAnswer: 864*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (111\/(-37) - (-1 + (-24188)\/(-6)))*-3. Round f to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2 - 4 = 0. Let v(x) = -x**2 - x. Let h(t) = 3*t + 1. Let m(q) = n*h(q) - 3*v(q). Suppose -z + 5 = s, -5*z + 3*s = -s + 2. What is m(z)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**3 - 500*b**2 - 31250*b = 0.\nAnswer: -125, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 811.001534 - 811. What is p rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7454700 by -18825.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19887004, -19887002, -19886998, -19886992, -19886984, -19886974?\nAnswer: -19886962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 353.4 + -405.54. Round h to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s. Let l(i) be the second derivative of -27*i + 0*i**2 - 1\/3*i**3 + 0. Determine a(l(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-495)\/10*(-60)\/(-270). Let v(x) = -x + 48. What is v(y)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -k - 0. Let r be (-2)\/28 + (-1)\/k. Let x be (-3)\/(-2)*(1 + 1). Sort -5, x, r.\nAnswer: -5, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**6\/120 - j**5\/60 - 5*j**4\/24 + j**3\/2 + j**2 + 4*j + 23. Give m(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2. Let t(j) = 54*j**2 - 1. Calculate t(b(r)).\nAnswer: 216*r**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 10584449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -0*r + 6. Suppose 0*x = -x - r*x. Solve 2*u = -x*u + 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1065*g = 33139 + 68036 for g.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1817994, 3635987, 5453980, 7271973, 9089966, 10907959?\nAnswer: 12725952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6736 + 6762. Which is the nearest to 0.1? (a) 0 (b) -2\/7 (c) w (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 5:41 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 10*k**2 + 85015*k - 85017. Give f(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 s, and 1 r when three letters picked without replacement from {r: 9, p: 3, q: 2, s: 4}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38640.\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1038 - 182\/((-28)\/(-2)) is divided by 128.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 11*f + 1740 = -8*f, 3*j + f = -1756. Is -2 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7*l**3 + 190*l**2 - 30*l + 112. Determine d(27).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*t - 34 = -134*t + 2*q, 0*t + 10*t - 4*q - 68 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + -4*(sqrt(605) + (-4 + sqrt(605))*-6) + -5)**2*-5.\nAnswer: -215600*sqrt(5) + 1258020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 228 (b) 0 (c) -3 (d) 19 (e) 0.02 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/12)\/((-50)\/(-1)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1243, 2460, 3647, 4798, 5907, 6968, 7975?\n\"Answer: -r**3 - 9*r**2 + 1251*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q**2 + 2*q + 2. Let u be y(-2). Suppose 2*o = -0*o + u. Let c be 4\/o*15\/(-6). Put -1, c, -5 in descending order.\nAnswer: -1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133749 and 16038.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 7*m - 8. Let h be y(-9). Calculate the greatest common factor of h and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15 - -1041.7913212.\nAnswer: 1041.6413212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -146056, -140028, -133998, -127966, -121932?\n\"Answer: k**2 + 6025*k - 152082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -21*m**2 - 9*m + 3. Let z(r) = 64*r**2 + 28*r - 10. What is -16*i(s) - 5*z(s)?\nAnswer: 16*s**2 + 4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 43*z**6\/24 - z**5\/60 + 11*z**4\/8 - 65*z**3\/6 + 113*z**2 + 2*z. What is the thousands digit of k(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 155\/62 + (-2)\/3*1020\/80?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f - 29. Let g be z(0). Suppose -9*h = -14*h - 150. Which is bigger: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-747))\/((-10)\/860292). Let w = 1382 - j. Let s = w + 1237\/1660. Is -10 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2815 divided by -3\nAnswer: -2815\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen halves of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/266949 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2197 + -2197. Sort j, -3, 19, -31 in decreasing order.\nAnswer: 19, j, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40859069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/4))**(-21)*(l*l\/((l\/(l*l**(1\/2)\/l))\/l))**(1\/10))\/((((l**(5\/6)\/l)\/l*l)\/(l*l**(-1\/5)))\/(l**(-2\/3)\/l)**(4\/11)) assuming l is positive.\nAnswer: l**(-8461\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 8*p**5 - 34*p**4 + 12*p**3 + 86*p**2 - 40*p - 72 = 0.\nAnswer: -1, 2, 9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -0.062.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/((-4 + 7)\/9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -62, -4, 2\/7, 0.1, -0.4?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 - 92*z**3 - 17 + 93*z**3 - 2*z**2 - 3*z**2 to the form y*z**3 + m*z**2 + h + a*z and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-6)\/8)\/(-1))\/(61\/657336)?\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 3*s - 101 = 0, 1270*g - 1269*g = -3*s - 23 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -2*w**3\/33 + 5*w**2 - 108*w\/11 - 15. Find x such that b(x) = 0.\nAnswer: 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7254 and 12428.\nAnswer: 3467412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 652945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) - (sqrt(112) - (-5 + sqrt(112) + 0 + sqrt(112)))) + -5 + -1*(0 + sqrt(112))*5.\nAnswer: -12*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h**(-2\/7)*h*h))**(-49))**(2\/151) assuming h is positive.\nAnswer: h**(266\/151)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -272, -1, -41111 in ascending order.\nAnswer: -41111, -272, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434 is divided by 221.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14975\/9 - 1670. Let t(q) = -25*q**3 - q**2 + 5*q - 7. Let v be t(-3). Find the common denominator of a and ((-1)\/(-9))\/(14\/v).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -42649955.\nAnswer: -8\/42649955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2491 is divided by 1209?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10321, -10397, -10473?\nAnswer: -10549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*t - 12342 = -755*t for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*l**2 + 29*l**3 - 11*l**3 + 6*l**2 - 9*l**2 as h*l**3 + u + c*l + f*l**2 and give f.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2. Let c(l) = 12012*l + 169. Let k(q) = -143*q - 2. Suppose -4*m - 1537 = o + 2*o, m = -3*o - 1525. Let z(g) = o*k(g) - 6*c(g). Give z(t(s)).\nAnswer: -429*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - g + 0 = -5, 0 = -3*g + 15. Suppose -p = -q*p. Suppose p = -3*s + 8 + 22. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*3*-2*1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 269071599 to the nearest integer?\nAnswer: 646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1959 + 1958. Put 2, 0.7, q, -2 in decreasing order.\nAnswer: 2, 0.7, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*t + 1718 = -16410 for t.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 1344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12 + 4 + 71*q**2 - 93*q**2 wrt q?\nAnswer: -44*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**6\/30 - 67*k**5\/20 - 13*k**3\/3 - 5*k**2\/2 - 328*k. What is the second derivative of h(f) wrt f?\nAnswer: -12*f**2 - 402*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 - 9*s + 15. Let o be z(3). Find u such that -7*u**2 - 3 - 6*u**2 - 48*u**3 + 4*u**2 + 21*u**3 + o*u = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00107299742 rounded to six dps?\nAnswer: -0.001073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 2*w = -52, 5*r - 113*w + 118*w - 3 = 177 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 2, 2\/5, -7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*o**3 - 15*o**2 + 18*o - 3408 wrt o.\nAnswer: 9*o**2 - 30*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 4*w = 310. Find the second derivative of 9*u + w*u**3 - 31*u**3 - 31*u**3 - 4*u**4 wrt u.\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263*c + 2937966 + 2168843 = 589784. Is c a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40.76*1.33.\nAnswer: -54.2108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxc when three letters picked without replacement from wggxwwwxcxxgww.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 1. Let w be x(0). Let v = 1 - w. Is -1 + v + 342\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 5*z + 2*f + 5, -4*z + 3*f + 50 = 0. Suppose 2*x + 0*x = z. What is the smallest common multiple of x and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.51092*-12.411\nAnswer: -6.34102812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23412 + 33404 + 102195 = -2609*a for a.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(0 + 1)*-5. Suppose -2*t + h + c = 0, -2*h + 7*h - 20 = t. Suppose 0 = -t*k - 45 + 135. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h + 5*h - 1694. Calculate the highest common factor of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 7203.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2283819276?\nAnswer: 2, 3, 1879, 101287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46805?\nAnswer: 5, 11, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**6\/75 + 3*p**5\/200 + 17*p**4\/120 - p**3\/5 - p**2\/5 - 31*p. What is n in v(n) = 0?\nAnswer: -2, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2094776?\nAnswer: 2, 261847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r - 1. Let p be 18\/30 + ((-8)\/5)\/1. Let h(i) = 23*i - 17. Let y(l) = p*h(l) + 6*z(l). Determine y(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*b + 32*b - 20. Solve 2*f - 3*q + b = 0, -6*f + 3*q = -f + 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b**4 - 28*b**3 - 2136*b**2 - 2612*b - 520 = 0 for b.\nAnswer: -10, -1, -1\/4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/7722 and 121\/130.\nAnswer: 38610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(3 - 0 - -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2009*g + 1997*g - 3727*g.\nAnswer: 279*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*g - 3540 = -404 for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = k + 156. Suppose 5*d - 1 - 14 = 0. What are the prime factors of (-3)\/9 - k\/d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from dkkdkkkk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1932 = -10*g - 1952 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/331 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 73 = u, -2*h + 0*h = 3*u - 39. Suppose -23*c + 248 = h. Calculate the smallest common multiple of c and 860.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-20))**(-2\/13)\/(z**(-1\/4)*z**(-2\/27)\/z))**47 assuming z is positive.\nAnswer: z**(270109\/1404)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1476490 divided by -38?\nAnswer: 38855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * -19\nAnswer: -1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(68)*1 + sqrt(68)) - (sqrt(68) + sqrt(68) + -6*(sqrt(68)*-2 + sqrt(68))))\/(1*sqrt(4)*-2 - (sqrt(12)\/sqrt(3)*-3 - sqrt(4))).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 9*x**2 + 26*x + 16. Calculate the least common multiple of z(9) and 45.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1143 - 146701.\nAnswer: -146700.8857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**4\/24 - 2*w**3 - 39*w**2. Let d be l(16). Solve 3*s + 5*q + d = 0, -11 = 5*s + 5*q - q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1910 - -1902.468. Round h to one dp.\nAnswer: -7.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2179 - 2188. Let k = 0.08 - 1.48. Let r = -0.4 - k. What is the closest to r in -2, b, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 4. Suppose -5*d - 4*r + 5 = -3, 5*r = d + i. Let x = 2092 + -2095. Which is the smallest value? (a) 0.4 (b) d (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/36 and -163\/450.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/5))**(14\/3)*(i\/(i**(-2\/3)\/i))\/i**(4\/5)*(i**1\/(i*i**(-3\/10)))**(3\/16) assuming i is positive.\nAnswer: i**(95\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1216944399?\nAnswer: 3, 11, 211, 174773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11799864 divided by 6\nAnswer: 1966644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from lllaalllaaaaal.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 316 - 2216\/7. Let k be (-522)\/435 + 2*(-28)\/(-30). What is the nearest to k in -1\/5, n, -2\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 111?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4943 - -1064. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**3 + 1675872 + 3*v - 1675872.\nAnswer: 8*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/((-384)\/(-18)))\/((-3)\/2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-11)*m**(4\/9)*m**(2\/19)\/(m\/(m\/(m*m**(-15)*m))*m) assuming m is positive.\nAnswer: m**(265\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = 30*k - 36. What is the first derivative of 3*o**2 + 67*o**3 + 39*o**k - 27 - 3*o**2 wrt o?\nAnswer: 318*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**5 - 6*y**5 - 39*y**5 + (2*y + 2*y - y)*(y**4 + 0*y**2 + 0*y**2) + 5*y**5 - 4*y**5 + 3*y**5 - 27*y**2 + 5*y + 27*y**2 + 2*y**5.\nAnswer: -42*y**5 + 5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -279 + 388. What is the remainder when u is divided by ((-4970)\/(-15))\/7 + (-2)\/(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 32 = 4*f. Let h = f + 2. Suppose h = 4*g - 6. Solve 9 = m - g*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1093161 is divided by 791?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1394895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 6:54 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from {i: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1128 greater than -1123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001334582 rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + x = 50, 3*f + 8 - 69 = 2*x. Let y = f - 14. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o - 21. Let c(a) = -5*a + 19. Let p(j) = 5*c(j) + 4*x(j). Determine p(8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*r = 25, w - 4*r = -w + 6. Which is the nearest to 1? (a) 2\/5 (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 36 = 4*m. Let u(j) = -2 - 10*j + 3*j**2 + 0*j**2 - 4*j**2 + 3. What is the units digit of u(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526 is divided by 138?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3550 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**3*z + 19*j**3 + 4*j**2*z - 12*j*z wrt j?\nAnswer: -12*z + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**3 + u**2 + 2*u - 3. Let a(i) = -i**2 + 11*i - 7. Suppose 0 = r + 4*r - 45. Calculate the remainder when w(2) is divided by a(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 PM and 6:42 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 146, 159, 162, 149, 114, 51?\n\"Answer: -b**3 + b**2 + 17*b + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h - 18 = 0. What is the remainder when 7\/((-7)\/(-4)) - h is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 bigger than 32\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -23\/4*c**4 - 38\/21*c**7 + 0*c**2 - 91*c + 0 + 0*c**3 + 0*c**6 + 0*c**5. Find the third derivative of s(a) wrt a.\nAnswer: -4560*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1282931, 1282832, 1282669, 1282442, 1282151?\n\"Answer: -32*d**2 - 3*d + 1282966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 11, w: 1, q: 8}. What is prob of picking 1 p and 1 q?\nAnswer: 44\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82 or 35289?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30819194?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*(-5 + 0 + sqrt(539) - sqrt(539))*4 + 4 + -1*(sqrt(539) - (sqrt(539) + sqrt(539) + -1))*-1)**2.\nAnswer: -350*sqrt(11) + 1165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4577, -5482, -6387?\n\"Answer: -905*t - 3672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 3*z**2 + 5*z + 2. Let u be t(4). Suppose 3*v = 0, -2*o - o = 3*v + 2*v. Solve 0 = 5*r - s + u, 3*r - s + 2 = -o*s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) 2 (c) -1\/9 (d) -4081\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*c = 24*c - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80232*a**3 + 4*a**2 - 962489*a?\nAnswer: 481392*a + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 1\/3, 18 in decreasing order.\nAnswer: 18, 1\/3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -100236249129.899998331 - -100236251936.9. Let c = o + -2807. Round c to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222033233110 (base 4) to base 12.\nAnswer: 3860a44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -69, -37, 3, 45, 83, 111, 123, 113?\n\"Answer: -x**3 + 10*x**2 + 9*x - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/77 or 0?\nAnswer: -4\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 507 - 496. Suppose j = 34 + 43. What is the highest common divisor of j and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5263 - -131001?\nAnswer: 122405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -274 + 402. Let y = u - 113. Solve -y = -11*w + 8*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -126, -263, -438, -669, -974, -1371, -1878?\n\"Answer: -3*v**3 - v**2 - 113*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*c + 2, -19 = -5*x - 3*c - 3. Let k(h) be the first derivative of 2*h**x - 3*h**2 - 2*h**2 + 2*h**2 + 9*h + 1. Calculate k(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*h + 16, 21*n + 18 = 5*h + 20*n. Solve 4*o = 2*s - o + 12, -h*s = 4*o - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*h - 2 = -h, -18 = 3*v - 4*h. Sort 1, v, -22.\nAnswer: -22, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/4)\/((-2)\/(-4)). What is the third derivative of -3*j**f - 54*j**2 - 4*j**5 + 53*j**2 wrt j?\nAnswer: -420*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -532996 + 4796963\/9. Let o be 1 - 6*2\/3. What is the smallest value in n, o, -0.7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 36639186, 73278391, 109917596?\n\"Answer: 36639205*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**2\/8 + 3*z\/2 + 20 = 0.\nAnswer: -8, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 11:30 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + v - 5. What is x(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 11*a + 2. Let i be j(-11). Solve -r - 1 = -i*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 + 90.0049. What is l rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5)*j*j**(2\/13))\/((j**(3\/14)\/j*j)\/(j\/(j**(-5\/8)*j))) assuming j is positive.\nAnswer: j**(-2501\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 3. Let j be k(-6). Let w(z) = 13 + 1 - 11*z - 3 - 13*z**j. Suppose 22*l = 30*l - 32. Let h(b) = -6*b**3 - 5*b + 5. Determine l*w(m) - 9*h(m).\nAnswer: 2*m**3 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -212*h**2. Let d(s) = -14*s**2 + 6*s - 18. Let a(j) = 16*j**2 - 7*j + 21. Let c(i) = -6*a(i) - 7*d(i). Determine c(l(t)).\nAnswer: 89888*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 2*t - 5*t)*(-3 - 2 + 7) + t - 1 + 1 - 2*t + 2*t - t + (2*t + 4*t - 2*t)*(5 + 0 - 3) + (-8*t + 0*t + 7*t)*(11 + 13 - 5).\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -u + 53, -93 = -2*u - g + 6*g. Suppose -3*q = c - u, 1 = 3*q - 2*q. What is the units digit of -4 + 1 + c + 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*g - 26*g - 34*g.\nAnswer: -103*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1401.5*9.85\nAnswer: -13804.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-27)\/54)\/((-2)\/12). Let c(k) be the second derivative of 4*k - 2\/27*k**n - 1\/18*k**4 - 1\/90*k**5 + 0 + 0*k**2. Determine s so that c(s) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -30 + -1 + (1 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 962 = -8*c - 766. Let l be 48\/c + (-46)\/36. What is the nearest to 2 in 4, -0.1, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o - 33*o + 56 = 0. Solve 3*m - o + 2 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 6:12 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-11)\/22)\/(2\/(-8)). What is the highest common factor of g and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 47250 = -28750. What is n rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -582 - -582.00257. What is o rounded to 4 dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a + 154. Calculate z(48).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.10980779007 + -3\nAnswer: -3.10980779007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*(-12)\/(-54)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.958 to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 - 53*i + 266. What is k(-31)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b + 5*b - b**2 + 197 - 190 + 2 + 2*b**2 - 2 + (-2 - 2*b + 2)*(3*b + 2*b - 6*b).\nAnswer: 3*b**2 + 11*b + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1434 divide 100627962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 15*p**2 + 44*p - 1. Determine r(7).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501266 is divided by 501259.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2 = -3. Let d(t) = t**3 + t**2 - t. What is the units digit of d(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddbdddwdddddddd. Give prob of sequence wd.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**3 - 444*q**2 + 812*q + 6540 = 0.\nAnswer: -3, 5, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -840 - 71?\nAnswer: -8b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 19. Let d = 0.09 - 1.99. Let c = d + 2. Put t, c, 0.5 in descending order.\nAnswer: t, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 456 = 9175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-11)*r)\/r*r**(-7)\/r*r*(r\/(r*r*r*r**8*r*r)*r)\/r*r**(-1\/11) assuming r is positive.\nAnswer: r**(-331\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*z - 4. Suppose 32 - 12 = -4*v. Let b(t) = t**2 + 5*t. Let x be b(v). Solve x = d + z*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71835*m**2*r - 40*m*r + 257*m wrt m?\nAnswer: -143670*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-275) + ((-63)\/(-77) + 3 - 4). Which is the second smallest value? (a) 1\/655 (b) 0.4 (c) 2 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u = -11*u. Suppose 5*x - 4*b + 8 = 0, b = 4*x + x + 2. Suppose -3*t + 13 = -17. Solve u = y - x*v - 5*v - 18, -y + 3*v = -t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 6*o**2 + 7. Suppose q - 18 = -3*y, -3*y = -2*q - 0*y - 9. Let l be 1 + 7 + (1 - q). What is the units digit of z(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**5\/17 + 8*q**4\/17 - 2*q**3\/17 - 8*q**2\/17 = 0.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**2 + b**3 + 0*b - 2 + 4 - 5 - b. Let o be c(-3). Suppose v + v - 36 = o. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 15 = 45. Suppose 4*x - 2*h - 168 = 2*x, 4*x - k*h = 336. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25693536 by 352.\nAnswer: 72993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - 5 - ((-56)\/18)\/4. Which is the nearest to 0? (a) y (b) 4\/21 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 11*c**3 + 890*c**2 - 58*c + 1939. Give x(-81).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1063027, 1063026, 1063025, 1063024, 1063023, 1063022?\n\"Answer: -n + 1063028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006268309173 rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z - 8. Let n be f(7). Suppose -n + 5 = -5*i. Suppose 5*x = -0*x - 25. Sort x, i, -2 in descending order.\nAnswer: i, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1275 in -2, 1\/3, -159?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, 2003, 5485, 10359, 16619, 24259, 33273, 43655?\nAnswer: 55399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.63594541 + 0.63643. Round o to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 524 + -523.9. Let w = -163 - -287. Which is greater: o or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 - 0)\/(-2 + 1). Let k = l - -8. What is the remainder when 5 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 817 divide 12826083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 0 + 0*f**4 + 4*f**2 + 2*f + 0*f**3 + 0*f**5 - 2\/15*f**6. Find the first derivative of m(a) wrt a.\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a - 4*z + 22 = 0, -3 = 3*z. Suppose a*b - 2 = 15*b. Suppose -3*j - 15 = 2*j. Sort j, -2, b in increasing order.\nAnswer: j, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*v - 26 + 37 - 13)*(-2 - 1 + 1)*(-2 + 2 + 2*v).\nAnswer: 196*v**2 + 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(10\/7)\/k**(-13) assuming k is positive.\nAnswer: k**(101\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39121 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/180)\/(1\/15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070894176?\nAnswer: 2, 11, 877, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**5 + 410*h**4 + 5345*h**3 + 21680*h**2 + 15440*h - 42880 = 0. What is h?\nAnswer: -67, -8, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 5078?\nAnswer: 5\/5078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -1 (c) -5 (d) -106 (e) -189 (f) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 110110010110011 (base 2) to base 5\nAnswer: 1342302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -1121 (c) 0 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/(d\/(d*d*d**(-2))))))**(-3\/11))**21\/(((d*d*(d**1\/d)\/d)\/(d\/(d*d**(4\/5)*d)*d))\/(d**(-1))**(-2\/79)) assuming d is positive.\nAnswer: d**(-701\/395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 231591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*j*j**(-2\/5)\/j)*j)\/j)\/j)**(-45))**(-9\/8) assuming j is positive.\nAnswer: j**(-243\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 t when two letters picked without replacement from {t: 1, y: 1, j: 1, e: 1, u: 2, f: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvtvtvvtttvv. Give prob of sequence vt.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4271132 and 1480?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5*(5 + sqrt(17) + (5*sqrt(170) - sqrt(170))\/sqrt(10) + ((sqrt(17) + 1)*3 + sqrt(17) - sqrt(34)\/sqrt(2)*2))**2*-6.\nAnswer: -26905 - 3360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/17, 1\/1117617, -1\/2?\nAnswer: 1\/1117617","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/781209 and 77\/6070?\nAnswer: 7812090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2092951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -51028 (base 9) in base 6?\nAnswer: -415212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x - 6. Let m be i(-3). Suppose m*s + 2*o + 56 = 3*o, 0 = -5*s + 4*o - 105. Let j = s - -52. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 129 = 2*o - 126, 0 = 4*o + 4*s - 480. Let z be (-16)\/((-2)\/6*2). Let a be (8*z)\/((-10)\/o). What is a rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 - 20*p + 16.\nAnswer: 4*(p - 4)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299337631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by -156.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**4 - 2*w**3\/3 - w**2\/2 + 5*w + 1. Suppose 36 = 5*y + 13*y. Is k(y) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 20*y**2 - 2. What is r(20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*sqrt(96)\/sqrt(4))\/(1*sqrt(1200)).\nAnswer: -3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -394.34442 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129993*415.\nAnswer: -53947095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -39 in descending order.\nAnswer: 0, -1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -8*z**2 - 53*z + 71. Let u(f) = -3*f**2 - 18*f + 24. Let i(m) = 11*u(m) - 4*y(m). Let o be i(12). Solve -o = -t - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49089?\nAnswer: 3, 16363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12*1\/(-4) - (-278)\/(-136) and -97\/6.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45769594.\nAnswer: 2, 13, 19, 7127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 32. Let c be -13 + 0\/(-1 + 4). Let p be y(c). Differentiate 2*n - 2 + p + 17*n with respect to n.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -2\/17, 0.07033, -0.19?\nAnswer: 0.07033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + (3 - (11 + -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 y when four letters picked without replacement from {j: 1, e: 4, g: 4, y: 9, c: 2}.\nAnswer: 72\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 547.229s in milliseconds?\nAnswer: 547229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(n\/(n*(n\/(n**(4\/17)\/n))\/n*n*n*n))))\/n*n*n)**(-7\/2)\/(n**11)**(-16\/11))**(18\/11) assuming n is positive.\nAnswer: n**(7857\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**3\/6 + 7*d**2\/2 - 2*d. List the prime factors of i(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbqq when four letters picked without replacement from {q: 2, m: 1, b: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f + 31. Let s be k(-9). Suppose 2*c = -t + 1335, -5*t = -2*c - s*t + 1329. Round c to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-2 - (-4 + 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mamfipffmfpfmamj. Give prob of picking 1 p and 1 i.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/2*g**3 - 1\/4*g**2 + 0*g - 1\/4*g**4 + 0 = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 560232?\nAnswer: 2801160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**5 - 11*i**4 - 32176*i**3 + 249845*i**2 + 1.\nAnswer: -120*i**2 - 264*i - 193056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 10 - 60 = 0. Suppose 41 = p*l - 9. Solve h + 4 = -0*h - g, -14 = l*h + 2*g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**3\/4 - 7627*g**2\/4 + 2650565*g\/2 + 530418 = 0. What is g?\nAnswer: -2044, -2\/5, 519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*k = -52*k - 98*k + 660 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(21)\/sqrt(75) - (sqrt(7) + sqrt(7) + sqrt(35)\/(sqrt(35)\/sqrt(7)))))**2.\nAnswer: 84*sqrt(7)\/5 + 1597\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-8))\/(6\/(-16)). Let g = w - 0. Let d(x) = x**2 - 4*x + 3. Give d(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 + (2 - 2) + -3. Let l(c) = -6*c - y + 2 + 5. Calculate l(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 56 (b) 2\/7 (c) -3568\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*w = 8, 0 = -5*b - 4*w + 1506. What is the common denominator of 6*5\/1440*b*1 and -85\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1044, -72, 1556, 3846, 6804, 10436?\n\"Answer: t**3 + 322*t**2 - t - 1366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 76 * 31.39.\nAnswer: 2385.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4216114 centimeters to millimeters.\nAnswer: 4.216114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(454*j + 11553*j - 2383*j)*(-j**2 - j**2 - j**2).\nAnswer: 57744*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/28*1*72*1419\/6966.\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from eeslgeew?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/18 - 4*-1. Let z be -2*(-1)\/2 + (-9)\/18. Factor c + z*c**m - 3\/2.\nAnswer: (c - 1)*(c + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3326 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g**2 - 4*g + 12. Let b(h) = -9*h**2 - 8*h + 23. Let z(w) = 6*b(w) - 11*t(w). Let c = 1 + 9. Let d be 44\/c + 2\/(-5). Determine z(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 - 7 + 7 - 2*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 9 = -3*k, -43 = -4*z + 5*k. Calculate the remainder when 690\/z + (72\/42)\/(-3) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 457 + 848 = 0. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11994294 and 52.\nAnswer: 23988588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-75)\/(-125))\/((-1062)\/(-60)). Is p bigger than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 12*w - 14. Let b be t(10). What is the units digit of 52\/b - (-4)\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1430265?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7909 - 6949.5. What is r rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 7 - 3*b + 2*b + 164*b**2 - 15 - 162*b**2.\nAnswer: 2*b**2 - b - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and -10.5569.\nAnswer: -12.66828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -30 + 14 - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16, 15, 60, 119, 192, 279, 380?\n\"Answer: 7*j**2 + 10*j - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 249 (base 16) to base 12.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9 - -6)*5\/(-3). Suppose -3*l + 3*u = -606, 3*l - y*u - 232 = 382. Calculate the remainder when 21 is divided by l\/(-18)*(0 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5338*g - 15684*g + 382*g to t*g + o and give t.\nAnswer: -20640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g - 2. Let d(s) = 39*s + 27. Let x(p) = -2*d(p) - 27*y(p). Let l = -12 - -14. Let m(a) = 3*a**l - 2*a**2 - 2*a**2. Calculate x(m(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*x - 0*x. Suppose 2*q + 2 = 4*q, x*q = -5*b + 10. Let m = -182.3 - -182. What is the closest to -1 in b, -1\/4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 17*u**2 + 10*u + 99. Let t be m(16). What is the second smallest value in 13\/4, t, 9?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + -2 + 1)*3\/(-18).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -2*h - 108 - 47 + 76, -2*h + 1296 = 52*i for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of -j**4\/4 - 614*j**3 + 3690*j**2 - 7384*j - 4417. Factor u(r).\nAnswer: -(r - 2)**2*(r + 1846)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4 - 30*m**3 - 2946*m**2 - 2914*m.\nAnswer: 2*m*(m - 47)*(m + 1)*(m + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 1, 13570, -1 in decreasing order.\nAnswer: 13570, 4, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28, 212, 708, 1672, 3260, 5628, 8932?\n\"Answer: 26*p**3 + 2*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77 - 19) + -32 - 1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1489\/1044 - -51\/58. Find the common denominator of 107\/28 and w.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 78600149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 150158 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -759*k - 77. Let r(z) = -10*z - 1. What is -616*r(x) + 8*w(x)?\nAnswer: 88*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 215.73946 to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**5 + 0*b**4 + 0*b**4 + b**5 + 17 - 17 + (2*b - 5*b + 5*b)*(0*b**4 - 3*b**4 + 5*b**4) + 4*b**5 + 2*b**5 - b**5 - 12*b**5 - 39*b**4 + 39*b**4.\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*sqrt(78))\/sqrt(6))**2.\nAnswer: 2*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46389906?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 190 and 55?\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-15)*-5*(-1)\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91973563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0.3. Suppose -d - 33 = 7*q - 3*q, -3*d = 5*q + 113. Is y at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2805521, -2805520, -2805515, -2805506, -2805493, -2805476, -2805455?\nAnswer: -2805430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63801.98 millimeters in kilometers?\nAnswer: 0.06380198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11240 = -2152*i + 54765 + 45471 + 5692 for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 515*n*o**2*z - 3*n + 11*o**2 + 10 wrt z?\nAnswer: 515*n*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3572486138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -48*f**2 + 25*f + 11. Let j(o) = 16*o**2 - 9*o - 4. Let h(v) = 11*j(v) + 4*n(v). Let w(x) = -8*x. Calculate h(w(a)).\nAnswer: -1024*a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -47 + 44. Let n = 59 - 63. Let o = n + 4. What is the closest to o in 4, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**5\/45 - 2*s**4\/9 - 14*s**3\/3 - 94*s**2. Factor l(x).\nAnswer: 4*(x - 7)*(x + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**5 - 2*z**5 + 2*z**5 + (-5*z + 5*z - 13*z)*(z**4 + z**4 - z**4).\nAnswer: -15*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 3. Suppose -a*n + 0*n = -30. What is the remainder when 2\/(-6) + (-58)\/(-3) is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96847*k**2 + 140805*k**2 + 41740*k**2 + 45280*k**2.\nAnswer: 324672*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 908, 926, 964, 1028, 1124, 1258, 1436, 1664?\n\"Answer: l**3 + 4*l**2 - l + 904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1377563 is divided by 1655.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25942 is divided by 3705.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-8731.81\nAnswer: -8731.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97 + 121. What is the greatest common divisor of u and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 520 = 540 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14916*y - 10 = -14915*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-75)*145\/87.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -255 - -250. Let q = 6619\/4 - 1668. Let f = q + 161\/12. Which is the nearest to 1\/2? (a) v (b) f (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5193 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 7*t - 3*t - 10, 0 = 3*r + r + 4*t - 48 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 1. What are the prime factors of v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 16*a**2 + 3*a - 45. Let d be c(16). Let y be 1\/2*12\/(-2). Sort 4, y, -2, d.\nAnswer: y, -2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -29*u - 29. Let r be (-437)\/247 + (-4)\/((-468)\/(-27)). What is h(r)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 299789.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/60)\/(((-110)\/12)\/(-11)). Let 8*w + 14\/5*w**3 + 36\/5*w**2 + u*w**4 + 16\/5 = 0. What is w?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 1. Let v(a) = -a**3 + 14*a**2 + 3. Let g be v(14). Let b(d) = -4*d**2 + 2. Calculate g*b(w) - 5*j(w).\nAnswer: -2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185915028 divided by 4767052.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 2*d + 42 = -5*n, -15*d + 134 = -48*n - 11*n - 13*d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90.02000007514 + -90.02. What is c rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -22. Suppose z = -l*z + m + 44, 4 = z - 2*m. What is the remainder when 23 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15712*r**2 - 15744*r**2 + 31457*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1393\/3 - 460. Are 5 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 23*d + 816 = 68*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -5.4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1145*w + 12525*w + 569000 = 0 for w.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/63)\/(2\/9 + 0)*1. What is the smallest value in -1, -0.19, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 s when three letters picked without replacement from ssssfmrswff.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -17*f - f. Let l(x) = -f*x + 61 + 16*x - 10*x - 1. Let u(c) = -2*c. Determine u(l(i)).\nAnswer: 2*i - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 798 and 378.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21131847 and 175824?\nAnswer: 10989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 264*b - 173 + 155 + 1403 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 32172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 1.3. Let q = i + -1. Let m(l) = -4*l**2 - 6*l - 5. Let p be m(-1). What is the third smallest value in -2, q, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w. Let q = 8 - 2. Let d = q + -4. What is the units digit of a(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/11 (b) -1 (c) -1\/5 (d) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 40418800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -205 + 204.86. Let x = -0.24 - r. Let k = -148 + 1925\/13. Which is greater: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k + p = 6, 2*p - 6 = 3*k. Suppose 5*d - 24 = -a, 4*a - 3*d = 2*a - 17. Is a < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*l + 500821 - 60946. Let a = 32771 + l. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Let x(q) = -q**2 - 4*q**u + 4*q**2. Let z(l) be the second derivative of -l**3\/6 + 24*l. Determine x(z(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 6276775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60 - 56. Let y be 4 - 1 - q\/4*1. Suppose -y*a = -8*a + 12. Solve a*v - 7*v = 10 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 15\/509 (b) -4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5736 and 85718306?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 - o**2 - 7*o + 1. Suppose 4*f = 3*f + 5. Is k(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1268*i - 326*i**2 - 338*i + 328*i**2)*(-4 - 13 - 2)*(2 + 0 + 0)*(-1 - 2 + 4) to r*i**2 + z*i + s and give z.\nAnswer: -35340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 10\/9*u**4 + 2\/9*u**5 + 4\/3*u**3 + 0 - 16\/9*u - 8\/9*u**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-160)*((-40)\/6)\/(-4).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, 6, 1017.\nAnswer: -52, 6, 1017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58 + 62. Suppose -10*k = z*k + 126. Sort 2, k, 0.\nAnswer: k, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382303 is divided by 138?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4603 + 1?\nAnswer: -4602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(341\/310)*(45\/6)\/3\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 n when three letters picked without replacement from {n: 10, i: 4, y: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**3\/2 + 8*a**2 - 364*a - 7. Let w(n) = -n - 1. Give p(w(u)).\nAnswer: 3*u + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-9633)*26)\/((-4)\/18*-3)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 3. Suppose 3*n + 47*t = 45*t - 35, 16 = -4*t. Determine a(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 7*z + 2. Let c be h(7). Factor x**2 - x**4 - 7*x + 0*x**4 + 5*x + c*x**3.\nAnswer: -x*(x - 2)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 0.2 (c) 164\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a hour?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence anaq when four letters picked without replacement from {q: 3, b: 1, a: 2, n: 1, s: 2}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 918704?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 40*k + 292. Let y be m(31). Solve -16*t - 3 = -y*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-4) - 7\/(-14). Find the third derivative of 2*n**u + 8*n**3 + n**3 + 4*n**2 - 2*n**3 wrt n.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of 1019*b**3\/6 - 640*b**2 - 4*b - 153. Differentiate q(w) wrt w.\nAnswer: 1019","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (36\/84)\/((-2)\/(-28)) + 1. Let y(m) be the third derivative of -1\/90*m**6 + 0 + 0*m**4 + 0*m**3 + 0*m - 1\/45*m**5 + v*m**2. Factor y(n).\nAnswer: -4*n**2*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -8*a - 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 280 and 224.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 54 - -1303. What are the prime factors of b?\nAnswer: 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1745, 3491, 5237?\n\"Answer: 1746*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 644 = -k - 2*v, -11*k - 1303 = -9*k + v. Let j = -654 - k. Let y be (-13 - 0)\/(0 - 1). Solve j = -4*i - 3 - y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14380812 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*c + 1 - 7*c - 17*c - 1.\nAnswer: 44*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 8:03 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -5101.74571 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 5:05 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 288 - 1710. Let u = a - 199. Find the common denominator of u\/70 - 1\/(-2) and -63\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391352120 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-8) - (-150)\/(-264). Let w = -28 - -27.9. What is the nearest to w in n, 5, 2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 + 5*l + 5. Let t(u) = 3*u**2 - 7*u - 7. Let r(v) = -7*h(v) - 5*t(v). Let c(d) = 81*d**2. What is c(r(f))?\nAnswer: 81*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 10*x**2 + 10*x - 7. Let s be w(-11). Factor -s*z + 2*z - z**2 + 5*z + 0*z**2.\nAnswer: -z*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1556*v + 8587 wrt v?\nAnswer: -1556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 0*h**3 - 5\/8*h**4 - 1\/12*h**5 + 0*h + 11*h**2 + 0. Determine f so that z(f) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.633982501 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3377, 13536, 30475, 54194?\n\"Answer: 3390*c**2 - 11*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 6 = 3*i + 5*m, i = -m + 1. Suppose -n - 988 = -i*c, -c + 0*c - 3*n + 326 = 0. What are the prime factors of c?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 15*m**2 - 16*m + 113. What is b(16)?\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1612*u + 3234*u + 720 = 1604*u for u.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((0 - 1) + 313)\/(33*11\/1089) and 1404?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -359*s + 281. What is n(1)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*w - 1373 = 6881 - 2674 + 19244 for w.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 + 56. Let o = -27.1 + r. Let a = -3.1013 - o. What is a rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -9*v**2 + 5*v + 5. Let g(p) = 5*p**2 - 3*p - 3. Let m(j) = 5*g(j) + 3*w(j). Let y(b) = 2*b**2 + 12. Give y(m(h)).\nAnswer: 8*h**4 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2 + 49*h - 17. Let v(q) = -q + 5. Determine d(m) + 3*v(m).\nAnswer: 3*m**2 + 46*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-165)\/6*(-6)\/(-30)*(-1 - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -1.92. Let b = -0.28 + f. Sort 2, 2\/9, b in ascending order.\nAnswer: b, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 845*a*d**2*z**3 + a*d*z**3 - 2*a*d*z - 4*d**2*z**3 - 11*d**2*z - 5*d*z**2 - 3*z + 2 wrt z.\nAnswer: 5070*a*d**2 + 6*a*d - 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -19439 at most -18894?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -7*k**7\/15 - k**4\/24 + 19*k**3\/3 + 2*k**2 - 8. What is the second derivative of b(j) wrt j?\nAnswer: -1176*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/5*275\/(-110)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 36 = 2*k + 3*x, -4*x + 16 = 0. Let v be 10 - (-10 + (k - 4)). Let t be 18\/4 + (-2)\/(-4). Sort t, -3, v in decreasing order.\nAnswer: v, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/66 + (-29)\/22?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -247.16531 and 4.\nAnswer: -243.16531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8156 = -11*d - 7958 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1131504?\nAnswer: 2, 3, 11, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392 a factor of 1577653459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 3\/9)\/(-1). What is the second smallest value in -3, 3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*1 + -2 + -1*sqrt(6)\/sqrt(3) - (1*sqrt(1134))\/sqrt(7))**2.\nAnswer: 36*sqrt(2) + 166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101213223211 (base 4) in base 10?\nAnswer: 4618981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(85))\/(4*sqrt(80)) - ((-3*sqrt(119))\/sqrt(7) + (2*sqrt(17) - sqrt(17)) + 3 + 2).\nAnswer: -5 + 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 755.306 litres in millilitres?\nAnswer: 755306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33101 (base 4) in base 8?\nAnswer: -1721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -9*g**2 + g - 2. Let j(r) = 47*r**2 - 20*r - 28. Let z(i) = -16*i**2 + 7*i + 10. Let y(x) = -6*j(x) - 17*z(x). What is 5*d(l) - 4*y(l)?\nAnswer: -5*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n + 2. Let p be 3\/((-18)\/2)*-15. Let m(z) = 2*z**2 - 8*z - 5. Let g be m(p). Suppose g*f - 6*f = 2. What is i(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -e23?\nAnswer: e24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 681\/11 - 62. Let y be 3\/4 + 6\/(-2). Let c = 151\/12 + y. What is the common denominator of c and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*((-3)\/2 + 3). Let l = 3242 + -3247. Let a(u) = -3*u**2 + 2*u - 2. Let j(h) = 2*h**2 - h + 1. What is l*j(v) + r*a(v)?\nAnswer: -v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 1. Let z(f) = 6*f + 1512 - 2*f - 3*f**2 - 1513 - 5*f. Calculate -5*i(j) - 2*z(j).\nAnswer: j**2 + 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18, 47, 88, 135, 182, 223, 252, 263?\n\"Answer: -p**3 + 12*p**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2. Let v(p) = 2526*p**2. What is v(g(n))?\nAnswer: 10104*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84999421 is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 899 - 895. Sort 0, g, 56, -5 in increasing order.\nAnswer: -5, 0, g, 56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**2 - 8*y - 92. Let o be f(-6). Let a = 944\/5 + o. Find t, given that -4\/5*t**4 + 0 + 0*t + 8\/5*t**3 - a*t**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 + 2*r**4 - 2*r**4 + (2*r**3 + 2*r**3 - 3*r**3)*(-r + 2*r + r) + 59192 - 59192 + 429*r**4.\nAnswer: 432*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 10:50 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21170 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1520)\/171*6\/(-8)*3. Suppose -30 = 431*c - 437*c. Solve c*w - 4*w + 2 = -s, 0 = s - 5*w + z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -7*c - 1. Let p be a(3). Let g = -16 - p. What is the least common multiple of 18 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 r when four letters picked without replacement from rrrrrmjrrrmryryrmrjp?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1*(2 + -5) - -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -211?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(768))\/sqrt(6)*5)**2.\nAnswer: 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**2 + 80*n + 142485 = 0.\nAnswer: -161, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 16*l**2 - 2*l - 33. Let v be g(-16). Let s be v*(-4 - 55\/(-15)). Let r = -0.4 - 0.6. What is the nearest to r in 5, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1447631.7829901 - 10.\nAnswer: -1447641.7829901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3897669.\nAnswer: 3, 1299223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - 15. Let l = 32 + q. Let s(k) = k**2 + 2*k - 7. What is the lowest common multiple of s(-5) and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -1\/6, 10, 1, 3, 25158?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 0*z**2 - 3*z**2 + 4*z**2 + (-2*z + 0*z - z)*(50544 - 50544 - 69*z).\nAnswer: 208*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - a. Suppose 0 = -2*n - 0 + 4. Suppose -x = -n*t, -7 = 2*t - 1. Let w be j(x). What is w rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5655, 22630, 50927, 90546?\n\"Answer: 5661*t**2 - 8*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**2 + 34*c + 14. Suppose -5*s + 153*m = 156*m - 36, -s = -3*m - 18. Give f(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3410 (base 6) to base 10\nAnswer: -798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1100902016.4 to the nearest 10000.\nAnswer: 1100900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 1:56 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 l when four letters picked without replacement from ggggglgllgllll.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-6) - (-202465325)\/30. Let t = j + -4728844. Round t to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 1. Let m be -2 - (-10 - (-6 + 5)). What is p(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00517812 rounded to 4 decimal places?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 6*y**2 - y - 6. Calculate q(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45251?\nAnswer: 37, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54834364.\nAnswer: 2, 13, 59, 61, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107875214 or 107875216?\nAnswer: 107875214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -3. Let r = o - 2.8. Suppose 0*s + 2*c = 3*s - 13, -5*s = 2*c - 11. Sort s, r, -3 in descending order.\nAnswer: s, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 1\/6*s**3 + 0 + 5*s**2 + 13*s + 1\/20*s**5 + 2\/3*s**4. What is the units digit of u(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -152.547 + 153.8. Round p to two dps.\nAnswer: 1.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + -5 + sqrt(3)*-1))**2.\nAnswer: 90*sqrt(3) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -456 = 5*u + 3*u. Let i = -50 - u. Suppose -3*p = -4*p - i. Let a(r) = r + 5. Determine a(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.906166 to two decimal places.\nAnswer: -0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r + 0 + 1\/2*r**2 + 1\/3*r**3. Let j be i(5). Calculate the highest common divisor of 22 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 16) to base 14\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 171.77 minus 11.4926?\nAnswer: 160.2774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 4*r = -0*u - 4, -4 = 3*u - 2*r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1415101, -1415062, -1414993, -1414888, -1414741, -1414546?\nAnswer: -1414297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.234 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s. Let m(c) = -23*c**2 - 5. Let p(b) = 114*b**2 + 24. Let q(u) = -24*m(u) - 5*p(u). Give f(q(n)).\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 787313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 + z**3 + 0*z**3)*((3 + 2 - 3)*(0*z + z + z) + 2*z + 3*z - 4*z).\nAnswer: 25*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9343 + 3383 = 617*w - 21*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 2*t**3 - 3*t**2)*(-1932 + 1292 - 2795)*(3*t**2 - t**2 - t**2).\nAnswer: 6870*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 179692 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k - 3. Suppose -2*h - 8 - 4 = 0. Let i be (-7)\/((-21)\/h) + -1. Give r(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -177655*y**3 + 6*y**2 + 3*y - 4. Let v be u(-4). Round v to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 110632352 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31005 (base 7) to base 12.\nAnswer: 4453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -94*w**2 - 3563*w + 4353*w - 1266 - 584 + 2*w**3.\nAnswer: 2*(w - 37)*(w - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 29219909 = 67180091. What is p rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 682455, 1364911, 2047367, 2729823, 3412279, 4094735?\nAnswer: 4777191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/3 + (4 - -3). What is the common denominator of (-4)\/r + 4046\/(-420) and -81\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 15*v - 39. Let t be d(13). Let p be 2 - (t + 4)*5. Suppose p*y + 96 = 51*y. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6))\/(-4*15\/27450). Is l less than or equal to 305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -3*i**2\/2 + 4*i - 1. Let p(n) = 4*n + 2. Let b(s) = 11*s + 6. Let l(w) = -5*b(w) + 14*p(w). What is 5*l(q) + 2*u(q)?\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52015273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3\/8, 0.4, -2478 in descending order.\nAnswer: 0.4, -3\/8, -3, -2478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 186549170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -401431 (base 6) to base 13\nAnswer: -1143a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.1833788 and 1837744.\nAnswer: 1837748.1833788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.7 + 2.6. Let g = j + 0.1. Let f = -276113 - -276113. Which is the fourth biggest value? (a) -0.3 (b) g (c) f (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-43)\/((-4300)\/(-360)))\/(2\/5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/7 + (-1450)\/(-350).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.9001 to zero decimal places.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12275.18963 + -12275. What is m rounded to 2 dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, f: 3}. What is prob of sequence ffzz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 3414648?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -64*t**2. Let h(d) = -3*d. Determine h(r(y)).\nAnswer: 192*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 1)*(2 - 1 + 1) - 5 + 4 + 0 + 1 - 2 + 2 - 32 + 107 + 17)*(0*t + t**2 + 0*t).\nAnswer: 94*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*w - 165*w - 12 = 0. Let r be (-4)\/(-11 + 7) + w. Solve -4 = -r*z - 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 18*n**2 - 5*n + 1. Let p(k) = -17*k**2 + 4*k - 2. Let c(o) = -7*i(o) - 6*p(o). Let w be c(-8). Let v = -1128 - w. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165547076 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: What is the eighth root of 5932354 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 36*q**2 + q + 3. Let z be l(3). Suppose y + z = 6*y. Let n = 791\/12 - y. Calculate the common denominator of n and 91\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 23 (b) 2 (c) 0.6 (d) 4 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 0. Suppose 5*u = -b - c, 3*u + 4*b + 0 + 4 = 0. Suppose u = i - 0*i + 4. Put -5, 3, i in decreasing order.\nAnswer: 3, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*p**2 + 2*p + 207*p**2 - 2*p.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23074035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 869439*b**2 + 5216715*b + 7825113.\nAnswer: -3*(b - 289819)*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {x: 7, e: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - (0 + -2))\/((-13 - -30)\/(-34)). Which is the closest to -3.9? (a) 5 (b) z (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 7*g + 10. Let j be h(8). Suppose 4*k - 7 = 3*y, j*y = 3*k - 0*y - 4. What is the remainder when 19 is divided by 1 - 2 - (-14 - k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/507*(-3)\/(-3)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37.179 - 0.221. Let g = x + 40.4. Let l be 2*(-1)\/4 - 0. Which is the closest to 1? (a) l (b) g (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 0. Let f be (-5485)\/1100 + (-15)\/(-3). Let m = f + -5\/44. Is g at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbbqqqquuuqqxxxxqxxx. What is prob of picking 2 u and 2 b?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h + 1. Let f be x(2). Suppose f*y = y. Let s = 36\/17 - 203\/136. Do y and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d + 8*d + 13*d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 10*l**2. Let j(h) = 15*h. Calculate j(w(s)).\nAnswer: 150*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 690*c**3 - 227*c**3 - 252*c**3 - 253*c**3.\nAnswer: -42*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1190*y + 1911*y + 542*y to the form b*y + h and give b.\nAnswer: 3643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -68 - -59. Let o(f) = f**3 + 9*f**2 + f + 6. Let a be o(q). Let d = 47 - a. Calculate the least common multiple of d and 22.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*y. Let x be (1 + 2)*1 + y. Solve x*h - 4*h = 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9.6 + 9.3. Sort -1, j, 18\/17 in descending order.\nAnswer: 18\/17, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z. Let v(b) = 1. Let w(x) = -3*x - 4. Let m(a) = -4*v(a) - w(a). Give m(q(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 5*v - 0*v + 7, 25 = -5*v. Let m be (o\/(-6) - 0)*-4. Let y(d) = -5*d - 3. Let l be y(-3). What is the highest common divisor of l and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -2329.29?\nAnswer: 2334.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*m*w**2 + 5*m*w + 373*w**2 with respect to m.\nAnswer: -7*w**2 + 5*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1238788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7990 and 637602.\nAnswer: 1598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 664 divide 2057736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c + 5938240 - 897400 = 0. What is c rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -296445692 - -296443833.003164. Let u = 1859 + t. Round u to four decimal places.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 5*u + 18*u)*((-3*u + 3*u - 2*u)*(2*u**2 - 4*u**2 + 3*u**2) - u**3 - 2 + 2).\nAnswer: -54*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*a - 6, -133*j + 135*j = -4*a - 20. Solve 0 = -v + 2*x + 3 - 2, v - j = 3*x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2355\/2512)\/(66\/(-44)).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**2 - 6*h + 494. Let z(w) = w**2 + w - 9. Give -g(r) - 6*z(r).\nAnswer: -3*r**2 - 440","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.9 - -10. Let s be -3*((-35)\/9 + 4). What is the third smallest value in u, 2, s, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1619 + -1622. Sort 2, -57, -5, u in descending order.\nAnswer: 2, u, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 + 111 - 51 - 157*f + 97.\nAnswer: 2*f**2 - 157*f + 157","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -429\/280 - 1\/56. Calculate the common denominator of -9\/8 and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 1 + 4. Let f be -4 + 7 + -5 + 2. Suppose -4*l - 15 = -9*l + o, f = -2*o. Solve 18 - l = k*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*t + 9, 4*t - 6 - 1 = 3*g. Let k(w) = 11*w + 10*w + t - 2*w. Is 23 a factor of k(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 11:51 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m**3 - 5*m**2 + 11*m + 12. What is c(5)?\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + (138 - 70) + -53.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.07487 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 742 - 740. Let s = -4.9 - -5. Let y be 1\/(-2)*(-2)\/(-5). Which is the second biggest value? (a) f (b) s (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22884*l**2 + 19166*l.\nAnswer: 45768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-624*(-90)\/960)\/((-4)\/(-16)*2)\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/416 and -79\/30?\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 78868 (base 11) in base 10?\nAnswer: 114177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 - -2.2. Let m = j - 3.0999995. Round m to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 72\/27*(-66)\/(-4). Suppose y = -g + 5*g. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10)*10\/6. Let c = -27.065 + 27. Let y = c + -1.935. Is y less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 2, e: 3, z: 5, h: 1, j: 3}. Give prob of picking 2 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2455 - 3*z**2 - z + 5*z**2 + 0*z**3 - 31*z - z**3 + 2456 as f*z**3 + a*z + n + o*z**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1589\/6 + -5518\/21. Calculate the common denominator of h and 55\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 0 + 5*l + 1\/5*l**2 + 3\/10*l**3 - 1\/12*l**4. Find o, given that g(o) = 0.\nAnswer: -1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(432)*2) + 0 + sqrt(252) + 3 + 0.\nAnswer: 3 + 145*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -48 times 1\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/8)\/(123\/9184*-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 0, -9, 414 in ascending order.\nAnswer: -9, -5, 0, 2, 414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -2\/3, 0.075, -277, 0.1?\nAnswer: -277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvh when three letters picked without replacement from hhhhhhvhhhvhvvvh?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 426402025 times 0.4?\nAnswer: 170560810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 86 = 2*j, -2*i + 7*i = -j + 115. Suppose -i = -7*w + 6*w. What is the remainder when 70 is divided by w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 40 - 1636?\nAnswer: -1596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -3, 17 in descending order.\nAnswer: 17, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/4*250\/9800*-7.\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7*g + 95. Let x be y(-13). Suppose 2*w = l - 21, -x*l - 12 = -6*l - 2*w. Solve 0 = -9*f + l*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -1\/4, -8\/17, -5 in descending order.\nAnswer: -1\/4, -8\/17, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 57796 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 7*z - 14, 9*z - 8 = -5*j + 5*z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 625002 and 7182994.\nAnswer: 495626586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22\/(-5) - 6\/(-15). Let i = b + 16. Suppose -3*a + 36 = 3*s, 5*a + i - 62 = 5*s. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 16274 and 81376\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5620.68 and -5.3?\nAnswer: 5615.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 183587\nAnswer: 550761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15, 60, 135, 240, 375, 540?\n\"Answer: 15*t**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (-4 + sqrt(17))**2 + 1 - sqrt(17))*-6*2 + 1*-2*(sqrt(1377) + -4).\nAnswer: -400 + 78*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2102 (base 6) to base 11.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**2 + 11*x + 61. Let b(d) = 2*d**2 + 5*d + 30. Let g(o) = -9*b(o) + 4*u(o). Let i be 128\/(-24)*(-18)\/8. What is the hundreds digit of g(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2119*l + 341*l - 487*l + 99.\nAnswer: -2265*l + 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.3549 - 2.354901719. Round d to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.935 - -0.065. What is the nearest to -1 in -2\/9, 1, l?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 6*b - 99. Suppose 3*y + p - 143 = 0, p - 6 = -2*p. Let l = y - b. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15647.925 + 15804. What is q rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 176 + -177. What is the biggest value in f, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 606, 702, 780, 834, 858?\n\"Answer: -o**3 - 3*o**2 + 112*o + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 669*u - 1336. Let o be s(2). Solve -x = o*a - 9, -3*x - 3*a - 5 = -23 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 2*u + 1. Let d be j(-3). Let r = -4 - d. Is r equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, m: 2, q: 2}. What is prob of sequence ym?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -256 - -1329. Calculate the remainder when d is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 2*i + 70. Suppose -i*c + 976 = -2*h, 0*h = c + 2*h - 249. What is the highest common factor of 35 and c?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by -131.\nAnswer: -36\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19008 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224) + sqrt(224) + -2*sqrt(224)*3)\/(2*sqrt(16) - sqrt(4) - sqrt(4)))\/(3*sqrt(72)\/(sqrt(9)*2)*2).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 27*a - 9*a - 15*a + 78*a + 7 as z + x*a and give x.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2))**23 assuming t is positive.\nAnswer: t**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 0 - 54\/9. Let h be (149\/2)\/(i\/(-140)). Suppose 0 = 15*b - 17*b + h. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 1:28 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 20 = z, 103*m = 102*m + 3*z - 36 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 16*n**2 + 27*n + 9. Let v be u(17). Suppose 2*s + g = v, -4*s + 2*g + 170 = -2*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 41, 66, 83, 92, 93, 86?\n\"Answer: -4*k**2 + 37*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -11*w**2 - 35*w + 5. Let f(b) = 7*b**2 + 21*b - 5. Let i(t) = 3*f(t) + 2*o(t). Let j(r) = r**2 - 6*r - 4. Let d be j(6). Determine i(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-36)\/(-24))\/(2\/8). Suppose -5*i + 42 = 4*r + l, 4*i + 4 = 5*r. Let u = 1 - -3. Do u and i have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**5\/5 - h**3\/6 - h**2\/2 + 840*h. Determine t(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2107.\nAnswer: 2107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -11, -43, -109, -221?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 67?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19977 + 1098666\/55. Calculate the common denominator of h and 32\/185.\nAnswer: 2035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1020 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 + 0?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**5\/5 - 2236*y**4\/5 + 4484*y**3\/5 - 2244*y**2\/5.\nAnswer: -4*y**2*(y - 1)**2*(y + 561)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*t**5 - t**5 + 3*t**5 + (-27*t + 7 - 7)*(t**4 - t**4 + 5*t**4).\nAnswer: -143*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - x - 10. Let q(b) = -1827*b**3 + 3*b**2 - 246*b - 34. Let s(y) = -3*n(y) + q(y). What is the second derivative of s(g) wrt g?\nAnswer: -10962*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 10) to base 4.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**2 + 8*s + 7. Let h be o(3). Which is the nearest to 0.1? (a) 1.6 (b) h (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20671 + -11647. Is m a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -2\/3 (c) -0.3 (d) 12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 6*l - 15. Suppose -2*y + 3*m = 10 - 5, -5*y = -l*m + 5. What is the second derivative of 2*b**2 - 2*b + 4*b**2 - b**y - 2*b**2 wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*z - 215 + 455 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 11*r**2 - 6. Let m(q) = 10*q**2 - 7. Let c(z) = 6*m(z) - 7*v(z). Let y(s) = -197 + 197 + 14*s - 13*s. What is c(y(u))?\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**4 - 8*h**3\/3 + 2*h**2 + 9. Factor b(n).\nAnswer: 4*n*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001783966 to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 290 + -291.59. Let k = u + 1.5. Let c = -0.31 + k. What is the second smallest value in 0, 0.3, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -16. Let f be (-4)\/(4\/o) - -3. What is the units digit of (-15)\/10 + (-59)\/f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-27 - (14 - 44)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.970165ug in grams?\nAnswer: 0.000001970165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*z**3 - 2 - 14*z**3 + 1663*z**2 - 1663*z**2 as h*z**2 + l*z**3 + d + q*z and give l.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -3 + 0 - (-7 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 v, and 1 d when three letters picked without replacement from cndgvgz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 + -162 - (12075\/635 + 6)?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*a + 5*a - 50, -a = -3*v. Suppose 0 = -a*x + 139 + 2606. List the prime factors of x.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*-2*2\/12. Let k(b) = -b**3 + 17*b**2 - 42*b. Let r be k(14). Solve m = -r*x + x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/5, -0.1, 1.9 in descending order.\nAnswer: 4, 1.9, 2\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - l + 130 = 0. Let j be 4\/l + (-15)\/(-13). Which is the nearest to j? (a) 1\/3 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from {g: 2, p: 2, o: 1, f: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvoyqqsq. What is prob of sequence tq?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2474909, -2474911, -2474913, -2474915, -2474917?\n\"Answer: -2*m - 2474907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -851334 (base 9) to base 11.\nAnswer: -316352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 8. Suppose 0 = 2*v + 3 + f. What is the units digit of (-2)\/v*(18 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59010, -59013, -59018, -59025?\nAnswer: -59034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*i + 141*i - 17 = -3*y, 0 = -4*y + i + 21. Solve -20 = -5*q - y*k, -4*q = 3*k - 16 + 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3\/4, -15\/7, 0.06, -2, -5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108243300.\nAnswer: 2, 3, 5, 11, 32801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84659865?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(9\/4)*g)**14*(g*g**(-21)*g)\/(g\/(g\/(g\/((g*g\/g**(-27))\/g))*g)) assuming g is positive.\nAnswer: g**(109\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*a**2 + 44 - 85 + 41.\nAnswer: -228*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 + a?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14186 = -54*c + 13700 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 589835103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 484 divided by 1?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 1, n: 4, t: 5, w: 3, f: 6}. What is prob of sequence tn?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 1093\nAnswer: 437.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/2 + 7\/14. Let h = t - -2. What is the units digit of (h\/((-4)\/(-120)))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -11*j + 136. What is i(9)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 299*y - 893.\nAnswer: 299","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 921 - 991.99. Let s = z - -71. Which is the third smallest value? (a) -0.4 (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 286.29 to the nearest integer.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 430 and 56618444?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tagsoao. Give prob of picking 1 a and 1 t.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -56735, -56734, -56723, -56696, -56647, -56570, -56459?\n\"Answer: l**3 - l**2 - 3*l - 56732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -4) + (36 + -5 - 50 - (-8 + -16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 168 + -18. Let h(f) = -21*f + 11*f - f**3 + f**2 + 5*f**2 + 12*f + 18. Let j be h(6). Calculate the highest common divisor of d and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/20176 and -27\/32.\nAnswer: 40352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/9759178 and 67\/29277534?\nAnswer: 29277534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 7*f + 8. Let v be p(-6). Suppose -2*x + 6 = -0*x. Find h such that v*h - 2*h**x - 5*h**2 + 5*h**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**10*y\/(y\/((y\/y**(-5\/4))\/y)))\/(y**0\/y*y*y)**44 assuming y is positive.\nAnswer: y**(-131\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-6) - (-14)\/6. Let j(t) = t**3 + 4*t**2 - t + 2. Let f be j(-4). Factor -a*l**2 + f*l**2 - 2*l**2 - 2.\nAnswer: 2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 42 = -0*o. Suppose 0*h + 5*h = -3*a - o, 4*a = h - 11. What is the common denominator of (51 + 4\/h)\/6 and 107\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from seeiiiuieieus. Give prob of sequence iuu.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 15*f + 44. Let u be h(17). Calculate the common denominator of 79\/2 and (-1 + 2416\/88)*(-1)\/u.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.961 nanometers in kilometers?\nAnswer: 0.000000000049961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 500490 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r. Let f(m) = 10*m**2 - m - 1. Let p(i) = f(i) - t(i). Differentiate p(x) wrt x.\nAnswer: 20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104 + 137. Suppose -5*g + 3*w - 124 = -x, -2*g - 40 = -3*w. Is g bigger than -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -1 in descending order.\nAnswer: 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*w - 1144 + 1145 + 34*w - 13*w to the form m*w + q and give m.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4614 - 390c9?\nAnswer: -347b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 123, 174, 221, 270, 327?\nAnswer: 398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 - 6*k + 7. Let m(q) = q - 1. Suppose -11*a + 3 = -8*a. Let o = -9 - -15. Determine a*b(x) + o*m(x).\nAnswer: 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10441 - -20862. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**3\/9 - 16006*p**2\/3 - 143892*p = 0?\nAnswer: -23982, -27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9429787\/90 - 104774. Find the common denominator of -131\/246 and m.\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 142 = 2*v, 0 = -4*v - 5*w - 381 + 97. Let u = 136 + v. What is the highest common divisor of 65 and u?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1100000110?\nAnswer: -1100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226258, -447084, -667910, -888736, -1109562, -1330388?\nAnswer: -1551214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 4*m + 104, 2*y + 3*m = -67 - 8. Calculate the common denominator of (-2 - 71\/y)*-262 and (-4)\/22*(-388)\/(-16).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 1 + (-2301 - -2290).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/30)\/(4 + 1 + 0)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7153*q = -7095*q - 116. Let c(b) = b**2 - 2*b + 4. Let u be c(3). Let p be 2\/u + 38\/14. Solve p*v - 2*z = q*z - 6, -v - 5*z = -17 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 89936.07 minutes?\nAnswer: 5396164200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -136294\/3 less than or equal to -45432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c - 6. Let h = 0 - -11. Let g = -11 + h. Suppose f = t - 1, 4*t + g*f + f - 24 = 0. Determine x(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 6*y**2\/11 + 4872*y\/11 - 6350400\/11 = 0.\nAnswer: -1512, 700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 71083\/130230 + -2\/1447. Find the common denominator of 61\/63 and d.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u. Let a(g) = -g**3 + 37*g**2 - 36*g + 76. Let q be a(36). Let y(k) = q*k**2 - 137*k**2 + 68*k**2. Calculate y(x(h)).\nAnswer: 28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528708136?\nAnswer: 2, 11, 19, 316213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -3251248?\nAnswer: -13004992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 4\/23040545?\nAnswer: 4\/23040545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**5\/60 + 5*d**4\/24 + d**3 + 20*d**2. Let i be o(-4). Suppose 4*c = 3*c + 2*z + 53, -2*z - 104 = -i*c. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((5 - (-3 + -3 + 7)) + 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3987 + 6018. What are the prime factors of g?\nAnswer: 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 167.109 + -156.95. Let l = -111.1 - -101. Let w = p + l. What is w rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -1. Find the first derivative of -q**2 + 3*q - 1 - 7*q + o*q wrt q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93356 rounded to the nearest 1000?\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 9:32 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 3. Let z be d(-1). Put z, 0.3, 23 in decreasing order.\nAnswer: 23, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -184.\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-259.600723.\nAnswer: 103.8402892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*q - 0*q. Suppose -5*p + 0*r + 3*r = 123, q = 5*p + r + 139. Let d = -20 - p. Calculate the lowest common multiple of d and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/11)*o*o\/o**(-1)*((o\/((o*(o*(o\/(o*o*o**6*o))\/o*o)\/o)\/o))\/o)\/o**(3\/2)*(o\/((o\/o**0)\/o))**(3\/7)\/(o*o\/(o\/(o**(1\/4)\/o)*o))**11 assuming o is positive.\nAnswer: o**(5655\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 divided by 5?\nAnswer: 89\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {m: 5, p: 9}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 192 + -180. Solve 115*x - p = 111*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(7) - sqrt(343)) - (sqrt(19) + (sqrt(19) - (-5 + sqrt(19) + -3)) - sqrt(19))**2.\nAnswer: -64 - sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-4) - (-1 + -1). Solve 4*g - w = 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1450112245.\nAnswer: 5, 290022449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -60*(36\/20 + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14851?\nAnswer: 14851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 751023834*u**3 - 1502047583*u**3 + 751023748*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9582508 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35\/32, 0.5, -9715 in descending order.\nAnswer: 35\/32, 0.5, -9715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 2*u - 1. Let r(b) = -b**2 + 9*b - 7. Let p(d) = -5*c(d) + r(d). What are the prime factors of p(-8)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -4*b - 17, -5*b + 9 = -y + 33 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -24*b + 3. Let y(h) = -49*h + 7. Determine -14*q(z) + 6*y(z).\nAnswer: 42*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2278, -2280, -2320, -2416, -2586, -2848, -3220, -3720?\nAnswer: -4366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1133175 divided by 226635.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*z = -49, 5*m + 9*z - 49 = 7*z. Solve -m*w = -16*w + 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -459500 rounded to the nearest ten thousand?\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 80 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9182105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p**2 - 10*p + 8. Let r(c) = c**2 + 2*c - 1. Determine -m(l) - 6*r(l).\nAnswer: -l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 98\/5273823?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - p = -497, 0*c - 826 = -5*c - 4*p. Is 31 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 8:35 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1527\/5 + 1524\/5*c + 3\/5*c**2.\nAnswer: 3*(c - 1)*(c + 509)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l + 3. Let k(q) = 28*q + 2. Suppose 126 = o + 8*o. Let h(t) = 78*t + 6. Let b(i) = o*k(i) - 5*h(i). Give 9*b(r) + 4*x(r).\nAnswer: 2*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p + 10. Let j(v) = v + 2. Let w(z) = d(z) + 4*j(z). Let a be w(15). Solve -a*g + 3 = 6 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of 1\/72*h**4 - 10*h + 1\/6*h**2 + 0 - 1\/12*h**3. Let d(z) = 0. Calculate z.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s. Let i(j) be the second derivative of -5*j**3 + j**2 + 132*j. Determine i(f(u)).\nAnswer: -60*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24069*y = 24090*y + 273 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*6\/(-54) - (-2)\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*h - 3*t, -3*t + 0 = -4*h - 4. Let n be 0*h*(-2)\/(-6). Suppose 0 = 2*p - 3*p + 2. Sort 4, p, n in decreasing order.\nAnswer: 4, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 906728284 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -631?\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20643 divided by 21?\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 118*h - 128*h + 27062*h**2 - 27279*h**2 in the form k*h**2 + c*h + t and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/3)\/(-4))\/((-325358)\/21219)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 bigger than -1696?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66378811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 242256*w**2 - 199147?\nAnswer: 484512*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -210, -124, 0.3, 1?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 14 = -0*w. What is the remainder when -2 + 0 + 2*1092\/24 is divided by -2*23*w\/14?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/6)\/((-76)\/57)*204\/(-4641).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 22*a + 2*a + 2*a. Do a and -924 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 8)*(0 - y**2 + 0) - 8 - 8 + 4*y**2 + 0.\nAnswer: -y**2 - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3\/2 (b) 181 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 2*n - 5. Let p be s(-5). Let v be 84\/35*180\/108. Solve 4*q - 10 = -q - v*j, 5*q + j = p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.081 - -4.181. Let g = -4 + p. Let u = -4 + 2. Is g greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdq when three letters picked without replacement from owfdoodwfwowqww.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2494 and -1114048547?\nAnswer: 1114051041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -29 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 74 - -123) + -3 + 4 + -3 + 3.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 22 - 6*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5724 + 9013. Calculate the highest common divisor of h and 286.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 divided by 5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (5 - 12) + 5 - 12\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9062, -9063, -9064, -9065, -9066?\nAnswer: -9067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 35946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**3\/2 + 183*w**2\/2 + 348*w + 342 = 0.\nAnswer: -57, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkkkkpkpkkkkkkkkkkkk.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 761256483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 376 = -7*b. Suppose -49 = -j - b. Suppose 4*r = -3*t + 375, -r + 54 = -j*t - 54. Calculate the greatest common divisor of 64 and r.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 97*w + 1165. Let s be a(-83). Solve -2*c + 2*l = -6, 0 = 17*c - 16*c - 2*l - s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3207\/110 - -615\/22. Let c(v) = -v**2 + 5*v - 6. Let m be c(4). Which is smaller: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*t + 432 = 66*t. Let v(x) = -2*x + 15. What is v(t)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*k - 3*k + 38 = 0, -17 = x - k. Let n be (3 - x\/(-6))*-24. Find v, given that -21*v + 0*v**2 + 6*v + 6 - 3*v**3 + n*v**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0 = -6. Let o be 3\/12 - (-7)\/4. Suppose 0*c + 24 = 4*c + t, o*t = -i*c + 18. Solve 6*d + 11 = c*h + 2*d, -3*h + d = -8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least -227\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-385)\/(-20) + (-2)\/8. Suppose -2*u + 5*u - y = -h, -u + h + 5 = 0. Let g(z) be the third derivative of -z**4\/24 + 5*z**3\/3 - 16*z**2. Give g(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from wywwyyywwywyy?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + 5626675?\nAnswer: 5626684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 5. Let a(t) be the third derivative of -5*t**4\/24 + 13*t**3\/3 - 219*t**2. Give -2*a(b) - 11*q(b).\nAnswer: -b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5733686?\nAnswer: 2, 7, 41, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l + 1. Let v(o) = -26*o + 16. Calculate -4*n(k) - v(k).\nAnswer: 2*k - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 1 - 6 = 0. Let h be (n\/(-3)*-2)\/2. Suppose -3*j - 14 = -2*d, 4*j + 3*d - 2 = -j. Which is the closest to j? (a) h (b) -0.2 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 2*q = -5*w - 17, -4*q = -2*w + 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-27)*i\/i**(-2\/21)*i assuming i is positive.\nAnswer: i**(-523\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 23*t + 24*t + 19*t - 70*t + 69. Is p(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*r + 51 - 14. Let s be (52 - -12) + ((-7)\/r - 3). Calculate the greatest common factor of s and 238.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7910, 6031, 2898, -1489, -7130?\n\"Answer: -627*o**2 + 2*o + 8535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**25\/s*s)\/s)\/s**26)\/(s\/(s**(-9)*s)*s**(2\/45)\/s) assuming s is positive.\nAnswer: s**(-452\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/194 or 1523?\nAnswer: 1523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**5 - 309*d**4 + 50*d**2 - 2*d wrt d?\nAnswer: 120*d**2 - 7416*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41364 - 136?\nAnswer: 41225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36579.\nAnswer: 3, 89, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*l + 37*l**3 - 15*l + 417*l**3.\nAnswer: 454*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m - 13. Let h be k(-9). Let r be (-4)\/((-4)\/3) + 1. Suppose r*b + l = 97, -h*b + l = -37 - 91. Calculate the greatest common divisor of b and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 - -21?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*s + 5*t, -3*s + 13 = -t - 4. Let l = 0 - s. Is -7 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173, -1240, -3019, -5510?\nAnswer: -8713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/(sqrt(24)\/sqrt(3)*6))\/(-6*(2*(sqrt(96) - sqrt(6)) - sqrt(6) - sqrt(6))))**2.\nAnswer: 1\/6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*a - 43 = -0*x, 3*x + 3*a = 117. What is the highest common factor of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7298 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 t, and 1 q when four letters picked without replacement from {t: 4, q: 1, n: 6}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 360305 - 3?\nAnswer: 360302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -196 - -211. Suppose -f*p - 3336 = -19*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*g + 225 = 0, 0 = -5*q + 5*g + 509 + 1. Solve 0 = -14*d - 21*d - q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 215824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 a factor of 113985024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -9.98. Let s = 3.02 + p. Let x = -32\/15 - -23\/10. Which is smaller: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 0.3078?\nAnswer: -0.6156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1 - 1) + -558 + 554?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 137232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.94 - -12. Let c = 4.94 + p. What is the second smallest value in 0.4, c, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 2. Let j be s(4). Suppose -3*k = v + j*v - 60, 3*k = 3*v + 36. Suppose -10 + 58 = 4*n. What is the lowest common multiple of k and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*g + 14 = -145*g - 2*k, -3*g = -5*k + 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/42)\/(1\/(-44)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + b = -25, -3*v - 96 = 5*b - 22 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-8)*1386\/441\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 9:13 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - ((-13 - -5 - (-2 + -1)) + 8).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 118, 959, 3296, 7879, 15458, 26783?\n\"Answer: 125*w**3 - 2*w**2 - 28*w + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m = -16*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 18 - (7 - 1 - 16).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**2 - 8*c - 6. Let l(b) = -8*b**2 + 16*b + 10. Let k(v) = -3*l(v) - 5*o(v). Factor k(a).\nAnswer: 4*a*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) 15 (b) 1.2 (c) -11090\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.7 + 3.8. Put q, -4, 1\/3 in increasing order.\nAnswer: -4, q, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 931*k**6\/120 - 217*k**5\/30 + 5*k**4\/6 + 4*k**3\/3 + 384*k**2. Factor y(g).\nAnswer: (7*g - 2)**2*(19*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6487\/64870)\/(((-2)\/(-3))\/(((-4)\/5)\/(-2))).\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/(-4))\/((-63)\/(-108)). Let f(r) = -25*r + 161. Let z be f(m). What is the greatest common factor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5043\/(-3) + -4 - (1 - -1). What is the units digit of -6*(2 + 0)*p\/28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -10*f**3 - 7*f**2 + 59*f - 308. Let a(v) = 9*v**3 + 6*v**2 - 51*v + 306. Determine 7*a(c) + 6*b(c).\nAnswer: 3*c**3 - 3*c + 294","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 4*i - 448, 2*v + 4*i - 236 = -i. What is the greatest common factor of v and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*s)*(-4*s**2 + 4*s**2 - s**4) - 3*s**5 - 78484 + 3*s + 78484 + 0*s**5 - 2*s**5 + 0*s**5 + (-3 + 3 - s**3)*(4*s**2 + s**2 - 3*s**2).\nAnswer: -9*s**5 + 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*r + 2323 = 32*r for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4 - 4200*c**3 + 16735*c**2 - 12540*c.\nAnswer: 5*c*(c - 836)*(c - 3)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -5*j + 19, -2*y - 1 = 5. Let p be 37\/7 - (-4)\/(-14). What is the second derivative of -3*x**p - 2*x**j + 2*x + 3*x**5 - 10*x**5 wrt x?\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82 times -937.81\nAnswer: -76900.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 22*k**2 + k**3 + 6*k**2 - k**2 + 4*k + 127 + 3*k**2. What is the remainder when 49 is divided by u(-30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45714789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 21260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2105 + 29*w**3 - w + 1711 - w.\nAnswer: 29*w**3 - 2*w + 3816","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 944 divided by -118?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 461 a factor of 1820376060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.98075447 to 3 decimal places.\nAnswer: -19.981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 2:07 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)\/(sqrt(125)*1))**2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 3*t**2 - 6*t - 4. Let b be l(-4). Let c(r) = -r + 4. Let j be c(b). Sort j, 2, 1.\nAnswer: j, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-7 + -4 + (-2 - -7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 31*u = 46. Let x = 8 - 10. Let l = x - -6. Put l, -12, 0, u in increasing order.\nAnswer: -12, 0, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59695\/2 - -29848. Suppose 3*m - 6 = -5*h - 18, -2*h = 3*m + 3. Let y = -0.09 + -0.01. Which is the third biggest value? (a) m (b) g (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 552*l - 51337. Give v(93).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-12)\/114 - 0\/((-84)\/14)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 12 = 2*m. Solve 4*f - 4 = m*o, -5*o - f + 16 = 2*f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -11.1?\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 7:07 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/221 less than or equal to 273\/824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t*t*((t\/t**(3\/10))\/t)\/t*t)\/t)\/t)\/(t\/(t*t\/(t*t**15))))\/(t*t*t**(-10)*t**(2\/5)))**(1\/54) assuming t is positive.\nAnswer: t**(-77\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3700 divided by 10.\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/6 and -103\/1276.\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3 - (-1 - 9))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11737*(-4)\/9)\/((-2)\/(-3)). Let v = 7742 - i. Let z = v - -82. Which is the closest to z? (a) -1\/9 (b) -5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29\/5 + 53\/10. Let n = -2 - -1. Let h be 1\/3 + 10\/(-66). What is the closest to n in g, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v - 26. Let t be p(13). Let r = 2 - t. Suppose -72 = -r*a - a - 4*m, -2*a = -5*m - 48. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (124*v**2 - 291*v**2 - 497*v**2)*(0 + 1 + 1)*(4*v**3 - 5*v**3 - v**3).\nAnswer: 2656*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1531 divide 59001678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 9*h - 8. Let r be n(-8). Let i = r - -19. Suppose -i*c + p + 0*p + 19 = 0, -4*p = 3*c - 44. 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 2098646 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5549065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - w + 668 = -5*c, 1676 = 5*c + w. Let b be 1\/(34\/c + (-10)\/70). Sort b, -3, 7, 0 in descending order.\nAnswer: 7, 0, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((11*v - 4*v + 3*v)*(2*v - 3*v + 3*v) - 3*v**2 + 0*v**2 + v**2)*(-2 + 0 + 0)*(4 - v**2 - 4).\nAnswer: 36*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 2. Suppose 3*v + 15 = -2*t, -2*t + 2*v = -2*v + 22. Let f be t\/(-6) - 2\/(-4). Solve f = x - m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 21*l**2 + l - 10. Let w be -20*((-4 - (-31)\/4) + -4). What are the prime factors of j(w)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -36967142, -147868564, -332704266, -591474248, -924178510, -1330817052?\n\"Answer: -36967140*f**2 - 2*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8662712 to the power of 1\/2, to the nearest integer?\nAnswer: 2943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 6. Let r be f(-6). Suppose y + 2*y + 618 = r. Is 72\/(-28) - 9\/21 - y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1673085683 rounded to four dps?\nAnswer: 0.1673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 4*d + 22 = 11*b, 5*b = -d + 13. Sort b, 3, -2 in increasing order.\nAnswer: -2, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 4*g - 556, -966 + 208 = -4*a - 2*g. What is the lowest common multiple of 192 and a?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1564500 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(66) + sqrt(66))*5)\/sqrt(6)*-4 - 6*((sqrt(704) - (-4 + sqrt(704))) + 5)) + -5)**2.\nAnswer: 3481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 9 = 2*g. Find the third derivative of j - 3*j**3 + g*j**2 - j wrt j.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.097 + 74.941?\nAnswer: 72.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -1151*p. Let r(w) = 173*w. Determine r(x(q)).\nAnswer: -199123*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -118\/9, -2261, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 269400 - -648023. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**7\/315 + j**6\/30 - 4*j**5\/45 - 251*j**2\/2 + 35*j. Let w(z) be the first derivative of l(z). Factor w(y).\nAnswer: -2*y**2*(y - 4)*(y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22205.24968 rounded to the nearest 100?\nAnswer: 22200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -96, -171, -284, -441, -648, -911?\nAnswer: -1236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + 124. Does 30 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31 - 8?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*o - 57 = 0, -2*i - 4*o = -6*i - 120. Let v(p) = -p + 4. Let s be v(4). What are the prime factors of s*1\/(-3) - i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - -3 - (7 + -1 + 33).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*y = -34*y - 23238. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1394, 1398, 1402, 1406?\nAnswer: 1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51838556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/21 and -1\/34374.\nAnswer: 240618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 27, 0.5?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 7*t = 0. Suppose n + x = 20, 5*n + x - 58 - 38 = t. Suppose -n*q = -23*q - 40. Let z(a) = -a**3 - 9*a**2 + 8*a - 13. Determine z(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/5 - 4179*n**2\/5 - 8361*n\/5 - 4181\/5.\nAnswer: (n - 4181)*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 9. What is x(9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*sqrt(57)\/sqrt(3).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*d - 38*d = 175. Suppose 0 = 8*b - 3*b - d. Suppose -p + 133 = 3*a, b*a + 7*p = 4*p + 219. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 + -39. Let x(o) = 3*o + 59. Let z be x(-16). Suppose -u - 2*p = 0, -6*u + z = -u - p. Which is the nearest to q? (a) 1 (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5 = 0, -4*m - 4*i - 16 = -40. Sort 3, -3, m.\nAnswer: -3, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/9 - 74*h\/9 + 52\/3.\nAnswer: -2*(h - 2)*(h + 39)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**5 - 2170*w**4 - 909855*w**3 - 49525180*w**2 - 96329500*w - 47712000 = 0. What is w?\nAnswer: -210, -64, -1, 710","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**3 + j**2 - 3*j + 1. Let s be b(1). Suppose 0 = -7*r + 2*r. Let d = r - 1. Put 5, s, d in decreasing order.\nAnswer: 5, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4050 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 + 74 + -89 + 29.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00034013443 to seven decimal places.\nAnswer: 0.0003401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -4, -2, 134.\nAnswer: -4, -2, 14, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, p: 2}. Give prob of sequence pk.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3661 - -4018. What is the lowest common multiple of 476 and p?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - l + 3, 26*l - 17 = 4*n + 21*l. Let u(q) be the second derivative of 1 - 1\/90*q**5 - 44*q + 0*q**3 - 1\/54*q**4 + 0*q**n. Factor u(z).\nAnswer: -2*z**2*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -117. Calculate the remainder when v is divided by ((-265)\/2)\/(295 + -290)*-2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -9*x + 6. Let m(z) = z**2 - 13*z + 6*z + 6*z**2 + x*z. Give m(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 2*i - 5. Let y(k) be the second derivative of k**5\/4 - 3*k**3\/2 - 21*k**2\/2 - 632*k. What is -9*g(d) + 2*y(d)?\nAnswer: d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/228952 and 99\/57238.\nAnswer: 228952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + s - 17 = 3*s, s = 2*v - 10. Suppose -d + 132 = v*d. What is the common denominator of d and 33\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 9 - (-2 - -7). Suppose -r + 3 = l + l, -l = 2*r + 3. Let s be ((-6)\/8)\/(l\/5). Which is smaller: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19099926 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -0.1 (c) -1\/24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38506 divided by -26.\nAnswer: 1481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 17, 1, 1\/3, 8 in ascending order.\nAnswer: 0.3, 1\/3, 1, 8, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2810, -2809, -2808, -2807, -2806, -2805?\nAnswer: -2804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25078, 25063, 25048, 25033, 25018?\nAnswer: 25003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c9d3 (base 14) to base 10.\nAnswer: -34877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 18203558.\nAnswer: -18203558.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101414 - 1?\nAnswer: -101420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -4 (c) 0.076\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j + 5 = -23 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - -2*(sqrt(78) + sqrt(78)*1 - sqrt(78)))\/(1*sqrt(6)*-6))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2119\/42 - -366\/7. Let y = a + -2. Let r = 383.5 - 384. What is the second biggest value in y, 0.4, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 226 and 42940.\nAnswer: 42940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1790492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52476*s**2 + 104951*s**2 - 24 - 181 - 52470*s**2.\nAnswer: 5*s**2 - 205","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 739064358 to the nearest integer?\nAnswer: 27186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5373844 is divided by 235?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - -3 - 4 - (8 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134 (base 6) to base 10.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x**(-1\/2)*x)))**(-20)*(x**(-3\/4))**(18\/13) assuming x is positive.\nAnswer: x**(-807\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -17161*i**2. Let j(z) = 6*z**2 + 2. What is j(u(f))?\nAnswer: 1766999526*f**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1244 - 661. Let h = -1213\/2 + v. Calculate the common denominator of -87\/4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -762194957.3 and 77.\nAnswer: -762194880.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 - 110. Let g = x + 38. Let z be (1 - -2 - g)*2 - -112. Calculate the greatest common factor of 38 and z.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 0*n + 2*n + (2 + 0 - 4)*(n + 2*n - n) - 6*n - 2*n + 3*n + 0*n - n + 3*n)*(-2 + 0 + 1 + (-4 + 1 + 2)*(3 - 2 + 0))*(3 + 4 - 2).\nAnswer: 50*n - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, t: 2, r: 2}. What is prob of sequence trrt?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -117 + 33. Let x be 0 + 0 - 3 - m\/14. List the prime factors of (-3 - x)\/(2\/(-346)).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 208*l + 13. Let i be z(-2). Let r = i + 633. Calculate the least common multiple of r and 22.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 17*t + 15. Let i be a(17). Let z(f) = 14*f - 44. Does 38 divide z(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-3))\/(840\/(-1440)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x. Let s(q) be the second derivative of -1\/12*q**4 - 11\/6*q**3 + 0*q**2 + 0 - 47*q. Determine s(a(n)).\nAnswer: -4*n**2 + 22*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 613\/3 in 0.7, 3, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17\/4 - -4. Let q = -1 + -2. Let y = -101308 + 101313. Which is the fourth smallest value? (a) y (b) k (c) q (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-907)\/(4\/(-84)*3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*g = 4*k - 111*g - 9, -34 = 2*k - 4*g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 15. Let x be (3 - 0) + 24\/(-10). Which is the second biggest value? (a) x (b) o (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u + 9. Let m(y) = -3*y - 8. Let i(j) = -5*m(j) - 4*s(j). Let n be -3*4*4\/(-24). Give i(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 51*y - 3. Let v be s(-1). Is v != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**6\/180 + k**5\/120 - k**4\/8 - 7*k**3\/6 + 10*k. Let c(j) be the second derivative of l(j). Determine c(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, u: 2, b: 1, f: 4, c: 1, s: 2}. What is prob of sequence bc?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 62. Suppose -7 = 3*g - c - 23, 4*g - 4*c - a = 0. Put g, -2, 13 in increasing order.\nAnswer: -2, g, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2766515976 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -78552 and -3.\nAnswer: 235656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -84118.4 and -313.5?\nAnswer: 83804.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28227 - -16844. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1154459.1 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 10:03 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 5*p + 6. Suppose 11*u + 5 = 16*u. What is the remainder when (-1 + 3)\/u*8 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -20*h**3 + 76*h**2 + 916*h + 180 = 0.\nAnswer: -5, -1\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((-20)\/(-6)))\/(20454\/545440).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -1313*u**6\/120 - 817*u**5\/20 + 75*u**2. What is the third derivative of d(q) wrt q?\nAnswer: -7878","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 542, 1111, 1680, 2249?\n\"Answer: 569*l - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156888 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**5 - 40170*d**4 + 80641185*d**3 + 162045760*d**2 - 1209377820*d - 2905978320 = 0. Calculate d.\nAnswer: -3, 4, 4018","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 2074?\nAnswer: -4148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -954b0d (base 14) to base 5\nAnswer: -2242430031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 230016 + -111787721\/486. Calculate the common denominator of -25\/18 and o.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 15, -12, 2 in descending order.\nAnswer: 15, 2, -1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + 1530013?\nAnswer: 1530031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**2 + j**2 + 2*j**2)*(671*j**2 + 1119*j**2 + 4349*j**2 + 1222*j**2) to s*j**2 + a*j + w*j**3 + l*j**4 + x and give l.\nAnswer: 7361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 minus 0.02044?\nAnswer: -222.02044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3616 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**2. Let q(t) = 6*t**2 + 8*t**2 - 2*t**2. Give q(z(w)).\nAnswer: 48*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 13*c**2 + 6*c - 1. Determine j(-13).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**(-2\/37))*t**(2\/13)*t assuming t is positive.\nAnswer: t**(581\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 4*z + 5*z)*(25*z + 40*z - 33*z) + 5*z**2 - 4*z**2 - 3*z**2.\nAnswer: 30*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 5*h - 3*y + 26, 5*h + 14 = -3*y. Sort 0.1, 2\/15, h.\nAnswer: h, 0.1, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 383870 from 439304.\nAnswer: 55434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 0.4, -0.2, 18?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*o + 21 = 0, -8*o + 5 = -3*o. Suppose 21*p - 27508 = g*p - 3*h, 3*p - 4*h = 41245. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*g**2 - 6*g**2 + 4*g**2 + 12*g**2.\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 361, 728, 1093, 1456, 1817, 2176?\nAnswer: 2533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*4\/(16\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 6 = -2*h, 4*h - 5*f - 130 = -145 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 5*l**2 + 2. Give w(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/2)\/j)\/j)\/((j*j**4)\/j))**39 assuming j is positive.\nAnswer: j**(-429\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 471666, 471665, 471664?\n\"Answer: -y + 471667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46247717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/7 or 29336520?\nAnswer: 29336520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 884.5768ng in kilograms?\nAnswer: 0.0000000008845768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 2*r - 3. Let k be a(-2). Let h(q) = -q - 1. Let g be h(k). Suppose -6 = p + 2*p. Sort g, -5, p in decreasing order.\nAnswer: g, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6130500 a multiple of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*a - 26968 - 26975 - 26975 + 80918 - 12*a.\nAnswer: 77*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 15, 0.5, 0.02?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 4:36 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4 = 0, k + 28*h - 24*h = 67. Let d be 10\/k*(-2)\/(2\/3). Sort 0.1, d, 1\/6, 2 in decreasing order.\nAnswer: 2, 1\/6, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39216 - -39218. Let j = 38\/75 + 4\/25. Factor 0*i**l - j*i**4 + 4\/3*i - 4\/3*i**3 + 2\/3.\nAnswer: -2*(i - 1)*(i + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(30\/(-225))\/((-3)\/10)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -136, -102, -32, 74?\nAnswer: 216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 0.5. Let r = 8.6 + -8. Let q = r - 0.2. Which is the third biggest value? (a) t (b) q (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventy-six fifths of a century?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0, 40, 1\/13240, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -453*f**2 + 112*f**2 + 113*f**2 + 394*f + 117*f**2 + 113*f**2.\nAnswer: 2*f*(f + 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0081 in 0.1, -2\/19, 3, 8, 4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 + 38*c + 168. Let d be z(-4). What are the prime factors of 1686\/(d\/(-17 + 9))?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 m when three letters picked without replacement from hhmmhqqhhhhhqqhhhmhh.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 528465 or 528910?\nAnswer: 528465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5488534*b**2 - 8915342*b?\nAnswer: -10977068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.5, -24, 0, -2, 1\/11, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 k when three letters picked without replacement from {v: 2, u: 1, a: 4, s: 4, k: 9}?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.45 and 185050.\nAnswer: 185050.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 67?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -162109657, -324219312, -486328967, -648438622?\n\"Answer: -162109655*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 15*u**2 + 18*u - 15. Calculate b(14).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 17*v + 1. Let f(g) = 9*g + 1. Let b(z) = z**2 - 14*z + 26. Let p be b(11). Let d(a) = p*f(a) + 4*i(a). Let m(t) = 10*t - 5. Give 5*d(w) - 3*m(w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfaeeafpsafsesspfp. What is prob of sequence es?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 303.8031 litres?\nAnswer: 303803.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -v - 10, -v + 54 = 5*d - 4*v. Let b be ((-8)\/d)\/(4\/(-18)). Solve -l - 5*i + 8 = 0, b*l + 4*i - 16 = 7*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, m: 1, a: 5, q: 1, i: 1}. Give prob of picking 1 m, 2 z, and 1 q.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**3\/10 + 552971*n**2\/5 + 3317807*n\/10 - 1105939 = 0.\nAnswer: -1105939, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 12*b + 5*l = 283, 0 = -5*b - 2*l + 341. Suppose -61*w - 144 = -b*w. Suppose w = 8*a - 2*a. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 130c30?\nAnswer: 130c37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -11. Let m = k - 22. Let g = m - -9. What is the nearest to 0 in -2, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16425746.\nAnswer: 2, 8212873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28821.\nAnswer: 3, 13, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/6*(-141)\/(-188).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, v: 2}. Give prob of picking 1 p and 2 v.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2913815785.8 - 0.3\nAnswer: 2913815785.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o - 6 + 81*o**3 - 2*o**2 + 25 - 10 - 11 to the form z + y*o + g*o**2 + h*o**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(228) - (sqrt(228) - (-2*sqrt(228) + sqrt(228)))*2))\/(sqrt(24)\/((sqrt(6)*1)\/sqrt(3))).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 - 163*n + 2912. Determine b(55).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6 + 1)*8\/(-20))\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9 - ((-9)\/3)\/3. Let d = -42 - o. Let w be d\/(-96) + (-4)\/6. What is the smallest value in 2\/7, w, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6671 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444 = -41*q + 1264. Suppose 0 = 6*r - 14*r - 176. Let g = r + 26. What is the greatest common divisor of g and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 61 = 23. Let c be 7 + (-1 - (21803 - a)). Round c to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3499.437 to the nearest 100.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -16*l - 4. Let x be v(-4). Suppose -4*q = q - x. Calculate the remainder when 8 + -4 - (0 - (51 - 9)) is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6090981 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3 + 21. Suppose -b = -2*h - 3*k, -h + 7 = -5*h - k. What is the tens digit of -2 - 3\/h - -13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**3*j**2 - 3*d**3*j + 2152*d**3 - 33*d**2*j**2 - 12*d**2*j - 92*j**2 wrt d?\nAnswer: 12*j**2 - 18*j + 12912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140 and 2130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 61.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 5:22 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2419658 by -2419658.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -36, -34, -32, -30, -28, -26?\n\"Answer: 2*a - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -6*x**2 - 15*x + 9. Let c be z(-3). Which is bigger: -16\/43 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/17 (b) -2 (c) -0.3 (d) -2\/11 (e) -273222 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 54033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102559 is divided by 34183.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 1021031?\nAnswer: 1021101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 913647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 + 81. Let o = q + -31. Let b = o - 8.5. Sort 2, b, -5 in decreasing order.\nAnswer: 2, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80 - (-61 - (42 - 172))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 316\/614995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(432))**2*5 + (4*((sqrt(9)\/sqrt(3))**2 + sqrt(3) + sqrt(3)) - sqrt(3))*-1 + -4 + 1.\nAnswer: -7*sqrt(3) + 8625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 2485928.\nAnswer: 994371.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/10)*f\/(f\/(f**(-1\/18)*f*f))*(f*f**(-2\/9)*f)\/f**7)**(2\/9) assuming f is positive.\nAnswer: f**(-304\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -449*b + 136. Calculate the remainder when r(-7) is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 54d + -3?\nAnswer: 54a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**4\/30 + 14*q**3\/15 + 49*q**2\/5 - 34*q. Factor o(z).\nAnswer: 2*(z + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/7 + 46\/14. Let r = 27 - 22. Solve 3*c - r*f - 48 + 16 = 0, c + m*f = -8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 3*b**2 - 2*b - 3. Let w be h(-3). Sort 4, w, 1, -2 in ascending order.\nAnswer: -2, 1, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609728.49 minutes in days?\nAnswer: 423.4225625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*n + 3 + 37 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -237 (base 13) in base 3?\nAnswer: -112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-2)\/t)*t**5)**(2\/17))**(-20\/3) assuming t is positive.\nAnswer: t**(-120\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -7673\nAnswer: -38365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*o - 1191 = 4132 + 14270 for o.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phjpp. What is prob of sequence jh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 6. Let j(h) = 2 - 3 + i*h + 2. List the prime factors of j(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12438244895 + 12438244503.999998525. Let m = q - -391. Round m to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + d - 4 = -d, 2 = 3*o + d. Suppose x = -3*g - 9, -4*x + 4*g + 4 + 24 = o. Let c(r) = r**2 - 2*r - 2. Let b be c(x). Is b greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 10*k**2 + 33*k + 19. Give y(-4).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -10*t. Let u(n) = -n. Let r(l) = 6*l. Let a(g) = r(g) + 3*u(g). What is a(d(x))?\nAnswer: -30*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-26)\/156)\/((-1)\/12). Does 5 divide (n\/(-5))\/((-357)\/(-90) - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(63)*-2)\/sqrt(9) + (sqrt(112) + -4)**2).\nAnswer: -512 + 136*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20094696 by 279.\nAnswer: 72024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**4\/4 - 5*b**3\/3 + b**2 + 5*b - 16. Determine c(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 159764 or -75?\nAnswer: 159764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 620 = 5*g, -8*g + 4*o = -1585 + 589. Calculate the remainder when 234 is divided by g.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 811 take away 39975175?\nAnswer: -39974364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185638910.\nAnswer: 2, 5, 67, 277073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14052*k - 591463 - 95753 + 33004 = 849352 for k.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*((sqrt(700) + sqrt(700) + sqrt(700) + 3 + sqrt(700) + -2 - sqrt(700))*-6 - 4*(sqrt(700) + sqrt(700)*2*-6)))**2.\nAnswer: -78000*sqrt(7) + 11830897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t**3\/2 - 39*t**2\/2 - 3*t + 12 = 0. What is t?\nAnswer: -4, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -c - 3*c + t, 0 = 3*c - 3*t - 9 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 13 = -3*w - 23, -5*q = w - 84. Solve 3*a - q*p + 14*p - 7 = 0, -2*a - 5*p = -20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**2 - 23*l + 11. Let t(a) = -a**2 - 8*a + 4. Determine 6*b(o) - 17*t(o).\nAnswer: -o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25*25\/1875*22*144\/(-8)?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -161, -174, -195, -224?\n\"Answer: -4*b**2 - b - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1000*y**5 - 2*y + 23*y**2 + 45*y**2 + y**2 + 492*y**4 - 492*y**4 wrt y?\nAnswer: 60000*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 4*w + 22 = -11*h, -4*h + 3*w - 18 = 0. Sort 8, 3, h in ascending order.\nAnswer: h, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07 + -2.93. Let d be (-8)\/((-8)\/1) - (-39)\/(-19). Let x = d + 338\/285. What is the closest to g in 0.6, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2. Let l be (6\/4)\/((-3)\/(-12)). Let z(k) = 26*k - l*k**2 - 26*k. Determine b(z(h)).\nAnswer: 36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -10272230 bigger than -10272230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-430))\/(2*(-2)\/20)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kuuk when four letters picked without replacement from uukkuuukkyuy?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 1. Let r be g(3). Suppose -67 = -4*w + 17. Let f be -1 + 54\/w + r. Which is the third smallest value? (a) f (b) -1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5}. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 16*a**2 + 3*a - 35. Calculate v(16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.124*49681.\nAnswer: -6160.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, -0.02, -2\/5, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 0*f - 2*f)*(1 - 3 - 3)*(2 - 1 - 2 + (4 - 4 + 3)*(0 - 3 + 5) + 0 + 4 - 1 - 19 + 3 + 2 - 2 - 1 + 1) in the form p*f + o and give p.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/5205 - 21853\/20820. Find the common denominator of (-13)\/(-8) + 0\/(-5) and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-5)\/(-15)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16832300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6460*s + 6468*s - 5*k + 172, k = 4 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 912 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 64070\/129*42\/(-1225)?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 12 = -3*z, n - 2*n = 3*z - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -0.02, 2\/13 in descending order.\nAnswer: 2\/13, 0.06, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 34*t + 3. Let k be ((-2)\/(-3))\/((-8)\/48). Let x be m(k). Let f = x - -216. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -496 - -497. What is the second biggest value in 27, 2\/5, 5, 0.3, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1136, -8, 3 in increasing order.\nAnswer: -8, 0.1136, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555801 is divided by 996.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.65 + 1.05. What is the nearest to 0.1 in 3\/25, -4, a?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -596\/21 - -86\/3. Let f = -0.17 + 0.17. What is the closest to f in v, -1, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 153, 3, -29805?\nAnswer: -29805","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2966*i + 36475. What are the prime factors of y(0)?\nAnswer: 5, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g*g\/g**(1\/4)))\/g**(4\/5)*g**(-4\/3)\/g**(-2\/9)*g*g**(-7)*g\/((g**(2\/3)*g)\/g)*(g*g\/g**(-2)*g)**(-35) assuming g is positive.\nAnswer: g**(-32819\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(44)\/sqrt(11)) + -2.\nAnswer: -2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000 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: List the prime factors of 7353677193.\nAnswer: 3, 1181, 2075551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - 21. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**2 - 320*p + 632 = 0. What is p?\nAnswer: 2, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*o + o. Suppose o + 12 = -3*b + 4*s, b = -4*s + 22. Find the third derivative of -b*l**2 + 2*l**2 + 2*l**5 - 2*l**2 wrt l.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/28)\/((592\/(-1184))\/(((-4)\/(-51))\/(-1)))?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -24201541?\nAnswer: 24201541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r - 7 = -11*r. Calculate the remainder when r\/((-3305)\/825 - (-7 - -3)) is divided by 47.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*u + 0*u = 0. What are the prime factors of (u + -1 + 2)*19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.85666 rounded to 1 dp?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 10 = -4*j, 0*f + 5*f = -2*j - 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/378*-3*6\/12.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 1 - 6*q - 3*q)*(0*q**4 - q**4 - q**4).\nAnswer: 12*q**5 - 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1 (b) -2\/17 (c) -2\/69 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18145 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yd when two letters picked without replacement from {y: 8, d: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*p*p*p**(1\/2))\/p*(p\/(p*p**(-5)))\/p)**(-26)*(p**(-2\/13)*p**(1\/4)*p)**(-40) assuming p is positive.\nAnswer: p**(-3105\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(9*12\/54).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2811432 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65.00001 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -13 + -33 - -1.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -1\/20*g**5 - 2*g**2 - 1\/2*g**4 - 11\/6*g**3 - 14*g + 0. List the prime factors of l(-7).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and -87.\nAnswer: 52.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 6*v + 12. Calculate the remainder when 204 is divided by l(-4).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -22. What is the second smallest value in -3, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9727 divided by -1.\nAnswer: 9727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 23683?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*r**2 + 3*r**4 + r - 5*r**4 - r to the form z*r**2 + u*r**4 + c*r**3 + h + m*r and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*s - 1 + 54*s - 27*s.\nAnswer: 59*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s - 2*k = -373006, 2*s - 745997 = k. Round s to the nearest ten thousand.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*d + d**3 - 2 - 75*d - 4 + 2*d**2 to i*d + l + h*d**3 + y*d**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 + -12126515?\nAnswer: -12126546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 8. Let h be u(-4). Suppose -5*s + 5*m = -25, -2*s - 4*m = -3*s - 1. Solve 3*v + h - s = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210\/(-28)*(-2)\/10\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1523 + 7617\/5. Let u = -0.5 + 0.1. What is the fourth biggest value in 5, u, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -16, -7, -0.5.\nAnswer: -16, -7, -0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3767, 0, -56, 2, -1 in ascending order.\nAnswer: -3767, -56, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, s: 4, e: 2, n: 2, j: 1}. What is prob of picking 1 c, 1 e, and 1 n?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 21 - 418*h**2 + 21 - 97 + 25 + 27.\nAnswer: -418*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t + 9 - 19 + 9 - t**2. Determine a(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*(-1*sqrt(91))\/sqrt(7) - (0 + -6*sqrt(39)\/sqrt(3))).\nAnswer: 4 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 20 = 3*l. Let w = -142\/21 + 38\/7. Which is the second smallest value? (a) 3 (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z**2 - 11*z**2 + 9 + 3*z**2 + (2 - 4 + 1)*(-25*z**2 - 194*z + 194*z) - 13*z**2 - z**2 - 4*z**2 as o + u*z + w*z**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 10*n + 26. Let h be p(5). Suppose 0*k = -5*k + 3*r + h, 2*r + 6 = -2*k. Which is the nearest to -1\/2? (a) 2\/5 (b) -0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 470, 3, -2, -3, 39, -5 in descending order.\nAnswer: 470, 39, 6, 3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllggg. What is prob of picking 2 g?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1097 is divided by 40.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3222?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 + -108.8. Let g = n + 14.8. What is the nearest to g in -5, -1, -0.063?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 - 2*l**2)*(-11 - 11 + 4).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 49428, 197707, 444838, 790821, 1235656?\n\"Answer: 49426*s**2 + s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.075525cm in kilometers?\nAnswer: 0.00009075525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 24 - 37)*(4*y + 4*y**2 - 4*y + (-5*y**2 + 3*y**2 + 4*y**2)*(1 + 0 - 3) + 3*y**2 - y**2 - y**2 + 3*y**2 - 3*y**2 - 2*y**2).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23321527 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8626*u + 8599*u = 3105. Is -103 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + m - 2. Suppose -3 = -3*d + 3. Suppose 4*p - d = -10. What is y(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-5)\/j))**(9\/2)*j**(1\/55)\/(j**(1\/4)*j) assuming j is positive.\nAnswer: j**(6659\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 - 2 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81788065\/6 or 13631345?\nAnswer: 81788065\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2280, 2323, 2384, 2463, 2560?\nAnswer: 2675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/6 and -26\/195442635.\nAnswer: 390885270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ees when three letters picked without replacement from {s: 3, e: 17}.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205026913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19158392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 30 = r. Let f(s) = 11 - s - 6 + r*s. Calculate f(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdddsddsdd. Give prob of picking 1 d and 1 s.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8*b + 6. Let m be -9 + (19 - -6) + -9. Let g(u) = 11*u + 9. Let o(y) = m*f(y) - 5*g(y). Determine o(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -562\/5 - -112. Let k = 213 - 212.8. Put k, m, 0.15 in descending order.\nAnswer: k, 0.15, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -6, -3 in increasing order.\nAnswer: -6, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 9*j + 57. Let g(q) = q**3 + 7*q**2 + 8*q + 5. Let w be g(-6). Let z(k) = 5*k + 29. Let r(v) = w*z(v) + 4*p(v). Is r(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -8*s - 52 + 21 + 30 + 29*s. What is h(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 27, 62, 113, 186, 287, 422?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 + 33. Suppose -w + 13 = 2*g. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -640 + 965. List the prime factors of t.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1381601 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 105264 = 2*s, -p + 3*p + 210524 = -2*s. What is the remainder when 6\/22 + p\/(-1045) is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 21*q**3 - 2*q**2 + 10*q - 562. What is the first derivative of b(a) wrt a?\nAnswer: 126*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 273*h*j*w - h*j - 12*h*w - 16*j*w - 3242*w wrt h?\nAnswer: 273*j*w - j - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -49.5656 and 122.\nAnswer: 72.4344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70 (base 8) to base 13.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/5179 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-55) - 1775\/22. Let n = 83 + m. Which is the biggest value? (a) 0.1 (b) n (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 5684514?\nAnswer: 5684514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbmbbmmmbbmb. What is prob of sequence bbm?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 10:13 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -5, 138\/5, -3\/8, -8\/5 in increasing order.\nAnswer: -5, -8\/5, -0.4, -3\/8, 138\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 + 4 = -5*b, -10 = 2*d + b. Let h be -12 - (-3 - 7) - (1 + d). Solve -4*a + 11 = -3*w - h*a, -5*w + 3*a - 25 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 2*r + 5*s, -2*r = 2*s - 43 - 37. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -222*a**2*y - 7*a**2 - 2*a*y + 10337*y with respect to a.\nAnswer: -444*a*y - 14*a - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/9 + 5\/(-18). Let h = 3.2 + -3.262. Let r = h + -0.038. What is the closest to l in 2\/5, r, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1619*n = -117864 - 13275 for n.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*a = 22, -26 + 2 = -3*b + 3*a. Suppose -b*r + 609 = -261. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12719, 25428, 38139, 50852, 63567, 76284?\nAnswer: 89003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**5\/60 + b**2\/2 - 1. Let f(k) be the second derivative of j(k). Let r(a) = -19*a - 2*a**2 + 19*a. Give r(f(s)).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15599, 15603, 15617, 15647, 15699, 15779?\n\"Answer: w**3 - w**2 + 15599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 96 - 4?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101000011101001 (base 2) in base 7?\nAnswer: -506312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2*x - 2 = -2*d, x = 4*d + 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 59.266592 from -1.6.\nAnswer: -60.866592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1026\/399)\/(18\/3)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -46970.18 - -0.1044432\nAnswer: -46970.0755568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*3 + 2 - -1. Suppose n*s = -s + 4. Suppose 2*x - 24 = -3*w, 2*w = -3*x + s*w + 10. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52177.\nAnswer: 52177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-350))\/(-26 - 10944\/(-420)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 877207439*d**6 - 4*d**2 - 20201055?\nAnswer: 105264892680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3. Let m(p) = -p + 24. Let g = -76 - -33. Let a(d) = -d**2 - d + 5. Let v be a(-9). Let w = v - g. Give w*q(n) - 3*m(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 4.9. Let g = 3.1 + m. What is the nearest to 0 in -0.2, g, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v*v**(-3)\/v))\/v)*v**(-5)*(v\/(v*v**(2\/3)))\/(v\/v**(5\/3)))\/((v*v**(-3)*v*v)\/v**(1\/5)*(v*(v\/(v*v**1\/v*v)*v*v)\/v)**(-4\/15)) assuming v is positive.\nAnswer: v**(-98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 275 and 83380.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*b + j - 16690, -3*b - 12550 = 5*j. Let l = -2018 - b. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r - 3. Let p be b(-2). Let i = 0 + p. Let d be 25*2\/(i - 3). Solve s - d = -4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21119*g = -21095*g - 1272 for g.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*o - 5*o + 14*o)*(o**3 - 2*o**3 + 0*o**3) + (4*o + 10*o + 0*o)*(-o**3 - o**3 + 3*o**3) to the form r*o + m*o**2 + g*o**4 + a + x*o**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.24072 rounded to 3 decimal places?\nAnswer: -0.241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(3*x + 0 + 0) - 246 - 420 - 3*x - 1225 + 498 + 4*x as d + p*x and give d.\nAnswer: -1393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 3*o + 16. What is the lowest common multiple of 12 and p(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*b + 3*w - 40, -5*b - 44 = 3*w. Let o = b - -16. Suppose -2 = -4*u + o. What is the second biggest value in u, -5, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -6*u**6\/5 - 33*u**2\/2 + 3*u - 22. Let c(z) be the first derivative of f(z). Find the first derivative of c(q) wrt q.\nAnswer: -144*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6377 + -6376.9999992703. What is h rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0439 and -60.\nAnswer: -2.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -29.93. Let t = 12.53 + s. Round t to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 314, 139, -36, -211?\n\"Answer: -175*y + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 103 = 2*n, -124 = n + n - 4*u. Let p be -3*n\/(-36)*-3. Let i = -9 + p. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*b + 50 = 0, 2*b - 61 = 5*n + 3*b. Let x be n\/(-36) - (-98)\/(-6). Let d = -20 - x. Let u(h) = 2*h - 2. Determine u(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -736*d*r - 39*r - 3 with respect to d.\nAnswer: -736*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 264*q**3 - 342*q**2 + 1. Let z(k) = -k**3 - k**2 - 1. Let p(h) = w(h) + 3*z(h). Find the third derivative of p(m) wrt m.\nAnswer: 1566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.8 - 0.709.\nAnswer: 3.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*z**5 - 162*z**4 - z**3 - 152574*z**2 wrt z.\nAnswer: 300*z**2 - 3888*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/(-15))\/((-20)\/(900\/9))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -64, -24, -2, 6\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**6\/15 - h**2 + 2*h - 1. Let t(l) be the first derivative of j(l). Find the first derivative of t(m) wrt m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4200 divided by -1050?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21 + 871\/(-39))*24\/(-11). Factor 2\/11*l**4 + 48\/11*l**2 - 64\/11*l + w - 16\/11*l**3.\nAnswer: 2*(l - 2)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnrpcpp. What is prob of sequence crrp?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 17116.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 4799353?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7081571?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21256\/10 + 2\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.5844375ms?\nAnswer: 0.00000016234375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {d: 13, k: 5}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7990*f**2*l**4*w + 39*f**2*l**2*w - 74*f**2*l*w - 3*l**6 + w wrt l.\nAnswer: -191760*f**2*l*w - 360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 19\/20*d**5 - 55*d**2 + 0*d + 4\/3*d**3 - 1\/6*d**4 + 0. What is the second derivative of u(c) wrt c?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 259501 (base 10) to base 15.\nAnswer: 51d51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -478830 to the nearest 1000.\nAnswer: -479000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*r - 42*r - 715214 = 7*o, 4*r + 5*o - 2860823 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 + -7)*4\/2. Suppose -b = k*w + 137, 0 = -4*b - 3*w - w - 556. Let t = -135 - b. Solve 4*m + 11 + 0 = -5*d, 3*m = -3*d - t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*j - 2176, 3*t + 3*j = 4*t + 544. Let l be (-4)\/(-6) + t\/(-3). What is the first derivative of -8*o**4 - l - 3*o**4 + 181 wrt o?\nAnswer: -44*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 4 - 1, 0 = g + 5*n - 16. Suppose 0*t = g*t - 605. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -84 (b) 1\/5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1016+-0.04\nAnswer: -1016.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a**2 + 2*a**2 + 2*a - 2*a. Suppose 15*i + 65 = 20*i. Let t(c) = 10*c**2 - 13*c + i*c. Give w(t(n)).\nAnswer: -200*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*u = 4*i - 18, -5*i + 30 = 5*u. Suppose -3*n + 0*n + 33 = -4*o, -i*o - 12 = 2*n. Let v be (o\/5)\/(4\/10). Put -2, -4, v in decreasing order.\nAnswer: -2, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262055879591 + 1?\nAnswer: -262055879590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126 - -129. Let h(f) be the first derivative of 0*f**5 + 2\/9*f**k - 5 - 2\/3*f + 1\/2*f**2 + 1\/18*f**6 - 1\/3*f**4. Let h(w) = 0. What is w?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6\/181, -9.5, 4, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4)\/m*m**(-1))\/(m\/((m*m**(-1))\/m))**(5\/8))**(-3) assuming m is positive.\nAnswer: m**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -92128, -184305, -276578, -368995, -461604, -554453, -647590?\n\"Answer: -8*r**3 - 92121*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, z: 6, m: 2, i: 2, p: 2}. Give prob of sequence imti.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 6:29 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (5 - 8) + 1 - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1290198 and 111061.\nAnswer: 2363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 401*b + 42 = 387*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -125628 greater than or equal to -125628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35 + -11639?\nAnswer: -11604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -173 + 85. Let v = -21 - j. Let z = 33 - v. What is the smallest value in -0.2, -5\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 77*r**2 - 851*r - 102. Calculate g(-10).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 2166?\nAnswer: -7\/2166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of 85*x**5\/12 + 133*x**4\/24 - x**3\/6 - 2*x**2 - 52. Find the second derivative of a(p) wrt p.\nAnswer: 850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -15. Let w be 3\/(i\/(-12)) - 1. What is the first derivative of -3 + 1 - 2*y**3 + w wrt y?\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/(-81) + (-99)\/(-405). What is the smallest value in h, 0.3, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-672)\/(-384))\/(101\/(-4) - -23)\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (-11)\/11*(-1 + 1). Let w be k + 8 + (4 - 8). Suppose 0*u + 5*l = -w*u - 333000, -3*l = 3*u + 333000. Round u to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 318 - 316. Suppose 0 = -r - f*t + 28, 3*r + 2*t - 3*t - 84 = 0. What is the remainder when r is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 8*r**2 + 3*r + 44. What is the remainder when 1902 is divided by d(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 32, 47, 56, 53, 32?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 17*d + 3. Let n(v) = -6*v - 1. Give 4*f(k) + 11*n(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -154 + -20. Calculate the common denominator of m*(39\/12 + -3) and 15\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87889.\nAnswer: 179, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 1. Determine n(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1600.052 - 1610. What is z rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7623058?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -m - 14, 2*k - m - 3 = 5. Solve k - 1 = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f - 210 = 91*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 1:33 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -798*o*z**3 + 59*o*z**2 + 1112324*o wrt z.\nAnswer: -2394*o*z**2 + 118*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46881.411 or 0.04?\nAnswer: -46881.411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 380 in 4, -422, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 102, 100, 98, 96, 94, 92?\n\"Answer: -2*v + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/1942860 and -25\/192.\nAnswer: 31085760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 + 126 = 13*x. What is the least common multiple of x and 58?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 0. Let u = 22 - 22.3. Which is the nearest to 1\/4? (a) u (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -741252120 divided by -370626060.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2104\/15 not equal to -8570?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 425*b**4 - 156*b**4 - 173*b**4 - b**3 - b**2 - b**2 + 3 in the form f*b**4 + w*b**3 + a + i*b**2 + p*b and give f.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 9*t**2 - 2052*t + 4070. What is h(226)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*n - 31 = -8, -n = -2*v + 35. Suppose j - v = -5*u, 4*u - 5*j + 3 = 24. Let s(f) = 2*f. Let p be s(5). Solve 0 = -u*g + 2*g + p for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y - 3. Let n(h) = 5*h - 4 + 3 - 4*h + 2. What is j(l) + 4*n(l)?\nAnswer: 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 271372600?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5)**(5\/9) assuming k is positive.\nAnswer: k**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(77)*2)\/(5*sqrt(99)) + -5)**2*-2*-2.\nAnswer: -16*sqrt(7) + 2612\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 9*x - 4. Let v be p(6). Suppose 0 = -19*h + v*h + 40. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 4\/3*w**3 + 0*w**4 + 3\/2*w**2 + 0*w**5 - 5\/6*w**6 - 22 - 5*w. Find the second derivative of v(o) wrt o.\nAnswer: -100*o**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + (-56 + -29 - -59)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqqqvqqqqvqvv. Give prob of picking 3 q and 1 v.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 - 164*p**2 + 870*p.\nAnswer: -2*p*(p - 5)*(p + 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Let n = 1302 - 923. Let m = n - 382. Put -0.1, m, -5, y in increasing order.\nAnswer: -5, m, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-41)\/7 - (-3)\/(-21). Let h be ((-2)\/(-2))\/(4 + (-111)\/27). Let i be f\/h*(-9)\/6. Which is smaller: 3\/8 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 12. Let z = -125\/6 + h. Let p = -703.9 - -706.9. What is the nearest to -2 in -0.2, z, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 2 (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x + 2*x - 31 + 21 + 2*x**2 - 5*x. What is the tens digit of t(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - x. Let u(j) = 93*j**2 + 124*j. Let d(k) = -124*c(k) - u(k). Let v(i) = -5*i. What is d(v(z))?\nAnswer: 775*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 575 - 396. Let z = 159.7 - j. What is z rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6*v**2. Suppose 0 = -y - 3*y + 8. Let j(c) = -14 + 14 - c**y. Calculate j(d(a)).\nAnswer: -36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*((-5)\/(-2) + 24\/16). Put -8, g, -1, 1 in ascending order.\nAnswer: -8, -1, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(sqrt(10)*3 + sqrt(10) - sqrt(10)) + sqrt(19) + -2 + 0.\nAnswer: -2 + 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68422 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 0*z + 0*z + (-2 + 2 - z)*(-1778 - 360 - 370) in the form r + v*z and give v.\nAnswer: 2506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21675 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 6 + 31. Let a(y) = y**2 + y - 1. Let p be a(j). Suppose 4*o + p = 5*o. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 233 - 235 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/301)\/((-179)\/1253)\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5685936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from occcmkmmcmkqomommcco. What is prob of picking 1 m and 1 c?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((90\/63)\/(-10))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 8*l**2 + 11*l - 22. Determine g(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 15*y + 5. Let b be a(-3). Let l be (-16)\/b + (-11)\/15. Which is bigger: l or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 3 - 4 - -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one halves of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Suppose g = 4*c - 2*c - 106. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 - b**2 + 29*b**2)*(-137*b + 8*b**3 + 137*b).\nAnswer: 192*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100469*s**4 + 68*s**2 + 1477*s?\nAnswer: -2411256*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -107.59 + 108. Let z = -4.59 - k. Which is the second biggest value? (a) 1\/3 (b) -0.4 (c) z (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-6)\/2 - 187. Let o = h - -101. Let z be 4\/14 + o\/(-49). Solve 0 = -b + 2*f + 4, -f = z*f + 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*n**3 - 10*n**3 - n - 2336*n**2 + 1060 - 1061 - 1964*n**2 in the form z + a*n + w*n**2 + d*n**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.022 - 2.022. Let x = -76\/369 - 2\/123. What is the closest to -0.5 in k, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 4. Let z = -12 + 7. Let t be m(z). Let p = -379 - -2649\/7. Put t, p, 5 in decreasing order.\nAnswer: 5, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-12) - 2\/(-8). Let t = -129 + 115. Which is the closest to -0.1? (a) x (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8240, -8142, -7884, -7388, -6576?\n\"Answer: 13*i**3 + 2*i**2 + i - 8256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51519 and 1495?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 764, -2, 2, 8 in descending order.\nAnswer: 764, 8, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 1. Let r be s(-5). Suppose 0*p - 5*p + 3*m + 126 = 0, 5*p = -r*m + 147. What is the remainder when p is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003004221231 rounded to seven dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**2 - 4*y. Let w(r) = -4*r**2 - 5*r. Let j(s) = -5*i(s) + 4*w(s). Let f(v) be the second derivative of -v**3\/2 + 17*v. Calculate j(f(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-210)*-7)\/((-2)\/(-3)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 107*a**3*v**2 + 3*a**3 + 5*a**2*v**2 - 49*a**2 wrt a.\nAnswer: 642*v**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 6:35 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8\/((-16)\/12 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9.43 in -0.3, -5, -13, -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1982*n**3*q**2 - 1045*n**3 + 4913*n*q**4 - 31100*n with respect to q.\nAnswer: -3964*n**3*q + 19652*n*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15019 and 322.\nAnswer: 210266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*i + 13 = 0, 1 = 2*r - 5*i - 4. Let l = -126 - -129. What is the nearest to 2\/5 in -2\/9, l, r?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 7\/745?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**(-1\/3))**3\/(g**(4\/3)\/g*g**(-5\/2)\/g)*((g**(-2))**9)**(-47\/2) assuming g is positive.\nAnswer: g**(2605\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 828445483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g**2 - 25*g. Let l(j) = -j**2 + 5*j. Let i(f) = -11*l(f) - 2*s(f). What is the second derivative of i(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15972 + -16009.2. What is the second biggest value in f, -2\/21, -4\/3, 3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11600 divided by -2320\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)\/(sqrt(4)*3) - (-1 + sqrt(19) + 2))*-2 + 2)**2.\nAnswer: 32*sqrt(19)\/3 + 448\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l**3 + 4*l**2 - l. Let b(m) = -3*m**3 + 4*m**2 - 2*m + 1. Let z(r) = -3*b(r) + 2*o(r). Determine z(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 121 and 55?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k = 185. Let a be 4\/26 - k\/(-13). Let g(l) = 9*l - 4. What are the prime factors of g(a)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 187 + 315. Suppose -4*w = -2*s - n, -3*s + 3 = 3*w - 396. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*(-3)\/180*-21*(-265)\/(-1378).\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(468)*-1)*6)**2 + -2*(5*-1*sqrt(1053))**2.\nAnswer: -35226 + 1728*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 30 - (-4 - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 123\/5, 350?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(77) + sqrt(77)*-1))\/(3*sqrt(704) - sqrt(704) - sqrt(704))*-6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k**(5\/3))\/k)*k*k**(-16)\/k*k)**20 assuming k is positive.\nAnswer: k**(-940\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1391 + 1409.73. Round q to zero dps.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (238*q**3 - 634*q**3 + 296*q**3)*(-14*q - 37*q + 5*q).\nAnswer: 4600*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78188 and 12?\nAnswer: 234564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7712*r = -6391*r + 51519 for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 8, 6*t - a + 14 = 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4644 + 2318 + 2862 + 3695*u wrt u.\nAnswer: 3695","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 149 - 151. What is the closest to -49 in 1\/4, y, 0.03, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 115731636\nAnswer: 34719490.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3 - 215444*d**2 - 11604029284*d = 0 for d.\nAnswer: -107722, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + v = -10, -5*h - 10 = -2*h - 2*v. Let x be 2\/(-4)*(h + 8). Let b be (-3)\/x*28\/21. Solve -n + 5 = -2*l, -6*l + 20 = b*n - l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 0 - 3\/2*a**3 + 3\/4*a**4 + 3\/2*a**2 + 122*a - 3\/20*a**5. Factor n(i).\nAnswer: -3*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 505 divide 13954160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-12)\/(-4))\/(9\/141)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*45\/(-12)*(-2)\/5. Suppose -948 = -z*s + 2220. List the prime factors of s.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.25 + -0.05. Let j = -75\/58 + -6\/29. Let n = 0.202 - 3.202. What is the closest to j in -2, n, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46a4b (base 12) in base 6?\nAnswer: 2010535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k + 840 = -0*k - k. What is the smallest common multiple of k and 536?\nAnswer: 3752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.057517 rounded to 4 dps?\nAnswer: 0.0575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1270018511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-91) - 1092\/676?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + 21\/6 + (-6)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*x + 150*x. What is the closest to x in 0.2, -4, -10, 5\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 13*j**2 + 2. Let o(c) = c**2. What is o(h(d))?\nAnswer: 169*d**4 + 52*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1051071 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 1. Let q(x) = 3*x - 3. Let u(l) = -l**3 - 22*l**2 - 23*l - 43. Let y be u(-21). Calculate y*q(c) + 5*a(c).\nAnswer: 2*c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -862 - -860. Let u be (2 - 2)\/3 + (-2)\/3. What is the closest to u in 1, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(104)*-2)\/(-1*sqrt(16)\/sqrt(2)))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51877729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.79 - 1. Let y = -0.01 - f. What is the closest to -0.1 in 4, -1\/11, y?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7275 + -7274.95272. Round k to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 0*h - 15 = 0. Suppose -h*v - 27 = -0*v. Let s be (-728)\/6 + 6\/v. What is s rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, f: 3, c: 2, h: 1, l: 1, b: 3}. What is prob of picking 1 h and 1 b?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnj when three letters picked without replacement from {j: 2, a: 1, n: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 6 + (-195355)\/(-30) + 91\/78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9, r: 9}. What is prob of sequence rlll?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -242*z**4 - 286000*z**3 + 338292*z**2 - 54416*z + 2366 = 0. What is z?\nAnswer: -1183, 1\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o + 5*o**4 + 2*o**3 - 2*o**4 + 0*o + o**2 to s*o**4 + n*o**3 + d*o + q*o**2 + f and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j**3 - j - 2*j**3)*(55 - 55 - 141*j**2).\nAnswer: 141*j**5 + 282*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22886680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -396 divided by -36\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36.09 + -34.1. Let i = h - -0.01. Let c = -64 - -62. Sort c, 1, i in decreasing order.\nAnswer: i, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.55 times 916\nAnswer: -1419.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/35))\/i*i\/(i\/(i\/i**25)))**(-43) assuming i is positive.\nAnswer: i**(36206\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*x**2 - 21*x**2 + 139*x**2 + 71*x**2.\nAnswer: 240*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k - 12. What is t(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-2))\/((155\/93)\/((-344)\/(-24)))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.141 - -0.859. What is the smallest value in 5, 0, 3, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-3)*1 + (-116)\/60. Which is the fourth smallest value? (a) -5 (b) n (c) -16\/9 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40036 (base 12) to base 5.\nAnswer: -10123421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a hour?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97610363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 87*x - 5. Let c(q) = 44*q - 3. What is -5*c(f) + 3*z(f)?\nAnswer: 41*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4*(-4 - -2). Let y be -11 + 8 + (-13)\/(-24). Let g = y + 19\/8. Which is bigger: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111111 (base 2) to base 11\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (-7 - 6) + -20?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 + 21*w + 4. Let h(o) = -5*o**2 + 62*o + 12. What is -8*a(c) + 3*h(c)?\nAnswer: c**2 + 18*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-7) + 1 + 6\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17\/5313 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4 + 5)*(-15 - 10*j + 10 + 4)*(63*j**2 + 58*j**2 + 157*j**2) in the form m*j**2 + z + k*j + o*j**3 and give m.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 5*o**2 - 5*o - 3. Let h be f(6). Factor -1 + 0*x**2 + 1 - h*x**2 + 2*x.\nAnswer: -x*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txtefke. Give prob of picking 1 e, 1 t, and 1 k.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 8 = 2, -61 = -k - 5*f. Solve -k = -r - 18*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/39812 and 55\/222.\nAnswer: 119436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -10\/3*p**3 - 29*p - 20\/3*p**4 + 0*p**2 + 0 - 7\/4*p**5. Find t, given that b(t) = 0.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -24. Put q, -22, -1 in decreasing order.\nAnswer: q, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1401516 and 198018.\nAnswer: 270492588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 562351992 divided by -17191?\nAnswer: -32712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u - 7. Let n be b(-4). What is the nearest to 0.05 in -0.2, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 4*k**2 - 6*k + 16. Let f(q) = 4*q**3 + 11*q**2 + 17*q - 49. Let w(a) = -2*f(a) - 7*j(a). Let i be w(6). Let b = i + 17. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6*k**2. Let r(d) be the third derivative of -d**4\/12 + 7*d**3\/6 - 2*d**2. Let w(n) = -n + 4. Let t(u) = 4*r(u) - 7*w(u). Determine o(t(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 74, 0.1, -1\/3, 5 in descending order.\nAnswer: 74, 5, 2, 0.1, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 + 3*p**3 - 3*p**3 + 2*p + p**3 - 2*p + 0 + 0 - p**3 + (1 + 1 + 0)*(2*p**3 + 0 + 0) - 144*p**3 + 38*p**3 - 58*p**3 + (-p**3 + 4 - 4)*(-5 + 2 + 2).\nAnswer: -157*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13676*k + 0 = 13685*k - 0. Suppose 3*x = -x + 12. Solve -4*h - 5*s = -0*h - 3, k = -x*h - 3*s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p**3 - 1 + 4 + 5*p**3 as o + f*p + g*p**3 + r*p**2 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 != 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1671 (base 8) to base 5\nAnswer: 12303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (22\/(-8) - -3)*20. Suppose -3*f = w - 0*w + 13, -2*w - 4*f = 20. Put -3, p, w in decreasing order.\nAnswer: p, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 4858*n**2 + 1079520*n - 63043200.\nAnswer: 2*(n - 2189)*(n - 120)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. Let z = 0.2084 - -2.7916. Let h = 10.4 - 10. What is the nearest to w in -2\/9, h, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2*1*0. Suppose f = 3*d + 2*d - 20. Let z(r) = r**2 + 2*r - 4. Let j be z(-4). Calculate the greatest common divisor of j and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 17*b - 16. Let u be w(-18). Solve 1 = u*x - 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m**2. Suppose 3*x + 4 = -2. Let t(c) = -10*c**3 + c**2 + 3*c + 1. Let z be t(x). Let j(s) = 6*s + 43 + 36 - z. What is a(j(d))?\nAnswer: -144*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 2356*z - 319032.\nAnswer: -4*(z - 378)*(z - 211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 321 + -191. Let b be h + 2 + (-12)\/8. Let u = -1723\/14 + b. Calculate the common denominator of u and -11\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**2\/3 + 2618*n = 0.\nAnswer: -7854, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/170*0)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8776017677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 13*h**4\/2 + 153*h**2\/2 - 42*h - 1. Find the first derivative of r(o) wrt o.\nAnswer: 156*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7*x**4 - 7*x**3 + 22*x**2 + 16*x - 6. Let s(g) = -8*g**4 - 9*g**3 + 22*g**2 + 18*g - 5. Let f(v) = 2*s(v) - 3*w(v). Find y such that f(y) = 0.\nAnswer: -2, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-40)*(14 + -9 - 6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 9 + 4\/5*s**5 - 7\/4*s**4 + 0*s**3 + 0*s**2 - 20*s. Find the first derivative of n(y) wrt y.\nAnswer: 16*y**3 - 21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 12:27 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 10*l - 46. Let c be u(5). Solve 3 = 4*k - 5*p, 2*p = -7*k + c*k - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**2 + 13*n + 6. Let x(j) = 5*j**2 - 13*j - 6. Let i(z) = 3*w(z) + 2*x(z). Let s be i(6). Suppose -3*a - 6 + s = 0. Which is smaller: a or -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 + -51. Sort i, 0, 2, 3 in decreasing order.\nAnswer: i, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from suxyxxmx. What is prob of sequence smsx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/6, -1\/8, -179, -5.\nAnswer: -179, -5, -1\/8, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 + 2?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7405 + 7417. What is the greatest common divisor of 8076 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a**2 - 3*a. Let s be q(1). Let x be 10\/(-3)*(-12)\/10. Differentiate -1 + 2*l**s - 7*l**4 + 0*l**x with respect to l.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003174 to five dps.\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 318479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*m)*(-2 + 1 + 0)*(-128 + 65 + 89).\nAnswer: -78*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 - 3*g - 2. Let t be x(6). Suppose 2*u = -4*c - 0*u + t, 3*c - 2*u = 32. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -134 - -460?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2043349 and 116591090?\nAnswer: 1982048530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(8\/(-6)*(-3)\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -61 + 61 - 2*z**5 + (2*z**5 - 2 + 2)*(-2 + 1 + 3) + z**5 + 3*z**5 - 5*z**5 + 3*z**3 - 2*z**5 - 3*z**3.\nAnswer: -z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 52*x - 1016. Calculate the remainder when 671 is divided by t(20).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 5:20 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/(16\/4)*100\/(-250).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*d**3 - 100*d**3 + 322*d**3 - 104*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 18*w + 19. Suppose -8*y + 93 = -7*y. Suppose 13 = 5*r + y. Is x(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = 5*m - 117, -2*i - 11*m + 43 = 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -186*b**5\/7 + 4344584*b**4\/7 + 4438206*b**3\/7 + 13348*b**2 = 0. What is b?\nAnswer: -1, -2\/93, 0, 23359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89*p**4 - 2864*p**3 + 282*p**2 + 301315329*p?\nAnswer: -1068*p**2 - 17184*p + 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 10) to base 9\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4*s**3 + 2140*s**2 + 47584*s + 245760 = 0.\nAnswer: -512, -15, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 s when two letters picked without replacement from {e: 1, q: 1, i: 2, r: 1, s: 1, o: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 308405664 to the power of 1\/2, to the nearest integer?\nAnswer: 17561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 1\/20 (b) -0.4 (c) 0.5 (d) 1 (e) -0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5375965, -10751930, -16127895?\n\"Answer: -5375965*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.15 - -15?\nAnswer: -4.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**4 - 4*t**4 - t**4)*(11386 + 9*t + 16*t - 11388).\nAnswer: -75*t**5 + 6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35 - 195?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55561 - 30768. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10395 and 267969735?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m + 132 = 170 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 + -62.834. Let u = -7630769 + 7630768.83400129. Let r = a + u. What is r rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 372168528 to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -108191998*j**3 + j**2 - 4804*j + 3761.\nAnswer: -649151988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17905, -35807, -53709, -71611, -89513?\nAnswer: -107415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3 + 8 = 3*b, -b - 4*s + 1 = 0. Suppose 2*z = -64 + 10. Let m be z\/(-18) + (-1)\/(-2). Solve -b*i = 2*d - 25, 4*d - 10 = m*d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 4, -0.12, -0.5, -75.\nAnswer: -75, -4, -2, -0.5, -0.12, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3.7, -2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5308909?\nAnswer: 43, 331, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (436\/(-16))\/(3 + 73\/(-24))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/7 + (-668)\/(-14)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2848?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/1550 and 5\/78?\nAnswer: 60450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 422 + -421. Sort j, -4, 0, -7 in ascending order.\nAnswer: -7, -4, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 3, u: 8}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 + 1.2. Let x = c + -4.8. Sort x, -3, 2\/5 in increasing order.\nAnswer: x, -3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2929*o + 1474*o + 1449*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*d**2 + 32*d**2 - 48 + 48 + 35*d**2 + 37*d**2 + (d + 0 + 0)*(3*d - d - d) - 13*d**2 + 5 - 5 in the form t*d**2 + g + v*d and give t.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 12:02 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/242 + -7517\/1210. Let o = 6 + d. Suppose 5 = 3*j + 5*a, -j - 4*a = -2*j - 4. Which is bigger: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(34)\/sqrt(2) + 5))**2.\nAnswer: 360*sqrt(17) + 1512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p + 3*h = -4, -5*p + 5*h = 40. Let i = 4 + p. Let j be 1 - -1 - (-1 + i). Solve s = j*k + 12, -3*s = -2*k - 10 - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 3*o + 2*o. Let z be o\/10*2\/4. Which is smaller: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 485058 and 2226?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 6:23 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lcxlcclcclxlccllcll. Give prob of picking 2 l, 1 x, and 1 c.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9495 divided by -114\nAnswer: 3165\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -4. Let v = m + -9.953. Let b = -0.04667 + v. What is b rounded to five decimal places?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -8*c + 1. Let k(x) be the first derivative of x**2\/2 - 4. Let u be 6\/18*(-7 + 4). Determine u*z(f) - 6*k(f).\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.55 + 0.45. Let x be 0 + (-6 - (-50)\/8). Which is the nearest to g? (a) 0.3 (b) x (c) -0.006\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 4) + 4 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m + 7915 - 15830 + 7919.\nAnswer: 9*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m - 8. Let q be 14\/((-6 - -24)\/(-9)). What is k(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 12:02 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 170, 174, 182, 194, 210, 230, 254?\n\"Answer: 2*q**2 - 2*q + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/32 and 83\/112.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3970, -16292, -36966, -65992?\n\"Answer: -4176*r**2 + 206*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(1*(-1 - 0)). Let q = -102.7 + 103. What is the closest to 1 in q, 1, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1260, 2507, 3754, 5001, 6248?\nAnswer: 7495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50436)\/11208)\/(1287\/(-4)).\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4828, -4753, -4584, -4291, -3844, -3213, -2368?\nAnswer: -1279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425464035 is divided by 175957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/917, 0, -2, -0.4, -5\/2, 1 in descending order.\nAnswer: 1, 2\/917, 0, -0.4, -2, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 61*u + 1684. What is j(-30)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, q: 1, p: 3}. Give prob of sequence qp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 207161 or -4\/7?\nAnswer: 207161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-15))\/((-4)\/30). Let o = f + -1. Suppose -2*n - o = -57. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuquqououvovvuquuoou. Give prob of picking 2 v and 1 q.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2889.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 2\/123 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/1400*(5 - 0).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -288*k**3*q**3 + 2*k**3 + 990*q**3 wrt k?\nAnswer: -864*k**2*q**3 + 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5993\/68 + 353\/4. Let d = 171\/1148 + -1\/164. Which is the third biggest value? (a) x (b) d (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -63000, -62961, -62922?\n\"Answer: 39*k - 63039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 7:42 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2. Let f(a) = 5*a - 8*a + a. Give t(f(l)).\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/13)\/k*k**(-21)\/k*k assuming k is positive.\nAnswer: k**(-284\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 0 (b) -1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*q - 71 - 471 + 52 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - a + 0 - 1)*(1 - 3 - 7 - 5 + 1 + 3 + 3 - 4 - 22 + 4 - 2 - 4 + (-1 + 1 - 2)*(-1 + 0 - 1)) to v*a + i and give i.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6684, -6683, -6682, -6681, -6680?\nAnswer: -6679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.105 * 0.145.\nAnswer: 0.015225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 + 3*y - 1. Let z(q) = 2*q**3 + 4*q**2 - 278*q + 4. Give -2*h(l) - z(l).\nAnswer: -2*l**3 + 272*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 13, 0.3, 4\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-14)\/56)\/(((-25)\/(-8))\/(-5)). Which is the closest to g? (a) 114 (b) -0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18727, 18751, 18791, 18847, 18919, 19007, 19111?\n\"Answer: 8*f**2 + 18719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122117*g**2*o - 724*g*o - 58*g - o wrt g.\nAnswer: -244234*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hy when two letters picked without replacement from {b: 4, h: 1, y: 2, p: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645633 is divided by 353?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116 - 6*r - 2*r**3 + 6*r.\nAnswer: -2*r**3 + 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 1. Suppose b*q - u - 170 = 0, -4*q - 5*u + 91 = -45. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-203 + 218 - 102)*(1 + 2 - 1)*(4*d + 0*d - 3*d + d - 2*d - 2*d + d - 3*d + 4*d + (-2*d + 4*d + 0*d)*(0 - 1 + 3)) in the form f + l*d and give l.\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.987 rounded to 0 decimal places?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101691759 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + a**2 + 12*a - 10. Give v(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 256 by 202792.\nAnswer: 32\/25349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*m**4\/5 - 288*m**3 - 87828*m**2\/5 - 34272*m - 84966\/5.\nAnswer: -6*(m + 1)**2*(m + 119)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10994386*l**3 + 83172567.\nAnswer: -32983158*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(1\/(-2)*4). Let p(w) = 8*w + 2503. Is p(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -268*j + 1695. Let m be z(6). Sort 5, -3, 4, m in increasing order.\nAnswer: -3, 4, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 6050.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 1. Let l(m) = 1. Let s(c) = 4*l(c) - 5*x(c). Suppose -2*k + 4 = 6. Let t(z) = 2*z + 13. Let p(h) = k*t(h) - 4*s(h). Calculate p(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1899744 divided by 67848.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 99663 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + 2*d + 4*d + (-3 - 3 + 4)*(-d + d - d).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.01 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158531833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 96 + -89. Let s(k) = -k**3 - 5*k**2 - 6*k. Let b be s(-3). Suppose b = -3*r - 9, 3*j = 3*r - 4*r + 6. Which is smaller: d or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10)\/(k**(1\/4)\/k))**29 assuming k is positive.\nAnswer: k**(-1073\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -1 (b) 6\/5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 - y - 2. Let d be g(-2). Let c be 39\/(-52) - 1794\/d. Let n be c\/(-280) - 6\/16. What is the smallest value in -2, n, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 1:44 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1764\/4209803?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -51*g - 6. Suppose 4*a + 5 = -7. Let m be n(a). Suppose 46 + m = 2*q + 5*x, 4*x = q - 90. Does 22 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t**3 + 3*t**3 + 2*t**3)*(-1 - 3*t + 1) - 865*t**3 + 15*t**4 + 865*t**3.\nAnswer: 21*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 94064*i*q + 2*i - 76*q + 11956 wrt i.\nAnswer: 94064*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 213810 and 370.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 14. Solve y = 2*l + 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 245294?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) -53 (b) 1 (c) -3 (d) 117\/4 (e) 0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*k + 5*g + 170, -4*k + 340 = 2*g. Suppose a = -10 + k. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 3\/4*r**4 - 1 + 0*r**2 - 6\/5*r**5 + 0*r + 1\/2*r**6 + 0*r**3. Suppose x(s) = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 12*a - 11. Let k = 91 - 47. Suppose -5*b = -k - 1. What are the prime factors of c(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10201021202120 (base 3) to base 15.\nAnswer: 28ed23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*n = 15. Suppose 0 = 5*i - 4*v + 647, n*v = 4*i - i + 387. Let d = -94 - i. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - x - 58 = 0, 0 = t + 354*x - 131*x - 227*x - 36 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 59638*c**2 - 715764*c + 2147400.\nAnswer: (c - 6)**2*(c + 59650)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, u: 2, o: 7, x: 1}. What is prob of sequence uax?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.228318 times 5?\nAnswer: -1.14159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-35694)\/(-26) - 116\/(-754) - -6.\nAnswer: 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-108 - 18))\/((-312)\/84)*40.\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 48 = -2*t + 52, -3*t - 5*m = -6. Solve q = -3*c - 6, -c - t*q - 5 = -2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1006*a + 1020*a. Sort a, 3\/7, 4, 476, -1 in ascending order.\nAnswer: -1, a, 3\/7, 4, 476","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is eaed5d - 8?\nAnswer: eaed55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 + -1.74. Let b = -111117 + 111118.79981. Let q = b + x. What is q rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*j, 6*r = 3*j + r. Let u be (-242)\/(-286) + (-2)\/(-13). Solve u = -k - j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c - 9. Let f(d) = d + 1. Let x(k) = a(k) + 6*f(k). What is x(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17450390 divided by -2?\nAnswer: 8725195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 1 + 0 + s - 3 - 2*s. Calculate y(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*c**2 - 15*c**3 + 4*c**3 - 2*c + 4*c**3.\nAnswer: -7*c**3 - 9*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 64846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 6:49 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, d: 8, g: 3, k: 1, p: 2, s: 1}. What is prob of sequence dpsg?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 745 divided by 4215?\nAnswer: 149\/843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 240308131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 7*j + 7. Let z be p(8). Let q = -1 - z. Suppose -2*r = -3*o - 9 - 13, q = 4*r + o - 72. Solve 3*v + k = -0*v - 13, -4*k = 5*v + r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812983885 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4998*f*t**4 + 9*f + 5*t**4 + 2623*t**2 wrt t?\nAnswer: -119952*f*t + 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-12) - 6*6\/27. What is the third biggest value in 4\/9, 0.01, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {i: 9, f: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 318\/10 - 3\/(-5). Let u = f - 32. Let p = 3 - 8. Put p, u, -0.3 in descending order.\nAnswer: u, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 40 = m - 7*j, 4*j + 20 = 0. Solve -2*i + m = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*o + 20, -2*x + 5 + 3 = o. Find the first derivative of o + 18*t**3 + 9*t**3 - 4 + 31 wrt t.\nAnswer: 81*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/3, -0.5, -3, -15.9442?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odnnooo. What is prob of picking 1 d, 1 n, and 2 o?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 739*k = 312*k + 854 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000085489 to 7 dps.\nAnswer: 0.0000855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a52 (base 13) in base 3?\nAnswer: -222112001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdbbwjwjddbdbbbdbd. What is prob of picking 1 j, 1 b, and 1 w?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.42311 times 5?\nAnswer: 12.11555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v**2 + 17*v - 8. Let n(h) = -h**2 + 3*h - 3. Let b(l) = j(l) - 4*n(l). What is b(11)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 + -0.5. Let i = j + 2.7. Which is the nearest to 1? (a) 0 (b) 1\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -6*x - 683. Let a = x + 115. Calculate the remainder when 35 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-4)*(-24)\/(-18). What is the third derivative of 0*k**3 - 4*k**3 + k**r - 5*k**3 wrt k?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74\/(-8))\/((-18)\/(-8)) - (160850 - 160853).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 3*i + 33*i + 2.\nAnswer: 30*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f + 24*f + 20*f - 53*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 16 = -3*v, -13*z = -11*z - v + 8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m**2. Let k(a) = -9*a - 142. What is l(k(n))?\nAnswer: -486*n**2 - 15336*n - 120984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(5 + -1 + -4). Let b = -100 + 150. Suppose 3*s - 5*s + b = k. Solve -5*i - 2*d = 2*d + s, i + 5 = 5*d for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7604629*a + 9329084.\nAnswer: 7604629","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 85, 16, 0.1, 31?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3)\/r)**(-3))**(-2\/11)\/(r**(1\/6)*r*r*r*r**(1\/3)*(r\/r**1)**(-12)) assuming r is positive.\nAnswer: r**(-93\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 116329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 8. Let l(z) = z**3 - 5*z**2 + 3*z + 4. Let r be l(d). Solve r*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = s - 5*l - 30, -2*l - 238 = -5*s. Suppose 5*q = -4*v + 135, -v + 6 = 2*q - s. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x + x**3)*(4 + 1 - 23)*(2*x**2 - x + x - 2).\nAnswer: -36*x**5 + 36*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*s - 4*k = 295*s - 4, 4*k = 5*s - 28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 112.98 rounded to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itrhithreteth. Give prob of sequence th.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 44464796*k. Let q(f) = -f**2. Determine t(q(r)).\nAnswer: -44464796*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - -34) + (-9 - (0 - -3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*p**3*x**4 - 2*p**3 - 2*x**4 + 197*x**2 wrt x.\nAnswer: -384*p**3*x - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130 - 88. Suppose -m = 4*r - 242. Suppose r*q - 54*q = -340. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002507777 rounded to 6 dps?\nAnswer: 0.002508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 1 = -2*i - 20, 16 = -3*z - 5*i. Suppose -3*h = -z*b + 21, 5*b + 5*h - 19 = 16. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3*d + 17 - 251, 141 = -2*l - 3*d. Let m = l + 153. Let j = 77 - m. Let v(n) = -9*n. What is v(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -27518 and -465?\nAnswer: 27053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -5*g - n, -4*g - 20*n + 21*n - 22 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 9*s**2 - 29*s - 5. Let j(q) = 4*q**2 - 15*q - 2. Give -5*j(a) + 2*o(a).\nAnswer: -2*a**2 + 17*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2679.\nAnswer: 3, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8866, 17733, 26600, 35467, 44334, 53201?\n\"Answer: 8867*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -10. Let f(d) = -d**3 + 9*d**2 - d + 9. Let h be f(g). Is h bigger than -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (872*w**2 + 548*w**2 + 36*w**2 + (-5 + 2*w + 5)*(-2 + 2 + w) + 2*w**2 - 3*w**2 + 2*w**2)*(-4*w + 0*w + w).\nAnswer: -4377*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyt when three letters picked without replacement from {t: 2, y: 8}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 196009*d. Let o(r) = 29*r**2. Determine o(z(v)).\nAnswer: 1114166314349*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5572056481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*n + 2*b - b, n = 4*b - 4. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - ((-46066)\/(-868) - 21\/294).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = -27 + 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 0 + 1 + -1 + (-83 - -89)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1214466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 15*d**2 + 2. Let n be j(1). Let b = n - 16. Let s = 0.68 - -2.32. What is the second smallest value in s, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 5:20 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**2 + 11*x - 4. Calculate k(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -1 + (1 + -6 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 8:05 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26585918279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 59. Put -3, h, 3, -9 in descending order.\nAnswer: 3, h, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 - -13a40?\nAnswer: 13a24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57613 is divided by 167?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 10) in base 3?\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/8)\/o**(2\/3))\/(o**0)**(-1\/5))\/(o**(-6)*o*o**(1\/4))**(-10) assuming o is positive.\nAnswer: o**(-1165\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 387*h + 394*h**2 - 387*h.\nAnswer: 394*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -416 (base 9) to base 7.\nAnswer: -663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 193225 and 1100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 71173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 0 - -16 - (14664 + -14733)) + (1 - -3)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-41)*i*i))**(7\/3)\/(i\/(i\/(i\/(i**(-2\/25)\/i*i)))*i**(-22\/7)) assuming i is positive.\nAnswer: i**(16286\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 12:50 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 22 - 8)*(0*g + g + g) + (0*g - 2*g + 4*g)*(-3 + 1 + 3).\nAnswer: -38*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 9 = -2*h, 0*o + 4*o - 7 = -h. Suppose h*d - 1 = 5. Suppose -5*f + 12 = -2*a - 2*a, 2*f = -d*a + 12. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6)*(-9)\/2. What is the smallest value in -4, d, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 1889*o. Let i(x) = -10*x - 9. Let c(g) = -3*g - 3. Let r(f) = 3*c(f) - i(f). Determine m(r(a)).\nAnswer: 1889*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.92 + 0.08. Let n(u) be the first derivative of u**2\/2 - 5*u + 1. Let w be n(6). Which is the second biggest value? (a) w (b) -0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19501 is divided by 18362.\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -375 divided by 799?\nAnswer: -375\/799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 10*d + 18. Let o be i(-4). Let s(p) = 2*p**3 + 11*p**2 - 2*p + 23. Let u be s(o). Sort -3, u, 5 in descending order.\nAnswer: 5, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hwddchhhhdwdhdddddc. What is prob of sequence cwcw?\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**5 - 135*m**4 + 445*m**3 + 2195*m**2 + 2490*m + 880.\nAnswer: 5*(m - 22)*(m - 8)*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4016910 and 48.\nAnswer: 32135280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1332 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0093619137 and 0.5.\nAnswer: 0.4906380863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1186764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 0. Suppose 0 = -c*n - 4 - 0. Let i = n - -3. Solve -4*u + 7 = -i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.35 - -0.15. Suppose 2 = h - 0. Which is the third smallest value? (a) d (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10)\/(-5)*2)\/(2\/4). Let k = j - 67. Let x = 62 + k. Solve x*c = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 7 = 2. Let l = -1 - f. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/6667 and -42\/1593413?\nAnswer: 1593413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 286 + -46c84?\nAnswer: -469ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 5*f + 12*j - 186, -j = -f + 39. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*s - 62800000 = -36*s. What is s rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 6*p - 10. Let d(r) = r**2 + r - 1. Let u(b) = -2*b**2 - b + 3. Let j(h) = -3*d(h) - u(h). Let v be j(p). Solve -y + 2*y - 5 = v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 80224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 - 2)*1\/10. Let i = 0.18 - 0.07. Let r(s) = 13*s - 1452. Let a be r(112). What is the smallest value in -0.1, i, g, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (842 + 4)*(-11)\/(-9702)*49.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, y: 8}. What is prob of sequence yee?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1008\/(-49)*3381\/(-1932).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -5, -70, 1, -2 in decreasing order.\nAnswer: 1, -2, -5, -21, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1526*j = -360*j - 49036 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2 = -c - 11, 0 = -3*v + 2*c - 3. Let i be -3*(-1)\/v - -4. Solve i*f = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509782 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5 = 15. What is q rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*q, -12 = -4*h + 2*q + 56. Let v = h + -15. What is the highest common divisor of 2 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(147)\/sqrt(3))\/sqrt(7) + sqrt(7))**2 - (sqrt(7) + sqrt(28)\/(sqrt(4)*1))) + 5 + (sqrt(63) + sqrt(63)*-1)\/sqrt(9))*-1.\nAnswer: -33 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1415, 1417, 1419, 1421?\nAnswer: 1423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-107 - (-19 - -65)) + 87?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32016114 is divided by 4195?\nAnswer: 4069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -574 + 573. Calculate the common denominator of -157*p\/(-615) - 320\/(-400) and -61\/39.\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13, 20, 29, 40, 53, 68, 85?\n\"Answer: w**2 + 4*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 313*r**3 + 1080*r**4 - 98*r**3 - 59 - 215*r**3 - 6*r**2 + 2*r wrt r?\nAnswer: 25920*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-24)*(-16)\/(-14)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 32 = l + 33, -5*l = -v + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31308 and 6809490.\nAnswer: 13618980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -144115605*v + 320976214 wrt v?\nAnswer: -144115605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -207.6+241945\nAnswer: 241737.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 15*v - 2*o = -62, 5*v - 2*o - 130 = 0. What is the greatest common divisor of 30 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28 - 5 - 8*f + 2 + f**4 - 6*f with respect to f.\nAnswer: 4*f**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*p = -21, p = -2*r + 12 - 5. Suppose -4 = r*m - 0. What is the tens digit of m\/3 + (-1075)\/(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 177 + -51. What is the common denominator of (-4)\/14 - (-1079)\/p and -91\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20924 - 8.\nAnswer: -20932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3859.743 + 3946.3. Let p = c + -87. Let k = -0.44300299 - p. What is k rounded to 7 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 4) + -9 - -6 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - 5 - 5 - 16?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23\/55 in 2\/11, -2, -1.7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -8*d + 94. Suppose 4*x = -3*x + d. Let i be 1\/1 + (4 - 2). Solve x*o = -i*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*3 - (-1 - -2). Let s(k) be the third derivative of k**4\/3 - 5*k**3\/6 + 4*k**2. Is s(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1007 + -401. Calculate the remainder when z is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222568 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 5*w + w - 251, 14*k - 38544*w + 38539*w - 425 = -7*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + 14 + -11 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 63639?\nAnswer: 4\/63639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179 or 1\/36?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r**2. Let s be (8\/5)\/(4 + (-1194)\/300). Let v(w) = -s + 6*w + 80. What is v(j(g))?\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -25\/3. Let o(w) be the third derivative of w**5\/60 + w**4\/4 + w**3\/2 - 2*w**2. Let s be o(-5). Which is smaller: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -280 + 282. Suppose 2*d = -2*u + 42, -4*d + 45 = x*u - 1. Solve u = -5*c + 4*t, 4*c = -0*c + 5*t - 17 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -244 + -20?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2976 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 2036.0119 and -7.\nAnswer: 2029.0119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -51\/4 (c) 50\/9 (d) -0.5 (e) -5 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4070 times 0.032\nAnswer: 130.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1318*y**2 + 4964*y**3 - 2479*y**3 - y - 2482*y**3 in the form r + u*y**3 + m*y**2 + z*y and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2765800 to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**5 - 4*u**3 + 4*u**2 - 11*u + 4. Let v(k) = -k**5 + k**3 - k**2 + k - 1. Let i(r) = d(r) + 4*v(r). Find the second derivative of i(b) wrt b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 4:18 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -50966 + 0?\nAnswer: -50966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3 = -9. Let j = y + 5. What is the derivative of 22*t**j + t**4 - 22*t**2 + 2 wrt t?\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 2*x + 8, 0*d - 2*x - 6 = -d. Let v = 62 + 6. Suppose -d*i = 3*y - 26 + 4, -5*i - y = -v. What is the remainder when 27 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453 = -16*k + 427. Let s = 50 - 45. Calculate the highest common factor of s and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 67323 and 1759.\nAnswer: 69082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 11 (b) -0.46 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d. Let q(v) = -v**3 - 8*v**2 - 5*v - 11. Let n be q(-8). Let a(p) = -29 - 2*p + n. Calculate x(a(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhmrhhmmcchhch. Give prob of picking 1 r, 1 h, and 2 c.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 9.9327?\nAnswer: -5.9327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 2)\/(3*1). Suppose a*k - 4*k = -32. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*c - 11*c + 21*c)*(27585 + 59*c**2 - 27585).\nAnswer: 1475*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 23.0004*5\nAnswer: 115.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/189*7*3\/(-3)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-3))\/(13\/39). Does 5 divide 4 + (q - (-4 - -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020275 minus 67647823?\nAnswer: -66627548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3645 and 15474.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 20. Differentiate l**3 + l**3 + n*l**3 - 8 - 4*l**3 with respect to l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 - 977*s**4 - 19*s**2 + 526*s**4 + 478*s**4 to the form y*s**4 + f*s + z + t*s**3 + d*s**2 and give y.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.07 (b) 2.09 (c) -2\/3 (d) -7 (e) 1 (f) 21\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-2\/13)*r**(3\/11)*r**6*r*r*((r*r\/(r**(-3\/2)\/r)*r)\/r)\/r assuming r is positive.\nAnswer: r**(3609\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -35, -64, -93, -122, -151?\n\"Answer: -29*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -401b15 + -8a?\nAnswer: -401ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l + 14*l + 6*l + 4*l.\nAnswer: 27*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*l**2 + 8 - 71*l**2 - 3*l - 6 + 47*l**2.\nAnswer: -93*l**2 - 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.04076 and -0.3.\nAnswer: -0.912228","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558652611?\nAnswer: 3, 11, 19, 890993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2446958 and 6152.\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*m = h + 39, 0 = -2*m - 6. Suppose y + 1 = -5*g, y = 2*g + h - 17. Solve -r + 4*z + z = y, 3*z - 12 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 0*d - 2*d + 3*d. Let q(c) be the second derivative of -c**5\/60 + c**3\/3 + 2*c. Let g(n) be the second derivative of q(n). Determine g(m(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1477*o**2 + 66842*o + 227616250.\nAnswer: 2954*o + 66842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1065 - -1.1065. Sort 30, q, -0.2 in descending order.\nAnswer: 30, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.4825436 centuries?\nAnswer: 0.04825436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 6) in base 4?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*l**3*n**2 + 5*l**2 + n**2 - 10 wrt l.\nAnswer: 156*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 4*u - 19, -162*x + 83*x + 80*x - 91 = -120*u + 26 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - j - 6, -w + 2*j - 2 = 0. Suppose a + w*a = 1011. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7\/2))**(1\/5)\/(u**(-10)\/(u*u\/u**(1\/7))) assuming u is positive.\nAnswer: u**(781\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = y + 4. Let h = -120 + 124. Let u(o) = -34 + 34 - h*o**y + 3*o**2. Let k(q) = 4*q. What is u(k(t))?\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 4.6. Let k be 72\/(-27) + 1\/(-3). What is the third biggest value in k, n, -2\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + -5 + ((-1*sqrt(1100) - sqrt(1100))*4 + 6*(sqrt(1100) + sqrt(1100)*-2 + sqrt(1100)))**2)*1.\nAnswer: 422400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1869.\nAnswer: 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 16. Let k(f) = -q - 2*f + 6. Let l(t) be the third derivative of -5*t**4\/24 + 2*t**2. Determine l(k(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -110361, 27 in descending order.\nAnswer: 27, 1, -110361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 + 12*c**2 + 85*c + 662. Give u(-9).\nAnswer: -589","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*i + 5. Suppose i*y = -2*h - 16, -3*h - 2*y + 14 = -4*y. Suppose -h*z + 134 = -c - 52, -459 = -5*z + c. List the prime factors of z.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/8 and 1580\/(-112)*-2 - (-2)\/7.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.02549 millilitres to litres.\nAnswer: 0.00802549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*w - 106*w + 94*w.\nAnswer: 234*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 3*d**2 + 2*d - 2. Let j(k) = k + 2. Let n be j(4). Let w = 2 + n. Calculate the least common multiple of b(-4) and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*r**3 + 34*r**3 - 5 + 3 - 611*r**2 + 137*r**2 in the form i*r**2 + g + v*r + l*r**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7850341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.1, 5, 1, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7650 and 7?\nAnswer: 53550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 170001359 to the power of 1\/2, to the nearest integer?\nAnswer: 13038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/10)\/(-2)*-4. Let j be (-1)\/(-1) + 2\/(-4). Which is the third smallest value? (a) j (b) 0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -14. Let x = 209 - 206. Put 1\/7, -4, x, j in decreasing order.\nAnswer: x, j, 1\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - sqrt(60))\/sqrt(3) + -1.\nAnswer: -sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 - (-382)\/42) + 256\/(-42). Which is the closest to -2? (a) l (b) 3\/2 (c) 1 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*f - 15, 4*y = -0*y + 4*f + 4. Suppose -y*n - 15 = n. Let m be ((-3)\/(-4))\/((-4)\/16). Which is smaller: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*i - 6 - 39 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (275\/1375)\/(9\/(-2385))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**2 - 136124154*p - 1544148775184643 = 0.\nAnswer: -22687359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 30*j**2 - 26*j + 34. Calculate v(2).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 80, 375, 866, 1553?\n\"Answer: 98*i**2 + i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -513*m + 505*m = -104. Let t be (-1)\/(1\/8) + 2. Let x(d) = d**2 + 5*d + 7. Let z be x(t). Calculate the greatest common divisor of m and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1651*p = 21690 + 21236 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 382847713 to the nearest integer?\nAnswer: 19566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*v + 1 = -5, 3*v = 0. Is x at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 2\/79 (c) 2\/15 (d) 356632\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 5\/4, 1\/1017, 3\/5, 5 in ascending order.\nAnswer: 1\/1017, 2\/9, 3\/5, 5\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -32\/3. Let j = -9 + 9.4. Let z = -3.349 - -2.949. What is the closest to g in z, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 80126*i + 80130*i + 3 = -2, 29*z - 487 = 2*i for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6299, 12598, 18897?\n\"Answer: 6299*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -366 - -368. Let d be (10\/f)\/(107 - 106). Solve d*g = -3*h + 20 - 8, 17 = 5*g - 2*h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 5*t**2 - 7*t + 7. Let g be d(6). Suppose -2*o - 5 = -3*q, 4*q - o = 15 - 5. What is the derivative of -2*r**3 + 3 + g + q*r**3 - 4*r**3 wrt r?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 269 (base 10) to base 13.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-165)\/18)\/(-11))\/((62370\/168)\/33)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4184.7 rounded to the nearest 10?\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 6203 in increasing order.\nAnswer: -5, -4, 6203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26.734 + -25.734. Which is the closest to -1? (a) 0.02 (b) v (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24323320 (base 6) to base 16\nAnswer: -bcc40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 4430050.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65488, -130974, -196460, -261946?\nAnswer: -327432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98305275.\nAnswer: 3, 5, 719, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1430025 + 5?\nAnswer: -1430020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 766 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/5)*o**3*o)**(-34\/5)*((o**(2\/5))**(-49))**(-20) assuming o is positive.\nAnswer: o**(9018\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25365 and 78945.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**3\/2 - 29*f**2\/2 + 2*f. Let v be i(-12). Solve -v = d + 3*c, 0*d + 5*c = 2*d - 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -24*(0 - 3\/9). Suppose -q*h - 560 = -22*h. Calculate the highest common factor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 35. What is the third biggest value in 2\/5, q, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -3\/4, 4 in descending order.\nAnswer: 4, 3, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 1855\/495304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3011 divided by 5.\nAnswer: 3011\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 12*k)*(4 - 4 - 5*k)*(3 - k**2 - 3).\nAnswer: -60*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/10 + (-32)\/5. Suppose -10 = -g + 6*g. Is ((-15)\/g)\/((-3)\/i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*p**2 + 0)*(2 - 3 + 0) + 90*p**2 + 248*p - 248*p to the form y*p**2 + v + h*p and give y.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 193408, 193412, 193416, 193420, 193424?\n\"Answer: 4*p + 193404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 918773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/1147399 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**9\/756 + y**6\/120 + 4*y**3\/3 + 5*y. Let r(m) be the second derivative of f(m). Find the third derivative of r(p) wrt p.\nAnswer: 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*r + 4*r - 4477 = 63*r for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-7)*q**19*q*((q**(-1\/14)\/q)\/q*q*q)\/(q\/((q**(-1\/3)*q)\/q)) assuming q is positive.\nAnswer: q**(487\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*(sqrt(425) - (sqrt(425) + 1 + sqrt(425) + sqrt(425))).\nAnswer: -20*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*l - 51 = 11, -k + 11 = -2*l. Suppose -k*i = -12*i + 10. Let z be (i*9\/6)\/(-70). Is z bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**2 + 3*t**2 - t + 2 + 0*t**2. Determine y(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*(v*v*(v*(v*v**(-1)*v)\/v)\/v)\/v))**(-9\/4) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1317664 (base 8) to base 12.\nAnswer: -159358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5174 + -5175. Which is the second smallest value? (a) k (b) -2\/5 (c) 203\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 1)*(-80*k**2 - 2*k + 8*k - k**3 + 7713719 - 7713723) to d*k**2 + q*k + b + s*k**3 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 12 = 7*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -627 = -s - k - 632, k + 1 = -5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 8*g**3 - 12*g - 13. Let p(y) be the second derivative of -y**5\/10 + y**3\/2 + 3*y**2\/2 + 277*y. Calculate 2*l(k) + 9*p(k).\nAnswer: -2*k**3 + 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = l - 4*c - 11, -4*c - 26 = -5*l. Let s(a) = -1 - 2 - 4 - 2*a. Let z be s(-4). Solve -2*d + 18 = 4*w, 4*d = -l*w + w + z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5.58442 days?\nAnswer: 134.02608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-80))\/((0 - (-3)\/(-48))*522\/(-9657)).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-21*(-28)\/31752*6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -762 - -1202.9. Let s = 441 - t. Let x = -0.21 - -8.21. What is the second biggest value in s, x, 0, -1\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-98)\/56)\/(147\/3864).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 463, 493, 525, 559?\n\"Answer: m**2 + 27*m + 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 67870, 67730, 67566, 67378, 67166?\n\"Answer: -12*j**2 - 104*j + 67986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148744567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1550214 - 136412587\/88. Let t = p - 903\/11. Calculate the common denominator of t and -6\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ellcffsfyfelyffees. What is prob of picking 1 s and 1 f?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/8 of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 10*v**2 - 3*v + 5. What is p(-10)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1026\/3419 - -2\/263. Solve -g*u + 6\/13*u**3 - 14\/13*u**4 + 0 + 6\/13*u**5 + 6\/13*u**2 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7*f**2 - 17*f - 7. Let y be g(-10). Let p = y - -1534. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, l: 1, h: 1, d: 1, r: 1, j: 2}. What is prob of sequence ds?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -81710000 to the nearest one million.\nAnswer: -82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -148.594 to 0 dps.\nAnswer: -149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 66*d**2 + 0 + 2018*d + 0 - 2018*d. Let b(w) = 3*w. Determine l(b(p)).\nAnswer: 594*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 - 50 = 10*o - 30 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from appaapaaapaaaaaaaa. What is prob of picking 3 a?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-3)*17\/68*-6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27694332 a multiple of 894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 2215 = -u - 2220, 0 = 3*u - 30 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -438222?\nAnswer: 438221.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k + 1. Let o be b(-2). Let u = 22 - 14. Suppose -19 = -u*x + 5. Put x, 0, o in ascending order.\nAnswer: o, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37834 - 37834 - 19427*s to the form z*s + x and give z.\nAnswer: -19427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -480472, -1921901, -4324284, -7687621, -12011912, -17297157?\n\"Answer: -480477*o**2 + 2*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -3*b**4\/2 + b**3\/6 - 2*b**2 + 3*b. Let d be l(3). Let t = 86 + d. What is t rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13247 and 67254.\nAnswer: 874302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25074 and 756?\nAnswer: 150444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**3\/7 + 12*u**2 - 360*u\/7 = 0. Calculate u.\nAnswer: 0, 6, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 5*o + o)*(-546 + 127*o**2 + 546 + (-3 - 1 + 3)*(4*o**2 - o**2 - 5*o**2) - 3*o**2 + 5*o**2 - 3*o**2).\nAnswer: -384*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31068852?\nAnswer: 2, 3, 2589071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -53, 1\/11, -4, 0?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 3*r - 177, -358 + 468 = 3*j - r. Suppose 290 + 113 = k. Calculate the greatest common divisor of j and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22320.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 12 = -0*t. Let h be t\/(-8) + 117\/12. Let z = h + 5. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 17*p**2. Let d(f) = f**2 + 7*f. Let y(v) = 2*v. Let w(n) = -2*d(n) + 7*y(n). Give w(o(l)).\nAnswer: -578*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4979204231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2\/3 + 15749680*j - 93019657538400 = 0.\nAnswer: 11812260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 26. Let b be (-1)\/(-2) + (-27)\/(-18). Let a be 6\/(-8)*b*8\/(-2). What is the greatest common factor of a and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*d - 4*f - 96265, f = -1. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -11*l**3 + 1. Let z be a(1). Let i be (426\/15 - -3) + (-60)\/(-100). Calculate the common denominator of ((-123)\/15)\/(i\/z) and 103\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + (-16 - 15) + -16.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02358 + 5.02358. Which is the nearest to 3\/7? (a) -8 (b) -0.3 (c) k (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2793 is divided by 400?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36991 (base 14) to base 3.\nAnswer: -20210021021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -220.5 and -3.\nAnswer: -223.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 8 = -2. Solve 2*c - 24 = -q - s*c, -5 = -c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55653 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41484 and 8773866?\nAnswer: 17547732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177 - 69. Let t be (-1)\/(d\/(-52) - -2). Let s = 2 + t. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4412396139 to the nearest integer?\nAnswer: 66426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -37392 divided by -9348\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 423, 423, 441, 489, 579, 723, 933, 1221?\nAnswer: 1599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -205375418, -205375415, -205375412?\n\"Answer: 3*t - 205375421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -592 + 886. Let l = -293.86 + n. What is the smallest value in -3, 3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 18*f**2 + 2*f + 1. Let y be g(-1). Solve 4*t + y = -3, -4*m + 4*t = -12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8316392 + 5648913. Let f = w + -3947928. Let n = f - -3915407. What is n rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441 = 12*w - 429 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-4 - (-22)\/4). Suppose 11 = l*t - 1. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + -53. Let l(f) = -11*f - 6. Let u(j) = -100*j - 55. Let p(z) = n*l(z) + 6*u(z). Let x(b) = -3*b. Give x(p(s)).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1437 - 1274. Sort 1, q, 0.4 in decreasing order.\nAnswer: q, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*y - 79*y + 40*y = -480000. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 4*l**2 + l + 1. Let o be d(4). Is 13 a factor of o\/((-15)\/(-117))*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3923961672 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*j - 10*j + 2*j)*(-2*j + j + 2*j) - 33*j + 23*j + 1 - 2*j**2 + 25*j - 4*j**2 + 2*j**2 + 4*j**2 to the form f*j + y + z*j**2 and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8157974967.912 + 0.5?\nAnswer: 8157974968.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d - d + 2*d)*(-2 + 6 - 2)*(0 + 1 + 1) in the form m + n*d and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 12*x + 17. Calculate f(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20777 - 127851\/7. Which is bigger: a or 2513?\nAnswer: 2513","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 801 and 13439?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(35\/20) + 35. Suppose 0*k - 4*f = -4*k + 76, 0 = k + 5*f - b. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 1:45 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1123 and -9?\nAnswer: 10107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-47)\/(-141)*(-2)\/((-12)\/2)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 4:50 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/42 and -32\/4113.\nAnswer: 57582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 71343*c - 7906749. Give f(111).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -248 at most -247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 4. Let h = -10 - l. Calculate the remainder when 52 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 1. Let h(k) = -2. Let v(l) = -h(l) + 4*w(l). Let a be v(10). Let y = a + -340\/9. Put 4\/5, -4\/3, y in descending order.\nAnswer: 4\/5, y, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (28*c - 10*c - 15*c - 45)*(-1 + 2 + 1) in the form a + d*c and give a.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.5 - 165163.654.\nAnswer: -165166.154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -11 + 8. Let v be (r - (-1 + 3)) + 2. Let f = -34 + 34. Which is the closest to -2\/5? (a) f (b) v (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11121 is divided by 158.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 12*p + 1. Let b be c(10). Which is greater: b or -22?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 1:38 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -149 divided by 4\nAnswer: -149\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 13 = -4*g, -i - 2*g - 1 = -6*i. Let x(l) be the first derivative of l**3 + 2*l - 88. Let v(o) = o**2 + 1. Suppose 6*r - 5 = r. Give i*v(n) + r*x(n).\nAnswer: 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17108 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67538 - 23229 - 51595 = 4314*l for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22, -35, -70, -139, -254?\n\"Answer: -2*t**3 + t**2 - 2*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 10:42 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69064?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r**3 - 2*r**2 - 5*r - 7. Let t be d(-5). Let p be (1 - 3) + 6914*t. What is p rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, t: 1, w: 3, s: 2, n: 2}. What is prob of picking 1 s and 3 i?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*r**4 + 3*r**3 - 2*r + 5*r**2 - 79*r**4 - 3*r - 9*r**2 to w*r**2 + s*r**3 + c*r + h*r**4 + n and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 587\/9255 - -2\/617. Let c(d) be the second derivative of i*d**3 - d - 1\/60*d**4 - 1\/10*d**2 + 0. Factor c(s).\nAnswer: -(s - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = 21*b - 193 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 - 40 - 66 + 57*p**3.\nAnswer: 57*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfohffqfofhoon. What is prob of sequence oh?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-22 + (-750)\/(-12))*(-764)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3046213007 to the power of 1\/3, to the nearest integer?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163, 34, 0, 5 in decreasing order.\nAnswer: 163, 34, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -5\/132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-330)\/(-825)*5\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 52\/182 + 124750\/(-46536). Let h = 6\/277 - g. What is the common denominator of 73\/21 and h?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 2, -43, -2, -5 in increasing order.\nAnswer: -43, -14, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 717400?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w. Let z(y) = 116*y**2 - 100*y. What is t(z(p))?\nAnswer: 232*p**2 - 200*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, s: 5, k: 3, f: 1}. Give prob of picking 2 k.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*(-144 + 76*q + 144 + 0*q + q - 3*q - q + 4*q - q + (q + 2*q - 2*q)*(-4 - 1 + 6) + q - 3*q + 0*q).\nAnswer: 75*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/287 or 11?\nAnswer: -5\/287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(8 - (-38)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14694445?\nAnswer: 5, 29, 101341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 42. Suppose b*v + 52 + 23 = 0. Let d be 18\/v*(-40)\/12. Solve 0*g = d*g + 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 29\/3*f + 1\/3*f**2 = 0. What is f?\nAnswer: -24, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -23*s**5\/5 + 18*s - 6. Find the first derivative of c(h) wrt h.\nAnswer: -92*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - 3*l**2 + 2*l**2)*(165*l - 2 - 22*l + 2).\nAnswer: 286*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20 + -141?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11480134 is divided by 74.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 3224607 = 14*s + 46*s. Is s a multiple of 297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 1:34 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 187\/35 + -43\/7. Let u = -3\/10 - l. What is the closest to u in 0, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5584.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 107, 235, 487, 905, 1531?\nAnswer: 2407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320 and 1365491840.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 83*r - 479. Give m(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739529604?\nAnswer: 2, 3, 11, 349, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5987308926 to the power of 1\/2, to the nearest integer?\nAnswer: 77378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 3*y**2 - 8*y - 12. Suppose -2*p - p - 42 = 0. Let o = p + 27. What is the remainder when r(-4) is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1159*o**4 + o + 117.\nAnswer: -13908*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 131*l + 16. Let x be u(2). Let o = x + -254. Calculate the remainder when o is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j = -2 + 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**7\/63 - 2*w**6\/45 + w**4\/9 - w**3\/9 + 113*w. Find x, given that g(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**5\/90 + i**4\/12 + i**2. Factor x(f).\nAnswer: 2*f*(f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -37500. Let v(z) = -2*z + 37500. Let b(y) = 3*u(y) + 2*v(y). Let h be b(0). Round h to the nearest one thousand.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from zzztttzzhzgzzzgt?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(7) - sqrt(49)\/sqrt(7)) + sqrt(7))*-5.\nAnswer: -5*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -683.1 - -654. Let x = 0.1 + v. Let j = 29.4 + x. What is the second smallest value in -3, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 104 = 3*p. Let v = p + -25. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 18*s**2 + 6*s - 12. Let d(f) = f**3 - 17*f**2 - 5*f + 13. Let g(i) = -3*d(i) - 2*l(i). Factor g(z).\nAnswer: -3*(z - 5)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50 - (45 + -24) - 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3000009 is divided by 2457?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/7 (b) 143\/2 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/5 + (-1577)\/171.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)*-3*2)\/(sqrt(55)\/(sqrt(11)*3)).\nAnswer: -72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52 + -51 - -6055*1?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*u - 23 = 1, -2*n = -5*u + 9. Solve -o - h - 4 = 0, 2*o + n*h + 4 + 6 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 27. Let v = -7\/3 + 25\/12. Which is the nearest to 1? (a) v (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (705\/1410)\/((-3)\/18). Suppose w = -3*w - 20. Put -22, 2, d, w in descending order.\nAnswer: 2, d, w, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -143 - -144. Let w(m) = 45*m**3 - 10*m**2 - 65*m + 90. Let h(l) = -2*l**3 + l**2 - 2. Let r(j) = x*w(j) + 20*h(j). Factor r(i).\nAnswer: 5*(i - 2)*(i - 1)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.3 times 18.1\nAnswer: -186.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 282830 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: Sort -5, -13\/144, -32\/3 in increasing order.\nAnswer: -32\/3, -5, -13\/144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -17*x**2 - 8*x - 8. Let a(m) = 6*m**2 + 3*m + 3. Let z(y) = 11*a(y) + 4*r(y). Let s(b) be the first derivative of z(b). Determine s(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 563 + -16540232?\nAnswer: -16536336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b = -27*b - 3*j - 412, 2*b + 2*j = -416. Let k = b + 217. Solve -20 = 3*s - 5*s - k*u, 16 = 2*s + 3*u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - h. Let l(r) = 2*r**2 - r - 1. Let k(a) = 4*l(a) - 6*s(a). Let m be 1*(1 + -5)*1. Is k(m) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00473 rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/(-4) - (-1)\/(-2). Suppose 3*w = -b + 68, -3*b + 0*w = w - 196. Calculate the highest common divisor of g and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6099 (base 10) in base 15?\nAnswer: 1c19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4588?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120, -149, -180, -213?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 12. Let l(g) = -g**2 + 9*g - 9. Let d be l(a). Calculate the greatest common divisor of d and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 7*f - 6 = 0. Let d = -2 + f. Factor -1\/4*m**5 + 1\/2*m**3 + 0 - 1\/4*m + d*m**4 + 0*m**2.\nAnswer: -m*(m - 1)**2*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 72*s. Let c(p) = 5*p**2 - 7*p. Calculate o(c(d)).\nAnswer: 360*d**2 - 504*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 18*l**2 + 35*l - 71. Determine w(16).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2872949, -2872956, -2872963, -2872970, -2872977?\n\"Answer: -7*h - 2872942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, 68, -3, -4 in descending order.\nAnswer: 68, -0.7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, 0.03 in decreasing order.\nAnswer: 0.03, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**4\/12 + i**3\/3 - 699*i**2. Let q be 3*(40\/6)\/(-4). Determine g(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3120730 rounded to the nearest ten thousand?\nAnswer: -3120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 30*n - 15*n - 179*n**2 - 12*n + 104*n**2 + 113*n**2. Let f(x) = 6*x. What is f(h(q))?\nAnswer: 228*q**2 + 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**20\/u**(2\/9) assuming u is positive.\nAnswer: u**(178\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 574.\nAnswer: 12628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15368398, 30736792, 46105186, 61473580, 76841974?\n\"Answer: 15368394*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 141081179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -363, -705, -1093, -1545, -2079, -2713, -3465, -4353?\nAnswer: -5395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 1:50 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*j**2 + 11*j**2 - 91*j**3 + (j**2 + 3*j**2 - 2*j**2)*(-4 + 4 - 2*j) + 2*j**3 - 1 + 1 to the form y*j**3 + m + s*j**2 + q*j and give y.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1 + -2 + (-5 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 11*v + 12. Let x be i(11). Solve 0*w + 2*j - x = -2*w, 5*w + 3*j = 20 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 - -27. Let d be (-1)\/((-6)\/m) - 6\/(-2). Suppose 2 = k - 14. What is the highest common factor of k and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 4984902?\nAnswer: -4984907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1123 + -1574. Let k = -389 - g. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**2*v**3 - 336*i**2*v**2 + 194*i**2*v + 44231*i*v**3 - 2*i*v**2 + 2*i*v - v**2 - 3 wrt v.\nAnswer: -12*i**2 + 265386*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 30*c + 72.\nAnswer: -3*(c - 12)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*k**3*v**2 + k**3*v - 3*v**3 + 154*v wrt v.\nAnswer: -10*k**3 - 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -11, 0, 1, -4, 219 in decreasing order.\nAnswer: 219, 5, 1, 0, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 8:24 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 146973?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 6. Let a = -41 + 39. Let k = 3 + a. Let n be (-4 - -2 - (-1 - k))\/(-1). Give g(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -93900 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56\/171 + 2\/19. Let h = -229 - -257. Let i be (-1 - h\/(-8)) + (-9)\/(-6). What is the third biggest value in 2\/5, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/((-192)\/(-36)))\/(-12*(-9)\/(-1368)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (86 + 0)\/(20 + -14). Let g = t + -365\/33. Which is smaller: 3 or g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(70) - 2*sqrt(70)))\/(sqrt(10) - 2*sqrt(640)))**2.\nAnswer: 28\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -108*t + 78*t + 570. Solve -t*p - 39 = 56 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 7:37 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -54, -380, -1258, -2964, -5774?\n\"Answer: -46*p**3 - 4*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 936274334 to the power of 1\/2, to the nearest integer?\nAnswer: 30599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-40)*(-15)\/(-6). Let c = -1.7 - 2.3. What is the nearest to 2 in 1\/7, a, c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43768, 43770, 43772, 43774?\nAnswer: 43776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -206 times -18?\nAnswer: 3708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by 98.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 9:35 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -59437*v**4 + 207289 with respect to v.\nAnswer: -237748*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110 - -1100001000?\nAnswer: 1100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3*n + 5 = 17, z - 4*n = 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -5, 15, 33, 43, 39, 15?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -340, -0.5, -1.2, 9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 20?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25968805*q*z**3 - 2*q - z**4 - 198815802 with respect to z.\nAnswer: -77906415*q*z**2 - 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 317808 (base 9) to base 10\nAnswer: 189467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 - 7. Let g(x) be the first derivative of 0*x**2 + 1\/3*x**3 + 3*x - 1. Let c(a) = -14*g(a) - 6*n(a). Let l(d) = -2*d. Determine l(c(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2 - 56\/(-16)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 20 = 0, -y - 4*h = -2*h - 3. What is the nearest to 1 in -4\/3, y, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*m - 18. Suppose -m*i = -i - 12. Calculate the remainder when 6 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1906 - 5720\/3. Let t = -3\/152 - 271\/1672. Let o(u) = u. Let w be o(2). Which is the nearest to -1? (a) w (b) y (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*r - 13 + 13 - 11*r**3 + 164*r.\nAnswer: -11*r**3 + 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 38.84493l?\nAnswer: 38844.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 39*p - 293. What is the remainder when 72 + 1 - 0\/1 is divided by z(-11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**4\/12 + z**2\/2 - 11*z. Let p(q) = -8*q**2 - q - 6. Let u = -3242 + 3236. Calculate u*a(y) - p(y).\nAnswer: 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -422*h**4*k - 413*k wrt h.\nAnswer: -1688*h**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - 17 = 82. Is 2\/(-6) + 1 - 327\/h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20530965 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: Let v = 0.1 + -1.1. Let o be -4 + (-90)\/(-24) - 3\/12. Let f be (-496)\/(-352) + ((-2)\/(-6))\/((-11)\/(-3)). Which is the closest to v? (a) -7 (b) o (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5\/4 + 95*q**4 - 2251*q**3\/4 + 653*q**2 + 563*q - 748 = 0. Calculate q.\nAnswer: -1, 1, 2, 4, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s**(-1)*s*s)\/s)**(-33)*s**(-2\/13)\/s*s*s\/s**(1\/5))**44 assuming s is positive.\nAnswer: s**(-92532\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-39)\/2*(-14)\/21. Suppose l - 40 = -4*p, -3*l = 1 - t. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 266*b**2 - 49*b + 155. Let r be j(4). Is 4215 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-527)\/(-34) + (-2 + 1)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + r**3 + 11072*r - 12517*r - 2.\nAnswer: r**3 - 1445*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 85*h - 80*h - 49, 0 = 5*h - 25. Solve 5*d = 3*v + f, 3*v + 5*d - 6 = -0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*r - 3. Suppose 4*c + 4 - 2 = r*b, b - 9 = -2*c. Factor 66*g**2 - 30*g + 80*g + 15 + 30*g**3 + 10*g**4 - 6*g**2 - b*g**4.\nAnswer: 5*(g + 1)**3*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 - 20. Suppose -24 = -a - p. What are the prime factors of (-9)\/(27\/a)*69?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43643527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**12)**(2\/35)\/(u*u**5\/u*u*u*u*u*u*u*u*u*u*(u*(u*u*u**(-2\/11))\/u)\/u))**(-1\/2) assuming u is positive.\nAnswer: u**(5441\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6 + -2.6. Let c = -2.05 - a. Let j = 79731 + -79724. Is c smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.15 - -0.15. Let p be (-1)\/3*(-3)\/(-5). What is the second biggest value in 2, b, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -446 + 150*i**3 - 965*i**2 - 1979 - 5*i**4 + 1145 - 2400*i.\nAnswer: -5*(i - 16)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126, 2, -1\/4 in ascending order.\nAnswer: -1\/4, 2, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -687, -688, -689, -690, -691?\n\"Answer: -x - 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u + 2. Let q(p) = 3*p**2 + 19*p + 2. Calculate -g(h) + q(h).\nAnswer: 3*h**2 + 17*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -29*h + 44. Determine u(5).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125.8922763 seconds to weeks.\nAnswer: 0.00020815521875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wdww when four letters picked without replacement from {d: 16, w: 4}?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5 = 1. Let t(s) = -3*s**3 + 4*s**2 + 4*s + 2. Is t(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -1 + 5 - 4*h - 2 + 2*h. Let o be m(2). Let l(y) be the first derivative of -5*y**2\/2 + y - 1. Let d(t) = t. What is o*l(k) - 11*d(k)?\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 + 82*b + 89. Let m be w(42). Solve 3*z + z = 3*f - 4, 5*z = -3*f - m for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*z = 5*a - 30, -4*z - a + 57 = 0. Let i be (12\/z)\/(4\/30). Suppose i*w - 7*w = -15. Solve w = -4*y - y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggeorogigooggi. Give prob of sequence ii.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, 4, -666, -28, -4 in descending order.\nAnswer: 4, -4, -5, -10, -28, -666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1966591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(5\/6)\/((j\/(j\/j**(1\/3)))\/j))**(3\/35)\/((j**(-7)\/j**(1\/4))\/((j\/(j\/j**(-2\/19)))\/j*(j**(1\/4)\/j*j)\/j*j)) assuming j is positive.\nAnswer: j**(4338\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(1\/6)\/p*p*p**(-2\/13)\/p assuming p is positive.\nAnswer: p**(1\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 12. Let q(v) = 2*v - 21. Let x be q(r). Let f(i) = -6*i + 1. What is the tens digit of f(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*b**3\/7 + 443332*b**2 - 31595240*b\/7 + 806000 = 0.\nAnswer: 2\/11, 10, 141050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1316564 and 5734?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -136 - -132. What is the common denominator of -11\/192 and 15\/(-90)*102\/t?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -95 (b) 3 (c) -5\/4 (d) -20.464 (e) 0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0943658 rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1099, 2201, 3303, 4405, 5507, 6609?\n\"Answer: 1102*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a millimeter in micrometers?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**3\/13 + 68*k**2\/13 + 3242*k\/13 + 244 = 0. What is k?\nAnswer: -26, -1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.45 plus 0.2?\nAnswer: -11.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -58, -4, -2, -33, 0, 76.\nAnswer: -58, -33, -4, -3, -2, 0, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 232*d**2 + 229*d**2 - 11*d**2.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(32376\/(-92452)) - 180\/1710 - 17.\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(7) + sqrt(112)*-2) - (sqrt(637) + (2*(sqrt(637) + 3))**2))*-3 + 2 + 1.\nAnswer: 3678*sqrt(13)\/7 + 7755","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/((m**27\/m)\/m)))\/(m\/(m*m**(1\/2)\/m*m*m*m)) assuming m is positive.\nAnswer: m**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 936434 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -3502661\nAnswer: -175133.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20793 - 19841 + 36311)*(2 - t + 1 - 1).\nAnswer: 4323*t - 8646","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/14)\/((-36)\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*v**2\/9 + 44356*v\/9 + 17744\/9.\nAnswer: -2*(v - 4436)*(5*v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**2 + 11*o**2 + 12*o**3 - 5*o**2.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14411 + 6376. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 - 64. Is f greater than or equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**3 + 0*a**3 - a**3 + 6*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmmmmmvmvvmmmmmmvvm.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.48019*-2\nAnswer: 0.96038","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + -4*(-4*(sqrt(931) + sqrt(931) + -1) + (sqrt(931) - (-5 + (sqrt(931) - (sqrt(931) + 2 + sqrt(931))))))**2)*-4 + 1.\nAnswer: -88704*sqrt(19) + 3229225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 4*g - 40, -17*m + g = -21*m + 34 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3415 in -0.2, -0.09, 6, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 308, -17, -1 in descending order.\nAnswer: 308, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 648592552 and 1.\nAnswer: 648592553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 14, t: 5}. What is prob of picking 2 z?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2341565 divided by -43.\nAnswer: -54455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + w - 6*w + 6*w - 3*w - w + w - 1 + 1 + (w + 0 + 0)*(2 + 0 - 1) - 4 + 2*w + 4)*(-14 - 5 + 4)*(2 + 1 - 4)*(-2 + 0 + 3).\nAnswer: 75*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1432, -2, 0.\nAnswer: -2, 0, 1432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3640 divided by -13\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**4 - 28*j**3\/3 + 14*j**2\/3 + 16*j = 0.\nAnswer: -1, 0, 8\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14339?\nAnswer: 13, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 7. Let x be -12*h*(-1)\/(-2). Let y = 61 - x. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 24 = 5*n, 0*n = -3*n - 9. Let c(t) = -t**2 + 6*t. Let j = 9 - 4. What is the remainder when c(j) is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-1)\/1*-1*(-273)\/39.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3254*a**2 - 213*a + 1382. Is f(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -964 - -1362. Let b be (17 - 2)\/5 + l. Let f = b + 368. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + -8 - (-177 - -25) - 42?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -3\/7 (c) 0 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dedd. What is prob of sequence ed?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 478 - 478.1. Put 4, 2\/13, q, 0.02 in ascending order.\nAnswer: q, 0.02, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -833*f**4 - 45*f**4 - 38*f**4 + f**4 - 1 + 1 + (0*f**2 + 3*f**2 - 2*f**2)*(-f**2 + f**2 + 2*f**2).\nAnswer: -913*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 24. Let q be 3\/(-2)*(-2)\/(-6). Which is the closest to l? (a) 2\/13 (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 5 + 4)*(2*n - n - 2*n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1755889 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 284 and 188984?\nAnswer: 13417864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2\/2 + 35851713*l\/2 - 7170343.\nAnswer: (l + 7170343)*(5*l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -666 - -672. Calculate the greatest common divisor of i and 190.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 7:46 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7571807, 7571805, 7571803, 7571801, 7571799, 7571797?\nAnswer: 7571795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3.7591452ns?\nAnswer: 0.000000000001044207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 5:52 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 6*z**2. Let o(b) = -8*b**2 - 487*b + 67. Let s be o(-61). Let f(h) be the first derivative of 0*h**2 + 0*h - 4\/3*h**3 + s. Determine x(f(r)).\nAnswer: 96*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/((sqrt(60) - sqrt(540))\/sqrt(10) - sqrt(6)))\/((-2*sqrt(192))\/sqrt(6)).\nAnswer: sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) + sqrt(18)\/(1*sqrt(2)) - (sqrt(72)\/sqrt(4))\/sqrt(2))\/((sqrt(48)*2)\/sqrt(4)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 - h**2 + 517*h**3 + 4*h**2 + 410*h**3.\nAnswer: 927*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d**2. Let h(c) be the third derivative of c**5\/30 + 34*c**2. Give h(k(i)).\nAnswer: 72*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = o + 9, 0 = -5*s + 2*s - 3*o + 3. Let k be 1\/(s\/(-6)*1). Let a = k - -13. 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 0 + (-8 - -40) + -5?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*(-16)\/1440*(-2)\/3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -77599474*y**4 - 77599470*y**3 + 77599478*y**2 + 77599470*y - 4 = 0. What is y?\nAnswer: -1, 2\/38799737, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - sqrt(170)*-2)*5 + sqrt(170)*2*-4)\/((sqrt(110)*1)\/sqrt(11) + (sqrt(30)\/sqrt(3) - sqrt(10))*1 + sqrt(10)) + 0.\nAnswer: 7*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*y + 2 - 2)*(2*y - y - 2*y) - 60*y**2 + 34*y**2 - 154*y**2)*(9*y - 7*y**2 + 6*y**2 - 8*y).\nAnswer: 182*y**4 - 182*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.142 + 0.16884. Round g to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 105*f**3*u**3 + f**3*u**2 + 2*f**2 + 34*f*u**3 - 15*f*u wrt f?\nAnswer: 630*f*u**3 + 6*f*u**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.033752 and 1910.\nAnswer: 64.46632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**(-30)*(r\/((r**(2\/3)\/r)\/r))\/r**(-3))\/(r**(-5)*r*r\/r**0)**(2\/13) assuming r is positive.\nAnswer: r**(226\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 2*i + 8*i + (-2 + 0 + 1)*(3*i + 0*i - 2*i) - 5*i + 4*i - i)*(4 - 5 + 0).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.684 - 1.226. Let s = l + -0.09. Put -2, s, -0.5 in increasing order.\nAnswer: s, -2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357*z = -352*z - 4*p - 76 - 83, 5*p + 470 = 20*z - 5*z for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5.2 * -64\nAnswer: -332.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 12 = f. Let u = 9 - f. Let r(z) = z**2 - 5*z - 6. What is r(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1. Let m(f) = 4*f**2 - 24. Suppose -5*i - 104 = -24. Let j = i - -18. Let a(x) = j*s(x) - m(x). Find the first derivative of a(o) wrt o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -52? (a) -0.5 (b) -2872 (c) -31 (d) -2\/3 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 1. Let b be ((-2)\/4)\/(t\/6). Let o be 197999\/b - 1\/3. What is o rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 12. Let z = -7 + b. Let s = z + 5. Solve f + s = t, -5*f - 5*t + 2*t = 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.18049 - -0.02007. Let u = v + -157.61056. Let b = 159 + u. Round b to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 14095.57ml?\nAnswer: 14.09557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2. Let i be ((-4)\/6 + 1)\/(4\/24). Let j(x) be the first derivative of -7*x**2 - 2*x**2 - 7*x**2 + 9 + 0*x**i. Calculate j(r(z)).\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -3846560711 to the nearest 1000000.\nAnswer: -3847000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8901, 17803, 26687, 35547, 44377?\nAnswer: 53171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 - 64.8. Let u = -10 - s. Let n = -4 - u. What is the second biggest value in -2\/5, -5, n?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -41*h**2 - 2*h + 1. Let w = 3 + -2. Let q be r(w). Let n be q\/(-8) + (-2)\/8. Calculate the highest common divisor of 15 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3\/7, 0.3, 1\/5, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -496980\nAnswer: 1\/248490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*r - 4. Put -4, -5, r, -11 in ascending order.\nAnswer: -11, -5, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 12:18 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aqaaamqaqqaxqaqq?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6*m = -20, -3*m + 87 = 5*k. Let g(j) = j**3 - 7*j**2 - 7*j + 6. Let h be g(9). What is the highest common factor of h and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.5228 + 0.0628. Let a = 0.16 + k. What is a rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -0.1. Let i = 2.9 + 2.6. Let x = i + -5. Which is the closest to r? (a) -2\/3 (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 12*q**2 - 88*q + 30. Let n be z(-17). What is n rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-380)*(16\/(-6))\/2.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -11*g**6\/30 + 6*g**2 - 11*g. Differentiate j(m) wrt m.\nAnswer: -44*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 10:58 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 39. Let q be m(0). Suppose -4506 = -10*k + 2184. Suppose -27*j - 357 = k. Which is smaller: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i - 6*i - i + (2 + 3 - 3)*(-39 + 39 + 3*i) to f*i + q and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4 = -16. What is the second biggest value in 0, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 503 divide 3205753804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -949740048004 + 949740048004 - 4*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 5*o + 1, 3*o + 54 = 4*k - 2*o. Suppose -k*g + 8*g = -3. Let d = -102 - -405\/4. Which is the second smallest value? (a) -2\/5 (b) d (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -158\/3 - -53. Which is the nearest to 0.2? (a) 4\/7 (b) k (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(432) - 2*sqrt(432)).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23158576.\nAnswer: 2, 7, 109, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 c, 1 q, and 1 l when four letters picked without replacement from qnpoclqo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5182964, -5182971, -5182986, -5183009, -5183040, -5183079?\n\"Answer: -4*n**2 + 5*n - 5182965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p**2. Let i(a) be the first derivative of -a**2 + 2*a + 80. Give q(i(y)).\nAnswer: 16*y**2 - 32*y + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50532 - 33372 = -153*s - 721*s for s.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1020)\/(-32) + (-6)\/(-48). Suppose 3*a - 8 = -z. Put a, -3, 4 in descending order.\nAnswer: 4, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {e: 11, f: 2, s: 1, b: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j**0\/j)))\/((j**(-3)*j)\/j)*(j\/(j\/(j**(-1\/4)*j)))**(-2\/123)*((j**(-2\/3)*j)**(-1\/17))**44 assuming j is positive.\nAnswer: j**(8887\/4182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 14 = a, 5*a - 5*k + 30 = 55. Solve -a*r + 9 + 15 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 21 - 31 = 0. Let g = -0.08 - 3.92. Which is the nearest to r? (a) 0.1 (b) g (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 - 4. Let y be p(2). Suppose -n - 25 = y*n. Let k = -6 + 4. What is the second smallest value in 0.3, n, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/((-27)\/33))\/(1\/3). Suppose -o*n = -4*n + 504. Let k = n - -152. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 13) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 4*x - 4. Let f(t) = -4 - t**2 + 3*t**2 - 12*t - 1 - 7. Let s(i) = -3*f(i) + 8*m(i). Is 11 a factor of s(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5, 2*u - t + 7 = 2*t. Let m(w) = -565*w - 20. What are the prime factors of m(u)?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -200, -284, -352, -398, -416?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.725942 minus 154616385?\nAnswer: -154616384.274058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*2*(-3)\/6. Let c = 2 + m. Suppose c*s - 6 = 3. Solve -4*t + w - 3*w = 2, 5 = -5*t - s*w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.92 - -3.05. Let g = p - -0.07. Let c = -0.8 + g. What is c rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 8:56 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/76092 and 38\/765.\nAnswer: 1141380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -8*m - 5, 2*m - 3*m - 89 = -0*j + 12*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-429)\/(-539))\/(255\/(-595))\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19866, -158982, -536584, -1271916, -2484222, -4292746, -6816732?\n\"Answer: -19874*h**3 + h**2 - h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -29259 divided by -3251\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*k**4 + 2152260*k + 16008200 wrt k?\nAnswer: 12*k**3 + 2152260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101 - 7*c + 5*c + 3*c - 4*c to the form z*c + n and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 9*r + 3. Let h(f) = -46*f - 16. Give -2*h(i) - 11*l(i).\nAnswer: -7*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 526, 2037, 4746, 8785, 14286, 21381?\nAnswer: 30202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, x: 5, t: 1, q: 2, y: 1}. Give prob of sequence qxt.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 273*z + 1665. Give q(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 5 + 10)*(7*o + 4*o**2 - 7*o).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (26*((-255)\/(-442))\/5)\/((-2)\/62)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1. Let n be (a + 2)\/((-1)\/(-4)). Suppose 29 = n*q + 5. Solve -5*c = -1 + q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.225362 millennia to months.\nAnswer: 38704.344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - i - 63 = 0, 0 = -2*d + 4*i - 390 + 510. Solve -4*c + 5*h - d = -87, 3*c = 4*h + 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*p + 105*b**3*x**2 - 2*b**2*p*x**2 + 2*b*p*x**2 + 4*p wrt b.\nAnswer: -6*p + 630*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -11*o + 18*o. Suppose -v - 245 = -2*x - 3*x, -o*x - 5*v = -175. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5642, -8428, -5490, 6034, 29006, 66288, 120742, 195230?\n\"Answer: 477*d**3 - 6125*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a\/((a**(8\/7)\/a*a)\/a)*a)\/a*a))\/(a*a*a*a**(-17)))**(-10\/3) assuming a is positive.\nAnswer: a**(-850\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 13*m + 24. Let k be d(-4). Let a(w) = w**2 - 5*w + 31. Does 27 divide a(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 7*g + 10. What is the remainder when b(-4) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08935 take away 0.047767?\nAnswer: -0.137117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 30. Let l = 48 - p. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 92*n - 23. Let m(g) be the third derivative of 31*g**4\/24 - 4*g**3\/3 + 478*g**2. Determine 17*m(w) - 6*u(w).\nAnswer: -25*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x**2 + 2 - 2)*(4966*x + 715*x - 992*x + 2850*x - 952*x)*(0*x - 7*x + x) to w + t*x**2 + q*x**3 + d*x**4 + h*x and give d.\nAnswer: 39522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1861320481.\nAnswer: 1861320481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00223724753 to 7 decimal places.\nAnswer: 0.0022372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173089*p + 173087*p + 4*x - 90 = 0, 5*p + 4*x - 15 = 2*x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4, -18, -28, -34, -36?\n\"Answer: 2*w**2 - 20*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 7*o + 4*o)*(-1 - 3 + 2) + (-6*o + 9 - 8 + 8*o)*(-2 + 0 + 5)*(-2 + 0 + 3).\nAnswer: 10*o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 150 + 150. Let y(l) = 2*l**2. Give y(k(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 525 and 750.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1512431285 to the nearest integer?\nAnswer: 38890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-7 + 15\/10 + 5). Let b(c) = -c**3 - 9*c**2 + 10*c + 1. Give b(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (0 + -7 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, v: 5, c: 2, l: 2, u: 4}. Give prob of picking 1 v and 1 o.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 76231 (c) 6 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007854 to four decimal places.\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -11003121?\nAnswer: 11003120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84341.03 millimeters to centimeters.\nAnswer: 8434.103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1302\/22320*-60*(-3)\/(357\/4).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/16)\/((-3)\/(-12)). Let d = -1.96 - -2. Let q = d + 0.46. Which is the third biggest value? (a) q (b) l (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 98 = -2*b - g, -3*b - g - 60 = 0. Sort -9, b, 0.5, -2.\nAnswer: b, -9, -2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 1021.\nAnswer: -28\/1021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 81.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - b**2 - 4*b + 10. List the prime factors of c(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 + 74 + 2*n - 84*n**2 - 35*n**2 - 76 to the form c*n + d*n**2 + p and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 9*w. Let h(k) = -73*k - 33. Let v(y) = 78*y + 36. Let s(d) = 12*h(d) + 11*v(d). Determine s(u(f)).\nAnswer: -162*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 181 + 398 + 2*q**2 - 28 - 77 + 6*q**3 to the form i + p*q**3 + f*q**2 + m*q and give i.\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-20))\/((b\/(b**(7\/4)\/b))\/b)*(b\/(b*b*b**(-19)))\/(b\/(b\/b**(-1\/3)*b)) assuming b is positive.\nAnswer: b**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 96.80992 years?\nAnswer: 0.09680992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282 = 5*f + 2*y - 278, f + 4*y - 146 = -154 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156928824.\nAnswer: 2, 3, 13, 389, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 - 1. Let r(g) = g**2 + 2. Determine -3*r(i) - 2*y(i).\nAnswer: i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 150, r + 141*a + 141*a - 293*a - 347 = -17 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -83*x**3 + 1434447*x**2 + 171726131?\nAnswer: -249*x**2 + 2868894*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 29*r + 214. Let v be w(15). Suppose 7*f + 12 = 5*f + 4*n, -f - v*n + 12 = 0. Solve 3*i = -0*i - f*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(450)*3)\/(3*sqrt(9)*-3*-2).\nAnswer: -10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -217, -222, -239, -274, -333, -422, -547?\nAnswer: -714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 551 a factor of 36714432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1937 or 129780\/67?\nAnswer: 1937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 170968 or 170967?\nAnswer: 170967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -2479.17.\nAnswer: -12395.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 15 = 0, 9*z - 2*w + 6 = 25*z - 6*z - 8*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - x - 6, -3*x - 5 = -6*z + 5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5080*v - 25405. Calculate o(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 0 + -8 + 16\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, u: 6, x: 1, a: 3, i: 8}. What is prob of picking 3 i and 1 a?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 2\/15, 2, 553.384, 1\/8, 3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 192, 638, 1512, 2958, 5120?\nAnswer: 8142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 4. Find the second derivative of 2*k**2 + 0*k**2 - 4*k + k**r wrt k.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 322 - 302. Is 5574\/9*210\/x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - z + 2 = 0, 4*z - 2 = 3*r. Suppose 56*x - 29*x = 432. Suppose 2*h - 2*t + 9 = -5*t, -2*h + 2*t + x = 0. Sort h, 5, 1, r in decreasing order.\nAnswer: 5, h, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 + v + 8. List the prime factors of j(-4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -w**2 + 89*w + 1880?\nAnswer: -2*w + 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 1 (b) -30 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, r: 2, t: 1, c: 4, i: 1}. What is prob of picking 1 t, 1 c, 1 i, and 1 r?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -88. Let u be (2\/4)\/(6\/c). Find the second derivative of 2*m - 4 - 2*m**u - m + 4 wrt m.\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 80 = 4*n. Let g be (-1)\/(-4) - 15\/(-4). What is the greatest common factor of n and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-216)*-2)\/(14\/(-1260))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 2*g + 2. Let f(t) be the first derivative of -2 - 1\/2*t**2 - 1\/3*t**3 - t. Let v be f(-2). Calculate h(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*l - 3*l + 0*l)*(-6 + 4 + 1)*(-l + 1 - 1)*(-39 + 18 + 10)*(-3*l + 0*l + 0*l).\nAnswer: 231*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4235, 16934, 38099, 67730?\nAnswer: 105827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 6. Let v be n(-5). Let d be ((-1)\/(-3)*1)\/v. Let j = 2 - 1. Which is bigger: d or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31563 + 634. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/(-9))\/((-5)\/3) + -1. Let z be (2\/16 - v) + 513\/456. Sort -4, -164, z.\nAnswer: -164, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1407129791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*d + 18*d + 31*d)*(3 + 1 - 2) + (-2*d + 5*d - d)*(3 + 0 - 4) in the form u*d + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 9 - 7 = -3*k, 2*z - 26 = -3*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10579824\/7 + 1499453. Let z = -11994 - q. Let l = z + 44. Find the common denominator of 1\/7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/5)\/m)**(-2\/71) assuming m is positive.\nAnswer: m**(12\/355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2715674411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-36)\/48)\/(3\/(2*-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23064915 or -23064934?\nAnswer: -23064934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 - -45. Factor -9 - 13*n - n**u + 13*n - 7*n**2 - 15*n.\nAnswer: -(n + 1)*(n + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*v + 6 + 8 = 0, -2*z = -5*v - 18. Suppose z*j + 2 = -2. Let i(o) = 19*o**3 - 2*o - 1. Calculate i(j).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 35*j + 181. Calculate m(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4)*1*-14. Let n = j + -5. Suppose 2*l = f + 7, 0*l - 7 = -3*l - n*f. Solve -l*g - 20 = m + m, 3*m + 24 = -3*g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/sqrt(54)*-2 + -3 + (sqrt(300)*1)**2 + 3.\nAnswer: -2*sqrt(3)\/3 + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*z + 6 = 0. Let j(y) = -y**3 - 6*y**2 - y - 3. Let b be j(-6). What is the third derivative of 3 - 2*p**b - 3 + 2*p**z wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 6 - 16. Let m(g) = g**3 - 8*g**2 + 16*g - 32. Let a be m(6). Let b(f) = 20*f - 8. Let o(v) = -13*v + 5. Determine a*o(p) + n*b(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-6*(sqrt(16) + (3*sqrt(16)*1 - sqrt(16))))\/((sqrt(40)*-2)\/sqrt(5)*-6))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*m**2 + 13*m**2 + m**3)*(0 + 9 + 0).\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.5312 times -0.3\nAnswer: 0.45936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -210, -461, -812, -1263, -1814, -2465?\nAnswer: -3216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -92, -2, -0.064, -22, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9552512729933 + -0.2.\nAnswer: 9552512729932.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 6. Let j be (a\/8)\/(2\/8). What is the third derivative of 3*f**4 + 2*f**6 - 3*f**j - 3*f**4 wrt f?\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 4*w - 55, w - 11 = 15*v - 16*v. Solve -3*y - 4*z - v + 12 = 0, y + 4*z - 3 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1980047747.9999318 + 1980047299. Let z = 449 + g. Round z to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 5, 3201 in increasing order.\nAnswer: 5, 28, 3201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -105 + (9\/(-3) - -3). Let w be m\/(-45) + (-2)\/6. Find the third derivative of -11*x**w - 8*x**3 - 2 + 16*x**3 + 2 wrt x.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**8\/7560 - v**7\/1260 + v**6\/810 + v**3\/2 + 4*v**2. Let w(t) be the first derivative of s(t). Determine p so that w(p) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 95 = 3*p + 3*t, -20 = -4*t. Suppose 19 - 9 = 2*s. Suppose 0 = -4*j + s*j - p. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-18)\/(-27)*4\/3?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(208) + 3)**2 + -2 + ((sqrt(832)*-2)**2 + 2)*-6.\nAnswer: -19763 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*((u\/u**2)\/u)\/u*u)\/u**(-4))\/(u**(1\/4))**(-37)*(u**(-4)*u*u)\/(u\/(u**(1\/5)*u))*(u**(-1\/4))**(1\/30) assuming u is positive.\nAnswer: u**(1253\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15933, 31779, 47625, 63471, 79317?\nAnswer: 95163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -437 - -439. Let l be (25\/25)\/(t\/10). Solve 2*m - 13 = -3*s + 6*s, 13 = -s + l*m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1539532474?\nAnswer: 2, 769766237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -135 divided by -27\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -16\/405?\nAnswer: -16\/405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 12) to base 6\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2) + (-10)\/((-280)\/12)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/2222 and 29\/8?\nAnswer: 8888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/11829 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 6*x + 68. Calculate the remainder when 75 is divided by n(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 + 86. Which is smaller: 39 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + 1. Suppose f = -b + 16. Is 140 + b + (0 + 2 - 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*h + 3*h + 975 = 0, 3*h + 230 = p. Suppose -2*r - f = -65 - 30, 5*r = -5*f + p. List the prime factors of r.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2. Let p(i) = -58909596*i**2. Determine p(b(x)).\nAnswer: -235638384*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j = 96 + 177. Let q(d) be the third derivative of -25\/6*d**4 - 1\/10*d**6 + 0 + 2\/525*d**j + 0*d**3 + 5*d**2 + d**5 + 0*d. Factor q(g).\nAnswer: 4*g*(g - 5)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-12 + 30))*(-4)\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 8*q - 7. Let x be c(-2). Suppose -4*w - 2*u + 44 = -6*u, x*u + 10 = 0. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**2 + 10*n - 51. Let m(f) = 14*f**2 + 28*f - 153. Let h(q) = 4*m(q) - 11*o(q). Find the first derivative of h(y) wrt y.\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-60))\/(1\/((-10)\/22)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*n - 3*n - 2*n + (n + 2*n - 2*n)*(4 - 3 + 1) + n + 10 - 10.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 1 - 0, 0 = -n + 4*l - 3. Let o be 3\/2*(-200)\/(-60). Suppose o*j + 2 = 12. Solve j*g - n = 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a micrometer in nanometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*j**2*n**2 - 11*h*j**2 - 24*h*j - 673*h*n + n + 27 wrt n.\nAnswer: -2*h*j**2*n - 673*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 120 = -4*n, 0 = -4*n - 6*f + 3*f + 120. Calculate the remainder when 89 is divided by n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*y**2 + 4*y**2 - 2*y**2)*(0*y - y + 0*y) + y**3 + 2*y**2 - 2*y**2)*(6840 - 3667*y + 6844 - 13684).\nAnswer: 3667*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (-1)\/2)\/((-5)\/(-10)). Factor 9\/5*p**2 + 12\/5 + 36\/5*p - 3*p**r.\nAnswer: -3*(p - 2)*(p + 1)*(5*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**0)\/w)\/((w\/(w\/(w*(w**(1\/7)*w)\/w*w)))\/w))\/(w\/(w**(2\/3)\/w))**(-3\/49) assuming w is positive.\nAnswer: w**(-52\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvg when three letters picked without replacement from vgggovooooxvg.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g - 6. Let t be a(-4). Let z be -1*(6\/3 - 2). Let y = t + z. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31547913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164484678 and 846.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 10*n - 86. Calculate w(12).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 17. Suppose 6583 = 4*d - 3*g, -f*d - 2*g + 5026 = 93. Suppose -y - d = -6*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 76. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10944 bigger than -109437\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u**3 - 16548*u**2 - 49705*u - 21. Calculate z(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 13*i**2 - 5*i + 2. Let m(l) = l. Let h be 49\/14*(-24)\/(-14). Let c(p) = h*m(p) + j(p). What are the prime factors of c(-1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1500*f - 3*f**2 + f**3 - 1501*f - 11*f**4 + 0*f**4 + 1 in the form j + v*f**3 + a*f + y*f**4 + p*f**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0746023792 less than 47.785?\nAnswer: 47.8596023792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43315879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d - 1. Let x(q) = q + 2. Suppose 0 = -3*h - 2*l + 1, 5*h + 0*l - 10 = -5*l. Calculate h*y(b) - 4*x(b).\nAnswer: 2*b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124 + 10130323?\nAnswer: 10131002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/129*(105\/63)\/5?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43748207.\nAnswer: 157, 278651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67.18 + 69.08. Which is the nearest to -0.01? (a) m (b) -0.02 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 642*g**3 - 420956*g**2 - 604562933 wrt g.\nAnswer: 1926*g**2 - 841912*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**4\/108 + 23*c**3\/27 - 152*c**2\/9 + 1726*c. Factor z(w).\nAnswer: -(w - 38)*(w - 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 1, -0.15, -0.25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21101421 + 13430?\nAnswer: -21032441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 537934 = -36*m + 27566. What is the greatest common divisor of m and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.14, -5, 12, 0, -14, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1064116 is divided by 3721.\nAnswer: 3631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 608 and 1131336.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*11\/((-1089)\/(-6)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.066 - 3.494. Let d = u + 3.56000209. What is d rounded to seven dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 31, 47, 77, 127, 203, 311?\n\"Answer: z**3 + z**2 + 6*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6563789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**3 + 6*o + 4*o - 10*o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -8\/11, 4, -0.4, 3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 1 + 13\/6. Let j = 4.1183 + 0.8817. What is the smallest value in -4, j, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + -2 + -5*2*(2 + sqrt(245)))*2.\nAnswer: 92 + 280*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a04 + 12aa?\nAnswer: 4203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 23*s**2 + 2134*s - 309. Calculate l(-95).\nAnswer: 4536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -58\/11, 0, -1, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 4*x + 2*w + 4, -15 = 3*w. Let u(s) = -2 - 3*s - 12*s + 9. Is u(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -726e0 - -7?\nAnswer: -726d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 2, -3, 0, -4 in descending order.\nAnswer: 2, 0, -3, -4, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from cjcjcppjjjpjchpc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pi when two letters picked without replacement from {i: 4, r: 1, p: 2, d: 1, t: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22052762 is divided by 1160671.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 26, -1959186 in ascending order.\nAnswer: -1959186, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 238426 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 16, y: 4}. What is prob of picking 2 s?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) -45 (c) 14149 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -114749 take away -3.894?\nAnswer: -114745.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**5\/60 - 7*x**4\/24 - 3*x**3\/2 - 3*x**2. Let o(y) = -y - 3. Let p be o(3). What is b(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(9\/4)*(-300)\/200.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12219*m + 12221*m + 5*d - 110, m - d = 20 + 21 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/64513776 and -23\/209763.\nAnswer: 580623984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*n + 24. Suppose -n*c - 19740000 = 6*c. What is c rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjjxlbbbx. Give prob of sequence lb.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*n*o**2*x**2 + 76*n*o*x**2 - 2*n - 188756*o**2*x**2 + 5*x**2 wrt o.\nAnswer: 16*n*x**2 - 377512*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 14) to base 10.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*u**4 - 118309*u**3 + 8*u**2 + 6416*u - 420 wrt u.\nAnswer: -36*u**2 - 709854*u + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -115.53 times 45.51\nAnswer: -5257.7703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (393*r**2 + 22*r**4 - 393*r**2)*(-2*r + 2*r - 4*r) + (2*r**2 - 2*r**2 - 2*r**4)*(0 + 0 + r).\nAnswer: -90*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2323648?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15, 8.7, 0.2 in decreasing order.\nAnswer: 8.7, 0.2, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1174174 (base 8) to base 11.\nAnswer: 202822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3\/40 - 7\/120. Let r(v) be the third derivative of 0*v - 1\/30*v**5 + 0*v**4 - u*v**6 + 0*v**3 - 3*v**2 + 0. Find the third derivative of r(i) wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-76 - 1 - 1) + (14 + (-71 - -23) - -45)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooh when three letters picked without replacement from {o: 8, h: 3}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -54.1 from 4045.\nAnswer: 4099.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*c**4 + 1 - 2*c + 0*c + 15*c**4 to the form u*c + z*c**2 + r*c**3 + q + x*c**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 27 = -3*u, -2*n - 7 = 5*u - 24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-2730)\/24))\/(6\/15).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by -102.\nAnswer: -35\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 1086*i**2 + 112519*i - 945. Determine t(-970).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**2 + 39*i - 35. Let z be v(12). Let p(u) = 12*u - 13. Let g be p(z). What is the closest to 0.1 in 3, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 7998703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 times -315733?\nAnswer: 978772.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 4. Suppose 0 = -2*o + 12 - z. Suppose -60 = -o*q + 3*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7*c**3 - 4*c**2 - 4*c + 14. Let q(j) = 9*j**3 - 5*j**2 - 4*j + 18. Let a(o) = -4*d(o) + 3*q(o). Calculate a(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - 2*k + 3*k)*(-k + 3*k + 0*k)*(1 + 3 - 2).\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 0*b**2 + 1\/12*b**4 + 1\/60*b**5 - 1\/6*b**3 + 0 + 2*b. Let f(o) be the second derivative of t(o). Differentiate f(n) wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvvvvzvzbzvxvzvc. Give prob of sequence czx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v + 6. Let x(u) = 6*u + 13. Let n(y) = 13*k(y) - 6*x(y). Let a(p) = 48 + 44 - 92 - p. Give n(a(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/25, 28, 0, 1, -1, -52 in decreasing order.\nAnswer: 28, 1, 0, -2\/25, -1, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 662318 - -630.\nAnswer: 662948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 4 (c) 7 (d) 12\/163\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 165961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1005893.6 to the nearest 1000.\nAnswer: 1006000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**1*k\/(k*k**3)*k*k*k)**29)**(-2\/143) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -3 - (-195 - 3 - -95).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(1\/15))*d**(-4\/9))\/(d*d**(-4\/7)*d**(-4)*d)*d\/((d**(3\/2)\/d)\/d)*d*d*d\/(d**9*d)*(d**0)**(-1) assuming d is positive.\nAnswer: d**(-2167\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**20)**13)**(3\/35) assuming x is positive.\nAnswer: x**(156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614501 is divided by 307237?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -128 + 16. Let t = -73 - c. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/3 or -298890?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12732 is divided by 858.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/3)*k**(2\/7)*k)\/k**(-36)*(k**(-1\/6)*(k*k**(5\/2))\/k)\/((k\/k**(4\/3))\/k**(-4)) assuming k is positive.\nAnswer: k**(254\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5864 = 3*p - 2050. Let w = -52739\/20 + p. Calculate the common denominator of 43\/4 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**2 - 2. What is q(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*v - 8. Suppose -v*d - d = -188000. What is d rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpqq when four letters picked without replacement from qpppqppqqpp.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1268 - 624 - 2*v**2 - 644 + v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 6 = -3*j - 2*b, -2*j + 44 = -4*b. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - 43.99999845. What is q rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 611, 560, 475, 356?\n\"Answer: -17*b**2 + 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 15) to base 6.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 17 = 7. Let v be ((-2)\/(-3))\/((-4)\/p). Let n = -8 - -11. What is the third biggest value in v, 0, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hghenagkeagaheheehnh. What is prob of sequence khh?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 104285786 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2186 = 3*a, a + 28*b = 23*b + 734. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -247*w + 237*w. Suppose -4*g + 11*g - 21 = w. Sort 0, -5, g.\nAnswer: -5, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 330564 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326*n + 350*n = 453576. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9790 - 391563\/40. What is the common denominator of 39\/200 and s?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9074.08 + -9075. Let q be 4 + (-3 - 3) + 6. What is the closest to s in -0.5, 1\/6, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 105 = 9. Let x be -3*(16\/c - 2). Solve -x*t + 4*t = -6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 - 7*f. Let z(i) be the second derivative of -i**4\/12 + i**3\/3 + 16*i. What is -6*v(k) - 21*z(k)?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 259925 and 11850?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.68489 and 8.442.\nAnswer: 7.75711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5*(-1)\/(-6))\/((-35)\/(-49)). Does n = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287*q - 63*q - 86*q - 172 - 55.\nAnswer: 138*q - 227","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 9*a**3 - 5*a - 94. Let c(y) = 26*y**3 - 14*y - 281. Let u(v) = -4*c(v) + 11*r(v). Differentiate u(d) with respect to d.\nAnswer: -15*d**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143 - -203. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 6*p - 4. Let b(w) = w**3 - 8*w**2 + 18*w - 3. Let z be b(5). Suppose 7*m - z*m = 15. Determine u(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 0*h - 2*h + 54*h**2 - 55*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2, 5, 18, 47, 98, 177?\n\"Answer: r**3 - r**2 - r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdwyyyyyywyyydwww. Give prob of picking 2 w.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 284, -3\/7, -6 in increasing order.\nAnswer: -6, -3\/7, 0.7, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 13 - (4 + -2)) + -2 - 27.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -658 - -658. Suppose 690 = l - j*l + 2*z, 0 = z + 2. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rggw when four letters picked without replacement from rrgawaeargegrg?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3252.998 years in decades?\nAnswer: 325.2998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 5, 284622?\nAnswer: 284622","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-11)*x**(2\/45)\/x*x**(-6\/13)\/x**(-7\/2))**(-31) assuming x is positive.\nAnswer: x**(323423\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 6*b - 6. Let x be f(4). Suppose -x*q - 247 = -6*v + 3*v, -5*q + 291 = 4*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2607849, -10431399, -23470655, -41725623, -65196309, -93882719?\n\"Answer: -g**3 - 2607847*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -482389, -964780, -1447171, -1929562, -2411953, -2894344?\nAnswer: -3376735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 302590231?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = -w + 7*q - 5*q, 5*w = q - 281. Put -2, -1, w in ascending order.\nAnswer: w, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q + 2916 + 1960 = 0. Calculate the highest common factor of q and 1378.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 202*s - 197*s + w - 24, 0 = 3*s - 7*w + 142 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 129999 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1380234 divided by 998\nAnswer: -1383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48 - 6 + 8)*(-2 - 3 + 3)*(0*m + 3*m - 5*m) to v*m + n and give v.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 6*i + 11. Let f be q(8). Let s be ((-69)\/(-6))\/((-3)\/(-6)). Suppose 21*m = s*m. What is the biggest value in f, m, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + 4)*(0 + 0 - 4*w**3) + w**3 + 0*w**3 - 3*w**3 as m + z*w + d*w**3 + c*w**2 and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/4*444\/(-10). Let x = l - 106. Let v(o) = o**3 + 6*o**2 + 6*o - 5. Let z be v(-4). Solve z*a - x*a - 8 = -t, 5*a = -t - 27 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + ((sqrt(891)*-1)**2 - sqrt(891)) + sqrt(891) + 3 + -1*sqrt(891).\nAnswer: -9*sqrt(11) + 899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = 5*t - 11*o - 141969, o + 141963 = 5*t. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 505333190?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 12. Suppose -4*q = -w - 11. Let k = -1.9778 + -0.0222. Which is the smallest value? (a) 0 (b) q (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/o**(1\/4)))\/(o**(-3\/2)\/o)*(((o\/(o**(3\/2)*o*o))\/o)\/o)\/(o\/(o**(-1)*o)) assuming o is positive.\nAnswer: o**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -621 (base 9) to base 10.\nAnswer: -505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171547.95ns to minutes.\nAnswer: 0.0000028591325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 12 = 5*r. Which is the second smallest value? (a) r (b) -6\/11 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3287 divided by 350.\nAnswer: 3287\/350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 2*r - 16, 144 - 181 = -5*w - 4*r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -9*z - 18. Let y be m(-5). Solve t = y - 28 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 627 - 627. Suppose 3*f - 807 - 1782 = m. List the prime factors of f.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4 = -8, 0 = 3*v + 5*r - 232820. Suppose v = -8*f + 4*f. What is f rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5120 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-746)\/(-10)*(67 - -22) - (-3)\/5. What is the greatest common factor of 80 and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xii when three letters picked without replacement from {i: 2, s: 1, x: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -130 - 47. Let n = 166 + u. Which is smaller: -4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 2:37 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 1 = 4*h, 0*h - h + 2*l = -4. Let s(t) = -6*t**3 - t**2 + t - 2. What is the units digit of s(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -186112?\nAnswer: -186112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 13133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -6 - (-545)\/109. Solve -3*d - 10 + 7 = n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.91, 11\/5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -19*a**2 - 2. Let k(z) = 190*z**2 - 7*z - 5. Let f(v) = -95*v**2 + 4*v + 3. Let t(b) = -5*f(b) - 3*k(b). Calculate t(q(x)).\nAnswer: -34295*x**4 - 7239*x**2 - 382","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*d + 41*d - 4*d.\nAnswer: 87*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from {w: 2, f: 4, t: 6, j: 1}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21.8 or -2?\nAnswer: -21.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.31950795*0.01.\nAnswer: -0.0031950795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 3*y - y**4)*(103*y - 115 + 115).\nAnswer: -103*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 8*c**3 + 37*c**4 + c - 18*c**4 - 18*c**4 as f*c**2 + z*c + x + q*c**3 + o*c**4 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2701*t + 2 - 6 + 4 - 996*t. Let j(f) = 3*f**2. Determine j(a(v)).\nAnswer: 8721075*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84322, -87712, -93354, -101242, -111370, -123732, -138322, -155134?\nAnswer: -174162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y. Let x(i) = -1049*i + 8. Let z(n) = -2098*n + 18. Let o(p) = 9*x(p) - 4*z(p). Calculate o(f(l)).\nAnswer: 1049*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 8 = 3. Suppose 0 = -5*g + 5*l - 40, -t*g + 3*g - 22 = -4*l. Let m = -152 - -1062\/7. Which is the smallest value? (a) -1\/7 (b) g (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1)\/z*z)**(-31) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 4)*(3*z - 4*z - z) - 3*z + 3*z - z + (-2*z + 5*z - z)*(0 - 3 + 4) + 2*z + 2*z - 2*z + 2*z + 13*z - z in the form a*z + f and give a.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.504 + 15243.504. Let y = v - 15159.158. Let c = y + -83. Round c to 2 decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0*w. Let p(u) be the first derivative of 0*u + 1 - 2\/5*u**5 + 1\/3*u**3 + w*u**2 + 0*u**4. Find the third derivative of p(d) wrt d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4\/13*j**2 + 18\/13*j**3 + 14\/13*j**4 + 0*j.\nAnswer: 2*j**2*(j + 1)*(7*j + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 199.005 and -0.19.\nAnswer: -37.81095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234166, -936669, -2107514, -3746707, -5854254, -8430161, -11474434?\nAnswer: -14987079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -152 (base 6) to base 12\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -5, 8621, 6\/49?\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**6\/60 + a**4\/8 - a**2\/2 + a. Let r(t) be the first derivative of h(t). Find the second derivative of r(n) wrt n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/(-22) + (-75548)\/(-242)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*sqrt(171)*-2*5)\/(-4*sqrt(441)*-4 - sqrt(441)).\nAnswer: -8*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 11:11 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -25*q. Let h(p) = -11*p + 84. Determine h(z(b)).\nAnswer: 275*b + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/4, -360\/23, -3, 111, 0.3, 0.5?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7743*s**3 + 1 + 5118*s**3 + 4031*s**3 + s + s - 2*s.\nAnswer: 1406*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 349 divide 10637869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 - 9*x - 14. Give g(13).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 406 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 80 = 21*v. Factor -30*h**3 - 7*h**2 - 28 + 24*h**2 + 9*h**2 - 592*h**v + 594*h**4 + 30*h.\nAnswer: 2*(h - 14)*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 126?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2976\/(-320))\/((-6)\/4).\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104524129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -145 + 1012\/7. Let g = h + 1\/35. Sort 2\/25, g, -0.5.\nAnswer: -0.5, g, 2\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 + 8*c. Let n(l) = -l**3 + 5*l**2 - 4*l + 3. Let o be n(4). Let u = 11 - 11. Let f(h) = 0*h + 0*h - h**2 + u*h + o*h. Give -8*f(k) + 3*w(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 42\/5 of a hour?\nAnswer: 30240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 18 + 3. Let m(u) = u - 5. Let w be m(p). Suppose -5*i + 83 - 13 = w. Calculate the remainder when i is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137842651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -167+485389\nAnswer: 485222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -61431 (base 7) in base 13?\nAnswer: -6a74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1100111 (base 2) to base 11\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10630.24733 rounded to the nearest 100?\nAnswer: -10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.63*3.\nAnswer: 16.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1071 and -17\/7350?\nAnswer: 374850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 42*f**3 + 23*f**2 - 91*f + 92. Calculate c(2).\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**8\/1680 + w**7\/120 + w**3\/2 + 28*w. Let j(p) be the second derivative of m(p). Solve j(i) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (18 + (-5 - -8) - -17).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 362748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -13092803?\nAnswer: 1309280.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -111822 divided by 3\nAnswer: -37274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**4\/12 - 104*k**2. Let c(r) = 32*r**2. What is o(c(x))?\nAnswer: 64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 310035 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 12*s**3 + 9*s**2 - 15*s + 4. Suppose -3*t - 16*a + 14*a - 29 = 0, 5*t + 2*a + 55 = 0. Let g(d) = -6*d**3 - 4*d**2 + 7*d - 2. Give t*g(k) - 6*i(k).\nAnswer: 6*k**3 - 2*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojj when three letters picked without replacement from ojzjco?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205562 is divided by 12830.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-6))\/((-36)\/54).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63085\/6 - 10538. What is the common denominator of j and 97\/156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 4, 163151 in increasing order.\nAnswer: -5, -4, 4, 163151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t + 2*t**2 + 26 - 52 + t**3 + 25 in the form w + z*t**3 + v*t**2 + x*t and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -164277499 * -3\nAnswer: 492832497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5\/9 - 35674*i**4\/9 + 158847220*i**3\/9 + 2069796652*i**2\/9 + 1859214350*i\/3 - 867361250 = 0.\nAnswer: -7, 1, 8925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 23*p**2 - 42*p + 5. Let u be w(-21). Suppose 0*s = 3*g - s - 3, 3*s + 9 = u*g. Solve 4*q + q - 5 = g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkllllclclkl. Give prob of picking 1 l and 2 k.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - y**2 - 2. Let u be d(-2). Let l = 12 + u. Let p(c) = 41*c**2 + c - 1. What is the remainder when p(1) is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -478 less than 2\/431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -140*j**3 - 3*j**2 - 15*j - 13. What is the remainder when 717 is divided by s(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, o: 2, b: 1, a: 4, f: 1}. Give prob of sequence fal.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxhcchhxxxhhxhh. Give prob of picking 2 x and 1 c.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 117*s**2 - 4013*s + 19858. Determine k(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**4\/13 + 45588*i**3\/13 - 592402*i**2\/13 + 2187048*i\/13 - 1640232\/13 = 0.\nAnswer: 1, 6, 22781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-4 - 4) + 3 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -1021*z**2 + 18*z + 94. Let g be q(-8). Is 8\/10 - g\/70 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/1 + (-2)\/(-6). Let h be -4*29\/232*(-18)\/24. Put m, 0.4, h, 1 in decreasing order.\nAnswer: 1, 0.4, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**5\/5 + 116*n**4\/5 + 114*n**3\/5.\nAnswer: 2*n**3*(n + 1)*(n + 57)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/8 - (847 - 845).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4305340.\nAnswer: 2, 5, 13, 29, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 0.3, 44, -3\/7, 0.5, -0.71?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d*d**(-9\/8))\/d**(7\/4))**(-1\/2))**(-7\/5))**(-13) assuming d is positive.\nAnswer: d**(637\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6, 8, 0, -18, -46, -84, -132?\n\"Answer: -5*a**2 + 17*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -6*n + 3*n - 9, -4*n = -3*l - 17. Suppose -6*g + n*g = -8. Sort 3, -5, g in descending order.\nAnswer: 3, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1931 + 0.0931. What is the nearest to v in 0, -2\/9, -62?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*q - 11817 = 7030 - 1993 for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3337785 by -613.\nAnswer: -5445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -994882862 divided by -37?\nAnswer: 26888726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 35*w**3 - 24*w**2 + 31*w - 6. Determine p(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -16*b**2 - 7*b + 7. Let s(z) = 5*z**2 + 2*z - 2. Suppose -46 - 8 = -9*t. Give t*g(d) + 21*s(d).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - -12. Let a(x) = 21*x - 61. What is the remainder when a(8) is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -236*f**2 + 4*f. Suppose 4*y + 98 = 82. Let s(o) = -707*o**2 + 11*o. Let c(w) = y*s(w) + 11*d(w). Let j(n) = n**2. What is j(c(p))?\nAnswer: 53824*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 14*f = 11*f - 95622, -3*x + 4*f = 95594. Round x to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*c + 6 = 0. Let x be 2\/c + (-906)\/9. Round x to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 854743880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 16, -70, -4, 0 in increasing order.\nAnswer: -70, -4, 0, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from xmsejsew?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79370 (base 12) to base 15.\nAnswer: 32b80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2513*v + 264*v - 4592*v.\nAnswer: -6841*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 792.9325 millennia in years?\nAnswer: 792932.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 7*g**6\/120 + g**5\/20 + 25*g**4\/8 + g**3\/3 - 2*g**2 + 30. What is the second derivative of v(i) wrt i?\nAnswer: 42*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -5 (b) 1.21 (c) -0.1 (d) 38 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/7))**(-39))**(4\/37) assuming z is positive.\nAnswer: z**(468\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -46*p - 2. What is x(-1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 3*r - 20. Suppose 0 = 5*p - r*j - 501, -2 = 3*p - 5*j - 313. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.1 - -4.1. Let z be 48\/(-21) - -2 - 48\/(-21). Suppose -p + z = 0, 11 = -4*y + p - 7. Which is the fourth smallest value? (a) 5 (b) y (c) -10 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (d**2 - d**2 + 2*d**3)*(773*d + 29*d + 385*d + 185*d) as p + r*d**3 + y*d**2 + u*d**4 + w*d and give u.\nAnswer: 2744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30124106.\nAnswer: 2, 15062053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17912 divided by -5628?\nAnswer: -4478\/1407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54569\/8 + 6816. What is the common denominator of 69\/2192 and y?\nAnswer: 2192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i*i*i**30)*i*i**14\/i*i**(10\/13)*i**(-33))**24 assuming i is positive.\nAnswer: i**(-15048\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (10 + -4 + -13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3124 is divided by 769.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 2 - 3 - (22 + -29)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**6\/120 + i**5\/12 - i**4\/3 - 2*i**3\/3 + i**2. What are the prime factors of h(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-40)\/18 - (1 - 3). Let m be 1\/5*-2 - 0. Is l greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 5. Let a = 22 + s. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677444.\nAnswer: 2, 169361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1)\/((6\/(-3))\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - r + 8, 5*x - 10 = -r - 2*r. Suppose -2 = -x*l - 0*l. Solve 4*a + l - 21 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 0*u + 4*u)*(-158 + 158 + 9*u**2)*(-3*u + 3*u - 2*u).\nAnswer: -18*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.9 - -3.8. Let i = -2 + p. Let n = i + -0.3. What is the smallest value in -2, -1\/6, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3\/8 + 137*p**2\/4 + 6023*p\/8 + 2875\/4 = 0. Calculate p.\nAnswer: -250, -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2*l + 3*i - 51, 3*i = -4*l - 129. Let w be (-96)\/l*(-2 - -5). Suppose -w*p + 6*p = 2*p. Solve -4*b - 5 = -x, 0 = b - 2*x - p*x + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 8.2. Let i = f + 8.2. Let y = -7 + i. What is the nearest to -2 in 0, -3\/4, y?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17774 (base 14) to base 12\nAnswer: -2a24a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(612) - (sqrt(612) - (0 + sqrt(612)))*6)*-2)**2*6*3.\nAnswer: 705024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 371 or 373?\nAnswer: 373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -10439*n**2. Let w(b) = -44*b**2. Determine q(w(l)).\nAnswer: -20209904*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -z + 5*d, 2*d = 6*z - 2*z - 44. What is the remainder when ((-78)\/5)\/((-8)\/20) is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2*1)\/((-6)\/(-15)). Let r = -1 + b. Suppose -l - 212 = -g, 3*l + 846 = r*g - 0*g. Round g to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - q - 5*a - 22, 0 = -q - 3*a - 10. Let z(p) = 2*p**2 - 2*p + 1. Let f(x) = -4*x**2 + 5*x - 2. Give q*f(c) + 5*z(c).\nAnswer: 2*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 30\/(-50) + 13\/5. Let d(j) = -j**2 + 5*j - 2. Determine d(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1584) + -3 - (sqrt(1584) + 0)*4)**2*4.\nAnswer: 288*sqrt(11) + 57028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + 5 + 0 + -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.3 (b) -5\/4 (c) 0.1 (d) 110\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4 = -4*y, 24*y = 4*h + 29*y - 26. Calculate the remainder when 1009 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 2*x + 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)*1*-2)\/(-3*sqrt(484)))\/((1*sqrt(2880))\/(sqrt(810)*1)).\nAnswer: sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/148 and -51\/407.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -278 - 2*l**2 - 514 + 152 - 13 in the form u*l + b*l**2 + w and give w.\nAnswer: -653","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 40. Let a(k) = 2*k. Let v be a(j). Suppose v*m - 68 = 12*m. What are the prime factors of m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 160963865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -466 = -5*c + 39. What is the third derivative of 87*j**2 - 16*j**3 - 206*j**2 + c*j**2 wrt j?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72534\/(-15386) - (-436)\/42)\/(2\/(-24))\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -3*r**4 - 35*r + 32. Differentiate b(v) wrt v.\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 12458 - 3619. Let g = 2339 - c. What is g rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-4)*(-844)\/633.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 9*p - 5. Let m be g(-5). Suppose -5*i + m = -2*q, -4*i - 6 = 2*q - 0*i. Let c = 9 + q. What is the remainder when c is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3090623 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + (-582)\/54 + 5. Let l(i) be the second derivative of 5\/27*i**3 + 0 + 1\/18*i**4 - 5*i + m*i**2. Factor l(p).\nAnswer: 2*(p + 1)*(3*p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 430294.4 grams?\nAnswer: 430294400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 104127.9g in kilograms?\nAnswer: 104.1279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 112 = -0*p. Let u be ((-27)\/(-4))\/((-21)\/p). Suppose -4*h + 18 = -u. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1355 and 0.06?\nAnswer: 1355.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7213888*z - 14662844 wrt z?\nAnswer: -7213888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1128 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 19007 divided by 83\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25661468, -25661465, -25661460, -25661453?\nAnswer: -25661444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 510881 and 236?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-568)\/(-426)*(-108)\/32?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(-24) - 4\/24. Which is the smallest value? (a) p (b) 3 (c) -0.3 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83547 and 2826.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314 = -10*g + 2124. List the prime factors of g.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2220133 (base 4) in base 8?\nAnswer: 25037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 128, 118, 110?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 747\/(-378) + 9 + -8 and 37\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20294, 20285, 20276, 20267, 20258, 20249?\n\"Answer: -9*g + 20303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - -1.8. Let q = -5.1 - -5. What is the nearest to q in -1, 4, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -10 (b) -1.4 (c) -2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 3790 + 4 + 5\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + -4 + 1 + -1. Suppose 7*b - 2*b + 26 = 2*v, c = 2*v + b - 50. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {f: 3, v: 5, s: 2, j: 1, t: 3, n: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8189\/247 - 2\/13. Let v = -12 + f. What is the greatest common divisor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + -2 + -2 + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6.4 and -9564384684.\nAnswer: -9564384690.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -65*w**2 + 2*w - 14. Let j(r) = 162*r**2 - 5*r + 35. Let i(x) = -2*j(x) - 5*z(x). Let q(g) = 5*g - 5*g + 26*g**2. Give q(i(p)).\nAnswer: 26*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51260 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 29*a. Let q(n) = 56*n + 2027. Calculate -2*o(h) + q(h).\nAnswer: -2*h + 2027","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 35*u + 4 = 36*u, 0 = -s + 3*u + 8. Let n(y) = -y**3 - 2*y**2 + 12*y + 9. Calculate n(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 78125*o**3 + 70625*o**2 - 7320*o + 180 = 0.\nAnswer: -1, 6\/125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 1\/6*a**3 + 0*a**6 + 0*a**4 + 0 - 4*a + 0*a**2 - 1\/10*a**5 + 1\/42*a**7. What is u in t(u) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -108105414031415.\nAnswer: -108105414031411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -46*i**3\/7 + 1096*i**2\/7 + 192*i\/7 = 0.\nAnswer: -4\/23, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 376152403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from {n: 2, o: 9, u: 7}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 477 + -8909\/19. Suppose 14 = a - 2*t, t = -a - 3 + 8. Which is smaller: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -36. Let v(r) = -24*r - 45. Let a(w) = -s(w) + v(w). Let j(g) = 16*g + 6. What is 5*a(p) + 7*j(p)?\nAnswer: -8*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/5, 1\/3, -4, 0, -16, -4939, 3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -12.992. Round d to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, c: 5, u: 2}. Give prob of sequence uxxc.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 37. Put 1\/5, 2, n in increasing order.\nAnswer: 1\/5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -385632*r**3*z + r**3 - r**2 + 2*r + 17888 with respect to z.\nAnswer: -385632*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(2000)*2 + sqrt(2000) - sqrt(2000)) + sqrt(2000))\/sqrt(4).\nAnswer: -150*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**3\/7 + 486009*l**2\/7 + 19683972009*l\/7 + 19683486003\/7 = 0. What is l?\nAnswer: -81001, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 416968819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*s + 28*s + 23*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2197478, -4394953, -6592428, -8789903, -10987378, -13184853?\nAnswer: -15382328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffsfffffsff. Give prob of picking 2 s and 2 f.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -212*x**3 + 264*x**2 + 592*x + 384. Let p(d) = -20*d**3 + 24*d**2 + 54*d + 35. Let q(k) = -3*n(k) + 32*p(k). Factor q(s).\nAnswer: -4*(s + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1326\/11, 3, -5, 1\/10 in ascending order.\nAnswer: -5, 1\/10, 3, 1326\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 13*f**2 + 90*f + 63. Let c be v(18). What is the greatest common divisor of 9891 and c?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2*j + 4*m, -4*m - 2 + 16 = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-8 - 0) - (-14 - -10) - -9) + 21.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 10:46 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*w - 3*w + 182, -2*z + 4*w = -106. Let x = z - 43. Solve x*a - 2 = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence is when two letters picked without replacement from klsisvk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.029*-5.\nAnswer: 0.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -132? (a) 4 (b) -0.053 (c) 5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 3 = -515*j + 517*j, 0 = -r - 4*j - 39 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1368*s - 2*l = -1365*s + 31, 0 = 4*s + 3*l + 42 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.6 (b) -5 (c) 1\/2 (d) 3\/107 (e) -6\/299 (f) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 7*q = 273. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 347357 or 2778855\/8?\nAnswer: 347357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*d = 10, 0*f = 3*f + d - 22. Let q be 12\/f + 12\/2. Let u = q + -10. Let v(j) = -3*j - 2. What is v(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99053161 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-150)*(-30)\/48*4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6018*g**2*j**3*o**2 + 3*g**2*j**3 - 4*g**2*j*o - 2*g*j**2*o + g*j*o**2 + 640*g*o**2 wrt j.\nAnswer: 36108*g**2*o**2 + 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -197262.75 to the nearest 10.\nAnswer: -197260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s**4 - 2*s**4 - 50*s**2 + 60*s**3 - 19*s**4 + 5*s**4 + 15*s + 5*s**5 = 0. What is s?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*t + 15. Let n be (11\/t)\/((-1)\/9). Let f = n - 137\/20. Which is the nearest to f? (a) 12 (b) -4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 3*l - 432 = 0. Let x = -13523\/5 - -2696. Find the common denominator of x and (6\/l)\/((-2)\/(-147)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-3*-1*sqrt(68) - -6*(sqrt(68) + 4*sqrt(68))))**2 + 4)*1*-6.\nAnswer: -3998832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1452 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1051611 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, -0.06, 1\/125, 0.028, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 960 (base 15) in base 11?\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-291)\/(-12) + (-3)\/12. What is the highest common factor of x and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8284 and 44?\nAnswer: 91124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 1 + 29 = 0, a + 26 = 3*c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2370877254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1300 and 650?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1407 + -0.137238. What is s rounded to 4 dps?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3430 + 1721 - 6158*q + 1709)*(q - 4*q + q).\nAnswer: 12316*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(1\/9)*(w\/((w\/(w*w**31*w)*w)\/w))\/w*w**(-4)*w\/w**18 assuming w is positive.\nAnswer: w**(107\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -23076.86 rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**2 + 5*b - 5. Let y be q(7). Let i be ((-2)\/(-6))\/((-1)\/y). Solve -3*g + i = 18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -2 (c) 2\/11 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 2\/79 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10*g**3 - 4*g - 5. Let v(n) be the first derivative of -11*n**4\/4 + 5*n**2\/2 + 6*n + 663. Determine 6*q(d) + 5*v(d).\nAnswer: 5*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64777 and 976567.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (4 - 1) - 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-776)\/10)\/((-6)\/30). Suppose -9*x = -5*x + 956. Let t = n + x. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -154, 0.1, -3, 12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 4:07 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 10:49 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*j + 25, -3*j + 2*r - r = -4. Let f be (13 - j)*(-1)\/(-2). Solve -4*g + 3*g = f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-147)\/(-63))\/((-2)\/(-3))*2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 7*t + 4 = 0. Let c be (-3)\/9 - t*(-24)\/9. Let v(r) = -4714 + 4714 + c*r. Let i(h) = -6*h. What is i(v(z))?\nAnswer: -30*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p. What is the remainder when 62 is divided by s(-13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, b: 4, d: 4, k: 1}. What is prob of picking 3 d?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -7190717 at most as big as -7190721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8690, 8672, 8654?\nAnswer: 8636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -593, -591, -589, -587?\nAnswer: -585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 1401*q**2. Let c(s) be the second derivative of s**3\/3 - 85*s - 11. Calculate c(m(p)).\nAnswer: 2802*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kw when two letters picked without replacement from bbbwkbkbkbwbbwbbkb?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14280 and 130830.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 8*a**2 - 8*a - 3. Let x be y(8). What is x rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 + 1 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/13)\/2 - 24\/182.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104935 divided by -2.\nAnswer: 104935\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -2*u**6\/15 - u**5\/12 - 9*u**2\/2 + 6. Let l(t) be the second derivative of n(t). What is the third derivative of l(h) wrt h?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**4 + 8*m**4 - 5*m**4 + (m - m + 2*m)*(3*m**3 + m**3 - 6*m**3) + (9*m + 21*m + 0*m)*(0 - 4*m**3 + 0).\nAnswer: -116*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -364, 5, -33, -3 in ascending order.\nAnswer: -364, -33, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 876.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1119364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2561*q. Let c(u) = -71*u**2. What is l(c(k))?\nAnswer: 181831*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*j**2 + 54*j**2 - 6 - 11 - 26*j**2.\nAnswer: 5*j**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*(11\/(-6))\/11.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13571 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0648ml?\nAnswer: 0.0000648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -179725 by -13.\nAnswer: 13825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -4. Let r be (4\/(-8))\/(y\/16). Let j = r + 17. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -513525 - -34340?\nAnswer: -435145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = n + 2*n - 4*g, -2*n - g = -6. Let t = -164 - -198. Let v be t\/6 + -7*(-2)\/(-21). Solve d - 6*d = 4*f + 2, 5*f + n*d + v = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - f + f)*(5 + 4 + 9).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 18 = 3*b. Let a(k) = 3*k**2. Let f be a(1). Suppose 0 = -2*x + 3 + f. Calculate the highest common divisor of x and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19636192307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 - 1. Let k = 357 + -352. What is the nearest to 2\/19 in -0.3, l, -2, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 2\/7 (c) 11 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 234, 239, 266, 321, 410, 539, 714, 941?\n\"Answer: f**3 + 5*f**2 - 17*f + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (-2 - -8) - 66\/(-3). Let b be 6 - 0 - -2*1. Calculate the highest common divisor of b and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28741076 divided by 23\nAnswer: 1249612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2021?\nAnswer: 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 74353 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 + -89. Differentiate -j + 33*b**3 - 39*b**4 + 37*b**3 - 100*b**3 + 29*b**3 wrt b.\nAnswer: -156*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 5:32 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i*t**3*w - 390916*i*t**3 - 2*i*t**2 + 397*i*w + 3*t**2*w - 28*t**2 wrt t?\nAnswer: -6*i*w - 2345496*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1235 is divided by 156.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*d, -40*h = -41*h + 5*d + 53. Does 48 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9677889?\nAnswer: 3, 13, 181, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 480b8 (base 15) to base 6\nAnswer: 4531145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {f: 5, g: 1, b: 1, i: 3, w: 2, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j**3 - 114*j**2 + 17*j - 285. Let n be k(19). Solve 0 = -124*u + 86*u - n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10333 + -10287. Let z = 7 + 3. What is the lowest common multiple of m and z?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*v + 3*m + 138 = -0*m, -v - 15 = -13*m + 8*m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68\/6*(-95)\/(-3230)*6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 + 534. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/7 - 119340*k**3\/7 + 1780373786*k**2\/7 - 508627080*k + 254305016 = 0. What is k?\nAnswer: 1, 29834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 24 = 4*i, 6*i - 2*i = 2*j + 12. Suppose j*s + 38 = 6. Let p(c) = -c**2 - 7*c + 7. Calculate p(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20564 + -11708. Is 82 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2473 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2555319 divided by 3?\nAnswer: 851773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.14 - 1.74. Let w = 1.5 + j. Let n = w - -2.1. What is the third biggest value in n, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 183\/2 - 91. Factor 0*v**2 + 1\/4 - 1\/4*v**4 - 1\/2*v**3 + l*v.\nAnswer: -(v - 1)*(v + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/5*((-29)\/(-15) - 2)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = h - 3. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*sqrt(1900)*-1 + -2 + sqrt(1900) + -2 - (2 + -3 + sqrt(1900))*-5))**2 + -5.\nAnswer: -2160*sqrt(19) + 68719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**3 + 45*y**2 - 11*y = 0.\nAnswer: 0, 1\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-522)\/(-15)*70\/(-21). Let k = -63 - y. What is the remainder when k is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182793 is divided by 311?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69822934?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2 + 9 + 1 + 8 - 24*l**3 wrt l?\nAnswer: -72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 590*f - 12501. Determine b(22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s. Let z(o) = o + 1. Suppose 4*p = 2*d - 8, -p + 2*d + d - 7 = 0. Let u(j) = -9*j - 3. Let t(r) = p*u(r) - 3*z(r). Give c(t(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 41675563.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85892 - 56768. What are the prime factors of d?\nAnswer: 2, 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133941333?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 11*i**2 + 2*i. Calculate the remainder when p(9) is divided by 29.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 73, 127, 213, 337, 505, 723, 997?\nAnswer: 1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1369 = -1385*t + 1384*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*v + 27 = 0, -t + 4*v + 3 + 16 = 0. Put -2, t, -3 in decreasing order.\nAnswer: t, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/2*((-748)\/231)\/17.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 13*x - 15 = 0. Which is the second biggest value? (a) -0.5 (b) x (c) 0.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 90*s - 4 = 89*s, 4*l + 2*s = -24. Let v = 6566 + -52461\/8. What is the common denominator of v and 3\/l*(2176\/264 + -10)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 23 + 23 - 24*a - 39 + 18. Let g be q(7). Let j = g + 213. List the prime factors of j.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/(t\/(t**19\/t)*t)*t)*t**(19\/5)\/t assuming t is positive.\nAnswer: t**(-71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -168, -258, -530, -1074, -1980, -3338, -5238?\n\"Answer: -15*f**3 - f**2 + 18*f - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide ((-18)\/((-1080)\/105))\/(-2 + 149085\/74540)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 h, and 1 d when three letters picked without replacement from {w: 1, u: 2, l: 2, h: 6, d: 4}.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 3*m**4\/2 + 95*m**3 + m**2 - 1370*m + 3845. Find the second derivative of n(g) wrt g.\nAnswer: 36*g + 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, -6, -2\/15, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 13. Let x = s + 2. Solve 2*p - 20 = -f - 3*p, 0 = -3*f - 2*p - x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - g = 15 - 42, 4*g = 2*w. Suppose 4*h - 3 = n, 2*h + 4*n - w = -0*h. Which is bigger: 0.97 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + (3 + -2*sqrt(76) - sqrt(76) - sqrt(76)) + sqrt(76))**2*-3.\nAnswer: -864*sqrt(19) + 8640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21150.555 months?\nAnswer: 1762.54625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1836 from 16.\nAnswer: 1852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -107*i**2 + 1606*i - 13. Let u be a(15). Let z(f) = -1. Let h(l) = -5*l + 1. Let b(s) = -h(s) - 3*z(s). What is b(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Let t(r) = 3 + 7*r - 13*r + 5*r - 4. Let a be t(-7). Calculate the highest common factor of a and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5\/7 + 22*g**4\/7 + 48*g**3\/7 - 72*g**2\/7 = 0. What is g?\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 951, -4, -9\/4, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 44 + -1 + (-2)\/2. What is the common denominator of 11 and -1 + a\/(-16) + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1053))*-3.\nAnswer: -27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**3 + 83*l**2 + 173*l + 9041. Give s(-41).\nAnswer: 3629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40328036064\/43 - -30196628691653\/32207. Let p = 281626 + r. Let a = -3\/107 - p. Which is bigger: -0.048 or a?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -230*f - 4. Let v(a) = 8*a + 1. Let b(y) = -u(y) - 6*v(y). Let x(l) = -3*l. What is b(x(z))?\nAnswer: -546*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*j = 1516, -4*d - 3*j = 401 - 1927. Suppose 2*n = d + 796. Does 49 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 73*h**3 - 2*h**2*t + t - 47 wrt h.\nAnswer: 219*h**2 - 4*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsrdrrs. What is prob of sequence rrd?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 1 + 13 = 0. Suppose -3*g + g = -y*w + 22, -g + 15 = 5*w. Factor 0*h**3 + w*h**3 - h**3 - 6*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 104 - 107. Let u = -4 + -1. Which is the third smallest value? (a) -3\/5 (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/20*(-6012)\/501)\/(21\/350)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 10*n**2. Let x(o) = 15*o + 3678. Let j(i) = -8*i - 1906. Let c(z) = -11*j(z) - 6*x(z). Calculate c(y(u)).\nAnswer: -20*u**2 - 1102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 >= -9\/13985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 45*m + 473. Let r be w(28). Which is the nearest to 1.74? (a) 3 (b) r (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**6 + 9*b**5 - 20*b**4 - 59313*b**2.\nAnswer: -240*b**3 + 540*b**2 - 480*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 12*n**2 + 11*n + 2. Let l be w(-11). Suppose 0 = u - l*a - 12, -a = u + 4*a + 23. Does 18 divide 2\/((-5)\/(-600)*u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**5\/2 + 484587*y**4\/2 - 242292*y**3 = 0 for y.\nAnswer: 0, 1, 161528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43895 and 2?\nAnswer: 87790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (57 + 0)*40\/(-30). Let l = -65 - x. Let n = 27 + -24. Calculate the least common multiple of l and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 2*z - 1. Let c be r(-1). Suppose -2*d = 3*d - 5, c*j = 5*d - 2. Suppose 7*u - 2*u - 10 = 0. Put -5, u, j in descending order.\nAnswer: u, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1100 + 1088. Let d = 0.03 + -0.33. Let r = 0.3 + d. Which is the third smallest value? (a) s (b) -2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, q: 5, b: 6, n: 1}. What is prob of picking 1 b and 1 q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d**3 - 28*d**3 + 2*d**2 - 2*d**2.\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.3267 and -8.48.\nAnswer: -28.210416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -13\/12*v**4 + 0*v**3 + 4*v + 0 + 9\/20*v**5 + 0*v**2. What is the third derivative of t(p) wrt p?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -223 - -2005\/9. Let r = -8 - -11. Let j = 23.86 + -23.9. Which is the nearest to 0? (a) q (b) j (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -2\/7*l**3 + 0*l - 2 + 2\/7*l**2. Factor y(n).\nAnswer: -2*n*(3*n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a millennium?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 81\/(-3)*-1. Suppose 0 = -l - 3*i + 32, -2*l + 5*i + d = l. Suppose 4*p - 93 = -5*f, -l + 119 = 5*f + p. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**4\/4 + 4*n**3\/3 - 11*n**2 + n - 326. Give v(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2 + 30*q - 1 - 1 + 5. Let k(t) = -2*t**2. Calculate u(k(g)).\nAnswer: -60*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + s)*(-2*s**2 + s**2 - 2*s**2) + s**3 - 4*s - 2 + 4*s.\nAnswer: -2*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*p + 2 + 9, -5*f = 4*p - 150. Let j be (-2 - -1)\/1 - 1. Let v(a) = a**2 - a + 1. Calculate the remainder when f is divided by v(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019755168 rounded to 5 decimal places?\nAnswer: 0.00198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 56354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1*(5 + (sqrt(13) - (sqrt(13) + -2)) + -3))*-3)**2.\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10849421 > 10849422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5*y - 6*w + 6843, w = -5*y - 6833. Let j = 10913\/8 + y. Find the common denominator of 127\/48 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -264294, -264295, -264296, -264297?\n\"Answer: -l - 264293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.38 - 0.61. Let m = f + -0.77. What is the nearest to m in 0.9, 0, 1\/4?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.04 (b) 2 (c) -0.3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**2 + 2*q - 2*q**3 + 7*q**2 + 0*q in the form d*q + l*q**2 + g*q**3 + b and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-28)\/40*-5)\/(1\/2). Let v be t\/(24\/6 + -5). Let l(o) = -o**3 - 7*o**2 + o + 9. What is l(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvpv when four letters picked without replacement from {v: 12, p: 3}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 912420401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 88593*d + 354360. Determine m(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -37*j**3 - 2*j**2 - 2*j - 1. Let g be z(-1). Suppose 6*h - 3*h = g. Calculate the remainder when h is divided by ((-42)\/(-9))\/(2\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5815 + -0.2815. Which is the nearest to o? (a) 4 (b) -10 (c) 3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -155*x**3*y - 2*x**3 + 150*x**2*y wrt x?\nAnswer: -930*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -2498, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13160 + 52069\/4. Let x = m - -144. Find the common denominator of x and -32\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/16035 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -4. Let y be ((1 - 0) + 2)\/(-1). Let j be (0 + (y - -2))*-5. Solve -j*c = -10, -c = -w*x - 3*c + 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 259*c**4\/2 - 790*c + 403. Differentiate s(t) wrt t.\nAnswer: 1554*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3da87a + -3?\nAnswer: 3da877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(128) - sqrt(128) - 4*2*sqrt(2))**2 - sqrt(12)\/(-3*sqrt(18)\/sqrt(3)).\nAnswer: -47*sqrt(2)\/3 + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 3*f + 6. Let i(n) = n**3 - 23*n**2 + 101*n + 17. Let j be i(17). Solve -f*s = -j - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 17*k**2 - 30*k - 8. Let q be c(15). Let t(w) = -1 - 5*w + 1. Let i be t(q). What is i rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-6 - -15 - -3 - 30) - 7.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5*sqrt(35)\/sqrt(5) - (-4 + sqrt(63))))**2.\nAnswer: -576*sqrt(7) + 4176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 8. Suppose 0*m + 2*m + 21 = 5*c, 0 = m - q*c + 8. Suppose 0*u = 2*u - 8. Solve -3*z = 5*f - 28, -m*z = u*f - 3*z - 19 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -52\/9, -5, 43478?\nAnswer: -52\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3496?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*b**3 + 13950*b - 13950*b + 8*b**3 + 36*b**3.\nAnswer: 97*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 - 3047*h**2 + 3043*h**2 + 2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m. Let r(w) = 31*w**2 - 5*w - 2. Let l be -2*(-10)\/(-2) + 4. Let n(q) = l*f(q) + r(q). What is the units digit of n(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47185 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4659156 is divided by 1701.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11963865.09 rounded to the nearest 10000?\nAnswer: 11960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*d = 0, 0 = p - d + 4*d - 1. Suppose -3*r = 3 + 12. Let g be r\/3*(1 + -4). Which is the closest to 1\/3? (a) p (b) g (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 22036?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3333143 to the power of 1\/2, to the nearest integer?\nAnswer: 1826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -909 or -897?\nAnswer: -897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - 2*w + 4*w)*(-4 + 6 + 10).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1557460 to the power of 1\/2, to the nearest integer?\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 3*r - 10. Let f be c(-7). Suppose -f = -s - 8*s. Let q be 117\/9 + 1 + -2. Solve 0 = 2*o + 5*a - 16, -3*o + s + q = 5*a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4)*x**(-3\/10)*x)**35 assuming x is positive.\nAnswer: x**(-231\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*w - 1914, 4*w = 5*f - 134 - 2248. Calculate the remainder when f is divided by 124.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.772 and 4739896966.\nAnswer: 4739896968.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -7*g**2 + 3*g - 3. Let a(y) = y**2 + 1. Let t(f) = 6*a(f) + x(f). Let b be t(5). Let j = 9 + b. Solve -j*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/158616 and -73\/192.\nAnswer: 1268928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 38*c**3 + 1. Determine z(-1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 10:54 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3270795 divided by -25355\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*b = -55*b + 6. Let h = -2 + 4. Sort h, b, 0 in increasing order.\nAnswer: 0, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4706356*s**3 + 5215661*s?\nAnswer: -28238136*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3303 (base 4) in base 2?\nAnswer: -11110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 45a2 (base 11) to base 16\nAnswer: 1799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24349741 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**9\/n))\/n)\/((n*n**(6\/11)*n)\/n)*n\/(n*(n\/((n\/n**(-1\/5))\/n))\/n*n*n)*n**(-6) assuming n is positive.\nAnswer: n**(-954\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-15) - -3)*(26630\/280 - 96)?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3017 divided by -3017?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fkff when four letters picked without replacement from {k: 1, f: 18}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + 1)*(-10)\/15. Differentiate -2*w + d*w + 4 - 2*w**2 wrt w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -f975 (base 16) in base 10?\nAnswer: -63861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3496*z - 3180*z = -1896 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sak when three letters picked without replacement from wasxxlk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -617.\nAnswer: 4\/617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2718555 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y + 4. Let p be d(7). Calculate the highest common factor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + j - 5*d - 28, -2*j + 20 = -4*d. Suppose -j*a - a = -12. Let f(x) = 3*x - 3. Calculate the remainder when 35 is divided by f(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148368.4cm to meters.\nAnswer: 1483.684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17647058 rounded to two decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 6:52 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -24. Let p = 74 - a. Let n = -27 + p. What is the lowest common multiple of n and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*v + 381 = 15*v + 3101. Solve 9*p - v = 20 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12650 = 39*o - 8023 + 1914. Calculate the highest common divisor of o and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a decade in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 4, -5, -0.6, -0.1 in descending order.\nAnswer: 4, -0.1, -0.3, -0.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -690172 greater than -690155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -431203253 (base 6) to base 14.\nAnswer: -10255bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35092\/157833 + -2\/17537. Let 0*x + 0 - r*x**3 + 58\/9*x**2 = 0. What is x?\nAnswer: 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -4*o, -3*o - 4*s = -46 + 18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*h - h. Does -19 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16015\/8? (a) -0.01 (b) 2\/15 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2.001. Let j = 0.06 + u. Round j to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484319 is divided by 60288?\nAnswer: 2015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6*w - 63 = 0, 2*w = -2422*y + 2419*y + 15. Calculate the remainder when 4946 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10613777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*2\/(-4) + -326. Let m(d) = -18*d**2 + 255*d - 9. Let z be m(16). Let i = o - z. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -18. Suppose k + 6 = c*k. Put 5, k, -0.5 in ascending order.\nAnswer: -0.5, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**3\/7 + 452*o**2\/7 + 4536*o = 0.\nAnswer: -49, 0, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5855.\nAnswer: 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.7 - 0.7. Let d = 5.0031 + -0.0031. What is the third smallest value in -1, d, g, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -11 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 8*a + 123. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*n - 140, -w = n - 3*w - 32. What is the remainder when 88 is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 2*i - 19. Let x be f(-6). Let b = x - -73. Calculate the greatest common factor of b and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, k: 1, o: 4}. Give prob of sequence ll.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -363740 + 363333.347. Let j = o + 406. Let u = 0.007 - j. Round u to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 - -69.8. Sort 1, h, -4\/7 in decreasing order.\nAnswer: 1, h, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83511 divided by 3.\nAnswer: -27837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -149 - -236. Suppose 2*r + 36 = 2*w, -w + r = 3*w - g. Calculate the remainder when w is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1477608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - o + 1. Let y(q) = 6*q**3 + 2*q**2 + 10*q + 5. Suppose 4*m + 18 = n, 0 = 5*m + 25*n - 23*n + 29. What is m*t(g) + y(g)?\nAnswer: g**3 + 2*g**2 + 15*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 4*l. Let t(p) be the second derivative of 0*p**3 + 0 + 5\/12*p**4 + 0*p**2 + 201*p. Calculate k(t(w)).\nAnswer: -25*w**4 + 20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*h - 26 + 0 = 73 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 50*s + 100. What is the tens digit of x(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfffqfifqkfqj. What is prob of sequence fkm?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*l - w = -160, 3*l - 3*w - 105 = 0. Let s = -16 + l. What is the remainder when s is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 3*k**2 + 2*k - 4. Let w be b(3). Factor 4*i**2 + 6*i**w + 5*i - 5*i**2 - 10.\nAnswer: 5*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12752355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 20*d. Let f(p) = -20*p**2 + 10. Calculate y(f(o)).\nAnswer: -400*o**4 + 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 2 - 4 - 2)*(2 + 0 - 7) to p*x + v and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 76 - 70 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4)\/(((j\/(j\/j**1*j))\/j)\/j))\/(j**(-2\/7))**13 assuming j is positive.\nAnswer: j**(153\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2\/4 + 31093433*k\/2 - 62186865\/4 = 0.\nAnswer: 1, 62186865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2620 - 332. Suppose -608 = -4*t - g. What is the units digit of t\/(-8) - 3\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014413 to 6 decimal places.\nAnswer: -0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -13. Differentiate -2 - 3 + 4*f**4 - o*f**4 with respect to f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**7\/14 + v**6\/10 - 3*v**5\/20 - v**4\/4 - 2*v. Factor r(p).\nAnswer: 3*p**2*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/(-3) + 18 + (-27 - -14). Let v(c) = 7*c**2 + 4*c + 4. Let p = -3 - -7. Let l(n) = n**2 + n + 1. What is p*l(o) + x*v(o)?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -45172, -44782, -43720, -41650, -38236, -33142, -26032, -16570?\n\"Answer: 56*n**3 - 2*n - 45226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**5\/5 - d**4\/2 - d**3\/3 + d**2\/2 - d + 119. Let c(a) = -10*a**4 - 5*a - 5. Let u(s) = -c(s) + 5*i(s). Factor u(r).\nAnswer: 5*r*(r - 2)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-8)*0\/(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 598.999997845 + -599. Round d to seven decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/27 and (-4*1\/(-18))\/(8\/12)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*t + 8 = 2*k - 49*t, -5*t = 4*k - 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 9*g - 14*g. Let j = -20 - g. Calculate the remainder when 98 is divided by j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, m: 2, n: 3, p: 7, a: 4}. What is prob of sequence pa?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a century in years?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 1:18 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -11*q + 2. Let c be g(-3). Let l = c + -16. Does 4 divide 2\/(-4) + l\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 6055803 = 2*w + 2*w, 0 = -5*w - 2*s + 7569795. Let k = w + -9029407\/6. Let f = k - 9078. Calculate the common denominator of f and 71\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 7. Suppose -3*o = 2*m + 15 - 2, 0 = -3*m + g. Put o, -4, 0 in decreasing order.\nAnswer: 0, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-105)\/(-45)*1\/((-14)\/(-294))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960 is divided by 121?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**6\/120 + m**5\/3 - 15*m**4\/8 - 23*m**3\/6 + 134*m**2 - 2*m. Calculate o(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - n**2 - n - 5. Calculate d(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 p, and 1 r when three letters picked without replacement from {r: 1, p: 1, q: 1, x: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18974 is divided by 47.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.3 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 - (-11)\/20*-8\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 670.81743 seconds in hours?\nAnswer: 0.186338175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1022798*8\nAnswer: 8182384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31374*x**5 + 6551*x**3 - 7483*x**2 - 9*x - 70.\nAnswer: -1882440*x**2 + 39306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 22 + 22)*(52*x - 83*x - 63*x)*(0*x + x**2 + 0*x).\nAnswer: -188*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + 123 - (-2 - -2). Let h = l + 13. Let y(i) = 2*i**3 + i**2 + i - 2. Let x be y(2). Calculate the highest common divisor of x and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2211 - -3253. Suppose f = 2*n + 992. Solve n = u + 4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 - 2*n**2 + 3*n + 1. Let l be d(-3). Suppose -9 = -2*s + 1. Suppose -s*f = 3 - l. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6485, 4, -1, -4, 3, 8 in increasing order.\nAnswer: -4, -1, 3, 4, 8, 6485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6742\/4*(30 - (-400)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -114838, -232126, -349414, -466702?\n\"Answer: -117288*j + 2450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 448*z - 6*z**2 - 415*z - 63 + 34 + 863*z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 17.1 times 427\nAnswer: 7301.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**2 - m. Let t(a) = -a - 2. Let d(w) = -w**3 + 7*w**2 - 8*w + 9. Let n be d(6). Let y be t(n). What is p(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 3*n = 22, 0 = -2*y + n + n - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/((-11)\/2))\/(1\/2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - -1) + (1 - 2). Let h = k - 1. Let p = 628581.9 - 628582. Which is the closest to p? (a) h (b) 2\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 2:41 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1788*j + 1781*j = -28. Solve 4*z = 4*u, 3*u - 4*z + j = -0*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83276856.000047 + -83276800. Let f = -56 + y. Round f to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5954 and 702?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d**3 - 2*d**2 + 2*d**2)*(-18*d - 14*d - 8*d) + (0 + 1 + 2*d - 10)*(-d**3 + d**3 + 2*d**3) to z*d**2 + w*d**3 + k*d + b + s*d**4 and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97 - -101. Let o(x) = x**2 - x + 1. Let z(w) = w**2 - 4*w + 4. Let j(h) = r*o(h) - z(h). Let g(n) = -3*n. Determine g(j(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -909 and -1.\nAnswer: 909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19234 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(7\/8) - (-27144)\/1827?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10*x**2 + 118*x - 12. Let q be v(-12). Let r be ((-4)\/q)\/(-5 + 172\/36). Determine c, given that -r*c**3 + 3*c**2 + 0*c + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 - 4. Let a(p) = -4*p**2 + 5. Let o(z) = -4*a(z) - 5*k(z). Suppose -h = -0 - 5. Let x(i) = 4*i - h + 5. Calculate x(o(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4 - 1159134*r**3 + 167946055860*r**2 + 839766212824*r - 1007711109552 = 0. Calculate r.\nAnswer: -6, 1, 289786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*k**2*u - 3326710*k**2 + k*u + k - 11062334*u wrt k?\nAnswer: 12*u - 6653420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**4 + 305452*a**3 + 3*a**2 + 3421816 wrt a.\nAnswer: -4*a**3 + 916356*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 - 31. Let x be (-180)\/108*(0 - w). Calculate the highest common divisor of x and 615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 72 = -0*l. What is the highest common divisor of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -411*a**2 - 53*a - 20. Let d be i(5). What is d rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60131, -60718, -61323, -61952, -62611, -63306, -64043?\nAnswer: -64828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 60, 91, 142, 213, 304?\n\"Answer: 10*i**2 + i + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2381883 and 127260.\nAnswer: 142912980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19350 and 896589990.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/13 (b) 1 (c) 2\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17051072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 5 - 1 - 20 + 8 - 10*f + 33*f**2 + 9*f.\nAnswer: 33*f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 384 by -192.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -12575 (base 9) to base 15\nAnswer: -27b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*j**4*u - 38*j**3*u + 2253*j**2 + 2*j*u + 2*j + u + 12653620 wrt j?\nAnswer: 48*j**2*u - 228*j*u + 4506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 4*o + 4. Let s be v(3). What is the tens digit of 0 + -4 - -48*s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 9*y - 47. Let z be d(7). Suppose -43*g + 12 = -39*g - m, -5*m = 2*g + z. Solve -8\/13*t**4 + 4\/13 - 18\/13*t + 18\/13*t**3 + 4\/13*t**g = 0 for t.\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 27, -4\/55, -2\/5, -521, 0.4?\nAnswer: -521","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 - 3 - 12)*((0 + 3 - 5)*(2 - 2*d - 2) - d + 4*d - 5*d).\nAnswer: -126*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3051*o**3 + 4*o**2 - 96022 wrt o?\nAnswer: 9153*o**2 + 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -370 + -320. Let v = 725 + q. What are the prime factors of v?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.01 less than -6.9?\nAnswer: -112.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -2. Let t = 0.023 - 0.233. Let z = t - 0.09. What is the closest to 0.1 in x, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6227\/1786 + 12\/893. What is the nearest to 0 in -5, 24, q, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -7. Suppose n*s - 2*s - 6 = -3*v, -8 = -4*v + 4*s. Solve -4*y - v + 18 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 14*n + 6. Is w(8) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 20, 2*a + 6*y - y - 44 = 0. Suppose -3*f = 3 - a. Solve 2 = t - u, 4 = -4*t - f*u + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1374 = 626. Suppose 2*g = 4*n - r, 5*n + 4*g + 366 = 1629. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5290894 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 259?\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d - d + 3*d)*(0 + 2*d + 0) - 12927 - 64*d + 42*d + 1569 + 22*d + 3*d**2.\nAnswer: -d**2 - 11358","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 4*x - 44, -3*l - 5*x - 20 = -69. Let p(d) = d**3 - 14*d**2 + 15*d - 11. Is 4 a factor of p(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 0 + 2*m**2 + 0*m - 1\/6*m**4 + 1\/3*m**3 + 1\/60*m**5. What is the units digit of z(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52449390?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*q - 6*q**3 - 21*q + (4 - 4 + 5*q**3)*(1 - 1 - 2).\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66186865.\nAnswer: 5, 17, 797, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from {z: 2, f: 4, l: 3}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 50781 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23.7 - 24. Suppose -7*f + 6 = 2*h - 4*f, -4*h = 4*f - 8. Let q be 68\/(-17) - (1 + h). Which is the third biggest value? (a) q (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (11 - 9 - (7 - 4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 48 + 8. Suppose 2*f + u = 222. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 15 = 4. What is the lowest common multiple of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 - 4. Suppose 0 = -5*f - 1 - r, 2*s - 5*f - 767 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24296 - -25268. Calculate the highest common factor of a and 468.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38 and 209.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 57, 150, 313, 570, 945?\nAnswer: 1462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 560159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-5))\/((-195)\/325).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.05 or 328?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*z - 453 - 267. Calculate the least common multiple of 105 and z.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 661*g**2 + 31*g - 49. Is v(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -372*r**4 - 9253*r**2 + 3218 + 9258*r**2 - 53 wrt r?\nAnswer: -1488*r**3 + 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/25 - (-44)\/10. Let f(s) = s**3 - 3*s**2 - s + 4. Let g be f(h). Suppose -3*y = -g + 1. What is the second smallest value in -4, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -528*c**3 - c**2 + 15*c + 24. List the prime factors of f(-3).\nAnswer: 2, 3, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 71*q**3 - q**2 + 25*q - 29075. Let d(v) = 17*v**3 + 6*v - 7269. Let h(g) = -6*c(g) + 25*d(g). Differentiate h(r) wrt r.\nAnswer: -3*r**2 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 800*k - 168*k = -289*k - 6447 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 263\/448 - 81\/(-189) and -35\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0573997915 to four dps.\nAnswer: 0.0574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000503484485 rounded to six dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720) + (0 + sqrt(720) - sqrt(720)) + sqrt(720) - sqrt(720)) + 2*sqrt(180) + (sqrt(100)\/(1*sqrt(4)) + sqrt(25))\/sqrt(5))**2 + -2)*3.\nAnswer: 10134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -27*f + 416. What is the remainder when f is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 477 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7680 and 8510688.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.765 + 7.865. Which is the closest to -0.5? (a) -0.2 (b) m (c) 0 (d) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, p: 3, v: 9, t: 2}. What is prob of sequence tvtp?\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33 - -32?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2423 - 3?\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*i + 84 = -79*i. Let l be 55\/(-33) - 46\/(-6). Calculate the highest common divisor of l and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 10213.\nAnswer: -10212.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -25) + (-35 + -4)\/(2 + 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 62*p - 336. Let h be r(56). Suppose 7*i - 2*i = 60. Let t(o) = -2*o - 6. Let b be t(-5). Solve h*a = b*a - i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 2*g**2 - g + 7. Calculate the remainder when 12 is divided by s(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 20*v + 44, -243*v + 240*v + 15 = 3*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -105*g**2 + 328*g + 56. Let f(t) = 53*t**2 - 165*t - 23. Let p(y) = -3*b(y) - 7*f(y). Calculate p(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165861 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81 + 0 + 0 - (-283 - (-120 + -153))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**2. Let d(h) = 90*h + 4. Let k(s) = -187*s - 7. Let y(x) = 5*d(x) + 3*k(x). What is q(y(f))?\nAnswer: -36963*f**2 - 666*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1.414 times 6293\nAnswer: 8898.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 938?\nAnswer: -937.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 825323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10668293 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -4 (b) -1 (c) -3 (d) -0.06 (e) 5181 (f) 2\/3 (g) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 43\/6 - 3\/18. Suppose 0 = 12*m - h*m. Suppose -3*s - 2*p + 25 = m, -4*s + 5*p = -2*s - 42. What is the remainder when s is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 12 + 4\/5*f**5 + 3*f**2 + 0*f**3 + 0*f**4 + f. Find the second derivative of t(l) wrt l.\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 times -0.2818544\nAnswer: -9.0193408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.91*1.1.\nAnswer: 26.301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13936 - -459830\/33. Let d be (-66)\/1012*(291\/9 + 0). Let f = d - 523\/690. Calculate the common denominator of f and n.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 30*p**2 - 28*p - 6. Let m be v(29). What is the highest common factor of m and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35998595*n**2*v + 28857850*n**2 wrt v.\nAnswer: -35998595*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 8:40 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1815383 to the power of 1\/2, to the nearest integer?\nAnswer: 1347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and -51885133?\nAnswer: 726391862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2860)\/(-50) - (-1)\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -14. Does 12 divide (39\/i - 3)*33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -401586, -1606376, -3614360, -6425538, -10039910?\nAnswer: -14457476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/11 - (2 - (-612)\/22). Let a = s + 33. Suppose 0 = -f + a*q + 19, -3*f + 2 = 2*q - 0. Solve 0*n + 5*n - 12 = -f*c, 3*n - 12 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 + 91. Let g = 12.989 - o. Round g to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 374360.21900812645 - -0.78102687355. Let p = -374360 + a. Let w = 1 - p. What is w rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -38. Let v(a) = 15*a + 33. Let w be v(-2). Suppose 194 = 2*c + q, 5*c + 2*q - 495 = -w*q. Calculate the remainder when c is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149990, 299984, 449978, 599972, 749966?\nAnswer: 899960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.023 and -330.\nAnswer: 7.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 - 3*r**3 + 4*r**3 - 18 - 3*r**3 to the form x*r + n*r**2 + z*r**3 + i and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 153640*r + 20434118. Calculate g(-133).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -0.027, -1, -0.3, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1061.01*0.04\nAnswer: -42.4404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3\/7 (b) -3\/4 (c) -3\/7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 5 (c) 0.2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1195\/45 - (-44)\/99. Suppose -m*p = -4*p - 575. Calculate the remainder when p is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28*182459.\nAnswer: 5108852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806657454?\nAnswer: 2, 3, 223, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 14, -315, 4 in increasing order.\nAnswer: -315, 3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 162781*x + 3 - 6 + 54663*x.\nAnswer: 217444*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 952*m + 14256 = -2564*m - 27936 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -98, -202, -306, -410?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 3*r + 16. Let s be z(-10). Suppose y + 2 = 0, y - s = 4*c + 124. Let b = -50 - c. Solve -8 = -0*p + b*p + 2*l, -p - 4*l = 16 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f*k*o**3 - 11*f*k*o - 4*f*o*x - 3*k*o**3*x - 4*k*o**3 - o*x + 2*o wrt o?\nAnswer: -12*f*k*o - 18*k*o*x - 24*k*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**5*u)\/(u*u\/u**5))\/(u**(1\/4))**10)\/(((u**(5\/2)*u)\/(u*u**(2\/5)*u))\/(u\/((u\/(u*u\/u**(-1)*u*u))\/u*u))**(-9\/2)) assuming u is positive.\nAnswer: u**(-171\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1033 - 11?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -201110 (base 3) in base 2?\nAnswer: -1000001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 251. Let g be b(16). Let i(q) = -2*q**2 - 4*q - 13. Determine i(g).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/5)\/((-38)\/((-190)\/(-9)))?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 273, 272, 271, 270, 269, 268?\n\"Answer: -v + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43 and 1419.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 1 (b) -2 (c) 0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*r - 120. Let a be (-2)\/(-6) + (-268)\/(-6). Let v = a - r. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, 3, -176, 2, -4 in descending order.\nAnswer: 6, 3, 2, -4, -5, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 70 from 5.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(76) - (sqrt(76) - sqrt(76)*2 - sqrt(76)))\/sqrt(4) - (-5 + sqrt(19) + -1)) + 1.\nAnswer: 37 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00650074 to four decimal places.\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 24282 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22*(3 - (-42)\/4). What is the highest common factor of 27 and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 0, 8, 16, 24?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -125*m**2. Let n(q) = 7*q**2. Calculate 6*j(d) + 110*n(d).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 9 = -3. Suppose 0 = 3*w + z*v - 9, 6 = w + w - 3*v. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 0.021?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 9:41 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -311*u - 210. Let a(b) = -70*b + 1. Let g(t) = -4*a(t) + m(t). What is g(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*m - 19*m - 1472*m**3 + 86*m.\nAnswer: -1472*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 + (0 + 4 + -35 - (68 - 81)).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 550*n - 5. Let j(s) = 2644*s - 24. Let x(u) = -5*j(u) + 24*p(u). Let o(h) be the first derivative of -7*h**2\/2 + 1. Give o(x(b)).\nAnswer: 140*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0051678593 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 0*h**3 + 1\/12*h**5 - 5\/24*h**4 + 9*h**2 - 1\/42*h**7 + 0 + 1\/24*h**6 + 0*h. Factor q(x).\nAnswer: -5*x*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 5*j - 3. Let d be q(3). Suppose d*w - 8 = -w. Differentiate 2 + 9*b**4 - w - 1 with respect to b.\nAnswer: 36*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*3\/(-15))\/(1\/7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2186064 divided by 24.\nAnswer: 91086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 17*p - 6. Let y be m(4). Suppose 3*g - 19 = -4*k, 4*g + 3*k = 5*k + y. Calculate the remainder when 50 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and ((-2 + 7)\/10)\/(6\/72)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - b = 133, -d - 2*b + 5*b + 21 = 0. Suppose 5*h = -40 + 130. Calculate the highest common factor of d and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18.26 - 0.74. What is the second smallest value in -5, 2, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76023816.\nAnswer: 2, 3, 11, 47, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 1. Let s(n) = 55*n - 18. Let i(q) = 3*j(q) + s(q). Is i(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155 (base 10) to base 7\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/6070163 and 11\/5.\nAnswer: 30350815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -70 in 0.5, 5, -1, -219.5, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -3\/5 (c) -23\/3 (d) -1\/5 (e) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 13348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1720 = -5*z + 1495, u - 355 = 8*z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (-12 - (-13 + 9))) + 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17655646*h**3 - 68745217*h wrt h.\nAnswer: -105933876*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 5 = -4*y. Suppose -24*v + 37 = -155. Which is smaller: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -1\/60*k**6 + 9*k - 3\/80*k**5 + 0 + 0*k**2 + 0*k**3 - 1\/48*k**4. Factor j(d).\nAnswer: -d**2*(d + 1)*(2*d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5 + 7*h**4 + 7*h**3 - 19*h**2 - 16*h + 20 = 0. What is h?\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + sqrt(80) + sqrt(80) + -1) - (sqrt(80) + 5 + (sqrt(80) - (sqrt(80) + -3)))*-5)**2.\nAnswer: 2304*sqrt(5) + 7504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08355 times -0.1?\nAnswer: 0.008355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 130, 261, 392, 523?\n\"Answer: 131*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*x - 3 = 0, -x + 2*x + 5 = 4*c. Let k = -9 - -13. Let f(w) = c + k*w**2 + 4*w**2 - 6*w**2. Give f(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-6 + 1) - 3. Let a(g) = g**2 + 3*g + 9. Let s be a(x). Solve 0 = -2*v + 3 - s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - 26. Let j = x - -71. List the prime factors of j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*x + 4*r + 52 = 97*x, 6*x = 4*r + 46 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -18. Let z = k - -26. What is the remainder when 1\/((-2)\/(-86)) - 0 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*(-10)\/15\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 + -3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 30 - 127 - 5*f + 34 + 32 + 33. Let v(u) = -u. What is v(y(c))?\nAnswer: 5*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (174\/464)\/((-2)\/(-48))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 9*x**2 - 9*x + 5. Let k be (-27)\/(-9) - 2*(-2)\/(-4). Suppose 0 = 3*t - k*t - 76. Calculate the remainder when t is divided by q(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 4*u + u - 96, 0 = -2*i + u - 54. Let b = i - -63. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.596 times 0.037?\nAnswer: 0.170052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**3\/2 + 1039*s**2 + 1079521*s\/2 = 0.\nAnswer: -1039, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h - 6. Let n be b(-3). Let p be (n\/(-7))\/(2 - 0). Solve p*z = -2*z - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1*sqrt(468))**2*6.\nAnswer: -14040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -28 + 1933 - 3\/(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 417 - 27940\/67. Let r = -53\/938 + m. Which is greater: r or -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3 - (-1)\/3. Let u = r + 1. Suppose u*l - 7 = 9. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2*6\/(-16))\/((-27)\/(-9)). What is the second smallest value in -0.1, -0.5, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20635717?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/9 - (-160)\/90. Solve 3*x = 6*x - r*n + 21, -2*n = -6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 2, 6, 0, 3, -51 in increasing order.\nAnswer: -51, -6, -3, 0, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 + 6*g - 3. Let f be x(-8). What is the units digit of f\/(-44)*(-49 + 1) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c + 25*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 30 = 0, 27*g + j - 10 = 25*g. Solve 6 = 2*l + 4*b, -l + g = 8*b - 11*b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2493 and 7362.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 80676 + 80991 for s.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d + 29*d - 9251 = -y, 3*y - 27793 = 2*d. Is 47 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + m - 325 = -4*m, 3*m - 108 = 2*r + 67 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 131, 124, 115, 104?\n\"Answer: -a**2 - 4*a + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 3. Let y be g(-7). Suppose 0 = 3*o + 4 + 11, -5*m = y*o. Suppose k + 3916 = m*t + 2*k, -2*k - 3928 = -4*t. Round t to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g - 3*g - 24*g)*(4*g - 3*g - 3*g + (2 + 1 - 4)*(-g + 0*g + 0*g)).\nAnswer: 31*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 2*s**2 + 2*s + 7. Let g(b) = b**2 + 7*b - 2. Let f be g(-8). Suppose -f = -6*l + 4*l. Let p be i(l). Solve -2 = 3*o + p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 6. Calculate s(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*i**2 - 30*i - 3718?\nAnswer: 26*i - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-870)\/522*(-18)\/230\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uur when three letters picked without replacement from {u: 2, r: 1, h: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71 + 8. Let d(z) = -z**3 - 3*z**2 - z - 31. Let q be d(-4). Is (c\/(-3))\/(q\/33) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071047556 to the power of 1\/3, to the nearest integer?\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, g: 6, m: 4}. Give prob of picking 1 g and 2 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, o: 3, v: 3, s: 2, w: 1}. Give prob of picking 2 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.492 - -0.508. Sort -11\/2, 1, h, 0.5.\nAnswer: -11\/2, 0.5, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3698065*x**5 + 3*x**4 - 219*x**2 - 1287*x - 37.\nAnswer: -221883900*x**2 + 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b. Let m be c(1). Suppose 2*q - m = 0, 5*w + q - 46 = -2*q. Is w a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 7. Let q be n(5). Let u = -1215 - -1218. Calculate the highest common factor of u and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11, 20, 31, 44?\n\"Answer: p**2 + 6*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -0.07, -1\/2, 2, 1\/26?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*(-12)\/20)\/((-2)\/10). Suppose -3*k - 5*w = -17 - 8, 3*w - 15 = 5*k. Solve -y*x + 6*x = k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/2*(-15)\/(540\/48)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from ztzrzruuuur.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -100212?\nAnswer: 100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 56 - u - 3*u - 3 - 12 + 0*u.\nAnswer: -2*u - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 35*i**3 + 2*i**2 - 18*i + 3. Is n(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344*p - 371*p = -108. Solve 13*j + 2*r = 8*j + 10, -p*r + 20 = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (-10 + -418) - 8 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 6*k - 64. Suppose -4*y = k*s - 1463, 4*y + 3106 = 5*s + 625. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2. Suppose 24 = 3*r - 12. Let c(z) = -r*z + 2*z + 2 - 2. Determine c(o(p)).\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -9052 and 0.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*i + 1135*i - 110*i + 1082*i - 37314 = 0 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4005372 divided by 8141?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0.5. Let k = 5 - 3. Let i be (-6)\/21 + (-60)\/(-112). Which is the closest to -2\/3? (a) y (b) k (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/3 - 39565906*g\/3 - 26377272.\nAnswer: (g - 39565908)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8240 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - 58*r**2 - 101*r**2 - 2 + 45*r**2 to b*r + s + i*r**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 13*l**2 + 13*l + 136. Let w be a(11). Solve 40 - w = 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from oxxokckbxx.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021011021222121 + 11?\nAnswer: 1021011021222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(((-3)\/27)\/(40\/3)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s + 23*s = 4*y + 4, -6*y + 5*y + 8 = -3*s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 15 = 8*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 1. Let y be m(0). Let w be ((-4)\/(-10))\/(y\/5). Is 2 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106.2 times -0.019?\nAnswer: 2.0178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(5500) + -5*(2*sqrt(5500) + sqrt(5500) - sqrt(5500)) - sqrt(5500) - sqrt(5500))\/((-4*-4*sqrt(55))\/sqrt(5)).\nAnswer: -55*sqrt(5)\/8 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4518\/16657?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*j**2\/11 + 864281514*j\/11 + 172856304\/11 = 0.\nAnswer: -1\/5, 28809384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4796 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5 + 6*v + 93*v**2 + v**2 - 90*v**2. What is p(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 222 - -22.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/4246640 and -115\/324342?\nAnswer: 1414131120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in hours?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -2*x - 8\/15*x**3 + 0 + 0*x**2 + 1\/15*x**4. Find i, given that t(i) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 316*i + 320.\nAnswer: -4*(i - 80)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by 580.\nAnswer: 7\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p + 4*p - 3*p + (43*p - 18*p - 9*p - 2*p + p - 2*p + (2 + 0 - 4)*(0*p + 2*p - p))*(3 - 3 + 6) + (-1 - 3 + 2)*(0*p + p + p).\nAnswer: 60*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 65?\nAnswer: -18\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(200) + 2 + 3 + (sqrt(200) - (sqrt(200) - (sqrt(200) + sqrt(200) + -2 + sqrt(200)))*6))*3*1)**2.\nAnswer: -1766205 + 88200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46493?\nAnswer: 19, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -8 - 7) + 12 - 6 - -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/13 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62 and 521852?\nAnswer: 16177412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(960)\/sqrt(4) + sqrt(60)\/sqrt(4)*-6)\/(sqrt(24)\/(-3*sqrt(392))).\nAnswer: 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 9 + 1 = 0, 4*g = -4*i + 36. Let v be (2\/(-6))\/(-3*i\/315). Let k = -1 + 3. Solve -3*u = k*u - 2*c - 7, -v*c = 4*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3222795 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -407 - -1891. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 - -2 - (7 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 43*m - 30. Let w be i(1). Solve w*o - 19*o + 18 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44930 is divided by 44923?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (652\/(-489))\/(36\/(-567))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 450, 895, 1338, 1779, 2218, 2655, 3090?\nAnswer: 3523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -6. Let g be (6\/9)\/(2\/(-18)). Let n = a + g. What is the smallest value in 1, n, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/(q*q\/q**(-17))*q*q**(-2\/61)*q)\/((q\/(q**(-1\/8)\/q)*q)\/q)**(-1\/25))**(-2\/25) assuming q is positive.\nAnswer: q**(170163\/152500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(80)\/sqrt(10).\nAnswer: -3 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -82da87?\nAnswer: -82da88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -470 - -7?\nAnswer: -463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 - -6.1. Let c be -2 - ((-48)\/11)\/2. Let o = -2.7 + 3. Put c, o, r in decreasing order.\nAnswer: r, o, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/222 and 7\/962.\nAnswer: 2886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j = 24*j - 30. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80524 + 9524. Round t to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 815297?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1134 + 34112?\nAnswer: 32423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14681 times -0.5\nAnswer: 7340.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 11*m**3 - m**2 + 9*m - 15. Let z(q) = 5*q**3 - q**2 + 4*q - 7. Let l(d) = -4*w(d) + 9*z(d). Let u be l(5). Sort 0, u, -5 in descending order.\nAnswer: 0, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2 - 1) + -1 + -2*87\/96 and -109\/28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1314 and 216.\nAnswer: 15768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47996 times -0.1?\nAnswer: 0.047996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -9. Calculate the remainder when f is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 17*g + 19. Determine l(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -295 times 951?\nAnswer: -280545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -152 + 158. Sort -0.4, m, 2\/21 in descending order.\nAnswer: m, 2\/21, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.038 - 11292.6.\nAnswer: -11292.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from rddmdrrmdmh?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/4 + 13\/78*537?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 56 + 61*h - 743*h - 28 - 1243*h.\nAnswer: -1925*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i + 34. Let t be a(7). Let v = 13 - 8. Sort 1, t, v in increasing order.\nAnswer: t, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 40*f + 1957. What is j(-46)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from brxbbbrbbrbbxxbbxb. What is prob of picking 4 x?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*q - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*o - 1320. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -62*q + 249. Let r be w(4). Suppose 3*n + 2*s - 39 = 0, 3*n = 5*s - 0*s + 18. Sort 3, r, n, -5 in descending order.\nAnswer: n, 3, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five quarters of a millimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2106 + -0.209507. Round s to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/9 + 506*p**2\/3 + 31920*p - 288800\/9.\nAnswer: 2*(p - 1)*(p + 380)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -d - 2*h, 4*d - h = 3*h + 164. Calculate the remainder when d is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33331 - -1?\nAnswer: 33332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 8*z - 27 + 20 + z**2 + 17. Let p(g) = -7*g**3 - g + 1. Let c be p(1). Calculate j(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 s when three letters picked without replacement from {x: 3, c: 2, z: 1, u: 3, f: 1, s: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 710*u - 126025.\nAnswer: -(u + 355)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*f**3 - 2*f - 41*f**3 + 20*f**3 + 12*f**2 to the form z*f + r*f**2 + q + s*f**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-11)\/66)\/(50\/(-5250))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-50)\/15*(-6)\/4. Let j(u) = -2*u - 3. Let r(k) = 3*k + 6. Let c(a) = -11*j(a) - 6*r(a). Determine c(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + l**3 + (2 - 2 - 2*l)*(2*l**2 - 2*l**2 - 2*l**2) + 2*l**3 - 3*l**3 - l**3 + l**3 + 2*l**3 - 4*l**3 - 326 + l**3 + 326 - 11*l**2.\nAnswer: 3*l**3 - 11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*o = 0, 2*u = -10*o + 8*o + 14. Suppose u*g - 2857 = -5*c, 0 = -c - 2*g + 769 - 200. List the prime factors of c.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1467*i**2 - 1450*i wrt i?\nAnswer: -2934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 754487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from rtr.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 + 13*w**2 + 13*w - 11. Let n(a) = a**3 + 6*a**2 + 6*a - 6. What is 13*n(i) - 6*u(i)?\nAnswer: i**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n - 18 + 29 - 210 + (-5*n + 0*n + 4*n)*(1 + 0 - 2).\nAnswer: -n - 199","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 94365 and 19008?\nAnswer: 66432960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -32, -266, -874, -2036, -3932, -6742, -10646, -15824?\n\"Answer: -30*p**3 - 7*p**2 - 3*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 3:24 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 21 + 4, 4*x = 5*q - 17 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 0 + 0 - 2*m**3 + (2*m + 2*m - 3*m)*(-1 + 1 + 2*m**2) + m - m + 2*m**3 + 3*m**3 + m - m.\nAnswer: 5*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 760\/(-48)) + -13.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07494 to three decimal places.\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 divided by 2?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -6 - 0) + -7 + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(11\/4)*b*b**24)\/(b\/(b*b*b*(b\/(b\/(b\/(b\/b**(-19)))))\/b))**48)**(-42) assuming b is positive.\nAnswer: b**(70161\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -13. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 25. Let m be 3 + 2\/g + 0. Suppose 4*z - 152 = 4*c - z, -2*c - m*z = 58. Which is smaller: c or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/102 and -8\/4641.\nAnswer: 9282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -22. Suppose -184 = -5*n + w, -151 - 21 = -5*n - 2*w. Calculate the highest common divisor of n and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 0*b + 4*b + 2*b + 1 - 1 + (0 - 2 + 4)*(0 + 0 - 2*b) + 0 + 0 - b - 3 + 3 - 20*b.\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 6 = 4*w + 3*l, 12 = w - 3*l. Suppose -w*f - i + 42 = -2*f, 54 = f + 4*i. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v + 142 - 203 = -151 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 + (1 - (176 - -5))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 10*y**2 - y + 1. What is x(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 95\/3, 275\/119.\nAnswer: 0, 275\/119, 95\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eyye when four letters picked without replacement from yyeeyyey.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**34\/d)**44 assuming d is positive.\nAnswer: d**1452","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.022 - -0.021999362. Round s to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 6, 2, 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-10)\/(-80))\/(-1)*(-54)\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/153)\/((-44)\/6)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*u = -103*u - 36 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1689 + 301 = 199*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*w = 20*w + 377. Solve 34 = -w*c + 47 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(9\/5))**(-4\/11)\/(g**(-3)*g)**(-38))**(-14\/9) assuming g is positive.\nAnswer: g**(59024\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 5 (c) -631.577\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 124305000?\nAnswer: 124305000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23762737?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - -41134829.5?\nAnswer: 41134777.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8\/1282429, -3, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 9:41 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 621, 1241, 1861, 2481?\nAnswer: 3101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 8*a - 3. Suppose -3*r = -4*k - k, 22 = 5*r - k. Suppose r - 2 = 3*d. Let l be t(d). Solve -2*u - l*h = -30, 3*h - 4*h = u - 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 16*s + 16 to a*s + w and give a.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4974172 divided by 4.\nAnswer: 1243543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 a factor of 300566258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 7:35 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-7) + (-22)\/(-14). Suppose 2*i + x*i = -16. What is the units digit of (-18)\/i - (-7)\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -10.24827592.\nAnswer: -6.24827592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 46304, 46347, 46390, 46433, 46476?\n\"Answer: 43*z + 46261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**2 + 824*x - 826 = 0. Calculate x.\nAnswer: -413, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywi when three letters picked without replacement from {w: 1, o: 1, i: 1, y: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12, 106, 358, 846, 1648, 2842, 4506, 6718?\n\"Answer: 13*n**3 + n**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 41448417950 to the nearest 1000000.\nAnswer: 41448000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249, 435, 621?\nAnswer: 807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 11, -21, -14, 45, -3.\nAnswer: -21, -14, -3, 5, 11, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**3 + 4*y**3 + 0*y**3 + 4*y**3 - 6*y**3 + 0*y**3 + 2*y**3 + 3*y**3 - 4*y**3 + (1 - y**3 - 1)*(-2 + 0 + 4) + 15074 - 15074 - 59*y**3.\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 352, -1, 5, -10 in ascending order.\nAnswer: -10, -1, 5, 352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 3 + 2 + 6*k**2.\nAnswer: 6*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41.1 + -39. Let u = -131.3 - -133. Let y = j - u. Which is the nearest to 4? (a) -5 (b) y (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*u - 50*u + 16*u**3 + 6*u**2 - 19*u + 25*u.\nAnswer: 16*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-1))\/1)\/(3\/(-3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.77 and 17.4655?\nAnswer: -83.310435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7389*n + 164663 = 197751 + 365918 for n.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26458101?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - 34.9. Let z = 19 + r. Let k = z + 12. What is the nearest to -1 in 2\/9, k, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 358857953*a**3*p**5 - 3*a**3*p - 6612774*a*p wrt p?\nAnswer: 7177159060*a**3*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.045349 times -155?\nAnswer: -7.029095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/300*6*2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1337, 2668, 3949, 5156, 6265?\nAnswer: 7252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 2, s: 1, w: 1, z: 2, h: 5, c: 5}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffffff. Give prob of sequence ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*a - 332 = 0, -2*q + 3*a + 360 = 2*q. List the prime factors of q.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 422040 (base 5) to base 10\nAnswer: 14020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -2*l + 12 + 2, 0 = 2*g - 4*l + 4. List the prime factors of -3 + (56\/g - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(2*sqrt(36)))\/(-6*sqrt(96)\/sqrt(8)*1) + -4.\nAnswer: -4 - sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 i when three letters picked without replacement from {i: 10, l: 10}?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, 0, 84, 1, 256 in ascending order.\nAnswer: -1, 0, 1, 7, 84, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 685 - 632. Calculate the remainder when w is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**2\/2 + 34*b - 4. Let n be d(-14). Solve 2*g = 6*g + n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3993 + 4020. Solve 9*s = -27 + j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b0ad - -94?\nAnswer: -b019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 0*q**2 + 8*q - 1\/2*q**3 + 0. Let x(v) be the first derivative of -4*v**3\/3 + 1030. Give x(m(j)).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7548223.5 microseconds to hours.\nAnswer: 0.00209672875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 3*p**5\/20 - 2*p**3\/3 + 35*p**2 - 97*p + 33. Let n(g) be the first derivative of l(g). Differentiate n(m) wrt m.\nAnswer: 9*m**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -216.9843 - -217. What is b rounded to 3 decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) -0.01 (c) -2\/17 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8322021, 8322010, 8322011, 8322030, 8322073, 8322146?\nAnswer: 8322255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4363\/532 - -645\/76. Let u be 2\/4 + 9\/(-10). Which is the nearest to 0.2? (a) 1\/5 (b) u (c) -0.3 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o - 184. Let q(a) = 13*a - 552. Determine 4*q(f) - 11*z(f).\nAnswer: -3*f - 184","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2948?\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**6\/600 + f**5\/150 - f**4\/120 - f**3\/15 + 43*f**2 + 34. Let t(p) be the second derivative of u(p). Solve t(i) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 3*s**6\/10 + s**2\/2 - 9*s. Differentiate f(p) wrt p.\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -415 - -429. Calculate the remainder when 24 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 237 - 237.05. Which is the nearest to 1? (a) 5 (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*w*z + c*w + 182*c*z - 3*c - 16811*w*z - 2*w + z - 1 with respect to w.\nAnswer: 2*c*z + c - 16811*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 22*d + 2052. Let p be s(-93). Put -8, p, 2\/9, 0.3, -1 in decreasing order.\nAnswer: p, 0.3, 2\/9, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 11*d + 5. What is y(5)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -54279, -54195, -54115, -54039, -53967, -53899?\n\"Answer: -2*a**2 + 90*a - 54367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6797*i + 6799*i = 8. Solve -3*m - i*r + 1 = 0, -10 = m + 5*r - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63.9 - -5.1. Let l = h + -69.25. Round l to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 407466 (base 8) to base 16.\nAnswer: 20f36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23495 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - p**2 + 9 + 9)*(26 + 28*p - 26).\nAnswer: -28*p**3 + 728*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**4\/4 + i**3 - 3. Find the third derivative of p(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.042 + -0.058. Is o bigger than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -705396.8897 to the nearest ten thousand.\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 9:23 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -91*c**2 + 2*c + 7. Let q(z) = 43*z**2 - z - 4. Calculate -4*o(h) - 7*q(h).\nAnswer: 63*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l. Let g(v) = -12490*v - 5. Determine g(s(p)).\nAnswer: -74940*p - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b = -3*z - 37, 0 = 4620*b - 4621*b + 1 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36356268 - 0.1.\nAnswer: -36356268.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 188\/(-46) + ((-435)\/23 - (11 + 19 + -49)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*c - 1279 - 41*c + 90*c.\nAnswer: c - 1279","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*sqrt(76)*-5)**2.\nAnswer: 121600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u**(-1\/6)\/u)\/u)\/((u\/(u*u**(-2)\/u))\/u))**(-9\/8) assuming u is positive.\nAnswer: u**(57\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59057 - 59057.1. Suppose 3*o - 2 = -b, -2*b = -0*b + 4*o. What is the nearest to 0.1 in b, -1\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9016 and 1003352?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 4:43 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, u: 1, n: 2, i: 1, e: 2, d: 1}. Give prob of picking 1 u, 1 p, 1 d, and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.4 - -8.48848. Let a = w + -0.087. What is a rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 214989 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 206.5725ml?\nAnswer: 0.2065725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q - 63. Let u(h) = -1. Let t(y) = -b(y) + 6*u(y). Let a be t(11). Sort -3, a, 1\/2, 0.06.\nAnswer: a, -3, 0.06, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 97784813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13615 - -13617. Put w, 22.8, -0.1, -1 in ascending order.\nAnswer: -1, -0.1, w, 22.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d (base 16) in base 11?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 7.627?\nAnswer: 8.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.59 and -17.\nAnswer: 10.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - 2. Let v(l) = 2*l**3 - 5*l**2 + 3*l - 1. Let q(s) = -5*s**3 + 15*s**2 - 10*s + 4. Let o(b) = -3*q(b) - 8*v(b). What is o(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*o**3 - 36*o**2 + 162*o\/5 = 0. Calculate o.\nAnswer: 0, 9\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2. Let j(z) = -29885*z. What is j(q(g))?\nAnswer: 29885*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13751483, -13751477, -13751469, -13751459?\nAnswer: -13751447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 628.3 + -592. Let d = -3.4 - u. What is d rounded to the nearest integer?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**2 + 8*q + 8. Let g be t(-4). Let i = g + -28. What is the highest common divisor of i and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.352 less than -14102?\nAnswer: -14056.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-10 - -4 - (0 + -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 + 47. Suppose -n*c + 28 = 2*c. Calculate the lowest common multiple of c and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8343 + 8345. Sort 7, 3, 36, a, 1 in decreasing order.\nAnswer: 36, 7, 3, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 16 = -2*p. Suppose c + 234 = 4*c - p*m, -m = -2*c + 156. What is the remainder when c is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a factor of 88702303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8 - 5\/40*22 and -1 - 279\/24*-1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3568816 (base 10) to base 8.\nAnswer: -15472260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4*a**5 - 828*a**4 - 14276*a**3 + 2476*a**2 + 41208*a - 28576 = 0?\nAnswer: -188, -19, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -16*q + 22. Let l(h) = 11*h - 11. Let z(n) = 3*i(n) + 5*l(n). Determine z(5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*d = 1422 + 3220 + 4718 for d.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1535 + 1608. What is the remainder when 1604 is divided by a?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a22860 (base 11) in base 7?\nAnswer: -16653340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -8)*3\/(-3). What is the third derivative of -t**m - 12*t + 17*t**2 + 12*t wrt t?\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244d (base 14) in base 10?\nAnswer: 6341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2488 and -44671340.\nAnswer: -44673828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, e: 2, f: 3, v: 5}. Give prob of picking 1 v and 1 f.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 4*c**2 + 6*c - 5. Suppose 8 = i - 2*y + 5, 2*y + 10 = 2*i. Suppose i = 2*q - 3. Give n(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 445105599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 9:08 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-98)\/(-176) + 0 + (-24)\/132\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1518 divided by -11\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 99391880?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -7. Let s be -2 - (-3 + (x - -2)). Suppose 1 = -z, 4*p - 12 = s*z + 2. Solve 16 = n + p*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46 and 119035\/(-2506)*(-88)\/10.\nAnswer: 9614","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(121\/2 + 13). Solve p*c = 155*c + 40 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35860 and 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t = -8*t. Solve 2*s = 6 - t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -19*p**5\/12 + 7*p**4\/24 + 2*p**3\/3 - 3*p**2. Let m be h(-7). What is m rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(4\/(-16)*6)\/(159\/(-3074)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 838050 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/1)\/((-1)\/3). Suppose i - 70 = -4*g. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -123?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 372 - 368 + 13*a**4 - 4*a**3 + 2*a + 4*a**3 to the form u + j*a**4 + f*a + g*a**3 + t*a**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 14 = -9 + 55 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/3)*p)**6*(p*p\/(p*p*p\/(p*(p*p*p\/(p**(2\/5)*p))\/p)))**(-29) assuming p is positive.\nAnswer: p**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 122682 divided by -2?\nAnswer: -61341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ge when two letters picked without replacement from eeegegceeeeegeeee?\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b - 15230 = 8881. Which is greater: 1\/3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 9095520 and 9095514 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 9. Let l(t) = -2*t + 26. Let o be l(z). Suppose o = -2*x + 4*a + 52, 5*a = 2*a + 3. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.069824 and -83971110?\nAnswer: 83971110.069824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2412, 2404, 2384, 2346, 2284, 2192?\nAnswer: 2064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-6 + 8 - 5) - 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9941315 is divided by 310666?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1679, 6492, 14495, 25688, 40071?\nAnswer: 57644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/120)\/(18\/8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 137 - 122 = -195. What is the nearest to -1 in -5, k, -9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -35, -80, -153, -260, -407, -600?\nAnswer: -845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.58115 tonnes in nanograms?\nAnswer: 33581150000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/16 - 3)*12\/(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcroaoookkpp. Give prob of sequence kp.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 9:39 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**15\/i)*i)**(-26)\/(i**(3\/16)*i\/(i*i\/i**(-38))*i) assuming i is positive.\nAnswer: i**(5597\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1783 - -10735\/6. What is the common denominator of -71\/30 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 298\/1978 - 62*(-135)\/359910\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -189.5834\nAnswer: -56.87502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -12. Suppose -z*c + 8 = -16. Solve 2*a - 6 = -c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -617093454 by -6.\nAnswer: 102848909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 181562*b**2*m**3 - 118*b**2 - 1178*b*m**2 wrt m?\nAnswer: 1089372*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 5, -3, 28\/43, 0.3 in ascending order.\nAnswer: -3, 2\/9, 0.3, 28\/43, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -30155 from -0.5.\nAnswer: 30154.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 11) to base 9.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 - 66. Suppose 0 = 4*w + 3*s - 4, -3*w + 0*w = -4*s - n. Suppose 9*l - w*l - m - 782 = 0, -4*l + 637 = 3*m. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -13*k**2 + 14*k - 183. Calculate p(0).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2688, -36, -23 in increasing order.\nAnswer: -2688, -36, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005480027 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 213438 = 4*p, 4*p + h - 213430 = 2*h. Suppose p = 48*s - 12066. Is s a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y - 116 - 110 - 109 + 335.\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 31 = -4*a, 10*x + 30 = 5*x - 5*a. Suppose -4*r + 1 = 21. Let m = r - x. Is m != 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/w**(2\/3)*w)**31)**41)**(2\/59) assuming w is positive.\nAnswer: w**(17794\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 68, 59, 22?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5802*h*m*z**3 + 2*h*z**3 - 2*h*z - 6*h - 11*z**3 wrt m.\nAnswer: 5802*h*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64389082 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 5*j - 3*j - 646*j**2 - 129*j**2 in the form a*j + d*j**2 + l and give d.\nAnswer: -775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -787 + 8. Let d = v + 1638. Suppose -3*n + 632 = 3*z - d, 0 = -n - 3. What is z rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + -1*sqrt(405))*-3 - 3*sqrt(405)*-2*1) + 2 + -3)**2.\nAnswer: 1296*sqrt(5) + 32869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-72)\/(-9) + -13 - (-143297 + 2). Let u = t - 311990. Round u to the nearest 10000.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7998, -8169, -8340, -8511?\n\"Answer: -171*l - 7827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/66 - (-554)\/(-831)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 15 = 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 2. Let q be y(-2). Suppose -3*m = 4*j - 7, -3*j - 2*j = 3*m - 5. Let g be j\/11 - q\/2. Which is the nearest to 2\/3? (a) 1\/4 (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -330 by -7194.\nAnswer: 5\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*i**4 + 42*i**3*j*x - 6*i**3*x + 8*i**2*j - i*j*x - 60*i*j - 4*j*x wrt i?\nAnswer: -96*i + 252*j*x - 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5614063 kilograms to nanograms.\nAnswer: 561406300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-2\/7))\/(f*f*f**(-2)*f) assuming f is positive.\nAnswer: f**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -197 + 196.98528. Round r to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*g - 2*g**2 + 71*g + 21 as b + c*g + a*g**2 and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-1 - 5) - 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 800*v - 56 - 40 - 37 + 192 - 38. What is the hundreds digit of b(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3*q + 5, -q - 9 = -5*r + q. Let w(v) = 3*v + 1. Let u be w(r). Suppose -u = 4*y - 40. What is the greatest common divisor of y and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 6:00 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 1. Let w = 119 - 79. Let o = 41 - w. Let i(x) = -2*x**3 + 6*x**2 + 5. Calculate o*i(a) - 4*j(a).\nAnswer: -2*a**3 + 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 10366 + 4538. Let h = -9604 - l. What is h rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a microgram in nanograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 23*a - 551 = -52*a for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-375 - 913 - 732)*(-46*m + 46*m + 2*m**4 - 2*m**2 + (3*m**3 - 5*m**3 + m**3)*(-2*m + 3*m - 3*m) + 6*m**4 - 3*m**4 - m**4).\nAnswer: -24240*m**4 + 8080*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3026 = -165. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8608da (base 16) in base 11?\nAnswer: -4a5a687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(-1\/16)*b)**(-11\/6)\/(b**(-2\/5)*b*b*b)**(2\/37) assuming b is positive.\nAnswer: b**(-102211\/17760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 37c?\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(-557*l + 557*l + 29*l**3)*(-3*l + 3*l + 2*l).\nAnswer: -116*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 666 (b) 217 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -197 >= -197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000072094 rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 11. Let r = -4.3 + v. What is the nearest to 0 in -0.2, r, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12532 = -4*t + 3*m, 0 = -34*t + 29*t - 6*m + 15665. What is the remainder when t is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 512877.2 years in millennia?\nAnswer: 512.8772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/5*(9\/6 - -1). Suppose 10*s - 61 = w. Suppose -s = -6*i + 89. Solve i = 2*p - 6*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*w - 2*w + 2*w)*(-73*w + 137*w + 42*w - w + w + 2*w + (-2*w + 4*w - 3*w)*(-5 + 6 - 2)).\nAnswer: 327*w**2 - 109*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5892867269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101\/9 + 116\/9. Which is greater: m or 3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267 - 88 = -163*m - 310. Let j(g) = 4*g**2 - 2*g - 3. Let t(o) = 4*o**2 - 3*o - 3. What is m*j(f) + 2*t(f)?\nAnswer: -4*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-2)*((-16)\/3)\/(-4). Suppose -16 = -0*s - 4*s, 226 = x*t + 2*s. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 57625?\nAnswer: 57629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -4, 0.814?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(480)*3*3)\/((1*sqrt(90)*6)\/(sqrt(9) + (sqrt(9) + 1*sqrt(9) + sqrt(9))*1)).\nAnswer: -24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*z + 476*z - 241*z = -0*c + 19*c - 97, -3*z - 5*c = -8 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/3 + (-30)\/5 + 2. Solve -2*f - 4*r + 13 = 3*f, -n = -2*f - r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34137795*b**2*p**3 - b**2*p**2 - 315*b**2*p + 18*b*p + 89*b + 4*p**2 + 1 wrt p?\nAnswer: -204826770*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011000100 (base 2) in base 6?\nAnswer: -5352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15800*b**5 + 314*b**2?\nAnswer: -948000*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1793, 6679, 14647, 25697, 39829, 57043, 77339?\n\"Answer: 1541*g**2 + 263*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**5\/240 + g**4\/24 - g**3\/6 + 7*g**2. Factor h(s).\nAnswer: -(s - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*q - 2 - 6*q**3 + 2*q**2 - 10*q**3 + 13*q**3 in the form g*q + j + x*q**2 + f*q**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 20\/3 - 12\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3938*f**3 + 62*f - 19 wrt f?\nAnswer: 23628*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/9)*z**(-10)*(z*(z\/(z*z*z\/(z**1*z)*z*z*z))\/z*z*z)\/z**13)**(15\/4) assuming z is positive.\nAnswer: z**(-265\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 9 = -6*o, 5*w - 67 = o. Let v(j) be the third derivative of -j**4\/24 + 8*j**3\/3 + j**2. Let f be v(w). Solve -3*k + f = -4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*v + 889*v - 3051*v - 2511*v - 2122*v in the form c*v + o and give c.\nAnswer: -6847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2156*v - 4212*v + 2144*v.\nAnswer: 88*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 45 = 3*n, -z - 2*n = -4*z + 8. Suppose -h = -z*h. Suppose o - 5*l = 11, h*o + 22 = 2*o - 2*l. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2455389?\nAnswer: 3, 19, 83, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 + -0.26. What is the second smallest value in 5, -1\/7, w?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81\/4 + 21. Suppose 4*h - 8*o = -4*o - 12, -o = -3*h + 1. Is z bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0\/(-8) + 2 + 1*259 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**3 + j. Let d(v) = 7*v**3 + 175*v**2 - 326*v. Let w(g) = -d(g) + 4*u(g). Factor w(c).\nAnswer: 5*c*(c - 33)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*1 + 119\/(-119). Let a be 0 + 0 - 2\/2. Let q(t) = -4*t**3 + 5*t + 1. Let y(c) = c**3 - c. Give a*q(z) + s*y(z).\nAnswer: z**3 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 4*y + 10, 0 = 5*j - 127*y + 129*y + 18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from {a: 2, y: 1, r: 1, m: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*l + 5*l + 14 = 0, -1 = -y - l. Let f be (27\/(-6) + y)*0. Factor 2\/3*c**2 + f + 4\/3*c.\nAnswer: 2*c*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 14*u + 1262. Let k(w) = 3*w. Determine k(s(n)).\nAnswer: 42*n + 3786","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17322 - 4?\nAnswer: 17317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94925069.\nAnswer: 31, 149, 20551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 15*x - 48 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6 = 10. Let s(m) = -20*m - 98. Let q be s(-5). Suppose -4*n + 37 = -t, -7*t + 13 = 2*n - q*t. Solve -p - n = -h*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**2 + 8*b + 10. Suppose -5*j + 2*j + 9 = 0, 0 = -3*t - 2*j + 243. Let x = -85 + t. Is 14 a factor of a(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y. Let f(z) = -2282*z**2 + 3*z - 66. Let d(q) = -12071775*q**2 + 15869*q - 349118. Let r(n) = 3*d(n) - 15869*f(n). Calculate l(r(x)).\nAnswer: 11335*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -460760*n**2*t**3*v**2 + n**2*t**3 + 8*n**2*t**2 - 1326*n*t**3 - t**2 wrt v.\nAnswer: -921520*n**2*t**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a + 7. Let b be z(-6). Let h(f) = 1 - b - 4*f**2. Let r(x) be the first derivative of x**2 - 5. What is r(h(d))?\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 6:20 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 70 = 16*f. Suppose f*r + 4*r - 341 = 0. What is the remainder when r is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pepxpopdoeleoee. What is prob of picking 3 o and 1 d?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 17*w**2 - 17*w - 13. Let t be b(18). Suppose t*y = 1725 - 510. Calculate the greatest common factor of 27 and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46811256 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8295650 divided by 117?\nAnswer: -8295650\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 157559, 315358, 473157, 630956, 788755, 946554?\n\"Answer: 157799*a - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -636*71*60\/51120?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**5\/60 - m**4\/24 + 190*m**2. Let b(s) = -s**3 + 2*s**2 + 8*s - 8. Let q(i) = -b(i) - 5*r(i). Give q(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6151*x - 2930*x - 454 = 3038*x + 644 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75\/826106 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (4 + -4)) + (-1 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -744*d + 739*d + 2*u, 5*u - 20 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**3\/12 - 5*m**2\/8 + m - 7. Factor u(c).\nAnswer: (c - 4)*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 + 23. Which is bigger: -1\/5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-24))\/(210\/25)*(-5)\/25\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 370*q**2 + 4422*q + 208. Determine w(-12).\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 106*o**3*z**3 - 4*o**3*z**2 - 104*z**3 - 9*z**2 wrt o.\nAnswer: 318*o**2*z**3 - 12*o**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from wjjqrcbb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 0.5, -1, -2286, 1, 2, 38 in ascending order.\nAnswer: -2286, -1, 0.5, 1, 2, 34, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 4*x - 218, 5*n + 3*x - 4*x - 227 = 0. Calculate the common denominator of (28\/(-22))\/(6\/(-21)) and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from wwwhwjijwjofoioiwhw?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -17. Suppose -6*s - 3*v = -4*s - 14, 0 = -3*s - 2*v + 31. Suppose -r*f + 107 + s = 0. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.073*16.2\nAnswer: 1.1826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -194 + 61. Calculate the common denominator of -89\/20 and (-1)\/16*(-1786)\/r.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4900, 0.2, 1160?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4461, 4962, 5463?\n\"Answer: 501*y + 3960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/3)\/((-1407)\/402)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 697 and 816.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d (base 14) to base 13.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 7. Suppose 7*v - 10 = 5*v. Suppose m + 2*q - 20 = 0, -5*m + m - v*q + 77 = 0. What is the smallest common multiple of m and h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19 and 10694661.\nAnswer: 203198559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2730\/11 - 248. What is the closest to -4\/9 in 2\/5, -1, l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -u + 1. Suppose o = 5*l - 3*o - 22, -3*o = -3*l + 12. Solve -l = u*v - v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-2*q - 3*q + 4*q) + (-1 + 1 - 2)*(-q + 6*q - 3*q).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -376 and -542204168.\nAnswer: -542204544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (15*(-18)\/(-10050))\/(208\/(-200)) and 67\/22.\nAnswer: 19162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1871612 to the nearest integer?\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -5*i + 2\/3*i**3 + 2\/5*i**5 - 7\/6*i**4 + 0 + i**2. Factor n(j).\nAnswer: 2*(j - 1)**2*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-33) + 12\/198.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -508119, -2032590, -4573403, -8130552, -12704031?\n\"Answer: u**3 - 508177*u**2 + 53*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -163 + -1.315\nAnswer: -164.315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160152 and 568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.317195*-3.\nAnswer: 6.951585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**3)\/r)\/(r**(2\/13)*r)*r*r\/(r**5\/r*r)*r**(-1))\/((r\/(r\/(r\/r**(2\/13))))\/(r*r**(4\/9))*(r**(-1))**(-5)) assuming r is positive.\nAnswer: r**(-113\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009422 less than 0.3?\nAnswer: 0.290578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0.09573.\nAnswer: -4.90427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -35. Suppose y + 4*y = s. Suppose -4*n = -y*w - 128, -n - 5*w = n - 88. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*d + 26*d + 27*d + 15.\nAnswer: 35*d + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 6*b - 1. Let d(j) be the second derivative of -5*j**4\/6 - j**3\/6 + 15*j. What is d(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxzxdzprxzxvdxx. Give prob of picking 2 d.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.14 + 0.24. Let u = o + -0.1. Which is the nearest to u? (a) -1\/5 (b) -1\/10 (c) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77578, -77651, -77754, -77905, -78122, -78423, -78826, -79349?\nAnswer: -80010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 11) to base 16\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30356 - 3523 + 1726 - 17261)*(-c**3 - 2*c**3 + 5*c**3) to s + h*c**3 + q*c**2 + g*c and give h.\nAnswer: -98828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -11667, -5, -3, -2 in descending order.\nAnswer: -2, -3, -5, -11667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -48, 0.05?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 83*z**3 - 3*z**2 - 6 + 1 + 5*z - 84*z**3. Let y be x(-5). Solve -5*l + y = -l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*m + 10, 4*p - 8 = -12*m + 11*m. Solve -2*d + d + n - 6 = 0, 0 = n - p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/5 + 28*q**3\/5 + 48*q**2 + 80*q - 400.\nAnswer: (q - 2)*(q + 10)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 - 2259*m + m**2 - 2247*m to q*m + c*m**2 + y and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 21\/29, 0.0234, 4\/5, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/96*-2*108\/(-56)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -696, -1071, -1028, -423, 888?\nAnswer: 3049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2312*l + 1291. What are the prime factors of x(17)?\nAnswer: 5, 23, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 10*a**2 - 7*a - 9. Suppose -20 = -3*f + 13. Let v be f*1 + (-6)\/3. List the prime factors of j(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**3\/6 + 20*h. Determine r(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*x, 4*q = 3*q + 2*x + 12. Suppose t = q*j + 96, 2*j + 81 = t - 3*j. Suppose 0 = 2*a - 4*a + t. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216820, -433488, -650156, -866824, -1083492?\nAnswer: -1300160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 - (74 + (-121 - -2)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*a - 4*t + 42, 0 = t + 3. Let o be a - 4 - (2 - -1). Suppose -4*r = 5*x - 118, -7*r + o = -2*r. Calculate the remainder when 42 is divided by x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 + 4*x - 20. Let k be f(2). Which is bigger: 5\/706 or k?\nAnswer: 5\/706","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5)*v**9*(v**4\/v*v)\/v**(4\/7))**(-35) assuming v is positive.\nAnswer: v**(-260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4795445?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550 = 2*q + 2*l, -15*l + 13*l - 1403 = -5*q. Suppose 2*h + 0*h - 62 = 0. Let d be h - 1 - (-4 + 3). What is the greatest common divisor of q and d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(-2))\/i)\/(i*i*i**7))**(-6\/37) assuming i is positive.\nAnswer: i**(42\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (6 + 2)\/2. Let j be 4 + -2 + 0\/g. Let h = 17 - j. Solve p - h = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/(t**31\/t))\/t*t)\/t*t*t*t\/((t**(-1\/12)*t)\/t)*t)\/(((t*((t\/t**(1\/7)*t)\/t)\/t)\/t)\/t*t*t\/(t**(-3\/14)\/t)) assuming t is positive.\nAnswer: t**(-2267\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21.4 - 21. Sort d, -7, -3 in descending order.\nAnswer: d, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 113 and 292.4.\nAnswer: 33041.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5706 - 2?\nAnswer: -5708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592 = 4*p - 12*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 12:01 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-56))\/((-158)\/632).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 389858?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 3:02 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 12, -1, -0.27, 1\/8.\nAnswer: -1, -0.27, 1\/8, 0.3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*u + 8*u + 4*u**2)*(-2*u**2 + 0*u**2 + 5*u**2 + (1 + 2*u - 1)*(-5*u + 2*u - u) + 9*u**2 + 2*u**2 + 5*u**2).\nAnswer: 44*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of 0*u**4 + 1\/36*u**3 + 0*u**6 + 4\/315*u**7 + 0*u - 17\/360*u**5 + 6*u**2 + 0. Find n such that m(n) = 0.\nAnswer: -1, -1\/4, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*g - 42 + 28. Let i be 2\/3*(-12)\/236. Is g bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 654872768?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.06, 43, -3\/2 in ascending order.\nAnswer: -3\/2, -0.06, 0.3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, s: 1, v: 2, q: 2, r: 1, x: 1}. What is prob of picking 1 r and 1 n?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**3 - 27*x**2 + 27. Let p(b) = 6*b**3 - 53*b**2 - b + 53. Let d be (-14 - -11)\/(3 - 2). Let g(l) = d*p(l) + 5*q(l). Let g(o) = 0. Calculate o.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11243 - -1110443?\nAnswer: 1044200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - 75908 + 75908.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -540, -405, -178, 183, 720, 1475, 2490?\n\"Answer: 7*i**3 + 4*i**2 + 74*i - 625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1471 divide 21835793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x = -43*x + 212 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 34*p**2 + 136*p + 9. Calculate the lowest common multiple of g(-4) and 399.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 267914 and 970.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 + 32?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 0.34215\nAnswer: 0.13686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/21*14\/2. Suppose s*h + 43 = -17. What is the tens digit of h\/(1 - 52\/44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 76. Suppose -524 + r = -4*d. Suppose 0 = 5*p - 3*k - 121, 5*p + 3 - d = 4*k. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2411 - 41663?\nAnswer: -44404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15801075*b**2 + 446781420*b + 3158228748.\nAnswer: 3*(2295*b + 32446)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u - 10. What is c(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzzn when four letters picked without replacement from {f: 6, z: 4, d: 1, n: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.09667km in micrometers?\nAnswer: 66096670000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -13925520 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 2650*u = 2679*u + 46, -5*f - 12 = -4*u for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -342 - 348 + 3*f + 685 + (4*f - 2*f + 0*f)*(2 - 1 - 2).\nAnswer: f - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6121409284?\nAnswer: 2, 19, 6581, 12239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 201\/2678167 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gygyyyygyyyyyyyy. Give prob of sequence gy.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**6\/18 - 33*g**5\/10 + 60*g**4 + 75*g**3 - 1482*g**2. Factor q(k).\nAnswer: 2*(k - 15)**2*(10*k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 550.9272*14.2\nAnswer: 7823.16624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/202813 in 0.2, 11, -1.5, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 - 2*h**3 - 4*h**2 + 8*h.\nAnswer: h*(h - 2)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9561.788mg?\nAnswer: 9561788000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 25*w**2 - 594*w - 904. Calculate j(25).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -304 - -4130133312?\nAnswer: 4130133003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (11 - -58) - -19?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5944.22245 to the nearest 10.\nAnswer: -5940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 775 - 771. Let j be 15087\/12 + 2\/(-8). Suppose j = -i + r*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r - 1. Let o(q) = 28*q + 12. Let n(z) = -12*k(z) - o(z). Let a(m) = -42*m. Give a(n(c)).\nAnswer: 168*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2 - 22*y - 48 = 0 for y.\nAnswer: -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 + 45 = -5*v + 2*l, -4*v = -3*l - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*3*1.\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 2*m**2 - 2*m. Let u(k) = 6504*k**3 - 17344*k**2 - 17344*k. What is -8672*n(c) + u(c)?\nAnswer: -2168*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*-2*6)\/(sqrt(4) + (sqrt(4) - (sqrt(4) + 2*sqrt(4)*3)))*-6*-1.\nAnswer: 72*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -111111011001011010010?\nAnswer: -111111011001011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (239300 - 239300 + 440*s)*(5 - 2*s - 5).\nAnswer: -880*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 20*a**3 + 98*a**2 - 65*a + 8. Determine y(-7).\nAnswer: -1595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*p + 29*p + 185328. What is the tens digit of ((-14)\/8)\/(66\/p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6229.0247 + 7.4247. What is j rounded to the nearest 100?\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*p + 78, 4*p = -5*g + 14 + 32. Suppose 4*h + p = 5*b, 10*h + 3 = -b + 5*h. Suppose 3*v + 40 = -b*v. Is v < -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 17*n + 69. List the prime factors of o(-9).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/((-1116)\/(-1776)) - ((5 - -2) + (-198)\/27)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 0*w - 4*w - 120, -b + 4*w = -62. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + (sqrt(528)\/(sqrt(24)\/sqrt(2)) - sqrt(44)))\/(sqrt(4) - sqrt(100)*-2) - (sqrt(121)\/(sqrt(99)\/sqrt(9)) - (sqrt(11) - (sqrt(1584) + -4)**2)).\nAnswer: -1600 + 1057*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**4 + 66*f**3 - 504*f**2 = 0.\nAnswer: -28, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011100000010110 - -111?\nAnswer: -1000011100000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1056107 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -7. Suppose -g*d + 30 = -0*d. Solve 0*l + 4*h = -4*l - 8, l + d = -5*h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + w - 2*w)*(-3*w + 0*w + 4*w) - 11*w**2 - 43*w + 43*w.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19411 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -772, -338, 874, 3260, 7216, 13138, 21422, 32464?\nAnswer: 46660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -34*x + 20. Let l(n) = 12*n - 7. Let q be 23\/115 + (0 - (-56)\/(-5)). Let w(f) = q*l(f) - 4*u(f). Give w(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 0.068 (c) 1\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 346332 by 1.\nAnswer: 346332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 1209.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1388 is divided by 257.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -0.5 (b) -15 (c) -1 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -134 + 301. What are the prime factors of c?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**2 - 63059*l + 504662. Determine f(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**2 + n**3 + n - 10*n + 3*n + 4*n - 3. Determine o(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*v + 52 = 0. Let n = 9 + -4. Suppose n*f - 13 = 4*f. What is the greatest common factor of v and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0)*(-5 + 1 + 2)*(-i + i + 2*i**2)*(0*i - 3*i - i) to the form f*i**2 + b*i**3 + r*i + u and give b.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -42*p - 1. Calculate g(-2).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15074893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -506 + 197. Calculate the remainder when 5 + 145\/(-25) + w\/(-5) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8, 24, 64, 140, 264?\n\"Answer: 2*k**3 + 2*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081.365 times -0.75?\nAnswer: -811.02375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (sqrt(72) - (0 + sqrt(72)*2 + sqrt(72)))) + (sqrt(72) + -1 + 4)**2 + -1 + -1 + (sqrt(72) - (sqrt(72) + -1)).\nAnswer: 54*sqrt(2) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1.5 (b) 0 (c) -2\/17 (d) -878 (e) -4 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f. Suppose -3*y = -10 - 14. Let d(c) = -c**3 + 11*c**2 - 21*c - 10. Let x be d(y). Let o(r) = -x*r + 20*r - 10*r - 1. What is -o(p) - 6*t(p)?\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*i + 8. Let s(q) = -10*q. Let j be s(-2). Calculate the greatest common divisor of i and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 16 - 18 - 9*m - 15*m.\nAnswer: -24*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 z, and 1 v when three letters picked without replacement from zssddvssws.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 40*w**2 - 389*w - 108. What is y(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00862417 rounded to 4 dps?\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20651514 divided by 39?\nAnswer: -529526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 1, -11, 0.3, -0.7?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3\/3 + 20956*n**2\/3 + 27952*n = 0. What is n?\nAnswer: -4, 0, 10482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 12 = -99*i + 101*i, -r = -5*i - 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70389 + 70491. Let v be 9\/(-12) - 1\/4. Is b smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111220451 (base 6) in base 16?\nAnswer: -1ee44f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**8\/8960 + g**7\/3360 + g**4\/4 + 6*g. Let a(q) be the third derivative of h(q). Suppose a(b) = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2546895 is divided by 197?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -170*i + 360. Let y be c(14). Round y to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -1. Let g be 5 - d*2\/(-6). Let z = -6 + g. What is the nearest to -0.1 in z, -4, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**6)*f*f*(f*f**(-1\/5)\/f)\/f*f*f*f**(-2\/5)\/f*f**(-2\/9))**(-49) assuming f is positive.\nAnswer: f**(10633\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 6 = 0, 3*i + i + 4 = -d. Let u be 3\/1 + 0\/1. Let m = u - 4. Sort m, 2, d.\nAnswer: m, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 83560 to the nearest one thousand.\nAnswer: 84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjmjmm. Give prob of picking 2 j.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2 + 3768*p - 1183152.\nAnswer: -3*(p - 628)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167110694.\nAnswer: 2, 83555347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*x + 4*j - 29, -4*j + 52 = 5*x. Suppose -3*z = -10 - x. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 926301 is divided by 28059?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49304 + 49318. Let l(t) = t**2 - t + 5. Let v be l(0). Sort -4, v, n in decreasing order.\nAnswer: n, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d + 5477318. Let f(g) = -2*g. Determine f(w(p)).\nAnswer: 10*p - 10954636","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -155*r**3 + 375*r. Let b(s) = -7*s**3 + 17*s. Suppose q - 7 = -5. Let d(a) = q*t(a) - 45*b(a). What is the second derivative of d(i) wrt i?\nAnswer: 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -12*i + 221. What is q(16)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13859*f + 5 + 13856*f - 5 - 11*f**2 to the form k*f**2 + b*f + w and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*a - 4*y - 38, -a + 23 = 2*y. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6, 2\/9, 3, 105, -1.9, -0.071?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 2. Suppose v*y = 4*d + 136, -111 - 19 = -4*y + d. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**6\/120 + 7*t**5\/60 - t**4\/4 - 5*t**2. Let h be z(6). Solve h = s - 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -1.0643.\nAnswer: -1.3643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i + 5*y + 10 = 82, 0*i - 2*i + 4*y + 0 = -6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*b**2 + 1723*b**2 - 3 + 377*b**2.\nAnswer: 2218*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 726997147102 and 0.017?\nAnswer: 726997147101.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4757212627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57786 is divided by 11555.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6, -5*h - 3*i + 3194 = -2910. What are the prime factors of h?\nAnswer: 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9427350 is divided by 1885470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 751 is divided by 51.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*d + 1709 = 0, 2*q - 686 = d + d. Let i be 98\/34 - 8\/q*-5. Solve i*z - 13 = 4*v, 5*z - 11 = 3*v + v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -1, -4, 3, 19, 196?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -113.\nAnswer: -24\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2298471630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 3492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 542112 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40*0.3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000416818 rounded to 5 decimal places?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 1. Let b be o(2). Let i = 695 + -995. Let d = 302 + i. Solve 0 = 2*k + b*j - 16, d*j - 1 = 3*k - 12 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73083 is divided by 7301?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2556121375 to the nearest integer?\nAnswer: 50558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3888?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f - 8. Let m be h(-7). Suppose 7*k - 3 = m*k. Suppose 0 = a - 4*d - 6, k*d + 23 = 3*a - 22. What is the greatest common divisor of 27 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 7*i + 1. Let h be (18\/(-10))\/((-6)\/20). Let n be c(h). Let f(d) = d**3 + 5*d**2 + 5. Let z be f(n). Let r(u) = -u + 3. What is r(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1206*c - 659*c = -1236*c - 92716 for c.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 549 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/5 (b) 1 (c) -1\/5 (d) 2 (e) -0.04267 (f) -2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 54, 234, 540, 978, 1554?\n\"Answer: z**3 + 57*z**2 + 2*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j - 3 = -i, -5*j = -2*i - 3. Suppose 8 - i = t. Suppose -3*c + 255 = t*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vfvnpjrr. Give prob of picking 1 n, 2 v, and 1 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.39735 - 0.379. What is s rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y**2 - 80*y**2 - 93*y**2 - 27*y**2 to the form o + m*y**2 + a*y and give m.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1687723, -3375367, -5063011, -6750655, -8438299, -10125943?\nAnswer: -11813587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 4*o**2 + 7*o - 5. Let l be j(5). What is the units digit of (24\/15 + 0)*l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k + 148*k - 261 = -11. Calculate the greatest common divisor of 2638 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 minus -205365998?\nAnswer: 205366014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224 and 448.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3d560 - -5?\nAnswer: 3d565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3250603, -3250599, -3250593, -3250585, -3250575?\n\"Answer: m**2 + m - 3250605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36060.06 - -36616. Let j = c - 550. Let q = j + -5.693. What is q rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5*h - 17 = 0, 6*h - 2*h - 10 = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 3:59 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2138, -4, 0.4 in descending order.\nAnswer: 2138, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3006734, -6013665, -9020598, -12027533?\n\"Answer: -n**2 - 3006928*n + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2421536*n**6 - 1062554*n**2 wrt n?\nAnswer: -290584320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, j: 4}. What is prob of sequence qq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.9 - 4.9. Which is the smallest value? (a) 0.5 (b) -5 (c) i (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, 2 in descending order.\nAnswer: 6, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -0.44509967\nAnswer: 0.0178039868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17108, -16712, -16158, -15368, -14264?\n\"Answer: 13*c**3 + c**2 + 302*c - 17424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxrdbydyayr. Give prob of sequence rdxa.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1639 (b) 0.08739 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9119*b - 8495*b + 104*b + 653*b.\nAnswer: -16857*b","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -8 - 4*l + 3 - 2. Let b be i(-5). Find the second derivative of 16*f**4 + 0*f - b*f**4 - 2*f wrt f.\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26771919 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*a - 1230 + 166 = -98*a + 376 for a.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, -4, 0, -50, 2, -128?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s - 43. Let q(f) = -5*f + 44. Let v(i) = -5*q(i) - 4*x(i). What is the derivative of v(u) wrt u?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011202200212 (base 3) to base 6\nAnswer: 21222422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*x = -3. Which is the closest to x? (a) -0.5 (b) 0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2359, 2370, 2381, 2392, 2403?\nAnswer: 2414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 408 - 405. Let u be (o - -19)*(17 - -1). Calculate the greatest common factor of u and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -11 - 17*a - 11 - 1. Let g(x) = -4*x. Let o(v) = 16*v + 45. Let k(w) = -4*g(w) + o(w). Let y(z) = -6*k(z) - 11*n(z). Differentiate y(u) wrt u.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 2*d + 830, -18 = t + 4*d - 458. Let f(j) = -831*j**2 + t*j**2 + 412*j**2. Let s(x) = 6*x + 5. Calculate f(s(v)).\nAnswer: 36*v**2 + 60*v + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 615*y + 7 - 7 + 1031*y.\nAnswer: 1646*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 98f53c (base 16) to base 10\nAnswer: 10024252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3253111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 165 = d - 5*j, 2*d + 4*j - 102 = 0. Let y = d + -27. Calculate the remainder when y is divided by 2\/(-4)*(-1 + -19).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7689 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 + (8 - (8 + -12) - (15 + -1)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/149 or -1\/2?\nAnswer: 6\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**7\/1155 + 7*n**6\/660 + 17*n**5\/330 + 17*n**4\/132 + 2*n**3\/11 + 30*n**2. Determine g, given that i(g) = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*d - 8*d - 10. Let l be d\/(-2)*3*(-6)\/9. Suppose 2*q - 21 + 8 = -3*b, q + l = 4*b. Solve -11 = -4*w - 31, q*j - 28 = 4*w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 9 = 3*n + 2*m, 1 = -3*n + 5*m. List the prime factors of ((-56)\/70)\/(n\/3645).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1805, 7301, 16543, 29597, 46529, 67405?\nAnswer: 92291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (sqrt(720) + sqrt(720) + sqrt(720)*1))\/sqrt(4).\nAnswer: -17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-60)\/59 - -1). Suppose -k + 7 = -r. Calculate the highest common divisor of 44 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 24834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*w + 66, -5*m - 37 = 2*w + 41. Let t = m - -23. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -217, -211, -205?\n\"Answer: 6*n - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (-152)\/20 - 2\/(-5). Solve -h*k = 20 - 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -p + 3*p - 22, 2*p = 3*h + 18. Let o(x) = p*x - 3 + x**2 - x**2 + x**2. Let w(j) = j**2 + 7 - 4*j**2 - 7*j + 0*j**2. Calculate 5*o(s) + 2*w(s).\nAnswer: -s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17789405\/801 + 22209. Which is greater: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -1\/6 (c) -4 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7637592619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2179 is divided by 552?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -7 + 3. Suppose -2*v - 8 = -x*o, -5*v = -0*o + 2*o - 8. Let h(f) = 13 + 4 + 10 + f**2 - 23 - 4*f. What is h(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, z: 6, y: 1, r: 2, s: 1, i: 1}. What is prob of picking 1 b and 1 s?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*c**2 + 100*c**3 - 66 - 13*c**3 - 14*c**2 wrt c?\nAnswer: 261*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**4 - 4 + 4 + (0*d**2 + 0*d**2 + 2*d**2)*(d**2 - 3*d**2 + d**2) - d**3 - d**4 + d**3 + 3*d**4 - 2*d**4 - 4*d**4.\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = -24*k - 6 - 83 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*(s\/(s\/(((s*s**36)\/s)\/s*s*s))*s)\/s*s*s))**14*(s**(-1)*s)\/(s\/s**(-23\/4)) assuming s is positive.\nAnswer: s**(-2155\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1363 + -742. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50040 or -950742\/19?\nAnswer: -950742\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 14*s - 838. Is s a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1919607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8146*0.0288.\nAnswer: 234.6048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -22347 divided by -191\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/43))**(-1\/8)*(y**11)**(1\/19) assuming y is positive.\nAnswer: y**(1873\/3268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2*1*(-5)\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.91 + -15.71. What is h rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125148 divided by -1.\nAnswer: -125148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80102*h*u**2 + 78664*h*u + 2*h - 8*u wrt u?\nAnswer: 160204*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 4*r - 0*r. Let h be 4\/r + 52\/30. Let p be ((-15)\/(765\/136))\/(4 + 0). Which is the closest to 2? (a) p (b) h (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**(-10)*m**(2\/9)\/m**(-7))\/(m\/(m*m**4*m*m*m*m)*m*(m*m**6)\/m*m)**(-6\/13) assuming m is positive.\nAnswer: m**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bybqyyyzby. Give prob of picking 1 q, 1 y, and 1 b.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 11*n + 5*t = -7, -5*n = -3*t - 1. Let v = 0 + 2. What is the nearest to v in -2, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 3\/16, -2\/3, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12482*d + 652 + 36482*d - 652 + 12127*d.\nAnswer: 36127*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a (base 11) to base 9.\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 9:57 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 7*l - 8. Let z be b(8). Let r = 0 + z. Suppose r = 2*i + 3*f - 1 - 130, f - 125 = -2*i. What is i rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3000 = -469*q - 3466 - 9383 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(-5))\/h**(-3))\/(h**(-6\/5)*(h\/(((h*h\/(h*h\/(h\/h**4*h)*h)*h)\/h*h)\/h))\/h*h))**(-43) assuming h is positive.\nAnswer: h**(-1333\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1327329976.\nAnswer: 2, 7, 31, 764591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-8 + (7 - 4)) + -11. Let v(o) = -5*o + 5. Let q(n) = n - 1. Calculate r*q(p) - v(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -1 - (-1 - 2). Let l(y) = 3*y**2 + 14*y - 6. Let h be l(-5). Suppose -r + 41 = 3*c + 35, 5*c = -3*r + 10. Sort r, 5, h, n.\nAnswer: h, r, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16138259453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + -7 + (2 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**4\/12 - 16*z + 44. Let d(v) be the first derivative of y(v). Let f(u) = -29*u. What is f(d(p))?\nAnswer: -29*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -58.927.\nAnswer: -29.4635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37808882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/51*(63\/(-6))\/7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 95279069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/32759 or -160?\nAnswer: -2\/32759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 5*f - 2. Give u(-12).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/423340 and 12\/55?\nAnswer: 4656740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + (sqrt(99) - (1 + sqrt(99))) + -3)*-3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -71*z**3 - 18*z**2 - 23*z + 31. Give r(-2).\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3916 is divided by 3114?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00051153175 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-6)*(-3857)\/7714*(-30)\/(-14).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -334, -787, -1434, -2275?\nAnswer: -3310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*s + 2, 0 = 3*o - 2*s. Let a = -8 - o. Let n be 4\/a - (-44)\/12. Solve -d = -n*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/12 and 70\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/11085656 and -19\/27714140.\nAnswer: 55428280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*a + a - 3, -5*a + 4*x = -42. Suppose a*h = h + 25. Suppose 0 = -5*j, -b + j = h*j - 4. Solve b*p = -p - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000241004 to seven dps.\nAnswer: -0.0000241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-27)*3\/(-2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -10. Solve 3*t - 4 = -s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1785 divided by -595.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11033123133 (base 4) to base 14.\nAnswer: 27a9b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/2))**(-34)*((n*n**1)\/n)**(-11\/2))**(1\/9) assuming n is positive.\nAnswer: n**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3958, 7858, 11758, 15658, 19558?\nAnswer: 23458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14869937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4 = 2*b + 123, -3*b + 84 = 3*a. Let d = 29 - a. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 - 10 = 4*l, 2*d = 2*l + 20. Suppose -v + 0 = -d. What is the remainder when 38 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (13 - (-15 - -2))\/(2\/566).\nAnswer: 2, 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x - 17*x + 2*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 5*i**2 - 2*i + 7. Let d be m(4). Suppose 0 = -4*a + 118 - 326. Let s = a + 57. What is the greatest common divisor of d and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6048)\/240*((-220)\/6)\/22?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 - 285\/25 - -3. Suppose -3*l + 2 = 8. Which is the nearest to -0.1? (a) t (b) l (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/((-2728)\/124))\/((-1)\/(-44))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 + -64580?\nAnswer: -64560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -4207*n**4\/24 - 65*n**3\/2 + 4*n**2 + 2*n - 117. What is the derivative of b(j) wrt j?\nAnswer: -4207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 881.9857 millennia to years.\nAnswer: 881985.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6741?\nAnswer: 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -11289*c - 1598. Is o(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*g**3 - 54096*g**2 + 14656*g - 1.\nAnswer: -48*g - 108192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -916*v**2 - 2 + 9385*v - 18779*v + 9394*v to f*v + j*v**2 + o and give j.\nAnswer: -916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 314418 and 198302?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 145 - 153, 5*p - 4*v = 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 6 = 0, -2*x = 2*k + k - 6. Let u(t) = t + t + x*t - 3*t. Let l(f) = -3*f**2. Give l(u(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 125*p**2. Let z(o) = -2*o + 6. Let i(l) = l**2 + 7*l - 21. Let d(u) = 8*i(u) + 28*z(u). Calculate d(k(r)).\nAnswer: 125000*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34 - -624275?\nAnswer: 624331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.054057 - 950.44827.\nAnswer: -950.502327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzrn when four letters picked without replacement from {j: 8, z: 1, q: 1, n: 2, r: 3, g: 5}.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 4*j + 1. Let w(n) = -n. Let a(l) = -i(l) + 3*w(l). Let u = 8 + -5. Suppose 2*r - 2*z = u*z - 16, -6 = r - 2*z. Calculate a(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i - 4*i**2 + 4*i**2 + 91 - 14*i**3 - 14*i**3 + 42 to the form h + a*i**2 + u*i + q*i**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.7 + 15. Let u = -22315 + 22307. What is the nearest to u in 2, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, l: 2, n: 2, f: 1, z: 2, g: 5}. Give prob of sequence dzgl.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 76.2 and -0.1.\nAnswer: -7.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7*l**2 - 153*l - 19. Let r be n(22). Solve -4*v = -4*h, -4*v = -r*h + v - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585 greater than 59428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a - 2. Let k be q(-3). Let p(t) = 10*t + 5. Let b be p(k). Let f = b + -30. Calculate the remainder when f is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 n when two letters picked without replacement from jeenjj?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y - 3*y + 2*y**2 + (0 + 3 - 1)*(-2*y**2 + 4*y**2 + 0*y**2) - 4*y**2 - y**2 + 3*y**2 - 124*y**2 - 977 + 977.\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5227*g - 4765 = -801*g + 290607 for g.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1005*i + 328*i = -13540 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - a + 1801 - 34007, 0 = 5*u + 4*a - 32201. What are the prime factors of u?\nAnswer: 3, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3124 is divided by 696.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence irv when three letters picked without replacement from iiribirhhv.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 100 and 49513922.12.\nAnswer: 49514022.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w - 3. Let u be p(2). Suppose -3*i + u = -0*i, -5*z + i + 2 = 0. Which is greater: z or 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 348 divide 45413165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19338 rounded to 3 decimal places?\nAnswer: -0.193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (41\/20 - 2)*-63 and (-2)\/10 - (7 - (-106)\/(-8)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p**3 + 8*p**2 + 8. Suppose 16*a + 4 = 18*a. Let t(n) = 3080 + 5*n**a - 2*n**3 - n**3 - 3075. What is -5*l(b) + 8*t(b)?\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 12 - (2 + 68\/(-20))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -1. Let g(o) be the second derivative of o**4\/12 + o**3\/3 - 3*o**2 - 2*o. Let c be 11 + ((-1944)\/9)\/18. Calculate c*g(v) + 5*i(v).\nAnswer: -v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2295108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 94571, 7 in decreasing order.\nAnswer: 94571, 7, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 10074 = 4*n - 5*k + 3*k, 5*n + 2*k - 12579 = 0. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53*x**5 - 432057*x**2 - 133281763*x?\nAnswer: 1060*x**3 - 864114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11937155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326*s - 30032*s**2 + 651*s - 325*s.\nAnswer: -30032*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + j + 2*j**2)*(5*j - 2*j - 2*j + (-3 - 1 + 2)*(3*j - 3*j - 2*j) - 2*j - 4 + 4 + 0 + 2*j + 0 + (j + 5*j + j)*(-5 - 9 + 3)).\nAnswer: -144*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -27, -1\/4, -5, 7, 242?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, d: 1, c: 1, m: 2, x: 2, s: 2}. What is prob of sequence xx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 314311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/15))**(4\/27) assuming w is positive.\nAnswer: w**(-4\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.4 - -2.1. Put t, -0.1, -0.2 in descending order.\nAnswer: -0.1, -0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.21 or 0.0004?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (15\/120*-1)\/(3\/4)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/126 - (-258)\/(-602)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 972.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 8*d - 10. Let c be t(-6). Put -5, 0, c, 4 in descending order.\nAnswer: 4, c, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 200246735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.98 - 14.78. Let w = 2.1 - 2. What is the second biggest value in -2, s, 4, w?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 189309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 + 33 = 11*h. Sort 8, -1, h in decreasing order.\nAnswer: 8, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*l**4\/9 - 250354*l**3\/9 + 193108*l**2\/3 - 160472*l\/9 + 11888\/9 = 0 for l.\nAnswer: -743, 2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z - 92. Let w be c(8). Let s be w\/(-9) - (1 - 3 - 2). Calculate the highest common divisor of s and 296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.592 + -0.9. Let q = -0.508 - f. Which is the second smallest value? (a) -2\/7 (b) 21 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -33. Let c(j) = 3*j + 10. Let m be c(0). Which is smaller: o or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 2*a + 1. Let m be c(3). Let s be (m\/4)\/(15\/(-90)). Let n(j) be the first derivative of -j**3\/3 + 3*j**2 - 3*j + 2. Calculate n(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**4 + 189*q**2 + 182*q**2 + 35*q + 3*q**4 - 366*q**2 - q**4 to the form u*q**2 + b*q + n*q**4 + o + t*q**3 and give b.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + i + 14 = 0, 21 = 70*f - 73*f - 3*i for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.116 to three dps.\nAnswer: 0.116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - (-12 + 14)) + -2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -46*k**2. Let a(r) = 16679475*r**2. Give n(a(y)).\nAnswer: -12797424768678750*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29165 is divided by 503.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1258533 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 345 = -v. Let y = -4487\/13 + v. Let q be (3\/(-17))\/(21\/(-14)). Which is the second biggest value? (a) q (b) y (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2097 - 2094. Let c(r) be the first derivative of 16\/5*r**5 + 4*r**l + 0*r**4 - 3 + 0*r + 0*r**2. Find the third derivative of c(g) wrt g.\nAnswer: 384*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3291481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 133, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4ef (base 16) to base 13\nAnswer: -762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -545446 by 301.\nAnswer: -545446\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1412, -5644, -12698, -22574, -35272, -50792?\nAnswer: -69134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 - 3)*(0*n + 0*n + n) + (-2*n + 0*n + 4*n)*(-1 - 5 - 1) to v*n + b and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -4, -0.04, 5, -2\/377?\nAnswer: -2\/377","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q - 3*q - 3*q)*(22 + 3*q - 22) - q + 0 + 0 - 2*q**2 - 1 to f + n*q**2 + o*q and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/19)\/p**18)\/(p\/(p\/(p**(3\/5)\/p)))**(14\/9) assuming p is positive.\nAnswer: p**(-14768\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34204 is divided by 3109.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 11. Suppose -2*t - 5*a + 8 = -18, m*a - 12 = 0. Let y be t*1\/(-4)*96. Round y to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1777 divide 174170878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 69517*u - 69526. Calculate c(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*o + 33*o. Sort -4, o, 99 in ascending order.\nAnswer: -4, o, 99","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = g - 36. Calculate the remainder when 33 is divided by 620\/36 - (-2)\/g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, q: 1, l: 2, e: 3, z: 1}. Give prob of picking 1 z and 2 w.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(1697 - 5106 + 1702 + 1707 + 23707*q**2).\nAnswer: 47414*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a2440 (base 12) in base 11?\nAnswer: 1114575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*u = 62*u + 60 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -31*b**2. Let j(v) = -7127*v**2. Determine j(w(q)).\nAnswer: -6849047*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -25*q**4\/24 + 25*q**3\/6 + 5*q**2. Let x be u(6). Is 22\/11 - (x + 1) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (11 - (-25)\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.424 and 83?\nAnswer: 82.576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**6*t*t)\/(t\/(((((t\/(t*t**(-2\/7)))\/t*t)\/t)\/t*t*t)\/t)))**(-15) assuming t is positive.\nAnswer: t**(495\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 717 - 695. Suppose -52 = -10*a - g. Solve a = -4*l + l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 + 35*b**3 - 65*b**2 - 15*b + 90.\nAnswer: -5*(b - 3)**2*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*z + z + 2*z)*(-1 + 0 - 1) + (0 - 2*z + 0)*(3 - 2 - 3) + 2*z - z + 0*z + z - 3*z + z + 2*z - 4 + 4)*(-6*z**2 + 5*z**2 + 4*z**2).\nAnswer: 30*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6255)\/882)\/(-5) - (-2380)\/(-560)*6\/17?\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*d + 6 - 3, 22 = -2*c - 4*d. Let f(b) = -101*b + 2. Is f(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5.5 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3221 + 3744 = 1237*a - 7879 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 129418933 to the power of 1\/2, to the nearest integer?\nAnswer: 11376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 10*r**2 + 9*r + 2. Let w be a(9). Let c(k) be the first derivative of 3 + 1\/2*k**2 + w*k. Differentiate c(m) wrt m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, t: 1, d: 1}. What is prob of sequence at?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 87391.35 micrometers?\nAnswer: 0.00008739135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 19*x**2 - 2*x - 7. Is u(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000111100011101110011 (base 2) to base 10.\nAnswer: 2344819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4 - (-4)\/(-8). Suppose 4*x - 16 = -0. Suppose x = 12*p - 10*p. Solve u = -5*l + p*l + 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v + 3*v - 5*v + (-2 + 2 + 2*v)*(0 - 1 - 1) + (-3 - 1 + 2)*(-2 + 2 + 2*v) - 1 - 2*v + 1 - 4*v - v + 19*v in the form s*v + g and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2158637cm to kilometers.\nAnswer: 0.000002158637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -15211 - 15206 + 30417 - 9001*g as k*g + j and give k.\nAnswer: -9001","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2004369.\nAnswer: 3, 89, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 0)*(-58*r + 10*r + 0*r)*(1 - 1 - 1).\nAnswer: -144*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*2\/(3\/6*-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.9999926 + -24. Round n to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-35) + (-38)\/80 + 1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 4*c = 5*j - 3, 0 = 2*c - 6. Let l = -11 + 16. Suppose -3*a = x - 70 - j, -l*x + a = -395. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - 277*u - 101*u + 378*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 406620 and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 6:13 AM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 19722 divided by 3\nAnswer: 6574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**2 - h. Let i be f(-1). Let m be (i + (-18)\/(-5))*-1. Let k be (-6)\/(-16) + (-2)\/8. Which is the biggest value? (a) k (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 9:35 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/54 and -35\/48744.\nAnswer: 146232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11044.1 and -0.2.\nAnswer: -2208.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45253693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -294 - 1581*o**2 + 516 - 43 - 1048 - 988 with respect to o.\nAnswer: -3162*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1425901 + 597459.8574099. Let v = h - 597431.1693. Let c = v - -0.0693. What is c rounded to zero decimal places?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10\/47 + -101\/188. Let g = 2.75 + 61.75. Let p = 65 - g. Which is the fourth smallest value? (a) i (b) 0 (c) p (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 8 (b) 4 (c) 0.5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/105 - (-60)\/2016 - (-44604)\/32. Calculate the highest common factor of o and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/98 and -6\/539?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 7*s - 15 = 0, m + 5*s = -7 + 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -5*m + 4*t - 24, 21 = -m + 4*t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f + 2*f**2 + 3*f - 4 - 3*f**2. Let w(h) = h**3 - 4*h**2 + 4*h - 3. Let m be w(2). Let a(s) = -5*s - 12. Let r be a(m). Calculate v(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d**3 - 2*d**3 - d**3)*((-2*d + 5*d - 4*d)*(3 + 1 - 5) - d + 0*d - d - 4*d + 3*d - 5*d) to r*d**4 + n + h*d**3 + g*d**2 + t*d and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 417, 1055, 2783, 6147, 11693?\nAnswer: 19967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 60658*n + 53. Let w be y(17). Suppose 5*f = -5*m + 4999990, 2*m + f - w = 968759. What is m rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 758716 and 26934418.\nAnswer: 53868836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/28)*q*q**33\/q)\/(q**(-2\/19))**(2\/3) assuming q is positive.\nAnswer: q**(52723\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001046555155 to six decimal places.\nAnswer: -0.001047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 707384 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*l**2 - l**3 + 25*l**2 - 2*l + 7*l**2 to the form b + u*l**2 + c*l**3 + o*l and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*j + 80*j = 112 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1150955983.\nAnswer: 1150955983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.004 (b) -0.03 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4)\/k**(-5\/2))\/(k**(1\/3)\/k)**33 assuming k is positive.\nAnswer: k**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, -1\/12, 1\/2.\nAnswer: -1\/12, 1\/2, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2325245 (b) -3\/8 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - w**2 - 1. Let j = -4 + 6. Let o(v) = -5*v**3 - 2*v**2 - 6. Let x(t) = j*u(t) - o(t). What is the derivative of x(r) wrt r?\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -14 - 15 - 20 - -4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 13) to base 12.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*x = 10516, -5*v - 5*x + 0*x = -13125. Suppose 3*j - v = -482. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 4984.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**3 + 8*s**2 + 6*s - 1. Let t(l) = -2*l**3 - 4*l**2 - 3*l + 1. Let u(y) = 3*m(y) + 7*t(y). Calculate the remainder when 121 is divided by u(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*h + 26*h = -1488 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 726834 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 11, -668674 in descending order.\nAnswer: 11, 2, -668674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24649 is divided by 99?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 14241*o**2 - 1638*o - 1528*o + 3165*o in the form d + s*o**2 + r*o and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-868)\/(-6)*49542\/(-57799)?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 42768\/5280*30\/(-108)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 - g**4 + g**4 + 4*g**4 - 3*g + 3*g - g**4 - 4*g**4 + 4*g**4 + 0*g**4 + 3*g**4 - 2*g**4 + (3*g**2 - 2*g**2 - 2*g**2)*(-4*g**2 + 3*g**2 + 3*g**2).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 35*-0.017\nAnswer: -0.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9741217 divided by -5.\nAnswer: 9741217\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2 - 7*x + 6*x + 5*x**3 - x**2 + 1 + 2. What is the units digit of r(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-64)\/10)\/(7\/(-70)). Suppose 3*g - 2*x = 83, -2*g - 3*x = -0*g - n. Calculate the remainder when g is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1115 + 437164*s - 2*s**2 - 654 - 437164*s.\nAnswer: -2*s**2 - 1769","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 152*p**5\/5 + 377*p**2\/2 + p + 113. Find the second derivative of j(f) wrt f.\nAnswer: 1824*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 95 - 97 = 3*f, -7*x - 35 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + v + v - v + v + (-2*v + 6*v - 2*v)*(-2 + 0 + 0) + 0*v - v + 6*v + (-1 + 3 - 1)*(-4 + 5*v + 4).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -312*w**5 - 2378*w wrt w.\nAnswer: -6240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 0 - ((9 - 7) + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2 - -1)*(-24 + 21))\/((-7)\/(-21)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*l**3*w**2 + 66*l**3 - 2*w wrt w?\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -3*o + 3*q - 24, -5*o + 3 = -3*q. Suppose 4*y - 3*v - 27 = 21, 57 = 3*y + o*v. What are the prime factors of ((-1)\/(-1))\/(3\/y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -376 smaller than -392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1508 a factor of 113080631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.054 - -0.198449.\nAnswer: 0.252449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**6\/45 + 13*v**5\/30 - 55*v**4\/18 + 25*v**3\/3 - v + 5. Suppose n(m) = 0. Calculate m.\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**3\/3 - 2*w**2 + w. Let h(j) = -2*j**2 + j. Let f be h(-1). Determine v(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1560 and 22.\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20434, -81711, -183848, -326851, -510726, -735479, -1001116, -1307643?\n\"Answer: -f**3 - 20424*f**2 + 2*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from naayayyy. Give prob of picking 1 a and 1 y.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.2, -56, -5\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 7. Let u be s(-5). Suppose -u*l = -6, 7 = 5*i + 3*l - 2. Suppose 2*b = -i*b - 0*b. Solve b*d = 2*d + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 2*v, -v + 49 - 25 - 24 = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -186 - -50. Let w = k - -250. Suppose 48 + w = 6*s. Is s a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-15) + (-41)\/(-5). Let l = 10 - g. Suppose -42 - 22 = -l*k. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 226 by 2.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(8)\/(sqrt(100)*6)*6)*-5.\nAnswer: -15 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n + 2*d = -52*n + 41*n + 2, 2*n - 2*d - 3 = 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1))\/(10\/(-80)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1392388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(320)*-1)**2 + (-2*sqrt(320))**2*1.\nAnswer: 48*sqrt(5) + 1609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**11)\/j*(j**(-10)\/j)\/j*(j*j\/(j\/(j\/j**(10\/3)))*j)\/j**6)**(-1\/19) assuming j is positive.\nAnswer: j**(88\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = f - 3*f, 5*g = f + 9. Which is the second biggest value? (a) f (b) 4 (c) 3 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a week?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -28*w - 2. Let b be q(-2). Suppose -86 - b = -4*r. Suppose 5*l = 41 + 49. Calculate the remainder when r is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.1 - 3. Let t = -40 - -45.5. Let f = t - 3.5. What is the closest to f in -1\/8, w, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*y = -15*y + 32*y - 324 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*k**4\/3 + 5*k**3 + 290*k**2\/3 + 80*k = 0. What is k?\nAnswer: -2, -1, 0, 24\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 10. Which is the third biggest value? (a) g (b) 0 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000032104 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6*(-9)\/6)\/(114\/76))\/(45\/(-240)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.216 - -3.216. Which is the nearest to 0? (a) f (b) -0.5 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/6 + 3\/18. Factor 2*s**2 - s**5 - 9*s**4 - 2*s**5 + 10*s**2 + 0*s**u.\nAnswer: -3*s**2*(s - 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gv when two letters picked without replacement from gvvgdvgvgd?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, b: 1}. Give prob of sequence bs.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-43 - (1 - 15)) + 2 + -4?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence on when two letters picked without replacement from {o: 1, n: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**4 - 7*m**4 - m**3 + m**2 + 2*m**3 + 3 - 3*m**3 to b*m + z + s*m**3 + g*m**4 + w*m**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4141*d - 4163*d - 286 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b + 1126*b**2 + 10 - 557*b**2 - 575*b**2 - 4*b**3 + 6*b**3 + 0*b**3 as t*b**2 + p*b + o + j*b**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + d + 2*d. Let c(p) = -64*p - 4 + 60*p + 4. Give c(h(q)).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0033112 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v - 70 = -220. Suppose -10 = 5*o - 10*o. Calculate the greatest common factor of v and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 20*q + 157. What is the least common multiple of 250 and b(-26)?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.475*185\nAnswer: -87.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 81 = 79. Solve -26 = 6*f - v for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*t**2 - 8*t**2 + t**2 - 14*t**2.\nAnswer: -38*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 126*k**3 - 32 + 128*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9369613?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1854847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 222*x**2 - 1168*x**2 + 431*x**2 - 2162*x**3 - 34*x**2 wrt x.\nAnswer: -12972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 700010 divided by 140002.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l. Let n(x) = 5*x - 6. Suppose -124 = -6*d - 94. Let i(g) = -6*g + 5. Let p(k) = d*n(k) + 6*i(k). Calculate p(a(f)).\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025506073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 38\/(-30) - (-21 + (-1020)\/(-50))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -464 + 459. Which is the third biggest value? (a) 0.2 (b) 1\/3 (c) j (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from dzzzzzzddz?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*h - 893 = 38*h + 68*h for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 349844497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.602 + 4.544. What is the biggest value in v, 4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 6*x**2 + 2*x - 8. Let n be k(6). Let i be 42\/12 + 2\/n. Solve -v = -i*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 4*g - 7*g - 13*g**2 + 3. Let z(h) = -14*h**2 - 3*h + 4. Let j(y) = 4*f(y) - 3*z(y). Calculate j(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(1 - 2 - -11). Let m = 12 + y. Solve 4*o = -m*h - 8, -3 = -4*h - 3*o - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -308, -619, -932, -1247?\n\"Answer: -t**2 - 308*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20*201\/6*-1. Let j = 969 + r. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 36 + 26*o - 36 - 8*o. Let q(l) = -3*l - l + 5*l. Give q(s(u)).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*w - 2 = 0. Suppose c + 10 = -w. Is (-122)\/(-8) + 3\/c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 2 - 4)\/(-2). Suppose -h - f = -71, 0*f = -d*h - 3*f + 146. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 8:07 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127 - -131. Suppose n*w = 5*u + 104, 0 = -7*w + 6*w - 2*u + 13. Is (-25811)\/(-21) + (-2)\/w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 + 4077*o**4 + 89*o + 11*o + 340*o + 212*o wrt o.\nAnswer: 48924*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-39) - 4\/(-26). Find the first derivative of -1 + 9 + a*g**3 + 0*g**3 - 3*g**3 wrt g.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(19)*2 + 1) - sqrt(475)*2*3)**2.\nAnswer: -56*sqrt(19) + 14897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 24*w - 38. What are the prime factors of g(13)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {p: 1, u: 4, g: 4, s: 2, r: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -545840416 divided by 6202732\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 11:52 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 x when two letters picked without replacement from {l: 2, t: 4, x: 1, o: 10, i: 1}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**2 - 41*s - 144. Suppose 0 = 2*h + 8, -h + 3 + 2 = f. Calculate the remainder when a(-4) is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - -192. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 9:24 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 365*c - 14236. Give s(39).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54437487 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20\/23 - -214\/299. Which is the nearest to 0.1? (a) 4\/3 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**6\/285 - m**5\/190 + m**4\/114 + m**3\/57 + 8*m. Find j such that o(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5097 - 5100 + 13061*h + 10197 to the form c*h + t and give c.\nAnswer: 13061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 21*m = 23*m - 16, 4 = 2*m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * -218794.\nAnswer: 6563.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -2. Suppose 65 = -s - i*s. Let o = -7 - s. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 3, g: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17212 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 17, j: 2}. What is prob of sequence mmmj?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 - 25. Let o(u) = 6*u - 1. Let v(l) = 7*l - 2. What is s*v(y) + 4*o(y)?\nAnswer: 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*o + 6. Which is the fourth biggest value? (a) 2\/3 (b) -0.1 (c) o (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/13, -3\/4, -55, -2, 4, 4\/265?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, e: 3, d: 4}. Give prob of picking 2 d and 1 n.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 87925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 65.17235 millennia?\nAnswer: 6517.235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0*(-2)\/8)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 51171*y + 8255*y + 3.\nAnswer: -42916*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4688690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*b - x, -5*b - 4*x + 25 = x for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 3.4. Let h = k - 1.1. Which is the second biggest value? (a) 0 (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.8 - -31?\nAnswer: -67.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 544 or 547?\nAnswer: 547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/12 and -47\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 3*x + 6. Let t be v(5). Let l = -115 + 112. Which is bigger: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23005?\nAnswer: 5, 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -468, -461, -450, -435, -416?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1887, -5, -47, -2, 1 in decreasing order.\nAnswer: 1, -2, -5, -47, -1887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-17436))\/(6\/(-4)). Let b = -132227\/11624 - u. What is the common denominator of 65\/8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 22. Let c = r + 23. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**3*n**3 - f**3*t + f**3 - 10686526*f*n**3*t**2 - 2*f*n*t**2 + 17021*f*t**2 - 2*f - 2*n**2*t**2 + 2*t wrt n?\nAnswer: -18*f**3 - 64119156*f*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 4 - -4) + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/29, -0.2, -2\/3, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -183, -107, -17, 93, 229, 397, 603, 853?\n\"Answer: n**3 + n**2 + 66*n - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 11. Let i be k(-5). Solve -8*t = -0*t + i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d + 8. Let c be o(-6). Let w be 1 + 11\/(-5) + 5\/25. Sort 3, w, c in descending order.\nAnswer: 3, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 52*o**2 + 3*o + 9. Let v(u) = 18*u**2 + u + 3. Give -4*n(c) + 11*v(c).\nAnswer: -10*c**2 - c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = i + h, 2*h + 1 = i - 4. Suppose 0 = -c - 0*c + 4. Let n = c + -2. Sort n, i, -1 in increasing order.\nAnswer: i, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-20)*2*(-135)\/(-162)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*o + o**2 + 5*o - 3*o**2 in the form g*o + j + l*o**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 47 = -4*b - b, 4*b - 44 = -2*r. Calculate the greatest common factor of 48 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r + 30. Let q be c(-15). Suppose q = 4*b + 2*i - 458, -214 = b - 3*b + 2*i. What is the common denominator of 28\/b + (-498)\/40 and -59\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*s - 4*s + 0*s)*(-s**2 + 4*s - 4*s) - 3 + 3 + 2*s**3 + 11*s**3 - 205*s + 205*s)*(-1 - 1 - 4) to the form i*s**3 + j + x*s**2 + r*s and give i.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*t + 104100 - 723803 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 9*g + g + 4*g = -20, -2 = -3*g + g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 13, i: 6}. What is prob of picking 2 i?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 237548294?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 12:38 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**8\/840 - c**6\/150 + c**4\/60 + 4*c**2. Let b(f) = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054 (base 11) in base 8?\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4190*f**2 - 2096*f**2 - 2093*f**2. Let z(r) = -821*r**2. Determine u(z(v)).\nAnswer: 674041*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 AM and 1:48 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 15600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*h**3*n**3 - 125*h**3*n**2 + 32*h**3*n - h**2*n**3 + 4*h*n**2 + 62*n**3 wrt n?\nAnswer: 354*h**3 - 6*h**2 + 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.816 or -1\/2?\nAnswer: 0.816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 1 = 11, -108 = -3*w + 3*y. Let b(z) = 6*z**2 - z + 3. Let m be b(4). Let x = m - w. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10045, -40095, -90149, -160207, -250269, -360335?\n\"Answer: -10002*l**2 - 44*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = r + 18, 6*r = 4*m + r - 3. Let p be (m\/6)\/((-30)\/(-12) - 2). Let y = 2 + -2. Sort p, -3, y.\nAnswer: -3, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 504\/6825 + ((-13)\/(-26))\/((-26)\/8).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -12*o - 54. Let b be v(-5). Let s be 2 + 68\/b + 1\/(-3). Calculate the highest common factor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -5. Suppose 0 = -2*b + 3*u + 2*u - 39, -s*b - 42 = -2*u. Is 13 a factor of (78\/9)\/((-8)\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3201 - -6?\nAnswer: 3210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w + 20. Give n(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v - 6. Let h be o(3). Suppose 4*q - 6*q = 116. Let j = h - q. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*i = 3*b + 25, 1965*b + 5 = 2*i + 1963*b + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262 = w - 4*j, 167*j - 1090 = -4*w + 169*j. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/2 - 412867967*j - 170459958174713089\/2.\nAnswer: -(j + 412867967)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 3*l - 2. Let f be u(-2). Suppose f*g - 96 = -3*g. Suppose -g = -3*j + 10. What is the lowest common multiple of 6 and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 5:54 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (3 + -4 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, n: 6, y: 3}. What is prob of picking 1 y and 1 z?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -27. What is the greatest common divisor of x and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2639 + -2687. Which is smaller: -1\/8 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + g - 2. Let c be d(-3). Let z = -47 + c. Let q = z + 551\/9. Put 4\/3, q, 0.3 in decreasing order.\nAnswer: 4\/3, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 4*j**2 + j + 1. Let p be o(3). Let t = p + 9. Solve 4*g - 4*c - 28 = -0*g, -5*g + t*c + 33 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40486.\nAnswer: 2, 31, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 38617, 38639, 38651, 38647, 38621, 38567, 38479, 38351?\n\"Answer: -q**3 + q**2 + 26*q + 38591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*s - 6 + 2, 1 = -s - 4*k. Let g be ((136\/(-28))\/((-3)\/21))\/s. Put g, 4, -1, -4 in decreasing order.\nAnswer: 4, -1, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-5)*(-4)\/(-4))\/(-10).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 545 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(19*9\/29754*-3).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p - 9*p - 8*p as j*p + z and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 28, 46147, -5 in decreasing order.\nAnswer: 46147, 28, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01680672 to five decimal places.\nAnswer: -0.01681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 204130649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(4\/((-8)\/(-2))). Sort 39, t, 0.\nAnswer: t, 0, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rjj when three letters picked without replacement from wuwrwjjwjjrwrwr?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 13. Let r be (-6 + 11 - 0) + -8. Sort r, v, -2 in descending order.\nAnswer: v, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lu when two letters picked without replacement from {l: 5, u: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1\/11, 9.9, 2\/3, -0.5, 0.3 in ascending order.\nAnswer: -0.5, 1\/11, 0.1, 0.3, 2\/3, 9.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 9.021\nAnswer: -6.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -42363 + 42363 - 3*t. Let b(n) = -539*n**2. What is u(b(w))?\nAnswer: 1617*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.3, 0.2, -5485, 188.\nAnswer: -5485, -4.3, 0.2, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88\/(-128)*8)\/(11\/(-154)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 o when four letters picked without replacement from vdqqvnvdqdvqqovqoo.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -6*r + 5 - 63 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8877784457?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11\/11)\/(1\/5). Suppose 0 = 4*f + k - 13. Factor -1\/2 - 3\/2*b**f + 2*b.\nAnswer: -(b - 1)*(3*b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 14 = 2*a, 2*m + 17 + 9 = 3*a. Calculate the lowest common multiple of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1341984257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 972 is divided by 195.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-25) - (-56)\/(-10). Suppose 4*f + 9 - 29 = 0. Suppose 3*w - f = 1. Sort t, w, -4 in descending order.\nAnswer: w, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/40*4280\/642*9\/(-7)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 9, 2\/17, -2\/7, -750, -5 in decreasing order.\nAnswer: 9, 2\/17, -2\/7, -0.5, -5, -750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1962 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 3:54 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.6, -3266, -9 in ascending order.\nAnswer: -3266, -9, -3, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.568 + 77689699645.\nAnswer: 77689699645.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p + 1. Let z(t) = t - 1. What is c(y) + 5*z(y)?\nAnswer: 12*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -24. Let k be i*4\/(-12)*-5. Let x = -31 + 31.2. Which is the second biggest value? (a) x (b) -2\/11 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from ikmmmgp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/(x\/(x\/(x**(-2\/7)*x)*x))))**48\/(x**(-1\/9)*x*x**(-4)\/x))**(-2\/17) assuming x is positive.\nAnswer: x**(7258\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2, -11, -24, -37, -50?\n\"Answer: -13*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9943.47 minutes?\nAnswer: 596608200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1285*x - 427087 + 427087 to the form h*x + s and give h.\nAnswer: -1285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1260688?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13657871 to three decimal places.\nAnswer: -0.137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/2)*m**(5\/3)\/m*(m*(m\/m**(-2\/5)*m*m)\/m)**(-2\/7))\/(m**(-2\/5)*m**(1\/4)*m)**22 assuming m is positive.\nAnswer: m**(-1838\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g**5 - 8979*g**4 - 221108*g**3 - 549866*g**2 + 110278*g + 32637 = 0 for g.\nAnswer: -473, -23, -3, -1\/6, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*b = -3, 0 = -f + b + 1 - 6. Let t = -2 - f. Let z be t\/((-2)\/(5*2)). Solve -5*o + z + 15 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -288 - -462. Let g = -413 + o. Let t = g + 238.879. Round t to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**5\/40 + 2*g**4\/3 + 122*g**3\/3 - 30*g**2. Let d(n) be the first derivative of k(n). Calculate d(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*o + 1)*((-2*o - o**2 + 2*o)*(-o**2 - 2*o**2 + 2*o**2) - 16*o**4 + 7*o**4 + 15*o**4).\nAnswer: 14*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 2*p**2 + 3*p. Let g be a(-3). Suppose g = 5*l, -1 = 2*n + 3*l + 3. Let k be (4 + n - 5)\/(-3). What is the highest common factor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*l - 67 = 19. Sort -5, -7, -3, l in descending order.\nAnswer: l, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 13 = -5*x, -443*x + 2*f = -442*x + 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3783 + -3778. Solve 2*f + g*n - 10 = 13, 2*f = -2*n + 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124389381 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 962 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 419576354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1630595882.\nAnswer: 2, 11491, 70951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 114421\/20 - 5723. Let m be 655\/20 + 2\/8. Calculate the common denominator of 33*(m\/(-54) + 0) and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c - 22 + 17 + 7*c. Let k(p) = -p. Let l(q) = 2*k(q) + v(q). Is 9 a factor of l(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - -0.44. Let j = 0.24 - g. Let r = 0.1 + -0.2. What is the second smallest value in j, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35115?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 + 6\/2 - -9. Solve -3*w - 5*v + b = -16, -3*v = -5*w + 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -531 (c) 9 (d) -121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1743196?\nAnswer: 2, 7, 13, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k + 4. Calculate j(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 less than -1.4342?\nAnswer: -1.4642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(6\/7)*y**(-20\/11)*y assuming y is positive.\nAnswer: y**(3\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 87524777503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 19 - 5 + 4*w - 12. Let u(r) = 4*r + 3. Suppose -11 = -2*h - 1. Suppose d - h*d = 4, -1 = y - 3*d. Determine y*i(z) + 3*u(z).\nAnswer: -4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*o = 4*g - 723, 2*g - 4*o - 506 = 0. Suppose -9*d + g = -493. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -21*1\/(-7)*6. Let b be (5\/(-15))\/((-1)\/a). Solve -3*s - b = -0*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 20 - 14)*(0*v**4 - 7*v**4 + 3*v**4 + (18 - 6*v**3 - 18)*(1 + 2*v - 1)) in the form k*v**4 + z + g*v**2 + i*v**3 + w*v and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -78.31 and -12.1?\nAnswer: 947.551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 9:25 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28107637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -621703 (base 8) to base 14\nAnswer: -54db5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*j**2*s**2*x - 6*j**2*s*x - 20*j**2*s - j**2*x**2 - 17*j*s**2*x**2 wrt s?\nAnswer: -10*j**2*x - 34*j*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8\/(-24))\/(5\/(-35520))?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89530 is divided by 635.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.06, 0.4, 0.1 in decreasing order.\nAnswer: 4, 0.4, 0.1, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 - 47*a**2 - 52*a + 20. What is l(-22)?\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - 21 - (-5 - (-12 + 6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {k: 7, z: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 5 = q - 1, 2*j = -2*q for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/3475 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + c. Suppose 0 = -5*n + 20, -4*g = -7*g + 5*n + 325. Let q = g - 129. Sort c, -4, q in descending order.\nAnswer: c, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86171 is divided by 129.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -y - 3*d + 9, 7 = 2*y + 3*d. Let h be (y\/2)\/((2 + 1)\/(-42)). Solve -j + 1 = -2*j + 4*o, 2*j - 3*o + h = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (-5 - -23) - (3 + 5 + -52 - -5)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/23 in 3, 8656, -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -828727 - -828726.8100003. Let n = 4.21 + -4.4. Let p = n - z. What is p rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 4*j. Let g(v) = -21*v**2 + 70*v. Suppose -10*o - 44 = -32*o. Let u(k) = -5*k**2 + 17*k. Let a(z) = o*g(z) - 9*u(z). Give -2*a(b) + 7*c(b).\nAnswer: b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9.24084 + 2988966\nAnswer: 2988956.75916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18465*u**4 + u + 27944.\nAnswer: -221580*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -569 - -1283. Let t = 1065 - u. Let y be t\/(-6)*(-8)\/6. What is the highest common divisor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -102.58 and 0.0702?\nAnswer: -7.201116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3019818 to the nearest integer?\nAnswer: 1738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -28. Let c = 8 + z. Let l = -14 - -11. What is the second smallest value in l, -1\/5, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.4 + 0.6. Let q = -347192 - -347192. What is the nearest to -0.04 in q, 0.4, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.8642*-0.0153\nAnswer: 0.04382226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 d when two letters picked without replacement from {f: 2, d: 1, q: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346*c - 344*c + 72*c + 65*c.\nAnswer: -553*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = t + 3*t - g, 5*g + 23 = -t. Let c(s) = -120*s - 1. Let h be c(t). Let p = h + -249. Calculate the remainder when p is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 928, 930, 932?\nAnswer: 934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51099 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 17 - 26 = 0. Let l(m) = 2*m**2 + 12*m + 8. Calculate the remainder when l(x) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27989618 at least as big as 27989618?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 19*p - 20. Suppose 30*w = 31*w - 20. Let a be b(w). Sort a, 2, -2 in increasing order.\nAnswer: -2, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30683, 30685, 30701, 30737, 30799, 30893, 31025, 31201?\n\"Answer: g**3 + g**2 - 8*g + 30689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 75830085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -d5152 (base 16) to base 6\nAnswer: -30412402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 260\/(-78) + 3364\/174?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 220 and 770.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.26 + -0.26. Let z = -3 + y. Let k = 8.0000025 - z. What is k rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 5*r**2 - 3*r - 1. Let d(u) = -19*u**2 + 10*u - 5. Let t(x) = 13*x**2 - 7*x + 3. Let h(m) = 5*d(m) + 8*t(m). Determine 3*h(b) - 5*o(b).\nAnswer: 2*b**2 - 3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - 2*n - 2*n)*(1865334 + 10925*n - 1865334) as o*n**2 + x + a*n and give o.\nAnswer: -10925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1176607 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29.92 + 30. What is the nearest to -0.1 in -2, j, -0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - (64\/48)\/(1\/(-3)))*1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-834)\/6255)\/((-4)\/90). Solve 2*y - 6 - 3 = 3*r, -4*r - 12 = -o*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 6 - 3)*(-1 + 4 - 4) - 1 - 1 + 1 + 0 - 4 + 6 - 2 - 3 + 0)*(-2*v + 6*v - 2*v) to n*v + m and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b**4 + 4*b**3 - 4*b**3 + (-b + 2*b + 9*b)*(b - 3 + 3)*(0*b**2 + 0*b**2 - 2*b**2).\nAnswer: -15*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide -2 + (-15)\/(-2 + -1) - -498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*y + 10. Let n = y + -6. What is the units digit of (6\/15)\/((-1)\/n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*m + 11*m + 22. Suppose -4*g + 5*q = -12, 3*q - 9 - m = -g. What is the remainder when 78 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (210\/(-45) - (-273)\/117) + 188\/6\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 0 - 66*z - 8 + 71*z. Let a(u) = 2*u - 3. Calculate 8*a(j) - 3*c(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + 3*l - 3*l + (1 - 1 - 2)*(-4*l**2 + 3*l**2 + 3*l**2) - 2*l**2 + l**2 + 3*l**2 + (-l + 0*l - l)*(-5*l + 4*l + 0*l) + 0*l - l**2 + 0*l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4428 and 3875976?\nAnswer: 11627928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, r: 4, a: 1, w: 1, c: 2, n: 3}. What is prob of sequence wcn?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 7. Suppose -27 = 2*z - s*z. What is the remainder when 26 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -4. Let d = 9160 - 73735\/8. Let n = d - -57. What is the closest to -4 in -2, z, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 429957 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.3, 1, -0.77, 0.4, 4928 in descending order.\nAnswer: 4928, 7, 1, 0.4, 0.3, -0.77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*i**4 - 4*i**4 + 0*i**4)*(-102 - 148 + 40 + 43) to w*i**3 + g*i + x*i**2 + h + t*i**4 and give t.\nAnswer: -835","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 86. Let p be o(-9). Let h(m) = m**2 - 8*m + 8. Let s be h(6). Sort p, -5, s in increasing order.\nAnswer: -5, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -184 or -232?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*o**2*x**4 - 2*o**2*x**2 - 786*o**2 + 2628*o*x**4 + 1 wrt x.\nAnswer: -120*o**2*x + 63072*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/1272 and 87\/14.\nAnswer: 8904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 352 and 141152.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 377258.5 milliseconds to microseconds.\nAnswer: 377258500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1352202 and 50838.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a kilogram in grams?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-116)\/(-38) - (29 - 26))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**4\/12 + h**3\/3 - 8*h. Let g(w) = -w**2 + w. Let y(j) = 2*c(j) - 4*g(j). Let q(f) = -5*f. What is y(q(x))?\nAnswer: 50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3195 + -6?\nAnswer: 318c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 = 3*x, -3*x + x + 24 = -5*o. Sort 5, -7, 3, x in decreasing order.\nAnswer: 5, 3, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049314831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -2. Let o be 0 + (-3)\/(6\/(-2)). Let p be (-14)\/(-2)*(-4)\/(-14). Put o, t, p in ascending order.\nAnswer: t, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gmlgcglygclm. What is prob of sequence gmy?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - -20bb015?\nAnswer: 20bb007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 2 - (-14 - -8 - -14).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42 or 245?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1166, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, 2\/3 in descending order.\nAnswer: 2\/3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -26, -10, 16, 52, 98, 154?\n\"Answer: 5*c**2 + c - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*2*3\/(-1)*101\/202?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1034, 41, -0.3, 1, 2\/17, 1\/2 in decreasing order.\nAnswer: 1034, 41, 1, 1\/2, 2\/17, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p + 1. Let q = -24 - -17. Let j be (-2)\/q + (-19)\/(-7). Let w be (9 + (-14 - -7))\/((-1)\/2). Let b(n) = 2*n + 2. Determine j*b(l) + w*t(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 + 13 = -5*b. Let t = 21 - b. Suppose -758 = -4*f + 4*z - 106, t = -4*f + 5*z + 649. What are the prime factors of f?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + ((-483)\/(-84))\/((-14)\/(-16))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 2*b = -154. What is the remainder when 131 is divided by b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 81598, 81776, 82072, 82486, 83018, 83668, 84436?\n\"Answer: 59*b**2 + b + 81538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*7\/3*1512\/4704\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/(-2))\/(4\/(-40)). Let g = a + -21. Find the second derivative of g*r - 5*r - 44*r**3 + 37*r**3 wrt r.\nAnswer: -42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2688*i - 63432 = 3569*i for i.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61464 by -2.\nAnswer: -30732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*m = 4*z + 18599988, m - 2*z = -6200006. What is m rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 1)*(0 - 4 + 2 + 14*r**4).\nAnswer: 56*r**4 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 84083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 4)\/(2 - 3). Sort a, -97, -3.\nAnswer: -97, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -412.1181 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2010292497?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 2)*(-3*v + 0 + 0)*(v**2 + v**2 - v**2) - v + v + 2*v**3.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 10:32 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -18. Let o = l + -3. Put 0.1, o, -5 in decreasing order.\nAnswer: o, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 10:20 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(-161)*3\/(-3)*(-40)\/80.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*-2*4 + sqrt(208) - (1 + -1 + sqrt(208)))**2*-4 + (2*(sqrt(208)*-2 + -1 + sqrt(208) + sqrt(208)))**2 + -5.\nAnswer: -53249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from ddwlwwwblbwbwdrdwddb.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 597\/(-2436) - ((-71995)\/1595 + 45)?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**4\/5 + 9*d**3 + 78*d**2\/5 - 72*d = 0. Calculate d.\nAnswer: -12, -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -4*w - 5. Let j be z(-5). Solve -j = 3*r, -37 = 6*y - 3*y + 5*r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 6*j - 12 = 0. Let g(m) = m**3 + 16. Let v be g(0). Suppose -4*s - 4*r = -v, -8 = -4*s - 3*r + 3. Sort j, s, 8.\nAnswer: s, j, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4646*w**4 - 10*w**3 + 2*w**2 - 123480*w - 2?\nAnswer: -55752*w**2 - 60*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*x + 4308*j - 4303*j, x = -3*j - 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116973?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 146*l. Let s(o) = -2*o**2. What is r(s(h))?\nAnswer: -292*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/2)\/(10\/165). Let s = -19 - z. What is the highest common factor of s and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d**3 + 4*d + 4. Let h(f) be the third derivative of -1\/8*f**4 + 0*f - 1\/2*f**3 + 2*f**2 + 1\/24*f**6 + 0 + 0*f**5. Give -4*h(b) - 3*m(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 60? (a) 1600 (b) 4 (c) 3 (d) 4\/27 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23806 is divided by 11790.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80517 - 2*a + 2*a + 8*a + 5593.\nAnswer: 8*a - 74924","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -223949965.94502 + 0.2.\nAnswer: -223949965.74502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-55))\/(1\/(-2))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 3*m + 0*m)*(2 + m**4 - 2) + 31*m**3 - 31*m**3 - 15*m**5 - 2*m**5 - 2*m**3 + 2*m**3 + 6*m**5 + 3*m**5 - 3*m**5.\nAnswer: -12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12429 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35883.\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 147450592.55 to the nearest 1000000.\nAnswer: 147000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 3*h - 225. Let w(v) = -2*v**2 + 16*v + 154. Let k be w(13). Let y = k - h. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, d: 3}. Give prob of picking 1 d and 1 b.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 16*u**3 - 7*u**2 - 7. Let w(r) = 15*r**3 - 6*r**2 - 6. Let k be ((-354)\/(-413))\/((-1)\/(-7)). Give k*c(j) - 7*w(j).\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + (-1044)\/84 - 174\/231) + 860\/(-110).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5\/5 - 2232*m**4\/5 + 613574*m**3\/5 + 5199624*m**2\/5 - 8211944*m = 0. Calculate m.\nAnswer: -13, 0, 5, 562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6 + (26 - 93))*1*-82.\nAnswer: 2, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5143 + -5085. Calculate the remainder when 3537 is divided by y.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 33356063, 33356070, 33356081, 33356096, 33356115, 33356138, 33356165?\n\"Answer: 2*p**2 + p + 33356060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 8:43 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 12*h - 4. Let u be x(9). Let d = 39 - u. Let l = d - 13. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 63 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 7*q**6\/360 + 9*q**4\/8 - 5*q**3\/3 + 31. Let w(a) be the third derivative of m(a). Differentiate w(g) with respect to g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10118*i = 76149 + 105975 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -665, -849, -1039, -1235?\n\"Answer: -3*o**2 - 175*o - 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -318.757 and -101.429.\nAnswer: -420.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 587*g**8\/84 - 13*g**4\/6 + g**3\/3 + 28*g**2 + 6. What is the second derivative of v(z) wrt z?\nAnswer: 46960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-452400)\/(-4750))\/87 + 2\/19?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/3 - 30766*k**2\/3 + 675884*k\/3.\nAnswer: 2*k*(k - 15361)*(k - 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*v**2 + 31*v**2 - 8*v**2 + v - v - v**2 + 3*v - 3*v - 2*v**2 + (3 + 0 - 2)*(-4*v**2 + 4*v**2 - 2*v**2) + (2 - 4 + 1)*(-2*v + 6*v**2 + 2*v).\nAnswer: 44*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 38. Suppose -g = -2*z - 5*q + 16, -3*z = -4*q + 23. What is the nearest to -0.11 in z, 1\/7, 0.5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -786*a + 5608. Determine z(7).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 148140 * -522.\nAnswer: -77329080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27815285?\nAnswer: 5, 5563057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 1 - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/53026 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1465, 3070, 4837, 6772, 8881, 11170, 13645, 16312?\n\"Answer: a**3 + 75*a**2 + 1373*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-2*(sqrt(637) + -1 + sqrt(637) + -5 + sqrt(637) - (sqrt(637) - (sqrt(637) + sqrt(637) + 0 + 5 - sqrt(637)))**2 - ((sqrt(637) + -1)**2*1 + -3))*4.\nAnswer: -21312 + 1120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-132797)\/14*(165\/35 - 5)*28. What is v rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2243 or 1.5?\nAnswer: -1\/2243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101317.\nAnswer: 71, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 6*n + 10 = 0. Let b be 126\/45 + 2\/n. Sort 3\/8, b, 0.4 in decreasing order.\nAnswer: b, 0.4, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f = -5*j + 6, -3*j - f = -8. Let z = -1480 - -1483. Solve 4*r + 8 = j*u, 7 - z = -u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, o: 6, m: 2}. What is prob of picking 2 o?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 778.5 + -778. Which is the fourth biggest value? (a) -1 (b) f (c) 1.4 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*y + 3886 - 114*y - 3886.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 + 57. Suppose -4*j = -2*j + s + 3, 3*j = -k*s - 9. Suppose -2*z - n + 298 = -j*n, 3*z - n - 457 = 0. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14\/133 - 246897\/(-76) - (-21)\/(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, z: 1, x: 6, c: 2, a: 3, m: 4}. Give prob of picking 1 c, 1 d, and 2 x.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43 + 11?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-2883)\/124)\/31*(-3)\/2*(-544)\/(-5202)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -4) + (9 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/350 and -89\/480.\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (171 + 185 - 366 - 8*n)*(285*n + 287*n - 573*n).\nAnswer: 8*n**2 + 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b + 3. Let y be x(6). Let z = -5 + y. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 102592, 102521, 102450, 102379, 102308?\n\"Answer: -71*i + 102663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*b + 619 = 0, -6*b + 1246 = 2*g - 2*b. Let z = 1305\/2 - g. Calculate the common denominator of z and 1 + ((-4)\/22)\/1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0548 != 273\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**2 + 1. Let b be f(-1). Suppose -3*q = -b - 7. Let h be q\/6*(-3)\/(-2). Let k(t) = 7*t**3 - t**2 - t + 1. What is k(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 43, 40, 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2733184, -2733183, -2733180, -2733175, -2733168, -2733159, -2733148?\nAnswer: -2733135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -13\/5, 0.2?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99034 is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -802.9 * -923\nAnswer: 741076.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -218 - -236. Let l be ((-2)\/(-5))\/(a\/90). Solve -5*g - 8 = 5*u - 13, -l*u = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 39 = -t - l, -4 = -t - 4*l. Is t\/((4\/(-30))\/(13\/(-65))) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -3.9513580509.\nAnswer: -0.9513580509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188429 = 139*a + 3808. Is a at least as big as -1380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3948*a**3 - 3855*a**3 + 7831*a**3.\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (48\/21 - 2)\/(-2). Let r be (1\/(-2) - -1)*-1. Suppose -3*w + 5*m - 2*m - 6 = 0, -w - 2 = -2*m. Which is the closest to 1? (a) r (b) t (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 455432 + -3?\nAnswer: 455425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -582.075461 take away 1.3?\nAnswer: -583.375461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 3416 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qprqrwwwwpwwwppwpwww. Give prob of picking 3 w.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23424 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008658180094 to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2 + (sqrt(2) - (sqrt(2) + 0 + 1)) + -2)**2 - (-3*sqrt(64)\/(sqrt(32) - sqrt(2)))**2).\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7831072269?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2679 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.3 + -7.3. Let q = -0.47 + -0.03. Which is the fourth biggest value? (a) s (b) q (c) -0.3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17931969?\nAnswer: 3, 11, 173, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 15, -5*u - 10 = -4*a - 32 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2327095964*d + 2327095964*d - 12*d**2.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1890*r**3 + 2149*r**3 + 1246*r**3 - 4603*r**3.\nAnswer: 682*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4242 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/(1*sqrt(441) + sqrt(9)))\/(sqrt(20)\/sqrt(4)*-1 - -3*sqrt(80)).\nAnswer: sqrt(11)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-21)*(-270)\/36?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 t when three letters picked without replacement from {k: 1, v: 2, t: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 6*n**2 - 1. Let x be c(-1). Suppose 0 = -k + 2*u + 12, -5*u = x*k - 3*k + 21. Put -5, -7, 0, k in decreasing order.\nAnswer: k, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fqlflflqllllqq.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 6. Let n be l(4). Let g = -162 - -162. Which is the smallest value? (a) 4 (b) g (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + d = -17, -3*d + 25 = 2*c + 2*c. Solve 1 = 4*h + b, c*b - 8*b + 25 = -5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 96837.693 to the nearest ten.\nAnswer: 96840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -6\/1639, 6, -0.1, -3, 0.12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38\/(-20) - (-15)\/(-25). Sort c, -0.6, -1 in increasing order.\nAnswer: c, -1, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 2:39 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 123a (base 12) to base 6\nAnswer: 13314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -35.438?\nAnswer: 29.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10851*j - 10849*j - 117 = -5*f, -f = -5*j + 225 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*m = 3. Let g(o) be the first derivative of 5*o**2\/2 - o + 2. Calculate g(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 885*i**2 + 48*i - 99. Let k(c) = 111*c**2 + 6*c - 12. Determine -4*j(b) + 33*k(b).\nAnswer: 123*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -22.9. Let w = -0.1 + r. What is the closest to -0.1 in w, 4, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7678631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -53 (b) -1\/4 (c) 4 (d) 2 (e) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 152 = 2*t - t, -46 = -g - 5*t. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2069002700?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 318883 + -0.1\nAnswer: 318882.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g + 108. Let u be v(10). What is the greatest common factor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -11*i**3 + 30*i**2 + 123*i + 170. Let q(r) = 24*r**3 - 61*r**2 - 245*r - 340. Let y(b) = 6*q(b) + 13*t(b). Factor y(a).\nAnswer: (a + 2)*(a + 5)*(a + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 77\/70 + (0 - (-1)\/(-10)). What is the nearest to -0.1 in -5\/3, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*n**2*o - 9*n**2 - 3*o*y**2 + 5*o*y + 16*y**2 wrt o?\nAnswer: -3*n**2 - 3*y**2 + 5*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353596182?\nAnswer: 2, 3, 5939, 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*l - 6 = -0*b, 3*l = -4*b + 10. Differentiate -2*r**b - 2*r**4 - 5 - 2*r**4 + 4 with respect to r.\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*r**3 + 16 - 54 + 8 - 2*r + 13 + 14 to g*r**3 + w*r**2 + h*r + k and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.5, 60, 1\/4, 2\/11 in decreasing order.\nAnswer: 60, 5, 1\/4, 2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = 2. Suppose 0 = -5*y + 16 + 9, -4*y = 5*w - 20. Suppose w = -c + m + 1. Solve u + 4 = c*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 969 is divided by 491.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4424185 divided by -5?\nAnswer: 884837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -8 + 2 + -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 695 and -0.0428.\nAnswer: -29.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/5 + 9063*u\/5 + 72696\/5.\nAnswer: -3*(u - 3029)*(u + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 1)*(-2*j - 3 - 2 + 6*j) to o + f*j and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/8)\/((-5)\/(-40)). Let y be ((-6)\/16)\/(s\/8). Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/(104\/40) + 2425. What is the greatest common factor of q and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (sqrt(95)*-2 + sqrt(95)))*-3)\/(sqrt(80)*2).\nAnswer: -3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-5 - -4 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**4 + 32240*v**3 - 136077072*v**2 + 48979127872*v - 97414205344 = 0. Calculate v.\nAnswer: 2, 394, 7862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -20. Suppose 4*y + r - 40 = 0, 2*r = -b*y + 41 - 16. What is the remainder when 35 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 844 - (-7 + 0)\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**2. Let t(f) = 24453*f**2 - 2*f - 5. Calculate t(l(r)).\nAnswer: 97812*r**4 + 4*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/2*((-32)\/(-10))\/4. Let c be (-350)\/(-30) + n\/(-3). Suppose 0 = 4*d - 9 - c. What is the remainder when 22 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - sqrt(228)*1)\/(sqrt(21)\/sqrt(343)) + ((2*sqrt(133)*-2)\/(sqrt(224)\/sqrt(2)))**2*-6.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - h**2)*(-22 + h + 22) + 0 + 0 - 2*h**3 + (0*h + 0*h + 2*h**2)*(-5*h + 5*h - 2*h).\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -350*g**2*n**2 + 5*g*n**2 + 17*g*n wrt g.\nAnswer: -700*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*j**2 - 2*j + j + j.\nAnswer: 34*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**3 + s**3 - 22 + 18 - 4*s**3 to z*s + d*s**3 + i + w*s**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5949 is divided by 500?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16644*m**3 + 738*m**2 + 4*m wrt m.\nAnswer: -99864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 354.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 2400?\nAnswer: -2352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 6*r**2 - 10*r - 2. Let w(f) = -3*f + 2. Let s be w(2). Let g = -13 + 22. Calculate the remainder when g is divided by k(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -6, 2*p - 4*s = -p + 3. Suppose 3*g - 52 = 2*g + 5*h, -4*h - 365 = -p*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.1 + 2.1. Sort 4\/3, -3, m, 2\/15.\nAnswer: -3, m, 2\/15, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 3)*(0 + 1 + 0)*(-68 - 33*l + 66 - 20*l).\nAnswer: -106*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of 0*l**3 + 0*l + 65*l**2 + 85\/24*l**4 - 23\/20*l**5 + 0. Find the second derivative of q(v) wrt v.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16294509.\nAnswer: 3, 7, 11, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/19 - 582*f\/19 - 4784\/19.\nAnswer: 2*(f - 299)*(f + 8)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -674043 divided by -224681.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 0 + -1)\/(34\/(-1054)). Solve 5*z - b = -6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33238853, 33238868, 33238895, 33238934, 33238985?\nAnswer: 33239048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**5\/11 - 2323700*k**4\/11 - 109216878*k**3\/11 - 1673125024*k**2\/11 - 7733594624*k\/11 + 865296384 = 0.\nAnswer: -16, 1, 1161897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -127, -187, -243, -295, -343, -387?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726148 is divided by 36193.\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 a factor of 41434332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 3 + (-10 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2023133030 + -4?\nAnswer: -2023133034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 204 (base 14) to base 12\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0) + -21 + (6 - -7) - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 30. Solve -8*i - y = 1 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -360159150, -360159145, -360159138, -360159129, -360159118, -360159105, -360159090?\n\"Answer: x**2 + 2*x - 360159153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**2\/4 + 19219*i\/4 + 961 = 0. Calculate i.\nAnswer: -1\/5, 3844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -823*q**2 - 2. Let m(z) = 2*z. Calculate m(y(f)).\nAnswer: -1646*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**3 + 21*h**2 - 3*h - 70. Let o be v(10). Sort 1, -216, o in increasing order.\nAnswer: -216, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.02 - -2.62. What is the closest to -0.7 in 3, -1\/8, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 223 - 76 + 129 = -46*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.9? (a) -1\/3 (b) -0.3 (c) 111 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 135307, 270605, 405941, 541333, 676799, 812357, 948025?\n\"Answer: 3*b**3 + b**2 + 135274*b + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1. Let y(x) = -2*x**2 - x - 7. What is -3*r(f) + y(f)?\nAnswer: -2*f**2 - f - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1139.\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - 162*c - 2 + 6 + 172*c as p*c + k and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20101202222201200 - -10?\nAnswer: 20101202222201210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 2791 = 15*j. Does 31 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -302032 (base 6) to base 4.\nAnswer: -11303210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/3? (a) -2 (b) 5\/7 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/s**(-9))\/s)\/s**3*s\/(s\/s**(-2\/17))*s\/(s**8*s)*s*(s**5\/s**(3\/8))**(-31) assuming s is positive.\nAnswer: s**(-19515\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*n + 54 = 0, -7*n - 57 = -2*o - 2*n. Suppose i = -5*r - 7, -19*i + 3*r + o = -14*i. Solve 0 = -7*w + i*w + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167 divided by 488.\nAnswer: -167\/488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x\/x**3))\/x)\/x)\/x**(-5))\/(x\/x**(-1\/3)*x*x)**(2\/27)*((x**(-1)*x)**(5\/4))**(-24) assuming x is positive.\nAnswer: x**(466\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17577 = 49*l + 33529 - 17569 for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 64 times 4089981\nAnswer: 261758784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**5\/5 + 17*j**4\/5 - 77*j**3\/5 - 1201*j**2\/5 + 1232*j - 980 = 0. What is j?\nAnswer: -14, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 3)*(-4 + 3 + 2)*(3*y - 2*y + 5*y)*(-7*y**2 - 3*y**2 + 5*y**2) to the form z*y**3 + d*y + p + o*y**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven halves of a week?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32083\/9 + 3565. Does g = 111.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(180) + 1 + -3 + sqrt(180)*-2)*-3)**2.\nAnswer: 324*sqrt(5) + 1701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -108*i**3 - 17*i**2 + 17*i. Let g(l) = -36*l**3 - 6*l**2 + 6*l. What is 6*f(j) - 17*g(j)?\nAnswer: -36*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/2 + (-16720)\/(-3135))*(-8)\/110\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 <= 593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1176821 and -0.09?\nAnswer: 0.010591389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.721 - -0.711. Which is the closest to o? (a) -9 (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 10*f**2 - 28*f + 9. Let o be n(-12). Let m = o - 40. Let d be -1*m*4\/(-4). What is the greatest common divisor of d and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033\/2 + 14\/28 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 8:45 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 5*c**2 + 6*c. Let p be m(5). Let n = p + -15. What is the remainder when 28 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2382 - 73388?\nAnswer: -75781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/((17*-2)\/(2 - 5)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596604 to the power of 1\/2, to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*v**4 + 18*v**2 - 24*v**3 + 204*v**5 - 6*v**3 - 206*v**5.\nAnswer: -2*v**2*(v - 3)**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 536\/2280 + ((-166)\/6142 - (-160)\/(-925)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 107442*d**4 + 13342*d.\nAnswer: 1289304*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4700.157t to nanograms.\nAnswer: 4700157000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.7945 - -0.1745. Let b = -19 - m. Which is smaller: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-147)\/((8\/(-12))\/((140\/(-6))\/(-5))).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(-15))\/((-3)\/9). Let t be j + (-12)\/(-1 + -3). Suppose -2*d - t = z, 2*z = 4*z + 4. Solve 2*h = 3*u - 13, 2*u + 4*h + 2 = -d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fooffff. What is prob of sequence ffoo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 e when two letters picked without replacement from {i: 9, r: 3, y: 2, e: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -7729*y - 170012. What is k(-22)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/24 - 66\/(-8). Suppose 2*a - 3*f + c*f - 30 = 0, 2*f + 15 = a. Does 11 divide a + 7 + 1 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 29. Calculate the remainder when (-64)\/(4 + -6) + 2 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -861380 - -1268161. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(336\/(-792))*(-2)\/3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2503356 and 72.\nAnswer: 15020136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2*1\/(-8))\/((-11)\/((-1584)\/81))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57618?\nAnswer: 2, 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Suppose u*d = -6*d + 414. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.188912 rounded to three decimal places?\nAnswer: -1.189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1.6, 5, 18?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12184 divided by -607?\nAnswer: 12184\/607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-28*z - z + 0*z).\nAnswer: -29*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 58585288591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 191 (b) -0.9 (c) 1\/12 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) 2\/17 (c) 0.3 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8659034*t**3 + 21162666 wrt t?\nAnswer: -25977102*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62714.64 centuries in millennia?\nAnswer: 6271.464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -363 and 5.\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*u - 2471 = 1105 + 1605 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 37*k + 3. Let g(m) = 67*m + 7. Give -11*b(x) + 6*g(x).\nAnswer: -5*x + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and 1870.\nAnswer: 28050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*t - 8 - 90*t + 168*t + 9 - 36.\nAnswer: -t - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - 0.6. Let t = s - 10. Let u = t + 11.000015. Round u to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7943 to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*z**2 - 13*z**2 + 4*z**4 + (2*z + 3*z - 4*z)*(2 - 2 - 2*z**3) + ((-4*z**2 + z**2 + 0*z**2)*(4 - 4 + 2) + 0*z**2 - z**2 + 2*z**2)*(-5 + 2*z**2 + 5).\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmipd. What is prob of picking 1 d and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 3*v + 2. Let x be k(2). Suppose -y + 0 - 20 = 5*b, 0 = 2*y - b - x. Suppose -5*o + 352 = -2*f, 0*o + 4*o + f - 292 = y. Does 24 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**2 + 3198*d - 1280 = 0. What is d?\nAnswer: -640, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/74273199 and -127\/21220914?\nAnswer: 148546398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 63465469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-nine sixths of a hour?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (456\/(-171))\/(8\/6*-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 6:56 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -2*p**3\/3 + p**2\/2 + 82*p + 25. Does 7 divide y(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295*(-6)\/(-36)*516\/430?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 22, -1\/2, -60, -3\/4?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5558 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*s**2 - s**2 + 0*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*-2*2 + sqrt(110) + -3*sqrt(110)*-1)\/(sqrt(40)*-3 - 2*sqrt(10)*-6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 j, and 2 k when four letters picked without replacement from bbjkjbbfbbkkkj?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 611201273.\nAnswer: 61, 1559, 6427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (7 - 5)) + (-3 - -10) + -52 + -20\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 13 = -4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 6 = 11. Let b(o) = -4*o - 2 + v*o - 4*o. Let z(s) = s + 1. Determine b(x) + 2*z(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 + 17*d - 643. What is u(-21)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/(-9))\/((-4)\/9). Let n be ((-21)\/(-6))\/(t\/30). Suppose 6*c - n = 19. What is the smallest common multiple of 10 and c?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 10 + 6 - 8*c in the form d*c + n and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 193, 0, 7 in ascending order.\nAnswer: 0, 5, 7, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2225382 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-8)\/48*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - p. Let c(v) = -6*v**2 + 16*v + 7. Let z(s) = c(s) + 5*f(s). Let x be z(10). Let a = x + -8. What is the remainder when 25 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - i + 232. Suppose -7*o - i = -8*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 61 + 7 = 0. What is the remainder when r is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 13. Let n be g(0). Suppose -80 = -5*z + w - 6*w, 64 = 3*z - w. Let u = z + n. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 + 92. Let x(t) = 2 - 54*t - 1 + s*t. Calculate x(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + -2 + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 211*l + 28. Let t(f) = 1057*f + 141. Let i(w) = -11*h(w) + 2*t(w). Is i(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1385, -1400, -1437, -1508, -1625, -1800?\nAnswer: -2045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 + 68. Suppose -128*k - p = -129*k. Solve 2*t - 10 = 5*z - 0*t, 5*t + k = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(76) + 1 + 2 - (-1 + 2*sqrt(76))) + -2 + sqrt(76)*-2 + sqrt(76) + 5)*-6*-6.\nAnswer: -756 + 432*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 3*f + 19 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 2*t + 66 - 7*t.\nAnswer: -4*t + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**4 + 11660*c**3 - 129265*c**2 - 932700*c + 10543500 = 0.\nAnswer: -2343, -9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 37. Suppose 4*a - 11*m + x*m = 746, -4*a - 4*m + 756 = 0. What are the prime factors of a?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 3*m. Let q(f) be the first derivative of 1 + m*f**2 - 5*f**2 + 4*f**2. Let s(a) = -2*a. Calculate q(s(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9688 is divided by 9663.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 690808 (base 10) to base 11\nAnswer: 432018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16043.\nAnswer: 61, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -43. Let l = 99 - r. Calculate the remainder when l is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 985754359?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 3461?\nAnswer: -345b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*l**2 + 6*l**2 + 28*l**6 - 15 - 10*l**3 - 55*l**6 + 10*l**6 + 3*l**3 wrt l?\nAnswer: -2040*l**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 17*m - 35*m + 401. Let k(h) = 6*h - 152. Determine k(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r - r - 2*r + 4*r - 3*r + r + (0*r + 0*r - r)*(-9 + 4 - 9) + (3*r - 3*r - 2*r)*(-1 + 18 - 1) to f*r + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 - (-5 + 8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 2:05 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-6\/11)\/((z\/(z*z**(-41)))\/z)*z**(15\/4)\/z*z*z*z**(4\/13) assuming z is positive.\nAnswer: z**(-20299\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14442 and 279627.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6135 = -4*x + 7061. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 34*y. Let q(a) be the first derivative of a**2\/2 + 13. What is x(q(u))?\nAnswer: 34*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.13 - -0.17. Let g = -0.2 + 1.2. Let p = d - g. Sort 1, 1\/3, p.\nAnswer: p, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1259006 - -0.3955?\nAnswer: 0.5214006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1731119?\nAnswer: -2\/1731119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 72420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46.3 - -150.7. Let l = 197.0000099 - p. Round l to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44355130?\nAnswer: 2, 5, 4435513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-32)\/(-36)*(-45)\/15\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a - 4 = -18*a - 3*p, 0 = 3*a - 3*p + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = -3*l + 60. What is the third derivative of -25*r**l - 4*r**4 - 5*r**2 - 50*r**2 wrt r?\nAnswer: -696*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2976.664 millennia in years?\nAnswer: 2976664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5290, 5655, 6018, 6379?\n\"Answer: -v**2 + 368*v + 4923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-17 + 19 - (11 + -1)). Let k be (-2 + 2)*1\/(-1). Suppose k*z + f = 2*z. Solve -25 = c + z*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 (base 6) in base 8?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 8. Let h(l) = -3*l**3 + 4*l**2 - l - 2. Let t be h(-2). Calculate the highest common divisor of t and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4996888, 4996986, 4997084, 4997182, 4997280, 4997378?\nAnswer: 4997476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v + 2. Let s be t(-1). Let b be (-31199999)\/s - (-6)\/24. What is b rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -56. Let b be ((-28)\/21)\/((-2)\/f). Is ((-970)\/15*3\/b)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/35272 and 35\/174?\nAnswer: 3068664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 1, 14, 5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/4*-6)\/((-3)\/6). Solve q*d = -1 + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iddjdiididdidididdi?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i. Suppose -5*q = 3*w - 28, 0 = 5*w + q + 5 - 15. Let s(v) = v**2 - 4*v + 6. Let o(j) = w*s(j) + 3*b(j). What is the units digit of o(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/(s**2\/s)*s*s*s)**(2\/45) assuming s is positive.\nAnswer: s**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -206 (b) 0 (c) -2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*p + 19858 = -369*p + 252*p - 22892 for p.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471757?\nAnswer: 11, 13, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*o - 4*f, 5*o = 2*f + 28. Let i be 12*18\/12 + o. Suppose i*z - 14 = 15*z. Solve 0 = -0*m - z*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 4 - 6 = 5*v, 2 = r - v for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 26 = 4*j - 2, -5*f - 12 = 4*j. Let l be j\/(76\/168 + (-6)\/21). What is the third derivative of 17*h**2 + l*h**2 - 3 + 3 - 30*h**3 wrt h?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f**2 + 7*f + 25. Let w(o) = 6*o - 5. Let b be w(0). Is a(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -12*c - 36. Give j(8).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 51\/1*(-2)\/(-6). Suppose 5 = 5*h - 2*j - f, 3*j = -4*h + 13. Suppose 0*t + i = t, 0 = h*t + 5*i. What is the second biggest value in -1\/3, t, -4\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18489 is divided by 4615.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2. Let t(d) = 3*d**2 - 12. Calculate a(t(h)).\nAnswer: -18*h**4 + 144*h**2 - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*c**3 + 44*c - 5*c**2 + 56*c**3 + 5*c**2 + 0*c**2 as z*c + l*c**2 + m*c**3 + x and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + g**2 - 5*g. What is o(-5)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 319*j**4 + 564 wrt j?\nAnswer: 1276*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 6*u + 2*u)*(-12*u**3 + 65*u**3 - 19*u**3).\nAnswer: -68*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, i: 4, g: 1, h: 4}. What is prob of picking 1 g, 2 i, and 1 h?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*f**3 + 0)*(2 - 5 + 2) - 31*f**2 + 47*f**3 + 30*f**2 - 6*f**3 to k*f**3 + a*f**2 + o*f + p and give k.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 261082 divided by -1\nAnswer: -261082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16646 + -16632. Let v(t) be the third derivative of 17\/60*t**5 + 0 + 0*t**3 + r*t**2 + 0*t + 0*t**4 + 1\/4*t**6. Find the third derivative of v(b) wrt b.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q - 127 = 569. Which is bigger: q or 27?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -769 - -1350. Let m = -406 + v. Is 64 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, d: 2, g: 1, j: 5, w: 5}. Give prob of sequence dygy.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 64\/11 - 10\/(-55). Suppose 0 = 3*h - y*h + 12. Suppose -h*r - 27 = -5*r. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/13)\/c**8*(c**(-2\/25))**(6\/29))**(-3\/7) assuming c is positive.\nAnswer: c**(228843\/65975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 4*n + 3. Let q be r(-4). Let o = 76 + -73. Let w be 8*o\/(3 + 3). Solve -q*c + 5*t + w - 20 = 0, -5*t = 2*c - 31 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 2728*x - 150199. Give b(-54).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 2:11 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/36 + 0)*(-7 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**5\/5 + 2828*l**4\/5 + 13952*l**3 + 60896*l**2 - 278976*l\/5 - 1263168\/5 = 0.\nAnswer: -18, -6, -2, 2, 731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-70)*(-1281)\/1830.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5b90 + 6912?\nAnswer: c7a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -228*r**2 - 5 + 2 + 221*r**2 + 1 to y + c*r + z*r**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b**2 - 8*b + 4. Let j be s(10). Suppose -h + 5*h = j. What are the prime factors of h?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -53682 and -966301\/18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 8) in base 11?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (112 + 73 + 95 + 79)*(49*s - 49*s + 30*s**2) as y + w*s**2 + f*s and give w.\nAnswer: 10770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 16430 = -31*n. Let g = n + -525. Solve -5*q + g*t = 0, 3*t = -q + 7*t + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38698 - -3?\nAnswer: 3869b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10864227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (372 + 3)*13\/(-39)*90040. What is p rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -2*n + 24, 3*p - 3*n = 68 - 86 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/18 + 2\/18. Which is the nearest to 2\/5? (a) o (b) 2\/11 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 2\/17*s**5 + 0*s - 20\/17*s**2 + 12\/17*s**4 + 6\/17*s**3 = 0 for s.\nAnswer: -5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 + 16*q - 7. Calculate the remainder when 92 is divided by d(13).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -16, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3702 - 442 + 1664 = 0. Is 30 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 112*w = -109*w + 53, -3*w = 33 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3698, 6990, 10350, 13778?\n\"Answer: 34*v**2 + 3190*v + 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -38. Calculate the remainder when 216 is divided by s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g + 7 - 37 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146735*y**2 + 73363*y**2 + 73372*y**2 - y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1014 - 20 = 7*y. What is the remainder when y is divided by 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -0.4 (c) 0 (d) 1\/4 (e) -4022\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*n + 2487 = 591 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a hour?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-198))\/(1220\/(-488)*(1 + (-19)\/15))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11760 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -18*l - 65 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*o**4 - 5*o - 6*o**4 - 2*o**3 - 27*o**4 - 1 as r + w*o**4 + t*o + q*o**3 + f*o**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 18 = -4*v, v - 4*w + 25 - 3 = 0. Let n = -204 - -1011\/5. Are v and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 11*c - 5. Determine a(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjejjaejjjajaja. What is prob of sequence eje?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*s + 3*s + 9*s + 12 to y*s + q and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113.1813 months to centuries.\nAnswer: 0.09431775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -147 by -49.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 33. Suppose 0 = -2*r, -2*l + 3 = -l - n*r. Put -3, l, -2, 4 in descending order.\nAnswer: 4, l, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 503890 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 17*n. Let b(o) = 816*o. Suppose 0 = 5*a - q + 1451, -156*q = 2*a - 151*q + 548. Determine a*x(t) + 6*b(t).\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -138*d + 5*d**3 + 3*d**3 - 2*d**2 + 132*d to h*d + o*d**2 + j*d**3 + y and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*u**4 + 67*u**3 + 3*u**2 + 2*u - 5014 wrt u.\nAnswer: 48*u**2 + 402*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 11*a**6\/120 - 11*a**5\/60 + 2*a**2. Find the third derivative of d(h) wrt h.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 u, and 1 s when four letters picked without replacement from {s: 3, z: 2, g: 3, j: 6, u: 3}?\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010574017 rounded to four decimal places?\nAnswer: -0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -470\/207 - -42\/23. Let x = -0.22 + -0.08. Let v = x + 0.4. Which is the closest to v? (a) -0.3 (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**3 - 4*r**2 - 3*r - 2. Let a = 6 + -8. Let s be o(a). Let v(p) = p**2 - 1. Let m be v(s). Solve m = 4*q + q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12211 - -10?\nAnswer: -12201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30779 + 30857. Suppose 0 = -b - 5*t + 229, 3*b - 2*b - 5*t = 229. Calculate the remainder when b is divided by u.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**4\/12 - r**3\/3 - 2*r**2 + 2*r. Let n be y(3). Let c be 1\/((-1 - -2)*n). Which is smaller: c or -1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000020296 rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6076 and 83390?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 35 = 5. Suppose 0 = -3*u + 4 + t. Solve -r - q + 2 = 0, -5*r - u*q - 2 = -0*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 82 - 81. Let a be (l - 11\/5)\/(60\/(-200)). What is the biggest value in 0.13, a, -2\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13284, 13550, 13816, 14082, 14348, 14614?\nAnswer: 14880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3683*m**6 + 33*m**4 - 2*m**2 + 2*m + 6150?\nAnswer: 441960*m**3 + 792*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71209*j**5 - 120344*j.\nAnswer: -1424180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103578 at most as big as 103517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(18)\/(sqrt(42)\/(sqrt(49)\/sqrt(7))))**2.\nAnswer: 10*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8436, 16874, 25312?\nAnswer: 33750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -4. Let k be 1 - (2 + 64\/(-2)). Suppose 3*h + k = 4*w + w, -18 = -4*w - h. What is the highest common divisor of w and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*k**6 + 2*k**4 + 31*k**3 + 256873*k**2 wrt k.\nAnswer: 3720*k**3 + 48*k + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40\/(-140) - 338\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from uzzz.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2 + 25*v - 4. Let l be d(-11). Suppose 7*b - 10*b = l. Calculate the remainder when 115 is divided by 9\/(-3)*-1 - (b + 1).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273708067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 399122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**3 + 2*v**3 - v**3 + (3 + 1 - 2)*(v**3 - v + v) + (4*v**3 - v**3 + 0*v**3)*(68 - 27 + 44) as n*v + o*v**2 + q + w*v**3 and give w.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/20)\/(1 - -1). Let t be (-6267)\/(-5499) - (-1 - -2). Let i = 2\/141 + t. Put w, i, 1 in ascending order.\nAnswer: w, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, l: 4, v: 2, k: 1, z: 2}. Give prob of sequence lzz.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19710 is divided by 6568.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1222650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2692*d**4*g**3 - 213*d**4 + 183*d**2*g**3 + 1543*d**2*g**2 - 2*d**2*g wrt d.\nAnswer: -64608*d*g**3 - 5112*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from {w: 1, b: 7, d: 4, m: 1, p: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 1 (b) 10 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -50315 (base 7) to base 10\nAnswer: -12164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.574565 rounded to one dp?\nAnswer: 23.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.4, -3, 3, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-330) - 216\/1620) + 112\/11 + 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -3. Let x(m) = -3*m**2 - 24*m - 22. Let i be x(-6). Solve -t - 2*t - 2*n + i = 0, -z*n = -t + 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -22*f - 6430. Let q(k) = 2*k**2 - 118. Calculate q(d(n)).\nAnswer: 968*n**2 + 565840*n + 82689682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 39 (c) 6 (d) 1\/3 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 3122011122211?\nAnswer: -3122011122203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*p**2 + 3390 - 3390.\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120303 - -303?\nAnswer: -120000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - i - 1. Let x(s) = -s**2 + 2*s + 2. Calculate -10*v(w) - 5*x(w).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {k: 1, v: 5, s: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -14 - (18 + 3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1152441 + 510?\nAnswer: 1153351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 16*g + 12 = 0. Find the third derivative of 45 + m**2 - 45 - g*m + 7*m - m**3 wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 smaller than 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -47764, -95632, -143606, -191686?\n\"Answer: -53*i**2 - 47709*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 78 = p. Let k be p\/(-15) - (-2)\/5. What are the prime factors of (2 - (-60)\/k)\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 385 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -0*v - 2*v. Suppose 4*l - v = 25. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**0*b)**(2\/25))**(5\/8))**(-35\/2) assuming b is positive.\nAnswer: b**(-7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0555 to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 755702359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + (sqrt(85) - ((sqrt(85) - 3*sqrt(85)) + sqrt(85))*-2) + sqrt(85))\/(sqrt(20)*4).\nAnswer: sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from {z: 1, s: 1, o: 1, d: 1, l: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from {r: 2, y: 8, x: 2, j: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/113, 28, -2\/23, -65?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2602*v - 38990. Let y(q) = q**3 - 5*q**2 + 2*q - 3. What is the smallest common multiple of y(6) and r(-15)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.985 micrometers in centimeters?\nAnswer: 0.0066985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1137 - 573. Let l = 2455 + y. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in eighteen sevenths of a week?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -629448.1395 to the nearest 100.\nAnswer: -629400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 111*n**2 + 1204*n - 660517.\nAnswer: 222*n + 1204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51845 is divided by 47301?\nAnswer: 4544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 5*v + 1003, o + v - 52 = 199. Suppose 3*r = -4*r + o. What is the lowest common multiple of 15 and r?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507117.\nAnswer: 3, 13, 13003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*o = -36*o + 4812. Let z be 32\/((1 - (-1200)\/o)*2). Let l = 12165 - z. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 367 + -819. Let c = -454.1 - s. What is the nearest to 0.05 in 3\/7, c, -2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 1) + -4 + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -152042 (base 6) in base 12?\nAnswer: -8622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(3 + 2 - 4)*(2 - 1 + 0)*(10*r + 2*r - 5*r)*(-2 - 4 + 1).\nAnswer: 70*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 135*l + 35*l - 3060 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 0) + -8*(3 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-6))\/(-1))\/(7562\/2388).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -3\/2*c**2 + 0 - 8\/3*c**3 - 194*c. Let h(s) = -3*s - 2. Let o(z) = 7*z + 5. Let v(j) = -5*h(j) - 2*o(j). Give v(k(x)).\nAnswer: -16*x - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -248. Calculate the highest common factor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*k = -36*k. Let c(b) = -4*b**2 + 2*b - 1. Let z be c(1). Sort 1, z, k in decreasing order.\nAnswer: 1, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1133? (a) -1 (b) -5 (c) 2 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55469 is divided by 3931?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1862, -676, 1290, 4030, 7538?\nAnswer: 11808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1225576, -1225575, -1225574, -1225573, -1225572, -1225571?\nAnswer: -1225570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2158104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 13*z**2 - z + 32. Suppose 114 - 101 = -d. Is j(d) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*u = 5 + 15, 0 = 4*j + 4*u. Solve 2*o + 19 + 3 = -4*b, -b - 10 = j*o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(605)*5 + sqrt(605)*-1 + -5) + 5)*-3*-5.\nAnswer: 1485*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -53 + 7\/((-21)\/(-15)). Let y be b\/(-22) + 18\/(-99). Solve -y*h + 15 = 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17381.98102 to the nearest one hundred.\nAnswer: -17400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11\/(-3))\/((-2)\/24). Suppose 0 = -2*q - g + 218, 0 = -4*q + g - 2*g + 438. What is the highest common factor of b and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -7. Suppose -5*z - 2*z = 0. Which is the second smallest value? (a) -1\/7 (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nznzeetmmehmmet. What is prob of sequence ehz?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4 - 4956*p**3 + 474300*p**2 - 11829348*p.\nAnswer: 4*p*(p - 1137)*(p - 51)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000330832 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.18 - -9.34. Is r < 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/3 + 52 - 2. Suppose -o + k = 4*o. Calculate the highest common divisor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 1. Let u = 30.429 + 0.571. Which is the third biggest value? (a) -1\/11 (b) u (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 144*x - 5*x**2 + 134*x - 278*x in the form l*x**2 + s + j*x and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 + 3*x - 7. Let b(m) = -m**2 + m - 1. Let y(d) = 3*b(d) - s(d). Factor y(k).\nAnswer: -(k - 2)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -359*n + 355*n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 = -506*a + 607*a - 713 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 25*c**3 + 9*c**2 - 7*c - 2. Let w be d(1). What is the remainder when 78 + -5*5\/w is divided by 36?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22847, -22960, -23073, -23186?\nAnswer: -23299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**8\/336 - v**5\/30 + 5*v**2\/2 + 7. Let i(z) be the second derivative of n(z). Find the third derivative of i(p) wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -11*j - 284. Suppose 8*q - 68 = -0*v + 2*v, -q + 132 = -5*v. Let k be s(v). Factor 40 + 20*a + 5\/2*a**k.\nAnswer: 5*(a + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**5 + 12*j**4 - 36*j**3 + 20*j**2.\nAnswer: 4*j**2*(j - 1)**2*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/((-695)\/7645*231\/(-78)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - 2625\/(-245) - -18?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/88 and 125\/48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 + 12. Suppose 5*i + 15 = 2*a, -3*i = -7*i + 5*a - 29. Let r = i - d. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, 2704 in descending order.\nAnswer: 2704, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1545.\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 18 = -3*o, -567*y - 48 = 20*o - 566*y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 27*q + 39. Let b be v(26). Suppose -b*w + 2418 = -1729. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38364 and 69.\nAnswer: 38364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 5, 2, -0.1, 63, -1.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -61*y - 23. Let h(g) = -15*g - 6. Let u(l) = -2*c(l) + 9*h(l). Find the first derivative of u(i) wrt i.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1*53097\nAnswer: -58406.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1 + x - 1. Let z be o(4). Suppose -5*h - 115 = -4*f, -f - z*h = h - 10. Solve -q = 5, -5*j - 5 - f = 5*q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*p**4 - 20*p**4 - 21*p**4)*(154 + 299 + 435) to w*p**3 + m*p**4 + y + b*p**2 + c*p and give m.\nAnswer: -25752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 6472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4012448 (base 9) to base 8.\nAnswer: 10110207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 11*u + 2 = 4*u, -175*u + 172*u - 10 = -5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 550248 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21912 and 5280.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80 + (20 - (-65 - -35) - 21).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 535*o - 528*o - 25, 3*o + 5*p + 10 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*j - 12, -5*l + 64 = -4*j + 48. What is the common denominator of 109\/140 and (-12)\/j*(-187)\/363?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 4 = 0, -4*p - 9*o = -10*o - 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10991371?\nAnswer: 239, 45989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -166 (b) -0.4 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118 divided by -7.\nAnswer: -118\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-1 + 3 + -3). Let a be (-3 - p)*(-4)\/10. Solve a + 3 = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from lflblnblnll?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 128 + -125. Solve v - 2 = -k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*w**3 + 5012*w**2 + 56632*w - 84448.\nAnswer: 4*(w + 13)*(w + 406)*(3*w - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33252 and 2586.\nAnswer: 14331612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-18 - -1 - -10)) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18953000 rounded to the nearest 100000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + -62 + 50 - -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 318.\nAnswer: 6996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + 11001100011?\nAnswer: 11001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 5*q - 4*q in the form g*q + h and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3464.941l in millilitres?\nAnswer: 3464941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9158627 take away -0.2427?\nAnswer: -9158626.7573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/4 + 7 + -3. Let i = -2444\/11 - -222. What is the nearest to z in -0.1, -1\/8, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25297 is divided by 85?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98410*y - 98409*y + 2 = -5*t + 27, 0 = -4*y - 3*t + 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 1.4 (c) 595\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + t - 2*t + (-3 + 4 + 0)*(-5*t + 3*t + t) + 45*t + 78*t + 2*t)*(1 - 3 + 1).\nAnswer: -125*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 117 - -4?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(567) - sqrt(567)*-1)*6.\nAnswer: -432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 68*x = -71*x + 9, -5*o - 5*x + 10 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -7*o**3 + 2*o**2 - 2*o. Let i = 3 - 6. Let a be r(i). Suppose 0 = -39*x + 42*x - a. List the prime factors of x.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -834 - -837. Let z be 2\/(-3) - 186\/(-9). Solve z = -2*k - m*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 = 3*b - 1692. What is the remainder when b is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 578*2*(-5)\/40. Let t = -155 - f. Let g = -187 + 889\/5. What is the common denominator of g and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 72936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 29.41?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (13\/(-15))\/((-325)\/650). Do 3 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65376 and 29664?\nAnswer: 6733728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3448 is divided by 688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 - 6*a**3 + 47 + 3819*a - 3820*a + 7*a**3 to l*a**2 + u*a + t + d*a**3 and give t.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence etv when three letters picked without replacement from {e: 1, v: 1, t: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -48*x**2. Let t(h) = -h - 538. Give p(t(f)).\nAnswer: -48*f**2 - 51648*f - 13893312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = c - 22, -v - 3*c + 1414 = 0. List the prime factors of v.\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 945*c**2 + 3*c + 1 - 4*c - 946*c**2 to l + p*c + h*c**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52822534 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (1 - 6 - (40 + -22 + 6 + 19)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, h: 5}. What is prob of sequence iih?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 9 = -3*y + 285, y = -3*n + 85. Suppose 370 = 4*c - 2*k, -2*c - 2*k = -241 + 53. Is c less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.4 + -8. Let q = 2 + -1.3. Let k = p - q. Is -1 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 33. Let v be (-3)\/(-2) - ((-19)\/(-30) - (-220)\/(-1650)). Put v, -3, w, 18 in decreasing order.\nAnswer: 18, w, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3819915833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2487 - 1456 + 2864 = -95*l for l.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-76)\/152*52?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfgkgfkkkkgkff. Give prob of sequence gf.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10257?\nAnswer: 3, 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12059 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1206*k**2 - 54*k. Let z(n) = 22*n**2 - n. Let v(y) = -x(y) + 54*z(y). Let a(u) be the second derivative of u**3\/3 - u. What is a(v(l))?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7 times 5488\nAnswer: -38416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/200 and 1\/(-300)*837\/(-6)?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.249 - 0.151. Let b = d - -12. Do 1\/5 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11921, 0, -6, -1 in ascending order.\nAnswer: -11921, -6, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2096, -3, 2, 4, -5 in decreasing order.\nAnswer: 2096, 4, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -553 - -361. Let w = -132 - a. Calculate the remainder when w is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.805371 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010 + 21010?\nAnswer: 20000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/35*(-5)\/(40\/(-8)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 38\/5*q**2 + 722\/5*q + 2\/15*q**3 - 107. Factor y(n).\nAnswer: 2*(n + 19)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11298 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 -2 + 1 - (3 + 2 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6255480496502 - 0.15\nAnswer: 6255480496501.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-65)\/4*(-20)\/5. Calculate the greatest common factor of y and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-84)\/18 + 5)\/(5\/24). Are d and -0.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 224720 and 144.\nAnswer: 2022480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5.96882 and -486.\nAnswer: -480.03118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3024, -0.02513, -2 in descending order.\nAnswer: 3024, -0.02513, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7333007 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 3*w + 2. Let b be i(2). Suppose -n = 3*x + 3, n - b = -n - x. What is the second derivative of 8*c + 0*c**3 - 6*c**n + 12*c**3 wrt c?\nAnswer: 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + ((2*sqrt(650)*3 - sqrt(650)) + sqrt(650))\/(5*-2*sqrt(32) - sqrt(32))) + -1)**2.\nAnswer: 30*sqrt(13) + 17566\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 874 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 + -59. Let u be -38 + ((-2)\/4 - (-18)\/o). Let d = u - -128. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 404856 + -404698. Let d = -18 + 36. Calculate the remainder when b is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433\/86 >= 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqifqifiuaiiqa. What is prob of sequence fqu?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384651040.\nAnswer: 2, 5, 2404069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + (sqrt(36)\/sqrt(6))\/sqrt(3)*6 + 4 + -2)*4.\nAnswer: -20 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((6 - -2) + (-22 - (-47 - -24)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 19 = 5*b - b, -2*h - 5*b = 14. Let y(o) = 13*o + 1. Let i be y(2). Suppose 25*r = i*r - 2. Calculate the highest common factor of r and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24577536 divided by 1536.\nAnswer: -16001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 25554 - (12\/14)\/((-9)\/(-42)). What is the greatest common divisor of m and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 22 (b) 0 (c) 1 (d) 4 (e) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 140, 549, 1232, 2189, 3420?\n\"Answer: 137*b**2 - 2*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 496238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from {d: 3, a: 1, j: 1, n: 1, m: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k + 1. Let b(g) = -4*g**2 + 5*g + 5. Let r(o) = b(o) - 6*x(o). Determine r(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1023 or -1024?\nAnswer: -1023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -404, -833, -1262, -1691, -2120, -2549?\nAnswer: -2978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1382, 2765, 4148, 5531, 6914?\n\"Answer: 1383*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 442429*o**2 - 751126*o**2 - 1038545*o**2.\nAnswer: -1347242*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**12\/(r**(2\/3)\/r))\/(r**(1\/7)\/r*r*(r\/r**6)\/r) assuming r is positive.\nAnswer: r**(382\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*t - 4*h + 2, -t + h = -2. Suppose -2*q + 8 - 4 = 4*v, -2*q + 3*v - 10 = 0. Calculate the smallest common multiple of 4 and -1 - ((-33)\/t + q).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3112232222 (base 4) to base 3\nAnswer: 1122200111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 944086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 4*g**2 + g + 13. Let v be i(5). Let r(t) = -23910*t + 18. Let z be r(v). Suppose -z = -5*p + 277612. What is p rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + c317?\nAnswer: c313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*h + 78 + 302. Calculate the remainder when 69 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -71, -111, 4 in descending order.\nAnswer: 4, -1, -5, -71, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 - 15*y + 9. Let x be c(7). What is the third derivative of -6*h**x - 18*h**6 - h**2 - 4*h**2 - 11*h**2 wrt h?\nAnswer: -2160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/552 (b) -2\/7 (c) 8.56 (d) 0.3 (e) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.6, 5\/4, 2\/5, 0.2, -3 in descending order.\nAnswer: 1.6, 5\/4, 2\/5, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -9, -5, 26 in descending order.\nAnswer: 26, 2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12050564 or -12050565?\nAnswer: -12050564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**6\/60 + 2*h**5\/15 + 5*h**4\/12 + h**2 + 8*h. Find p such that c(p) = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2228*j + 11158*j + 336643 = 369*j - 219822 for j.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -4043*n**4\/2 - 3196*n + 4971. Differentiate t(x) wrt x.\nAnswer: -24258*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of (35667918\/(-465))\/(-18) + 3\/((-15)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -2\/7 (c) 26 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2842 - 2911) + (2 + 1 - -19)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659029.\nAnswer: 7, 31, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 41.213. Let q = j - -3.213. Is 5 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174 divided by -47\nAnswer: -174\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4386397?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154412 (base 6) to base 11.\nAnswer: -10524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**4\/7 + 612*b**3\/7 - 4588*b**2\/7 - 8100*b\/7 + 11600 = 0.\nAnswer: -4, 5, 7, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 27 = -4*x, -2*t - 4*x + 29193 = 14597 + 14602 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.36 + 4.56. Let k = 736\/7 + -105. What is the nearest to 1 in 5, z, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15922994 is divided by 8621?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 122 + 12*n + 145 - 2*n + 2*n**2 - 243. What is the units digit of k(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqqaqdllhia. Give prob of sequence liaa.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glw when three letters picked without replacement from {g: 2, t: 1, l: 1, w: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77692 is divided by 668?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20807*p - 25723 with respect to p.\nAnswer: -20807","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -2. Let z = -1 - k. Which is the nearest to -1? (a) -0.3 (b) 2\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 149 = -23. Suppose 2*f + o + o = j, -3*o = -3*f + 45. Calculate the lowest common multiple of (-2)\/9 + 328\/f and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 114730, 229631, 344522, 459403?\n\"Answer: -5*u**2 + 114916*u - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -70. Suppose 0*j = 3*x + j + 11, 5*j + 16 = -2*x. Is 4 a factor of x\/6 + q\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 equal to -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-3) + (0 - 0). Let s be 48*(-1 - (-3)\/c). Suppose 4*k - 24 = s. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 10. Let s(g) = -g**3 - 9*g**2 - 8*g + 7. Let t be s(-8). Let z be x(t). Let c(d) = 7*d + 5. Let i(q) = -4*q - 3. Determine z*c(p) + 5*i(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -a255ac (base 13) to base 2\nAnswer: -1110011011010110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*u**4*x**2 - 11377*u**2*x**3 - u*x**3 - 24590*u wrt u.\nAnswer: -36*u**2*x**2 - 22754*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 10:14 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4763 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0813606 years to months.\nAnswer: 0.9763272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*t - 4*o, 5*t - 102 = o - 12. Suppose -t*g = 238 - 1192. Calculate the remainder when 105 is divided by g.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 1709*g = 1707*g, 4*g + 36 = 5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3523 - -49990?\nAnswer: 46467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*d*h**5 - 2*d*h**4 + 13*d*h + 2*d + h wrt h.\nAnswer: -340*d*h**3 - 24*d*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 8 = -2*w. Solve 3 = j - w for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*w**3 + 11*w**3 - 7*w**3 - 3*w**3 + w**3 + 4*w**3 + (3*w**3 + 0*w**3 - 2*w**3)*(1 - 2 + 0).\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, g: 7, l: 2}. What is prob of sequence lgfg?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2560 and 22190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + -18. Suppose 3*i = 11*i - 632. Let j = i + p. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129375, 130114, 130853?\nAnswer: 131592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 310830 and 310825 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-54)\/4*4\/(-6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from rzaz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-28))\/(36\/63)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z**2. Let i(h) = -5 + 6*h**2 - 5*h**2 + 5. Calculate i(v(u)).\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16416 divided by -3\nAnswer: -5472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4*-1 - 2) + 3. Let f be 3\/((-6)\/2)*s. Suppose 0 = -2*b - 2*b + 8. Solve f - b = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12957, -13422, -13943, -14520, -15153, -15842, -16587?\nAnswer: -17388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*c - 7*c + 135, -2*c + 54 = -k. Calculate the lowest common multiple of 15 and c.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14127403?\nAnswer: 14127403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1960 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7}. Give prob of picking 3 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5601608 and 752032.\nAnswer: -4849576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by 84.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 8725.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzzzylzy. Give prob of sequence lz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32267 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + n)*(1 + 2 + 2)*(64 - 86 + 113)*(43 - 43 + 31*n).\nAnswer: 14105*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 4*a + 1. Let o = 12 + a. What is the third derivative of -3*j**2 + 4*j**2 + 2*j**2 - j**5 - o*j**2 wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2103*q - 14601. Give k(-7).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 226*d*t**2 - 2*d*t + 11293*d - 36*t**2 + t - 2 wrt t.\nAnswer: 452*d - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 876978, 876963, 876952, 876945, 876942, 876943, 876948?\nAnswer: 876957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/35 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*i**5 - 47*i**4 + 47*i**4 + (0*i + 0*i + i**2)*(1 - 1 - i**3) - i**5 - i**4 + i**4 + i**5 - 5*i**5 + 0*i**5.\nAnswer: 34*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*z = 130*z - 414. Let m = 1081 - z. What are the prime factors of m?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93.15 - 89. Let i = -4.1500189 + m. What is i rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*3*6 + 1 + 2*sqrt(3))**2 - (sqrt(15) + sqrt(15) + sqrt(75)\/sqrt(45))\/(sqrt(5) + 2*sqrt(80)).\nAnswer: 1073*sqrt(3)\/27 + 1201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20112203 (base 4) in base 12?\nAnswer: -1796b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1782 = 4*n + 5*n. What is the remainder when n is divided by (-9)\/6*2156\/(-66) - -3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/267 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*d = 333*d + 3*a - 16, -5*d - 20 = -a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1)*(-34 - 131 + 41)*(-2 + 4 - 4 + (-3 + 0 + 1)*(-1 + 0 - 1) - 5 + 31 - 9 + 0 - 1 - 1)*(-b + b + 2*b**2).\nAnswer: 4216*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 290*f = 298*f - 32. Let z = -17.72 - 0.28. Let q = z - -12. Which is the second biggest value? (a) -0.3 (b) q (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37812 divided by 274\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6784, 9769, 12752, 15733, 18712, 21689?\n\"Answer: -p**2 + 2988*p + 3797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*i + 158. Let g = i + -41. What are the prime factors of g?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -6*v - 36. What are the prime factors of x(-20)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 + 139\/3. Let z(q) = -15*q - 3. Let o be z(-1). Suppose -89*m = -86*m + o. Which is the biggest value? (a) u (b) 2 (c) -0.03 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*c = 4578 + 5281, 0 = -a + 4*c + 4928. Suppose -2*j + a = -48562. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.3 (c) 6\/43 (d) -19 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*r - 32, 5*r - p + 34 = 83. Let q be 2 + ((-6)\/4)\/(r\/(-168)). Let t be 2*(-15)\/(-7) + q\/(-105). What is the closest to 1 in 0, -4, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11659 times -35920\nAnswer: -418791280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(245) + 0)*2 - 5*sqrt(245)*1) + 4)**2*3 + -4.\nAnswer: 126*sqrt(5) + 6614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcc when three letters picked without replacement from chccchqqqqhcccqcqch?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144, -1286, -3430, -6576, -10724?\nAnswer: -15874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10323924553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 15*k + 13*k + 18436, k + 7 = 0. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -87602, -350391, -788374, -1401551, -2189922?\n\"Answer: -87597*s**2 + 2*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*z - 92. Let f = -5 - z. Let r be (f\/15)\/((-6)\/(-15)). Solve -5*b + 3*d - 2*d - 18 = 0, -r*b = d + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(56) - sqrt(168)\/sqrt(3))*-4)\/(sqrt(1152) + (sqrt(1152) + (4*-1*sqrt(1152) + sqrt(1152) - sqrt(1152)) - sqrt(1152) - sqrt(1152))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36930028?\nAnswer: 2, 9232507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1298, 1292, 1286, 1280, 1274?\nAnswer: 1268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 2497854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -971.3721 - 3.03?\nAnswer: -974.4021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 1 (c) 3\/8 (d) 11 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/65370 and 77\/326850?\nAnswer: 326850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2119671 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k + 1. Let q be v(3). Let s(d) = d**3 + 10*d**2 - 11*d + 3. Let a be s(q). Solve 0 = 3*r + 2*r - 5*y - 40, -4*y = -a*r + 29 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36220916821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -9*d - 6. Let n(y) = -y - 1. Let t(r) = -5*n(r) + z(r). Suppose -4 - 6 = 5*q. What is the units digit of t(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80287254?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 12 + 4. Suppose 6*f + 20 = z*f. Let s = 7 + f. Calculate the remainder when 5 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13985, -20493, -26995, -33491?\nAnswer: -39981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b - 1. Let g(m) = 15*m + 3. Let q(o) = 2*g(o) + 7*k(o). Calculate q(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5176 - -5292. What is the highest common divisor of k and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -6. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/5, 58\/13, 2, -103?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*f + 10 = 31, 2*y - 2*f = 26. Calculate the remainder when 70 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 58*c - 832. Let x be a(-27). What is the closest to 2\/3 in -15, 2\/11, x, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*m + 3*m. Suppose -m*r = -5*r + 6. Sort r, 3, -2 in decreasing order.\nAnswer: 3, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 614284\/119 + -5162. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 102352, 205606, 308860, 412114, 515368, 618622?\n\"Answer: 103254*k - 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from wwwwwwwuwu.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115\/2, 1203, 4, 24.\nAnswer: 4, 24, 115\/2, 1203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9*(-4)\/6)\/(-1). Let s be 3 - -4*3\/j. Which is smaller: -1\/4 or s?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185 = 12*o - 233 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 8. Let y = -4 - a. Let s(r) = r**3 - 2*r + 3. What is the tens digit of s(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -45672, 2, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(3 + 3 + -4 + 187\/(-66))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -403 - -135. Let x = -187 - m. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 9:09 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide (-7 + 187\/(-55))\/((-1)\/95)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6074 times -74116\nAnswer: -450180584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 55 = d, -146*g + 5*d + 65 = -144*g. Solve 5*j - k = g, -2*j + k - 5*k = 14 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*sqrt(80) + (-1 + sqrt(80) - sqrt(80) - sqrt(80)) + 3)**2 + 3*(((sqrt(240) - (sqrt(240) - -2*sqrt(240)))\/sqrt(12))\/(6*sqrt(4)*-1))**2.\nAnswer: -144*sqrt(5) + 19457\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**4\/12 + 171*w + 5. Let t(o) = 2 + 3*o**2 + 6 - 1 - 4*o**2. Determine t(l(k)).\nAnswer: -k**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 4*q**2 - 3*q + 1. Let n = -1 - 1. Let o be n\/9 - 94\/(-18). What is the tens digit of k(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 520 + 70 = -5*j, -v + 4*j - 84 = 0. Let g be 568\/184 - (-8)\/v. What is the second smallest value in g, -2\/7, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)\/r)**(-2\/67)\/(r\/((r\/r**(-2\/9))\/r))**28 assuming r is positive.\nAnswer: r**(-13060\/603)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**3 - 15*q**2 - 7*q + 47. Calculate n(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -242 (base 5) to base 14\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -476636*r**3 + 238316*r**3 + 194*r**2 + 238524*r**3 - 194*r**2.\nAnswer: 204*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 1. Solve 0 = v*g - 25, -c = 2*c - 3*g + 18 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -9 + 6. Let a(w) = -w**2 + 8*w + 53. Let y be a(12). Suppose -3*o = y*i + 6, 3*i + 5 = 3*o + 11. Sort -0.02, -4, o, n in ascending order.\nAnswer: -4, o, n, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*f + 113*f - 828 = 188*f for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (3 + 22\/7).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -2*q - 1, -4 = -2*q - 3*a + 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 1244*g + 5002. Determine p(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-15))\/(-1) - 68\/51\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -12, -4*v + 1 = 4*u + 17. Suppose -4*d = 4*r - 8, u*d - 20 = -4*d + 2*r. Suppose d*o - o = 126. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 126\/17 or 6?\nAnswer: 126\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 6 = 2*l. Suppose -l*n - 5*d + 57 = 0, -3*d + 0*d = 4*n - 87. Find the common denominator of 4\/(-8) + 230\/n and -89\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*z**2 - 120*z + 319 wrt z.\nAnswer: 6*z - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*f**5 + 46*f**3 - 46*f**3 + (-2*f + 0 + 0)*(5 - 5 - f**4).\nAnswer: -11*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1074314350?\nAnswer: 2, 5, 827, 25981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32303944.\nAnswer: 2, 17, 173, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k - 1. Let b(x) be the second derivative of -30*x**3 + 30*x**2 - 6*x - 8. Let d(y) = b(y) + 5*u(y). What is the derivative of d(s) wrt s?\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + 46. Solve -5*y + v*f - 21 = f, -f = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 - 44. Let u(h) = -6883*h. Calculate u(j(f)).\nAnswer: 13766*f**2 + 302852","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 4*u - 1543 + 1445, 4*u = 5*y + 158 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -11000?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2254, 2046, -1 in descending order.\nAnswer: 2254, 2046, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3\/4 + 98*y**2 + 38021*y\/4 - 38809\/2 = 0. Calculate y.\nAnswer: -197, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 14, 827?\nAnswer: 827","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n - n + 3*n)*(-4 + 1 + 1) + 11*n + 0*n - 2*n - 3*n - 61 + 61 in the form o*n + r and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 10, 0.1, -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 1 + 19 - 12*d)*(-2*d - 12*d + 7*d).\nAnswer: 84*d**2 - 21*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(9 + (-138)\/24 + -4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*m + 2)*(2 + 0 + 0)*(23446 - 33532 + 6*m - 2*m) to j + i*m + u*m**2 and give i.\nAnswer: -40344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 20. What is the closest to -1 in 0.02, -1\/4, v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -252\nAnswer: -5\/252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -26 + 22 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a**(-3\/5))\/a*a)\/a)\/(a\/(a**(-10\/9)\/a)*a) assuming a is positive.\nAnswer: a**(-167\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2630 divided by 526.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 411 and 14659?\nAnswer: 43977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 685370 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 363097 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v = 0. Suppose 2*a = -v*a. Let n be (-16)\/4 + (9 - a). Solve n*d = 19 + 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2265755673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.8717036mg?\nAnswer: 0.0008717036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*-2*sqrt(448)*-6 - -1*(sqrt(448) + -1)*-1)**2.\nAnswer: 368*sqrt(7) + 236996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1950459.576 to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w - 6540 = -199*w. Calculate the lowest common multiple of w and (18\/4)\/(2\/4).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294 <= 1294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.33639 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*s - 2 - 68*s**3 + 139*s**3 - 59*s**3 wrt s?\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35079?\nAnswer: 3, 11, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-8)*c**2*c assuming c is positive.\nAnswer: c**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j + 51. Let w(n) = -n - 10. Let l(z) = 2*g(z) + 11*w(z). Calculate l(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -214*n**3 - 7*n**2 - 5*n - 3. What are the prime factors of z(-2)?\nAnswer: 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499936181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12548 by 4.\nAnswer: 3137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -86 - 28 + 55 + 3086*f + 59 in the form z + u*f and give u.\nAnswer: 3086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d**2 + 1. Let w be k(1). Let m(v) = v - 7. Let n be m(w). What is the least common multiple of 10 and 1\/(n - (-2)\/(-4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - -40. Factor 2\/9*f - 2\/9*f**3 + 0*f**v + 0.\nAnswer: -2*f*(f - 1)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 12 = -2*w, -5*o + 2*o = -3. Let u = -44 + 26. Let b = -8 - u. Calculate the greatest common divisor of b and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etuiteittuteezitztu. What is prob of picking 1 e and 1 t?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnnunbnuunnnuu. What is prob of sequence nnbu?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2641*t - 2*c = -2637*t - 22, 10*c + 30 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/11 or -367?\nAnswer: -367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 96852.4 litres in millilitres?\nAnswer: 96852400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1627\/1155 + 2\/231. Which is greater: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 59.\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -56*y + 5413. Is j(-69) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 7. Let p = -49 - -85. Suppose 8*h - 3*f - p = 4*h, 3*h - f = 27. What is the lowest common multiple of z and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(-4 - 80 + 14)*(3*b**5 - 5*b**5 - 2*b**5).\nAnswer: -560*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19671?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 8:08 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*-3*2*sqrt(704) - ((1 + sqrt(704))*-4 + (sqrt(704) + 4*(sqrt(704) + -1) - sqrt(704))))**2*3 + 5.\nAnswer: 46080*sqrt(11) + 7603973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/17, 2\/3, 2\/9, -0.6, 0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -9*r**3 - 4*r**2 + 4. Let a = 413 + -417. Let p(o) = o - 1. Let g(k) = 8*k**3 + 5*k**2 - 4*k - 1. Let q(h) = g(h) + 4*p(h). What is a*q(t) - 5*u(t)?\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 16, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*r + 29 = -4*p, 2*p + 5 = -3*r. Let s = -31 - -43. Let f = p + s. Solve -f*h - 7 = 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 37 = -4*l. Suppose -6 = p - l. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v - 74. Let t be j(19). Suppose -t*s - 594 = -8*s. Calculate the remainder when s is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 134, 278, 422?\n\"Answer: 144*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 87, 0.1, 0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 - 52. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from llslsrbrlrlsbbsslls?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 - 29. Suppose 2*o = 4*s + g, -3*s - 5 + 2 = 0. Suppose 0 = o*r + 7*r + 27. What is the second biggest value in r, -2\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2368042 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 5:50 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 195.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 124151328 a multiple of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 334, 670, 1006, 1342?\nAnswer: 1678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1620 by -356.\nAnswer: 405\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8204.\nAnswer: 2, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -9*s. Suppose s*n + n = 3. Suppose 30 = -n*d + 8*d. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*p - 3*p, 4*p = 3*r - 4. Let t = 119 + -374. Let w be (-2)\/4 + t\/(-10). Solve z - 5*z = -3*c + w, r*z - c = -19 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -211*g**3 - 231*g**2 - 6. Let n(m) = 420*m**3 + 460*m**2 + 13. Let d(q) = -6*n(q) - 13*t(q). What is the third derivative of d(p) wrt p?\nAnswer: 1338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -22. Suppose 7*g + 20 = b*g. Suppose -3*l + 59 = g*i, 22 + 51 = 5*i - 4*l. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22024126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 42\/17, -1\/4, -2\/5, 2.\nAnswer: -2\/5, -1\/4, 2, 42\/17, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6) - 531\/(-27). Suppose -9*b + m - 1 = 0. Let u be 4\/b + 36\/10. Is 6 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71172.9 rounded to the nearest 1000?\nAnswer: -71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55266091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/54 (b) 0.4 (c) -4 (d) 0.2 (e) -0.5 (f) 3 (g) 2.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 29*j - 348. Let h be g(19). Let u = h - 198. Sort 35, u, -3, -2 in decreasing order.\nAnswer: 35, u, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 32*j**2 + 34*j + 34. Let w be a(-33). Solve 5*i = 4*i - w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**2\/2 + 2*w - 160. Suppose 4*n = 9 + 3. Suppose 5*x - 2*j - 24 = 0, -5*x - n*j - j + 42 = 0. Determine r(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 + 15*c**2 + 10*c + 12. Let k be l(8). Calculate the highest common factor of 70 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1517\/3608 - (0 - 9\/(-24))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 48*j**3 - j**2 - 3*j + 5. Let t = -385 + 387. Is z(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4099?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 949817299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2488980 and 3120?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 1)*(-k**2 + 3*k**2 - 3*k**2) - 5*k**2 + 4*k**2 + 0*k**2 + (-4*k**2 - 2*k**2 + 5*k**2)*(-5 + 3 + 1).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*k + 246*k**3 + 209*k**3 - 454*k**3.\nAnswer: k**3 + 129*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)*-1*-6 - sqrt(204)*3)\/((sqrt(12) - (1*-2*sqrt(12) + sqrt(12)))\/(sqrt(144)\/sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -2, 4 in ascending order.\nAnswer: -2, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 171.7 + -172. Sort 18, q, -2, -3.\nAnswer: -3, -2, q, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -472\/57 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 48309, 48308, 48307?\n\"Answer: -h + 48310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**5\/3 - 428*i**4\/3 - 6892*i**3\/3 + 372076*i**2\/3 + 6616496*i\/3 + 6237952\/3 = 0. What is i?\nAnswer: -59, -16, -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15706.7536 rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*p**3 - 5 + 14 - 9.\nAnswer: -17*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 63 = 4*n, -4*n - 6 = 4*u - 90. Suppose 6*k - 3*k + u = 0. Let g = -3 - k. Solve 5*s + 6 = -g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18587 - -204459\/11. What is the second smallest value in x, 2\/5, -2.1, -4, 5\/2?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119209, -137626, -156041, -174454, -192865, -211274, -229681?\nAnswer: -248086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**5\/2 + 36*s**4 + 186*s**3 - 261*s**2 - 375*s\/2 + 225 = 0 for s.\nAnswer: -15, -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*a - 676*a**3 + 2981*a**3 - 74 - 25 + 523*a**3 wrt a.\nAnswer: 16968*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 16*l**3 - 2*l**2 - 4*l + 6. Let z be d(1). Let m(a) = a**2 - 17*a + 34. Determine m(z).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q - 1148*q**3 + 2*q + 951 + 123 wrt q.\nAnswer: -3444*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 13014537*u + 204*u**3 - 13014537*u + (-u + 3*u + 0*u)*(3*u**2 - 2*u**2 + 2*u**2) as x*u**3 + b*u**2 + t*u + l and give x.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/(-9) + 0 + 2. Let j = u - -1\/6. Which is the nearest to -2\/7? (a) 0.3 (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 56 from 574002681.\nAnswer: 574002625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -11*j + 12*j. Let l(z) = -205*z**3 - 2*z**2 - 2*z. What are the prime factors of l(j)?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4 = 19, 3*x = -5*p - 4. Let g(i) = i**3 + 5*i**2 - 8*i - 2. Let c be g(-6). Let o be p\/c + (-6)\/(-15). What is the nearest to o in -2, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**7\/840 + i**6\/240 + i**5\/20 - 34*i**4\/3 + 18*i. Let m(r) be the third derivative of t(r). Factor m(w).\nAnswer: -3*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, q: 8, x: 2}. What is prob of picking 1 q and 2 x?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r + 103. Let g be d(-5). Solve 2*y = -15*y - g for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**3 - 2*p**2 + 2*p + 3. Let b be q(-3). Suppose w = -0*w + b. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**4\/12 + d**3\/2 - 3*d**2\/2 + 7*d. Let b be k(-5). Is b < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1876019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7640 by -9.\nAnswer: -7640\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 - 26*c**2 + 5*c - 44. What are the prime factors of t(13)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 354*h**2 + 10*h - 25. Is w(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 3*y + 48. Suppose 3*b - 9 + 42 = 0. Is b <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1418*m**6 - 1726*m**2 wrt m?\nAnswer: -170160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 0. Suppose b = 5*q + 492, 9 = s*q + 5*b + 321. Let o = q + 226. What is o rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5 - x**2 - 6 - 3 - 2 - 7*x. Determine c(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2556, -3075, -3594?\nAnswer: -4113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*w - 3. Suppose 3*a + 2*n + 10 = 0, -4*n - 3 = 17. Solve a = 3*d + 2 + w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y + 16*y**2 - 3*y - y + 8 - y**3. Is z(8) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300\/450*(-6)\/56\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*2*sqrt(198))\/(-1*sqrt(324)))\/(sqrt(128)*-2*-1 + (sqrt(72) - -4*sqrt(72)*2)).\nAnswer: -sqrt(11)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.1 + -1.7. Let z = 7 - 6.9. Let x = c + z. What is x rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1218572, 1218577, 1218582, 1218587?\nAnswer: 1218592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -3*g**6\/40 + 11*g**5\/5 - 27*g**4\/8 - 7*g**3 - 109*g**2\/2 - 2*g - 39. Let s(o) be the first derivative of b(o). Factor s(j).\nAnswer: -3*(j - 14)*(j - 1)*(3*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 72\/7 + (-10)\/35. Suppose -j + r = 6. Solve -2*f - 2*a + 11 = -7*f, -j*a - 5 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = r + 6, 3*o - 4*r = 276. Is o a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.42, -0.91, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4 = 4*x + 16, 2*x + 20 = 5*r. Suppose x = -32*c + 34*c - 8. Solve 2*o + w + c = -w, -o = 2*w + 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(684)*1 + sqrt(684))**2.\nAnswer: 2733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(1057\/302*3\/(-21))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 350 = -3*n, -960 = -5*v - 4*n + 695. Which is greater: v or 334?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -8\/3, 0.6, 198?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.9 less than -10665?\nAnswer: -10646.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13256 in 4, -0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2.1*-1.55\nAnswer: 3.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*n**2 - 93490823 + 93490823.\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.015422 + 0.03004. What is z rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/65 and -25\/1911?\nAnswer: 9555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a = 5*a + 49. Let p(b) = -a*b + 18*b - 14*b. Let x(t) = 2*t - 27. What is p(x(z))?\nAnswer: -6*z + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 17*l - 30. Let y(x) = 23*x - 30. Let q(v) = -4*o(v) + 3*y(v). Calculate q(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 241 = -5*z, -5*n + 0*n = 3*z - 156. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6878, 13751, 20610, 27449, 34262, 41043, 47786?\n\"Answer: -u**3 - u**2 + 6883*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-404)\/(-4378))\/((-16)\/(-872)) + 0. Let l = -42\/199 + d. Calculate the common denominator of l and -56\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-21))\/((-24)\/(-168))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) 1\/5 (b) 100 (c) 6 (d) -2\/5 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0 = 10. Let n(v) = 8*v**2 + 5. Let t(p) = -4*p**2 - 3. Let o(r) = s*t(r) - 3*n(r). Factor o(d).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1581 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 122122 (base 3) in base 4?\nAnswer: 13130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o**2 - 138*o + 149. What is u(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 16*l + 64. Let q be v(-8). Suppose 0 = 5*j - q*p - 5*p + 20, -p + 4 = -3*j. Solve -2*k + 5*k = j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29956.3127 - 0.2.\nAnswer: -29956.5127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2487 - -2503. Let p be (1 - (-13)\/(-7))*7. Let f = 9 + p. Solve f*r + x = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8, 12, 32, 52?\n\"Answer: 20*c - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 3. Suppose 0 = b + q*n - 3 + 10, 0 = -4*b - 2*n. Let o be (-19 + 13)*1\/(-2). Solve 2*f - b = -o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 6*j**2 + j - 7. Let p be f(-5). Suppose -5*z - p = -23. Find the second derivative of -17*t**2 + t - 14*t**2 + 26*t**z wrt t.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, r: 4, v: 2}. Give prob of picking 3 r and 1 l.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1235*f + 20620. What is a(17)?\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 222 (base 6) to base 4\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-8))\/((-2)\/7 - (-6)\/168)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5931967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 3:38 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -37*l - 1. Let c(d) = -5*d**2 + 370*d - 358. What is the remainder when c(72) is divided by b(-2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2835 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*v = 3*g - 10, 4 = g + v. Suppose 11 = -k + g*k. Calculate the greatest common divisor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-30))**(2\/143)*(y*y**6)\/(y**(2\/53)*y) assuming y is positive.\nAnswer: y**(42008\/7579)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46 + (-5115)\/(-110))*4\/(-7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.09427061 * -5.\nAnswer: 5.47135305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25548 - -25549. Which is the second biggest value? (a) 4\/5 (b) y (c) -1 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1192 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 96. Is b(4) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 4*d + 33 = 0, -w - 9*d + 13*d = -13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*i = h - 14, 2*h + 3*i - 31 = 0. What is the greatest common factor of 136 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + (-15)\/6)*2. Let u be (-7 + 8)*(-1)\/q. Let b be -2 + u + -2 + -1. Let j(c) = c - 1. Let n(k) = 7*k - 5. Calculate b*j(d) + n(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*1*sqrt(144))\/(sqrt(9)\/sqrt(3)*5))**2*-6.\nAnswer: -2592\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38631199?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f**2 - 871388*f + 6099969. Determine j(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-14)\/6)*((-65)\/(-100) + 6\/(-15))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 327*i + 2739. What is q(-3)?\nAnswer: 1758","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-1\/4))*x)**11)**43\/((((x**1*x)\/x)\/x*x)\/(((x*x**(-3\/5)*x)\/x)\/x))**(2\/3) assuming x is positive.\nAnswer: x**(35411\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001100001111101110 (base 2) to base 7.\nAnswer: -10053016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**3 - 3*y**3 - 2*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129580 is divided by 342.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 796.8146 decades to centuries.\nAnswer: 79.68146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w - 2*w + w + (1 - 1 + 1)*(w + w - 3*w) + 3*w - 5*w + w - 3*w + 4*w - 3*w + w + 2*w - 4*w - 2 + w + 2 + (1 - 2 - 6)*(3*w - 8*w + 3*w).\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pep when three letters picked without replacement from {p: 4, e: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 21 = 15. Let i = 2 - g. Does 9 divide 18\/i*(-7 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ooxxox?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 886 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4*c - 0*c + 10, h - 11 = 3*c. Let s = h - 10. Find the second derivative of 3*b**s + 4*b - 3*b - 5*b**4 wrt b.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {e: 2, n: 7}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**3 + 9*h**2 - 6*h - 12. Let k(t) = -t**3 + t**2. Let i(w) = 6*k(w) - l(w). Let v be i(-4). Calculate the highest common divisor of v and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -14*g - 4. Let o = 187 + -185. Let a be n(o). Which is bigger: -37 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/3 - 20796842*t\/3 - 13864564.\nAnswer: 2*(t - 10398423)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/72 + -127\/1224. Suppose -5 = -2*p + 1, -h - 4*p + 10 = 0. Which is the third biggest value? (a) 5 (b) h (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -214330*y**4 - 1028804*y**3\/3 + 2443330*y**2\/3 - 771512*y\/3 - 8 = 0.\nAnswer: -3, -2\/64299, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Expand (34*m**3 - 118*m**2 + 118*m**2)*(-144*m - 97*m + 268*m)*(-4 + 0 + 2).\nAnswer: -1836*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-1) + -7*44\/154?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 9*s**2 + 7*s + 11. Let g(p) = -14*p**2 + 8*p - 9. Let j(b) = 7*b**2 - 5*b + 4. Let k(c) = -6*g(c) - 11*j(c). Let f(v) = 4*k(v) - 3*w(v). Give f(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277414 to the power of 1\/2, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(952\/(-1813)) - 15.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13373617 (base 9) in base 11?\nAnswer: -37aaa78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1637*p - 113059 = -87692 + 143244 for p.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*(2 + (sqrt(2) - (sqrt(18) + 2)) + -2 + (sqrt(2) - sqrt(72))*-6 + sqrt(6)\/(sqrt(3)*-1)) + -2.\nAnswer: -27*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 292\/2482 - (-3666)\/(-10064) and 59\/14.\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58\/8858989 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**2 - 3708*o + 11097 = 0.\nAnswer: 3, 1233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3 = -9. Let w(g) = -g**3 + 5*g**2 + 6*g + 9. Let p be w(k). Let h = 12 + p. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 6*v**2 - 4*v + 8. Let a be m(-5). Suppose 2*o + a*r + 12 = -18, -o - 21 = 3*r. Let i(y) = y**3 + 9*y**2 + 9. Does 2 divide i(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 305?\nAnswer: 305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 2.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 greater than or equal to 86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/4060 and 13\/116.\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21170370.\nAnswer: 2, 3, 5, 13, 19, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = n - 63, -9*i + 181 = 15*i - 2*n + 439 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*2*sqrt(1700)*-4.\nAnswer: -2 + 160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 8\/4 - -5. Let h(r) = -r**3 + 2*r**2 + r + 2. Let c be h(o). Let x = c + 103. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-198)\/(-1008)*(-72)\/(-198)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w**2 + 6*w - 32*w**2 - 6*w.\nAnswer: -51*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -39, -54, -69, -84, -99?\n\"Answer: -15*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 165228 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 0, -4 - 1 = -5*m + z. Put m, -1, 4 in ascending order.\nAnswer: -1, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 6. Let z(a) = 2297*a. Give z(g(j)).\nAnswer: -2297*j**2 - 13782","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3525892*j**2 + j. Let i(l) = -2*l. Give w(i(m)).\nAnswer: 14103568*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*r - 2 = 130*r, 4*k = -5*r + 67. Calculate the smallest common multiple of 36 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*u + 17*u + 35*u**2 - 51*u**2 - 4653*u**3 + 567*u**3 wrt u.\nAnswer: -24516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 4*f + 50, -5173 = -k + 4*f - 5108 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -264*q**3 + q**2 - 1. Let h be n(-1). Let k = h - 228. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayyyhyhhhodyx. What is prob of sequence dyy?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcm when three letters picked without replacement from mmmmmmmmmcmmmmmmmmm.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d + 15480 = -7*d. What are the prime factors of d?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5818362 and 29850?\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7540 = 3*l, -1575*i - 4*l - 7568 = -1577*i. What is the remainder when i is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a gram in micrograms?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4374945671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - 11 + 14 + 4*u**2 + 3*u)*(1 + 1 + 2)*(2 - 2 - u + 4*u - 6 + 6 + (-2 - 2 + 5)*(-5*u + 5*u + 2*u) - 2*u + u + 3*u + u + 2 - 2).\nAnswer: 64*u**3 + 96*u**2 + 96*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**8\/336 + 7*i**4\/24 + 18*i**2. What is the second derivative of f(l) wrt l?\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 432812.9+-0.01\nAnswer: 432812.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 69*(-1)\/7. Let p = m + -883\/91. Is -0.4 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4786)\/(-10) - (42\/(-15))\/7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.318 - 27.318. Let d be 1\/(15*(-1)\/(-9)). Which is the second biggest value? (a) m (b) d (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 4*h - 12, q - 2*h = 3*h + 7. Let f be q\/4*74\/(-111). What is the closest to 0.1 in -5, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -260861500 rounded to the nearest one hundred thousand?\nAnswer: -260900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 9 = r - 2*r, 4*r = 4*d - 24. What is the second biggest value in 4\/7, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -0.000519587936152?\nAnswer: -0.999480412063848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-75)\/36)*12621\/601\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3867811 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 3\/4, 45, -72, -1\/11, 1, -268?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5*k**4 + k**2 + k**4 + 1 - 3*k in the form q*k**4 + m*k**3 + p*k + w*k**2 + x and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -68088*a*m*r**3 + 191*a*m*r**2 + 15*a*m*r + 19*a*m + 2*m + 8*r**3 wrt r.\nAnswer: -408528*a*m + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -44*g + 2652. Calculate v(60).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -240*r + 5. Let k(y) = y - 1. Let o(x) = -6*k(x) - p(x). Is o(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1230112 (base 5) to base 7.\nAnswer: -126223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-60)\/(-112) + 1\/(-4). Let s = -5\/3 + 23\/12. Which is the closest to -0.2? (a) -0.4 (b) s (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1173 - -1224.7. Let o = 55.6 - 3.6. Let q = s - o. Which is the third biggest value? (a) q (b) 0.4 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*i + i + 4*i)*(2 + 0 + 0) + 1 - 2*i - 1)*(-4*i - 4*i + 6*i - 7*i + 4*i + 0*i + (5*i + 6 - 6)*(2 + 0 + 0)).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5547*i - 5545*i = -36 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 128580\/7 and 18370 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3 - 2*c**2 - 130*c - 126 = 0.\nAnswer: -7, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -23078?\nAnswer: -14\/11539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 5*t**2 + 6*t - 2. Let n be g(6). Let d be -8*(2 + -1)\/(n*1). Solve s + 10 = -d*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -446687\nAnswer: 2\/446687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16cb (base 16) to base 11.\nAnswer: -4425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 246*b**2 - 4157*b**2 - 2946*b**2 + 309*b**2 as t*b + k*b**2 + s and give k.\nAnswer: -6548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-4))\/(7\/4). Let d = -1.093 + 0.793. What is the third smallest value in d, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-7 - (-16 + 5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 m when two letters picked without replacement from otolmlommo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 2:12 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.24 - 0.24. Let x = -2.2 + f. Which is the closest to 1? (a) x (b) -2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -4. Let c = 70 - 65. Sort -4, c, x in ascending order.\nAnswer: -4, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwmfmmfa. Give prob of sequence ff.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4127483 - 0.\nAnswer: -4127483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -81179, -81211, -81267, -81347?\n\"Answer: -12*a**2 + 4*a - 81171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1208 - 1214. Sort m, 4, 3\/31, 1 in descending order.\nAnswer: 4, 1, 3\/31, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**3*t*t)\/t)\/(t\/(t*t\/t**0*t))*(t**0)**(-3\/17))\/(((t*t**(-4))\/(t**6*t))\/(t**0)**(-1\/7)) assuming t is positive.\nAnswer: t**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 + 48752*t**3 - 150964944*t**2 + 14732854400*t - 365299360000.\nAnswer: -4*(t - 6044)**2*(t - 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26438, 26473, 26508?\nAnswer: 26543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12487407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9303 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**2. Let b(l) be the third derivative of -l**5\/30 - 31*l**2. What is b(f(x))?\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -796560 rounded to the nearest 10000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 3*h + 14, 0*h + r = -3*h + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2963204 to the nearest integer?\nAnswer: 1721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5921, 23702, 53339, 94832, 148181, 213386?\nAnswer: 290447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 18 - 78*k**2 - 3054*k + 60 + 3218*k. Differentiate d(i) wrt i.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 147715810?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15517*m**3*z + 1612*m**3 wrt z.\nAnswer: -15517*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 992637 and 44361.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 9*g**2 - 15*g - 10. Let n = 4 - -4. Let h be d(n). Round h to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -228*s + 2942. What is g(13)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 10*a**2 - 19*a + 4. Let v(k) = 19*k**2 - 38*k + 7. Let l(f) = 7*m(f) - 4*v(f). What is the second derivative of l(h) wrt h?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpe when three letters picked without replacement from {w: 5, f: 1, e: 4, p: 4, x: 1}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**5\/20 - t**3\/2 + 11*t**2. Suppose n(u) = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7086 divided by 31910?\nAnswer: -3543\/15955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 3*d**2 - 2*d - 5. Let j be s(4). Suppose j*h + 5 = 2. Sort -4, 0, h in descending order.\nAnswer: 0, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 17 = 5, -5*a = -5*w - 25. What is the fourth smallest value in -2\/5, 2\/7, -0.5, w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 - 4*d**5 + 7*d**5 + (406 - 406 + 10*d**2)*((0*d**2 - 2*d**2 + 0*d**2)*(-d + d + d) + 5*d**3 - 4*d**3 - 3*d**3).\nAnswer: -36*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.019 - -8978992118.\nAnswer: 8978992117.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 48184?\nAnswer: 48184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8037*y**4*z + 322*y**3*z - 9197*z - 398 with respect to y.\nAnswer: -32148*y**3*z + 966*y**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 1. Let c(m) = -m**2 - 43*m - 223. Let p be c(-37). Let o(h) = -8*h**2 + 12*h + 14. Calculate p*o(q) - 12*k(q).\nAnswer: 8*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 13. Let t be q(0). Let a = -8 + t. Let l(d) = -6*d + 1 - 5*d**2 - 3 + d**3 - d**2 + 2*d**2. Determine l(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-16)\/(-6)*(-60)\/40. Let u = -708.4 - -708. What is the closest to -0.2 in u, i, -35?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1610 + 2310. Let s(z) = 2*z - 9. Let u be s(7). Suppose -u*g + k = -4*g. What is g rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwgwwwgwww. What is prob of picking 2 w?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1790 and 1150.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8732, 9661, 12198, 17147, 25312, 37497, 54506, 77143?\n\"Answer: 134*c**3 - 9*c + 8607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70 and 180.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 34818\/(-12435) + 2*159\/10\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 11 = 4*z, 3*k - 5 = -2*z + 4*k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*c - 19*c + 1495 = 28*c + 119*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -2*p - 4. Let s be 0\/(3 - (3 + p)). Is 2 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 890504 to the power of 1\/2, to the nearest integer?\nAnswer: 944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -v + 6*v. Let c = v - 3. Suppose -3*u + c*q = -0*q - 2, -5*q + 10 = 0. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = w - r, 5*w + r - 12 = 4. Suppose 0 = a + w*u + 10, -4*a + 8 + 12 = -4*u. Is (-63)\/(-12) - a\/8 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -18141, 1\/8, -1\/4, -0.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4168*k + 1131*k - 500*k.\nAnswer: 4799*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**2 - 2*z - 1. Let g be r(3). Let j(y) = 7*y**3 - 5*y**2 + 2*y. Let l be j(2). Calculate the highest common divisor of g and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 0 - 73449*m**2 + 0 + 73452*m**2. Let y(c) = 216*c. What is p(y(n))?\nAnswer: 139968*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9064, 9061, 9056, 9049, 9040?\n\"Answer: -z**2 + 9065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 9 = -r, 39*a = 38*a + 1. Sort -72, -2, 5, r.\nAnswer: -72, -2, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/(-384)*(-66)\/45*6?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2. Let g be (-5)\/(-5 - 25\/(-10)). Let z(h) be the first derivative of -g*h**2 + 5*h + 37 - 61 + 37. Give c(z(d)).\nAnswer: 32*d**2 - 80*d + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52364519?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((d*d**(-2\/3))\/d))**(-5\/9)\/((d**(-3\/2)*d)\/(d\/((d*d**(1\/8))\/d*d))))**(-38))**(-21) assuming d is positive.\nAnswer: d**(-15827\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5021210 (base 7) to base 16.\nAnswer: 90e57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 + 2. Let z(j) be the first derivative of j**3 - j**2\/2 + 3*j - 93. Determine 5*m(x) - 3*z(x).\nAnswer: x**2 + 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-3))**(9\/10)\/((h*h*h*h**2*h)\/((h**(2\/11)*h)\/h*h)) assuming h is positive.\nAnswer: h**(-364\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -144\/13?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 86. Solve 0 = -l - f*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -3, 1\/7, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 9*l - 16. Let j be z(6). Let d(b) = b**2 + 4*b + j*b**3 - 5*b - 37*b**3 - 3. Is d(5) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 7. Let b(f) = 5 - 14 - 2*f + 11 + 3*f. Let l(m) = -6*m - 7. Let d(a) = -11*b(a) - 2*l(a). What is -3*c(i) - 2*d(i)?\nAnswer: -2*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a century in months?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 17*i - 3660, 0 = 3*i + 3*f + 36 - 693. What is the greatest common divisor of 1872 and i?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 11*k**3 - 6*k**3 + 11*k**3)*(-2 + 2 + k).\nAnswer: -6*k**4 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 576 and 1216.\nAnswer: 10944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - u - 32. Let c(b) = 2*b + 2. Let i be c(2). Let k = u - i. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/3 and -28\/33715.\nAnswer: 101145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3) + 0 - 0\/(-49)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 63193501*i + 53532228?\nAnswer: 63193501","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 70461041106.9+-0.922\nAnswer: 70461041105.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 117 - 108. Let d be (-6)\/(-3) + a\/((-18)\/4). Put -9, 5, 3, d in descending order.\nAnswer: 5, 3, d, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2462*f**2 - 10442*f**2 - 5606*f**2.\nAnswer: -13586*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 5 + 6*c + 2)*(0*c + 0*c - 3*c**2).\nAnswer: -33*c**3 + 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 297066 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -309*n. Let z(y) = 2*y**2 + 3*y - 182. Give k(z(q)).\nAnswer: -618*q**2 - 927*q + 56238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 2:08 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - c**4 - 9 + 0*c**4 - 7*c**2 - 2*c - 1 to the form t*c**4 + h + f*c**3 + k*c + n*c**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 28*w**2 - 27*w + 69. Let h be n(-29). Solve -94 = h*d - 39 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 10*b - 25. What is the remainder when w(12) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63099?\nAnswer: 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21358, -42654, -63950, -85246, -106542, -127838?\nAnswer: -149134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 681.2911ml to litres.\nAnswer: 0.6812911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 241392, 482799, 724208, 965619?\n\"Answer: j**2 + 241404*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-18) + (-9374)\/2310 - -3. Let n be (-2)\/42*(-2)\/(-11). Let z = o + n. Which is greater: z or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 d, and 2 e when four letters picked without replacement from eeuuuuueuuduyu?\nAnswer: 27\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -50, 119, 686, 1849, 3806?\n\"Answer: 33*d**3 + d**2 - 65*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**8\/1848 + j**7\/77 - 3*j**6\/22 + 9*j**5\/11 - 135*j**4\/44 + 81*j**3\/11 - 8*j**2. Find g such that p(g) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*b + 5492 - 5998 = 11*b for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/4 + 886807*t**3\/4 - 65535185097*t**2 + 6457269164159156*t + 32287984228136080.\nAnswer: -(t - 295604)**3*(t + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37167 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 136*w + 1627. Let b be i(-12). Let k = -1.44 + 0.44. Let s = 1\/2 - 1\/4. What is the second smallest value in s, -0.4, b, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-3) - 6\/(-9))\/1. Suppose p - 1 = -k*p. Suppose q - 5*q - 2 = 5*z, -q = 2*z - p. Solve -y - 3*h - h - 4 = 0, 5*y - z*h = -20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 57*g. Let d(c) = -2 + 2 - 13*c + 4*c. Suppose -8*k = -3*k - 4*r + 37, -4*k - 4*r = 8. Let p(y) = -4*y. Let o(q) = k*p(q) + 2*d(q). Determine o(h(z)).\nAnswer: 114*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2357*x**2 - 21*x + 10. Let l be w(-15). What is l rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-2 + -2 + 2). What is the second derivative of -3 + 260*f**x - 262*f**3 + 3 + 3*f wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 51*n**6\/2 - 59*n**2\/2 - n - 280. Find the second derivative of y(z) wrt z.\nAnswer: 3060*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 e when four letters picked without replacement from bebebbe.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 + -134 - -45 - (0 + (-5 - -9)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -824568?\nAnswer: 5\/824568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 725 = 7*n - 234. What is n rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 7*n**2 - 10*n + 20. Let y be t(8). Suppose -6*z = -2*z - y. Solve d - z = -2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 41.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f**2 - 2*f + 1. Let u be d(1). Suppose -q - 2*q - 64 = -4*j, -u*j = 2*q - 84. Calculate the greatest common divisor of j and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 7996?\nAnswer: 7996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j - 242504 + 39774. Round j to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7201433 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -3. Let z = y + 4. Suppose z*i - 8 = 2. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108744 = -672*m + 696*m. Which is greater: 4533 or m?\nAnswer: 4533","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 85. Suppose 5*v - 150 = -0*v. Calculate the highest common divisor of v and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 c when two letters picked without replacement from {a: 2, c: 1, k: 1, f: 2, y: 1, r: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**2 + 29*z - 4. Let u be w(7). Is 23 - (-7 + u + -1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2075, -4115, -6165, -8225, -10295?\n\"Answer: -5*p**2 - 2025*p - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2895350.\nAnswer: 2, 5, 79, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 1899?\nAnswer: 15192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132452 is divided by 1505.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 - 7*o. Let f be n(5). Let m be 8\/6*(-27)\/(-6). Suppose -a + f = -m. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, m: 5}. Give prob of picking 2 n and 1 m.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/(-12 + 5) + (-4 - (-238)\/17).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 284.6331 * -16\nAnswer: -4554.1296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -2. Let l = 899 + -873. Let t = l - z. Which is bigger: t or 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 11:55 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4233270 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 20. Let n(x) = x**3 - 5*x**2 + 4*x. Let a be n(4). Suppose a = 2*g - g. What are the prime factors of w(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -a - 20, 5*s = -3*a - 0*a. Suppose 3*c + 8 = -s*f - 7, f - 3*c + 25 = 0. What is the remainder when 34 is divided by ((-4)\/f)\/((-1)\/(-30))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*(sqrt(119) + sqrt(119)*3))\/(sqrt(7) + (sqrt(84)\/sqrt(6))\/sqrt(2))*1.\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 270 - 450. Let v = i - -325. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20121212 (base 3) in base 13?\nAnswer: 2276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 3*s**2 + s + 5. Let j be l(3). Let m(b) = -6 + j - 3*b + 2*b**3 - 3. Let t(v) = -8*v**3 + 13*v + 4. Let r = -5 - -3. What is r*t(p) - 9*m(p)?\nAnswer: -2*p**3 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 11*r**2 - 10*r + 25. Let h be n(-12). Solve k - h = 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n - 10*n = -0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -478 and 0.3.\nAnswer: -143.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1129, -1211, -1293, -1375?\n\"Answer: -82*j - 1047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 37*y**2 - 46*y + 4. List the prime factors of f(-25).\nAnswer: 2, 4327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -159*b + 20. Let w(t) = 156*t - 24. Let n(v) = -5*w(v) - 6*z(v). Let q(d) = -d. Give q(n(f)).\nAnswer: -174*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -9*k**2 + 14*k - 5. Let i be m(12). Let v = 590 + i. Let f = v + 7585\/14. Calculate the common denominator of f and 50\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 23 = 13. Let m(z) = -z**3 - 10*z**2 + 11. Let q be m(-8). Let k = q + 119. Solve -f + x - 3 = 0, -f + t = k*f + 3*x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3038\/82 + 2068\/(-42394).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 35\/(-21) - (-2)\/18. Sort 0.4, -2\/23, n in decreasing order.\nAnswer: 0.4, -2\/23, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 227181 or 226617?\nAnswer: 227181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 4048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 180371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 8*v + 13. Suppose -4*f + 11 = 3*j + 1, -f = -j + 1. What is the lowest common multiple of j and s(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 223404 (base 6) to base 13\nAnswer: 880c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*n - 86*n + 190256 = 55*n. Calculate the least common multiple of 132 and n.\nAnswer: 6204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 52.84015 meters?\nAnswer: 52840.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2771 = 257*t + 8794 for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from {g: 2, u: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49322)\/637 + 62)\/((-6)\/(-14)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 6*t - 20 = 0. Solve -t*d - m + 4 = -4, -3*d = -m + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*c - 36*c + 9*c**3)*((c - 2*c - 2*c)*(-2 - 2 + 5) - 3 + 3 + 2*c).\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -63, -84, -103, -120, -135?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -104 + -264555?\nAnswer: -264661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40419, -40420, -40421, -40422, -40423, -40424?\nAnswer: -40425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/1056 and 49\/20064.\nAnswer: 20064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 9. Which is the nearest to -1? (a) -2 (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y + 7*y**2 + 3*y - 4 + 8*y**2 + 11*y**2 in the form z*y + w*y**2 + n and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = w - 84. Suppose w*o - 218*o = -6. What is the least common multiple of o and 6\/4*(-6)\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 113?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.49 - -0.39. Let o be -2*(2 - (1 - 1)). Which is the biggest value? (a) o (b) l (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/450 and 95\/1486554.\nAnswer: 111491550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 0, -1 in decreasing order.\nAnswer: 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*o = -52, 4*z + 5*o - 25 = 59. What is the remainder when z is divided by -3*(14\/(-3) + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + 31*f + 19. Let o(d) = 4*d**2 + 63*d + 38. Let c(n) = 7*a(n) - 3*o(n). What are the prime factors of c(-16)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -38*g**2 - 48*g - 64. Let m(s) = 59*s**2 + 73*s + 97. Let j(u) = 14*i(u) + 9*m(u). Calculate j(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -3*g - 3*n, 251 = -4*n + 271 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1212661 (base 7) to base 5\nAnswer: 14422222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bbbkkb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/8)\/(2\/2). Suppose -h + 2 = -i. Suppose 3*f + 5*p = -15, -5*p - 10 = 4*f + 5. Solve n + h*n = f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-4 + 1 - 1)*(-w**3 + 5*w**3 - w**3).\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -832 less than or equal to 8\/203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 137587203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -68*u + 227. Determine o(9).\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -341*n + 1109. Let l be y(3). Solve -l = -12*c - 14 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6412806, -25651204, -57715194, -102604770, -160319926, -230860656, -314226954, -410418814?\n\"Answer: u**3 - 6412802*u**2 + u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, 4, -1 in descending order.\nAnswer: 70, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 609575?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 31*u**2 - 4*u - 4. Calculate o(-2).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6*j**2 + 117*j - 47. Let r be f(19). Let c be -1 + r\/12 - (-969)\/306. What is the biggest value in 0, -0.3, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4313437643 - 4313437894.9998859. Let g = -163 - 89. Let r = z - g. Round r to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 10:30 PM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 263450 and 17450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1735 + 51078. What are the prime factors of w?\nAnswer: 52813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 424*s - 142549. Determine w(645).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 180835729 to the power of 1\/3, to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6158734*n**3 - n**2 + 44497814 with respect to n.\nAnswer: 18476202*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 18. Let r(l) = l**3 - 13*l**2 + 11*l + 13. Calculate the least common multiple of r(12) and (-8 - o)*2\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-439)\/7 + 4\/(-14). Let r = w - -67. Suppose 0 = r*o - 29 + 13. Solve -h = o*h - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -875 + 1463 - 575 - 11*g**2 + 13*g**2.\nAnswer: 2*g**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22804730 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 36*v**3 + 9*v**2\/2 + 15*v + 60. List the prime factors of f(-2).\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 286 - 196. Suppose -18*x + 15*x = -i. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11082438.999982 - 11082427. Let d = 13 - 1. Let p = d - r. What is p rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 243540, 243699, 243858, 244017?\n\"Answer: 159*y + 243381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*p**2 + 4\/3*p - 1\/3*p**4 + 0 + 5\/3*p**3.\nAnswer: -p*(p - 2)**2*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -10. Let g(j) = 7*j**4 - 6*j**2 + j - 6. Let q(b) = 7*b**4 - 5*b**2 + b - 5. Let t(d) = u*q(d) - 5*g(d). Find the second derivative of t(i) wrt i.\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 r when three letters picked without replacement from {y: 2, r: 11}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -6. Let j = u + 3. Which is the second smallest value? (a) j (b) 0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26214 and 884.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -398343806, -398343807, -398343808, -398343809, -398343810?\nAnswer: -398343811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14659 > 114.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 10\/761?\nAnswer: 10\/761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11957355 and 2185?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-6 - -4) - 1*-411. Suppose -5*m = -u - 1305. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-3*(-6)\/6)\/1. What is the second derivative of -170*z**v - 14*z + 8*z**4 - 7*z**5 - 207*z + 170*z**3 wrt z?\nAnswer: -140*z**3 + 96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59860 divided by 29930?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 141 - 139. Solve 0 = -5*q - 4*l + 2, d*l + 2*l + 4 = -2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56.5 + -53.5. Which is the smallest value? (a) 1 (b) s (c) 416\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.062 and -34.974445?\nAnswer: 32.912445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 5*u + 5. Let p(d) = d - 4. Let n be p(8). Let k be z(n). Let m be 3\/12 - (-15)\/(-28). Which is bigger: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -34*b - 223. Calculate c(-5).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 4*n - 4. Let p be 10 - (270\/15 - 5). Let j(x) = -3*x**2 - 5*x + 4. Give p*j(z) - 4*b(z).\nAnswer: z**2 - z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 360001387 to the nearest integer?\nAnswer: 18974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 169*j**2 + 4*j + 53. Let p(c) = -846*c**2 + 47*c - 264 + 30*c - 148*c + 49*c. Let k(n) = -11*d(n) - 2*p(n). Find the first derivative of k(v) wrt v.\nAnswer: -334*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 3*a**4\/20 - 2*a**3\/3 + 174*a + 1. Factor c(i).\nAnswer: i*(9*i - 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*1*4\/(-6). Suppose -20 = -c - i*c. Suppose 2*w - 330 = -c*b, 2*b + 318 = 2*w - 0*b. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 - 80*n - 178. Determine g(-45).\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*-3*4\/(-48) - 1. Is i >= -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 173*b**3*n**2 + 10*b**3*n - 365*b*n**2 - 8*b wrt b?\nAnswer: 1038*b*n**2 + 60*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6780 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1599 and -0.1?\nAnswer: -159.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*r + 47*r = -18. Put 11, r, 0 in descending order.\nAnswer: 11, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 10*s + 3. Let k = 23 - -41. Suppose -4*d + k + 12 = 0. What are the prime factors of f(d)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521564927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -403124 divided by 164?\nAnswer: -100781\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 102803202*i - 122055202 wrt i?\nAnswer: 102803202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -13*j**2 - 62*j - 1. Let g be p(-5). Let l(v) = v**3 + 15*v**2 - 19*v + 4. Calculate the remainder when 204 is divided by l(g).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) -2\/3 (b) 1.2 (c) 12 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71*s**2 + 3512*s**5 + 70*s**2 - 3467*s**5 wrt s.\nAnswer: 2700*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = s + 7, -4*v + 3*s = -9*v + 23. Let t(f) be the second derivative of 1\/120*f**5 + 0 + 0*f**v + 0*f**3 + 0*f**2 + 3*f. Factor t(q).\nAnswer: q**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, b: 2, c: 1}. Give prob of sequence xxxx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25210198, 25210193, 25210184, 25210171, 25210154, 25210133, 25210108?\n\"Answer: -2*m**2 + m + 25210199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 6 + 8 + v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 1 = -q, -4*o - 16 = -4*q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -m**5\/5 - 46*m**4\/3 - 1144*m**3\/3 - 1936*m**2 + 2*m + 73. Solve j(i) = 0.\nAnswer: -22, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26011 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6324, -6298, -6244, -6156, -6028, -5854, -5628, -5344?\n\"Answer: y**3 + 8*y**2 - 5*y - 6328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 173322720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28991, -26556, -24121, -21686, -19251, -16816?\nAnswer: -14381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/95 - 625\/(-380) - 2. Which is the third smallest value? (a) -62\/9 (b) 0 (c) 4 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -17. Suppose 5*p = r*w - 11, -2 = -2*w + p - 11. Sort 2, -2, w, -3 in decreasing order.\nAnswer: 2, -2, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*q**3 - 39*q - 29*q**3 + 38*q)*(-2*q**2 + q**2 - q**2).\nAnswer: 46*q**5 + 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 47.5194739 and 0.3.\nAnswer: 14.25584217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -2605 and -2607 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 624.7205 years?\nAnswer: 62.47205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/1337238 and 131\/252.\nAnswer: 2674476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 - 2*c**2 + 18*c**2 + 17*c**2.\nAnswer: 37*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -16421766?\nAnswer: -16421762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/5)*l**(3\/5)*(l\/(l\/(l*l**0\/l)*l))**(4\/11))**(-28) assuming l is positive.\nAnswer: l**(868\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2072.7 - 2073. Let n = 56 + 0. Which is the fourth smallest value? (a) n (b) h (c) 2 (d) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*440\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -3\/4, 2, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2044839909 to the power of 1\/2, to the nearest integer?\nAnswer: 45220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 5*l + 14. Suppose 0 = -2*s + 3 + 5. Suppose 0 = -2*z + s*i + 30, 5*z + 2*i - i = 31. Calculate the least common multiple of z and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 12 = i + i, -5*s - 2*i = -12. Suppose -9 - 3 = -s*y, -2*y = -3*a + 12. Solve 0 = -4*w + 6 + a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*v + 5, -2*v = v - 4*d - 7. Let x(o) = 10*o**2 - 3*o - 4. Let m(q) = 10*q**2 - 2*q - 3. Let n(g) = -3*m(g) + 2*x(g). Give n(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nggggnggggng. Give prob of picking 3 g and 1 n.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 21806078?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/2)\/(4227\/48). Let c = -170201\/16908 + n. Calculate the common denominator of c and -97\/34.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2221662mg in tonnes?\nAnswer: 0.0000000002221662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**2 - 3*x**2 - 4*x**2)*(-x - 4*x + 3*x)*(0 - 2 - 3).\nAnswer: -30*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2. Let u be ((-12)\/(-10))\/((-2)\/10). Let g be 6\/(-4)*8\/u. Let k(j) = 0*j**2 - 2 + 2 + 3*j**g. Calculate w(k(z)).\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 - 2*n**2 - 3*n**2)*(-n**2 - 3*n**2 + 6*n**2) + 3*n**3 + 2*n**4 - 3*n**3 + (n**3 + n**3 + 0*n**3)*(5*n + 0*n - 3*n) - 9*n**4 + 5*n**4 - 5*n**4.\nAnswer: -7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*a = -3*a + 9, -5*w = -5*a + 25. Let h(k) = -405*k - 13. Let v be h(w). Let s = v - 166. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f. Let z(n) = -7 - 1 + 0 + 10 - 2*n + 1. Calculate x(z(w)).\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 - 10*g + 12. Let c(d) = -7*d**2 + 21*d - 25. Let l(p) = 2*c(p) + 5*o(p). Calculate the least common multiple of l(8) and 2\/(-4) - 17\/(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyppyfp. Give prob of sequence yfyy.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -876 by -12.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 112 or 1\/26?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1223 is divided by 92?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1144187?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h. Let k(b) be the first derivative of -b**2\/2 - 132*b + 3200. Determine k(w(q)).\nAnswer: -4*q - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 318820?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 17. Suppose -5*d - o = -138. Let q = d - 20. Solve q*z + 5*k = 37, 0 = -2*z + 2*k - 1 - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -16. Suppose 0*s = -4*s + u. Suppose -3*l = -3*v - 2*v - 25, s*v = 4*l - 52. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 2*v - v)*(19 + 6 - 3).\nAnswer: -44*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*248546\nAnswer: 99418.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6419*j - 115598 = -8165*j + 55510 for j.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + -290008)*1*-1*1. Suppose -z + r = 5*h, -z = 3*h + 2*z - 174015. Round h to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/15 + 194*l\/15 - 364\/5.\nAnswer: -2*(l - 91)*(l - 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = n + 10. Suppose 44 = n*x - 16. Let t(v) = -5*v**2 - 2*v - 6. Let s(j) = 6*j**2 + 2*j + 7. Calculate x*s(u) + 7*t(u).\nAnswer: u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25.7 - 25.5. What is the smallest value in h, -5\/7, 4\/7?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/15)\/(10\/25).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*q - 65*q + 217 = 0. What is the highest common divisor of 2513 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -134597 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -755.\nAnswer: -755, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**3 - 5*c**3 + 3*c**2 - 13*c - 3*c**2.\nAnswer: 2*c**3 - 13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1491*y - 13187 - 12066 = -177*y + 10225 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 + -26. What is the remainder when 23 is divided by -7*(2 + d\/(-7))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -1\/303, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 332687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4*w**2 - 6132716*w + 6132720 = 0.\nAnswer: -1533180, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-21) + 10*(-25960)\/(-800)*(-4)\/(-14)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 512*t + 1028. Let b be s(-2). Factor b + 2\/13*j**2 - 6\/13*j.\nAnswer: 2*j*(j - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.06 - -0.46. Let k = g - -3.25. Let x = -0.3479 - k. What is x rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 4:28 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38a7767 (base 11) in base 3?\nAnswer: 110201102121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -9*k - 2. Let q be (-25)\/5*(1 + 0). Let z(w) be the second derivative of 2*w**3\/3 + w**2\/2 + 4*w. Calculate q*z(c) - 2*h(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 267*o - 272*o, -3*z - 4*o - 15 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -53279, -2, 4, 3, -4 in increasing order.\nAnswer: -53279, -4, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34000?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-116 + 27 - 6 - 95 - 91)*(n + 8*n - 3*n) in the form g*n + o and give g.\nAnswer: -1686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2. Let x be l(-2). Let v = 5 + x. Let f be (-1 - 1 - -18)\/v. Solve 4*b = -4*t + f, 2*t - 3*b + 4 = b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*p**5 + 224 - 2848\/3*p + 134*p**4 + 1392*p**2 - 2384\/3*p**3 = 0. What is p?\nAnswer: 2\/3, 1, 6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.38 in 3\/4, 5.5, -678, 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 14*k - 16, 4*k - 4*l - 76 = -52 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 313*k + 376. Determine j(3).\nAnswer: 1315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2291732 is divided by 2249?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*g**5 - 776210*g**3 + 2*g**2 + 8306060 wrt g.\nAnswer: -540*g**2 - 4657260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 33642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 15 = 8*x - 7*x, -10 = -4*x + 5*n for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 931867190 and 2130.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 18. Suppose 0 = -5*g - 25, -g = -4*l - 0*g + 17. Let s = c + l. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**3\/3 + 5*t**2\/2 - 2*t + 1. Let z = -9 + -9. Let v be -2*(z\/(-4) - 2). Give s(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43 - -6?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -10*j + 16 - 9*j + 16*j - 9*j. Let f be z(1). Solve -a + 6 = -3*a, -f*i - 1 = -a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 141*x + 1535. Calculate b(12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**28*o))**(30\/7)\/((o*o\/(o\/(o**(2\/27)\/o)))\/o**(-3\/35)))**(-2\/99) assuming o is positive.\nAnswer: o**(227102\/93555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 879*v - 880*v = 2, 11*v = 2*s - 46 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 9*s + 3018. What is the least common multiple of j(-146) and 1278?\nAnswer: 5112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -5.9. Let n = 10 - 10.9. Let l = n - b. What is the third smallest value in l, 2, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -1478, -2\/3, 4 in ascending order.\nAnswer: -1478, -2\/3, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5322 + -11?\nAnswer: 5311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/13 - 4*l\/13 - 96\/13.\nAnswer: 2*(l - 8)*(l + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**4\/12 - y**2 - 2*y - 2. Let m(p) be the first derivative of a(p). What is the first derivative of m(g) wrt g?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 418276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jnssjjnstjd.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 - 47. Let b be (10\/c)\/((-4)\/(-16)). Is b greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1838 = -2770. Let o be ((-5000)\/3)\/(4\/s). Round o to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 247, 498, 753, 1012, 1275?\nAnswer: 1542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87619.88 meters to centimeters.\nAnswer: 8761988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5437037 is divided by 2128?\nAnswer: 2125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*f**2 - 149*f**2 - 44*f**2 - 361*f**2.\nAnswer: -602*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 72637*f**2 - f + 19. Let c(g) = -53*g**2. What is v(c(a))?\nAnswer: 204037333*a**4 + 53*a**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in 6\/11, 0.1, 168, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/x**4)**(-34))**(-7\/6))**(-25))**(-2\/45) assuming x is positive.\nAnswer: x**(-1190\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2009*r**3 - 2535?\nAnswer: -6027*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -8\/217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -385 in -2, 0, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 27054*l**2 - 26*l - 27. Suppose 5*o - 2*b = -15, -9*o + 7*o = -2*b + 12. Is a(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 0) + -1 - 0. Suppose -8 = x + 4. Let r be (-14)\/x + (3 - 4). Is d bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 468*i + 4980.\nAnswer: -3*(i - 10)*(i + 166)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -18\/17*q + 2\/17*q**5 - 12\/17*q**4 + 4\/17*q**2 + 16\/17*q**3 + 8\/17 = 0. Calculate q.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175855187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 53*y + 623. Calculate the remainder when 544 is divided by u(15).\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k - 124 = -n, -72440*n = -5*k - 72444*n + 66 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/10)*f)\/f*f**2)\/(f**(-3)*f)**(-25) assuming f is positive.\nAnswer: f**(-479\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, -239 in ascending order.\nAnswer: -239, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 225046 or 225566?\nAnswer: 225566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 7:26 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.33 - 4.07. Let p = -45266 + 45270.4138. Let a = p + k. Round a to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 4590?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 9. Let r(s) be the third derivative of 0 + t*s**5 + 0*s**4 + 0*s**3 - s**2 + 0*s - 1\/84*s**8 - 1\/120*s**6 + 2\/105*s**7. Find g such that r(g) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**3 - p**2. Let a be (-2 + 2 - -1) + -23 + 24. Let h(y) = -y**3 - y**2. Give a*l(q) - 5*h(q).\nAnswer: -q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffi when three letters picked without replacement from {f: 10, i: 4}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23100 (base 7) to base 2.\nAnswer: -1011011111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*v + 4 = -210*v - 5*o, -11*o = 5*v - 104. Put v, 8, 4, -19 in increasing order.\nAnswer: -19, 4, 8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmfffmmfklffmkkfkl. Give prob of picking 3 f.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 1680.\nAnswer: 1684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*-2*sqrt(152))\/(sqrt(14)\/(sqrt(56)\/(sqrt(24)\/sqrt(3) + sqrt(8)))).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 - -72. What is the closest to 2 in -0.3, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28729 + 28728.9. Which is smaller: -0.01561 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -80 (b) -0.1 (c) -2\/5 (d) -3\/2711 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 6*t - 8. Let z be a(-5). Let p be (z*1 - 0)*(71 + -72). Suppose 0 = -4*o - 20, -3 = -3*f - 3*o. Solve 3*g = f*g - p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0246401 rounded to three dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-30))\/(4\/8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**2. Let c(h) = -4394506*h. Give c(r(i)).\nAnswer: -17578024*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222 = -11*k + 156 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 35*s**3 - 6*s**2 - 2627*s - 6. Let f(y) = -99*y**3 + 17*y**2 + 7881*y + 17. What is 17*d(v) + 6*f(v)?\nAnswer: v**3 + 2627*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 0.2 (c) 9 (d) -0.5 (e) -86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 21 * -14.32\nAnswer: -300.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z**3 + 4*z**3 + 4*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.74648 and -111893.\nAnswer: -111896.74648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7)\/2)\/(3\/(-6)). Let u(n) = n - 3. Determine u(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86024 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*o**2 + 13*o**2 - 31*o**2)*(2 - 3 + 2 + (4 + 2 - 4)*(2 - 3 + 2)).\nAnswer: -252*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 - 8*w + 45 - 2*w + 5*w + 0*w.\nAnswer: -5*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 7 + 4 = -5*v, -p + 6 = 4*v. Put 3\/7, -0.3, 0.3, 7, p in descending order.\nAnswer: 7, p, 3\/7, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (0 - 1) + (0 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7757*n**3*w**2 + 6*n**3*w - 13*n**3 + 4*n**2*w + 2*n*w wrt w.\nAnswer: -15514*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.7 times 0.4?\nAnswer: -29.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4425 divide 1112471550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 175*a**2 + 18*a - 9. List the prime factors of m(4).\nAnswer: 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 6*y - 230. Calculate the lowest common multiple of 14 and y.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2779 + 3163. Is 0 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {a: 2, d: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -513 + 484 + (19 - 1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -141 and 0.4?\nAnswer: -56.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -9, -316349?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 165\/(-100)*24*((-78)\/(-6))\/(-117).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37087\/1158194 - 39\/2423. Find the common denominator of -119\/18 and r.\nAnswer: 4302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 12*j - 4*j - 2*j**2)*(5 - 4 - 2).\nAnswer: 2*j**2 + 16*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2. Let h = -3 + -2. Let s be -5*h\/(50\/4). Let n(b) = b - b - s*b. What is v(n(x))?\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -506570*m + 13*m**3 + 506570*m + 12*m**3.\nAnswer: 25*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5*k**2 + 12 - 7*k**2.\nAnswer: -2*k**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1306, -1151, -892, -529, -62, 509, 1184?\nAnswer: 1963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 5*f**2 + 0*f**3 - 2*f - 2*f - 3. Let j(t) = -t**2 - 8*t + 15. Let x be j(-7). Let u = 19 - x. What is h(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 84?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 636556 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-294)\/(-56)*8*(-4)\/(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7901.11 - -7901. What is the closest to 0.09 in 1, -3\/2, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -1522*q**2. Let n(f) = 6129*f**2. Give d(n(b)).\nAnswer: -57173383602*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = d + 928071. Suppose 0 = j + s - 34950, 2*s + 1756 = 3*j - d. Suppose -13*x - 8006 = -j. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/1345 and -41\/395.\nAnswer: 106255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 22*c + 21. Suppose -5*z + 51 - 18 = -3*y, -y + 5 = z. Let n(s) = -22*s - 21. Let w(v) = z*m(v) + 5*n(v). What is the derivative of w(k) wrt k?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {p: 1, a: 11, k: 7}.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6290, 6996, 7708, 8426, 9150?\n\"Answer: 3*w**2 + 697*w + 5590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -30947.92 and -10.\nAnswer: -30957.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/8)*g*g**(-7))**(4\/13)\/(((g*g**7\/g)\/(g*g**(1\/5)))\/((g**3\/g*g)\/g**(5\/3))) assuming g is positive.\nAnswer: g**(-2417\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 4\/7, 2\/7, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 4*t + 3. Suppose -g + 1 = 5. Let o be r(g). Let m(u) = 14*u - 3. Is 15 a factor of m(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -257 - -260. Solve h + 5 = -0*h, 0 = -v*t - 5*h - 31 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**2 - 5*r**2 - r**2)*(2*r + 0 + 0) - 2*r**3 + r**2 - r**2 + 5*r**3 + r**3 - 4*r**3 + 2351*r**3 - 614*r + 1314*r - 700*r.\nAnswer: 2349*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4573, 4514, 4455, 4396, 4337, 4278?\n\"Answer: -59*p + 4632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/39 - (-232224)\/1248 is divided by 65.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32050459 to the nearest integer?\nAnswer: 5661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.957 - 2. Let a = -61997 - -61997.5. What is the third biggest value in a, 2\/5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -174.72?\nAnswer: 17.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 294673 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-3)*((-50592)\/238)\/(-24).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 29. Let o = 189 + -184. What is the closest to y in 2, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12486200.\nAnswer: 2, 5, 149, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -27 (c) 1\/4 (d) -4 (e) 4781 (f) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -176363308*m*s**3 - 168389167*m*s wrt s?\nAnswer: -1058179848*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49201867 to the power of 1\/4, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2623 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3677271, 7354436, 11031601, 14708766?\nAnswer: 18385931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 0 + 2*v**2 + 0. Let a(z) be the third derivative of 0*z**4 + 0*z + 0*z**3 + 0 - 9*z**2 - 1\/15*z**5. Give a(b(k)).\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, -1, -3, -15, 3 in increasing order.\nAnswer: -98, -15, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 13011 = 9*g + 12933, -5*s - 30 = -5*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**5 - 235*r**4 + 220*r**3 + 20260*r**2 - 39600*r = 0. What is r?\nAnswer: -9, 0, 2, 10, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13113377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 34. Suppose s*u - 7*u = -14*u. Suppose 4*y = 5*q + 42, u = -q - 3*y + 7*y - 2. Put 2, 0, 5, q in descending order.\nAnswer: 5, 2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 2*h**3\/3 - h**2 + 3*h. Calculate the lowest common multiple of 10 and j(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 - (-195)\/15.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5773964 divided by -5773964.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1601 - -d0?\nAnswer: -1511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9bab8 (base 12) in base 15?\nAnswer: -415e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 8, f: 2}. What is prob of sequence fxfx?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 12 = -5*a, 71166*a - 35584*a - 6 = 35578*a - 0*q + 5*q for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-80)*5)\/(39\/(-4))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3534*f**3*y**2 + 2*f**3*y - 141*f**3 + 2*f**2*y**2 + 1433*f**2 - 11*f*y**2 + f - 3*y**2 wrt f?\nAnswer: -21204*y**2 + 12*y - 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - i = -21, 28*i - 50*i = 5*w - 21*i - 25 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 639264167 to the nearest integer?\nAnswer: 25284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 + 0.03. Let f = 0.9 + u. Which is smaller: f or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a hour in minutes?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 9:41 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.944987 rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2649 = 335*s - 701 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 7) to base 3.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6002.567 centimeters in kilometers?\nAnswer: 0.06002567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.01 - -3.01. Let o = k - 4. Let g = o + 0.8. Which is bigger: 2\/3 or g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by (-2)\/(-6) + 289\/51?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (268\/402)\/((20\/(-990))\/((-4)\/3))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -3c9?\nAnswer: -3c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 99? (a) 1\/4 (b) 2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1399 in 0, 2, 1\/5, 0.329?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2104507 is divided by 192?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20277 by 3.\nAnswer: -6759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 35 = 2*s - 2*y, y = -5*s - 35. Let z = -599 + 2373\/4. Which is smaller: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102112021022 (base 3) to base 11\nAnswer: -145538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g + 14. Let q = 30 + g. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -7. Let p be (-2)\/(-8) - i - 11\/(-4). Suppose -130 = -p*f - 0*u + 2*u, 177 = 4*f + u. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3781849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3*sqrt(66)\/(sqrt(24)\/sqrt(4) + sqrt(6) + sqrt(6) + sqrt(6) - sqrt(6)) + 2) + 4)**2.\nAnswer: -32*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41673013?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -45, 2, 89 in ascending order.\nAnswer: -45, 2, 5, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkqqqqkqqkqkk. What is prob of picking 4 q?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b. Let v(g) be the first derivative of 2407*g**2\/2 - 7088. What is v(y(r))?\nAnswer: 14442*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18575 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - h**2 + 2*h**2)*((-1 + 3 - 4)*(0 - 2*h**2 + 0) - 2*h**2 + h**2 + 0*h**2).\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q. Let a(l) = l + 297. Determine p(a(b)).\nAnswer: b + 297","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - j = 10, 3*f - 5*j = 7*f - 40. Is f smaller than 112\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 55, 56?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrcrrrrrrrrr. What is prob of picking 3 r and 1 c?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 422502488 to the nearest integer?\nAnswer: 20555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - t**2 + 1. Let z(x) = x**3 + 9*x**2 + 14*x + 7. Let h(o) = u(o) - z(o). Solve h(s) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4870 is divided by 53.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*l**4 - 4961*l**2*n**2 - 2*n**2 + 5*n + 30743 with respect to l.\nAnswer: 196*l**3 - 9922*l*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -h**6\/420 + 23*h**5\/210 + h**2 - 203*h. Find b such that p(b) = 0.\nAnswer: 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n\/n**(-1\/4))\/n)\/n)\/n)**(-7\/6))**42 assuming n is positive.\nAnswer: n**(343\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/4, 0.2, -23, 5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8399 is divided by 631.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/23710 > 4\/1063?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 41 + 8*z**2 - 6*z**2 + 10*z - 32 to o + c*z**2 + q*z and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112926 and 26727?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(-4) - (2 + 3)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -34?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 14*x - 10. Let i(t) = -2*t**2 - 14*t + 11. Let y(b) = 2*i(b) + 3*w(b). Suppose -3*a + 25 = -11. What is the units digit of y(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**6\/120 - 3*v**3 - 4. Let b(x) be the third derivative of a(x). Let u(c) = 6*c. Calculate b(u(w)).\nAnswer: -108*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -6852?\nAnswer: -6851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmm when three letters picked without replacement from mbcyncbbebmcbyy?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 331291 less than or equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 2:42 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.35 and -3897.\nAnswer: 1363.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 9) in base 15?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1263.067 to zero dps.\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1841813 is divided by 306954?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**3 - a - 4. Let l(y) be the third derivative of y**6\/720 - y**5\/6 + 3*y**2. Let o(p) be the third derivative of l(p). Give -g(n) - 4*o(n).\nAnswer: 2*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u\/(u**(-8)\/u))\/u)\/(u**4\/u)*u**(-12\/13)*u*u*u\/(u\/(u*u**17*u))*u assuming u is positive.\nAnswer: u**(391\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 163 - 22 = 0. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2, 1, -2, -0.3, -0.47404?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001105138 rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 510967*n*t**2 - 2*n*t - 69530*n wrt t?\nAnswer: 1021934*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4) - (-10)\/4. Suppose -3*a + 5*i = 15, 2*a - j*i = -a - 6. Let t be -2 - -12 - 9\/3. Solve a = o - 3, -l - 7 - t = -5*o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -132694 or -3848087\/29?\nAnswer: -3848087\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**5\/5 - 6672*i**4 - 1427216*i**3\/5 - 1093656*i**2\/5 + 12845268*i\/5 + 12545064\/5 = 0. What is i?\nAnswer: -8297, -42, -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 66*a. Let h = -16 - -19. Let d be 1 - (-1 + (7 - h)). Let j(m) = -5*m. What is d*r(x) - 27*j(x)?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-7)\/(1575\/(-24))*2106\/(-2808))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 7 + 901 + -922.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**3\/5 - 544*a**2\/5 + 564*a = 0. Calculate a.\nAnswer: -141, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 4*h - 2*h**2 + h.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 m when three letters picked without replacement from mdrdm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-74)\/2 - (-1818786)\/49113)\/((-5)\/(-6))\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/7)*b**(-4\/13))\/(b*b**(-4\/11)*b**11*b) assuming b is positive.\nAnswer: b**(-12528\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -3, 5, -0.0443 in ascending order.\nAnswer: -3, -0.0443, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*x - 1261 + 1583 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 + 3*g**3 - 4*g**3)*((-1 + 2 + 2)*(-3 + 8 - 1) - 2 + 4 - 1) - g**3 + 0*g + 0*g.\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 267\/6*20*(-1027)\/(-65). Round a to the nearest one hundred.\nAnswer: 14100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 163? (a) 8\/5 (b) 3\/5 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13211 + 18757. Suppose 0 = -16*f + k - 202. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 11*d - 114. Let m be y(22). Which is smaller: 127 or m?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 127170 and 15.\nAnswer: 127170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*s**5 + s - 2?\nAnswer: -720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - (3 + -7))\/(2\/12). Let v(o) = o + 1 + 0 + 0*o. Calculate v(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {h: 6, o: 3, e: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 5, 4, 3, -1 in decreasing order.\nAnswer: 34, 5, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1570 + -100042.\nAnswer: -98472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 x when three letters picked without replacement from qxxxxqx?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 11*x - 12*x - 278, 3*x = 3. Suppose -o + 735 = 8*f. What is the remainder when 454 is divided by f?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973462?\nAnswer: 2, 7, 31, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1655 - -1692. Calculate the remainder when 183 is divided by a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -538 + 904. Let s = 615 - q. Let m = s + 854. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 165650 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*i - 2. Let c(v) = -2*v**3 + 8*v + 4. Let a be c(i). Suppose -a*n + 5*p - 208 = 0, -3*n + 4*p - 198 + 42 = 0. Which is greater: -51 or n?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l = -9*l - 15. Suppose 5 - 1 = -t. Let w be (-8)\/(-1) - (2 + t). What is the greatest common factor of l and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**4 + 1584*l**3 + 225957*l**2 + 3267594*l - 11878920 = 0.\nAnswer: -102, -20, 3, 647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 1:45 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2484)\/598*(-104)\/(-16)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0417449*-0.05\nAnswer: 0.002087245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1017 - 1007. Solve 8*v = x*v - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11119 and 8?\nAnswer: 88952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/3 and 26\/223863.\nAnswer: 223863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from sss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 246*w + 796*w + 52*w + 239*w - 177*w to x*w + i and give x.\nAnswer: 1156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 29 = -n, 3 = 5*n - 2*n - 3*j. Let v be (-8)\/12*(-3)\/n*-236. Is 8 a factor of v + (-4)\/(0 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 183 = 50*a + 294 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 6*i + 56. Let g(k) = -k + 10 + 6*k - 5. List the prime factors of g(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 x, and 1 k when three letters picked without replacement from {x: 1, k: 1, y: 1, u: 5, b: 1}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 1. Let h be c(10). Suppose 0 = -3*y - h + 108. Let s = 51 - y. Solve 3*w - 13 = 5*d + 3, -4*w + s = -5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110\/7 - -16. Let o = -942497\/16 - -58906. Sort v, o, -0.3 in decreasing order.\nAnswer: v, o, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 + 7828*n**2 - 15555*n**2 + 7727*n**2.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6885443173.\nAnswer: 7, 17, 313, 184859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*g*m**2 + 5287*g + 29340*m**2 - 185*m wrt m?\nAnswer: 22*g + 58680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-47 - (-10 + 15 + -1 + 12))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2 - 2. Let l(k) be the first derivative of -k**4\/4 + k**3\/3 - k**2\/2 + k - 1. Let y be l(1). Sort z, 4, y in descending order.\nAnswer: 4, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*3)\/((-24)\/(-16)). Suppose w = d + d. Let t = d - -7. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in years?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00048528577 rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = -8*t - 12 - 100 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, q: 3, k: 4, v: 3}. What is prob of picking 2 k and 2 v?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -1 - 10. Let v(m) = -m**2 - 6*m + 8. Let w(x) = -x**3 - 10*x**2 + 12*x + 6. Let p be w(-11). What is the smallest common multiple of v(p) and b?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 8*j - 2*j. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**2 + 28*o + 141. What is q(-8)?\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568 <= -92.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -237 - 72 + 518 + t to the form u*t + j and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 1\/2, 1\/30.\nAnswer: -2\/5, 1\/30, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -29\/3. Suppose -a + 15*a = -6*a - 2*a. What is the nearest to a in 1, m, -3, 40?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + -1 + 2 - (1 + sqrt(539)*2 + sqrt(539) - sqrt(539)))**2 + (4 + sqrt(539) + -1)*3 + -2 + -2.\nAnswer: 21*sqrt(11) + 544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 + 47. Let g(n) = 17*n - 2. List the prime factors of g(m).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7994, 7984, 7952, 7886, 7774, 7604, 7364?\n\"Answer: -2*b**3 + b**2 + b + 7994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 214, 305, 394, 481, 566?\nAnswer: 649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -3 + 0 + 3. Suppose x*r + 8 = r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 136*f**2. Let h(s) = -28*s**2 + 11*s - 22. Let c(b) = -5*b**2 + 2*b - 4. Let q(a) = 11*c(a) - 2*h(a). What is i(q(d))?\nAnswer: 136*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/((-3)\/(-30)). Let n be (w\/(-6))\/((-25)\/(-45)). Let h be 10\/8*(-6)\/(-10). Which is the closest to -0.1? (a) 2 (b) h (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 22. Suppose -h + 6 + o = 0. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -93829 = -93818?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**5 + 300*u**3 - 300*u**3 - 28*u**2 wrt u.\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - l - 28 = -4*a - 14, -12*l - 33 = 27 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, -65, -142, -249, -386, -553, -750?\nAnswer: -977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = m - 9. Let a = 22 - m. Is 17 a factor of (63\/2 + a)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f**39*f)\/f)*f)\/(f**(-4\/3)\/f)*(f**(-35)\/f*f)\/(f**27\/f) assuming f is positive.\nAnswer: f**(-287\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 2*x + 2*x)*(-1 + 1 + 2*x) + 0*x**2 - x**2 - x**2 + (1 - 1 - 3)*(-5*x**2 + 4*x**2 - x**2) - 4 - x - x**2 + 4.\nAnswer: x**2 - x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**3 + 266270*j**2 - 52908528*j = 0.\nAnswer: 0, 199, 132936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 120208 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 11*a**2 + 1. Let s(n) = n**3 - 34*n**2 - 31*n - 115. Let l be s(35). Let i be 22\/(-10)*l\/20*-4. Calculate z(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 105 = -774. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*h = 64*h + 552. Suppose h*z - 84*z = 528. What is the remainder when z is divided by 56?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 510 (b) 209 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -33*t - 194. Give q(-8).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(1\/66*-3)*-1. What is the third biggest value in t, 0.05, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003769733 to seven dps.\nAnswer: 0.0000377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(25 - (-741)\/(-26))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52140.5 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -6*h + 3*z - 6, 5*z + 172 - 122 = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (-14 - 4) - (12 + 1 + -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-12)*-3*(3 - 1). Suppose -3*i + m*f + 6 = -2*i, -3*i + 42 = -f. Calculate the smallest common multiple of 30 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yppcykykyypkkcys. Give prob of sequence cp.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 9*j**2. Let b(d) = -24*d. Let q(p) = -97*p - 62. Let i(v) = -4*b(v) + q(v). Give s(i(z)).\nAnswer: 9*z**2 + 1116*z + 34596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 - w + 1. Let p(u) = u**3 - 2*u**2 - 17*u - 2. Let b(d) = 6*f(d) - p(d). What is b(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -1) + 3\/(((-54)\/28)\/9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25751913 divided by -87?\nAnswer: -295999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**3 + 0*s**3 + 0*s**3)*(-125*s - 42*s - 88*s)*(-3 + 0 - 3) as p*s + b*s**4 + i + h*s**3 + d*s**2 and give b.\nAnswer: 1530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*i - i. What is the remainder when 11 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w + 15. Let x be m(-8). Is 10\/33 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p - 152 = -4*p + 9*p for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 3a060?\nAnswer: -3a056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 y, 1 u, and 1 x when four letters picked without replacement from uuylyuruvluxy.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 251046377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -0*c - 5*c - 4*j, 4*j + 11 = -c. Suppose -2*g = -0*g - 6. Solve 2*r + c = -g for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6153328 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -330.\nAnswer: -4\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 281046 and 930?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**7\/560 + s**6\/120 - s**5\/80 - s**4\/8 + s**3\/3 + 6*s**2. Let b(w) be the first derivative of x(w). Factor b(m).\nAnswer: 3*(m - 1)*(m + 1)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2852*p = -2401*p + 13530 for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.315 - -0.515. What is the closest to -1 in x, -2\/3, 12?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5603 at least 812412\/145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7084 - -7377. What is the remainder when o is divided by 160?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-33)\/(-693)*10*-1?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + -5*(-1 + sqrt(833) + (sqrt(833) + (sqrt(833) - (-3 + sqrt(833) + sqrt(833))) - sqrt(833))**2 - ((sqrt(833) + 3)*-1)**2)*6).\nAnswer: -2310*sqrt(17) - 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1475 is divided by 301?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 12:20 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -200*g + 0*g**4 - g**3 - 9*g**4 + 160 + 60*g**2 + 11*g**3 + 4*g**4 = 0?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -685 - 92*b**2 + 685 + 91*b**2. Let k(m) = 72*m**2. What is 2*k(l) + 180*r(l)?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaba when four letters picked without replacement from ababaa.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a. Let o(n) = -2*n + 1615. Calculate y(o(j)).\nAnswer: -4*j + 3230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**2 - u - 12. Let g(r) = -1608*r**2 + r + 6241. Let z(h) = g(h) + k(h). Differentiate z(p) wrt p.\nAnswer: -3222*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5138872 and 2.78.\nAnswer: 5138874.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 12*m + 740. Let a be x(-42). Is a at most as big as 232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 25 = -5*w, 20 = -3*w - w + 3*s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llwwlytl. Give prob of picking 1 l, 1 w, and 1 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -3. Suppose 0 = 2*x - 6 - 0. Suppose x*n + 3*i = 3, o*n + 3*i = 6*i + 37. Put -1, 3, n in increasing order.\nAnswer: -1, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6583 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 25. Calculate the remainder when 23 is divided by m(-13).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - y + 1. Let c(i) = -6*i + 4*i**3 - 5 + 5 + 7. Let d(o) = c(o) - 6*n(o). What is the first derivative of d(p) wrt p?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*(-13505)\/(-10804)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 1 + p + 0*p**2 + 0*p**2 + p**3 - 3*p**2. Let c be v(3). What is the units digit of c - (3\/(-1) + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2477*v**2 + 15*v - 22*v + 2478*v**2 + 31. Calculate h(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14902 or 14998?\nAnswer: 14902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/4)\/((-1)\/2). Suppose 4*u = -20 + 4. Let f = m - u. Solve 3*t - 7 + f = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - 0 - 73) + (5 - -15).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -12169, 17, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d*n*s + 13484*d*n + d*s + 2*d - 252*n*s - 2*n + 5*s wrt d?\nAnswer: -2*n*s + 13484*n + s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2 + 18*f - 104 = 0 for f.\nAnswer: -13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 8*a + 1070. Let c be m(0). What are the prime factors of ((-58)\/145)\/((-2)\/c)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 3. Let a be p(0). Let t(o) = -2*o**a - 2*o**3 + 4 + 3*o**3. Let i(d) = d**3 - 3. Calculate 4*i(u) + 3*t(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1269 + -2869. Let w = 2566 + c. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-69) + ((-9296)\/(-1610))\/2 + -4.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-36504)\/(-30))\/(6\/45). Suppose 16000 = -2*z - 4*k, -2*z - x - 6874 = -k. What is z rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.247626 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3*((-1*sqrt(170) - sqrt(170)) + sqrt(170) + sqrt(170)))\/sqrt(10) - ((sqrt(204)\/sqrt(192) - sqrt(17)) + sqrt(187)\/(sqrt(22)\/sqrt(2))))**2.\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or -444?\nAnswer: -444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 12:11 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1224 divided by -4.\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 9*k - 2*i, -3*k = 12*i - 11*i + 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 + 119*w - 118.\nAnswer: -(w - 118)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/10457319 and 97\/1119782.\nAnswer: 648353778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.751? (a) -2 (b) 3\/2 (c) 0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 < 12183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -4558018?\nAnswer: -4558018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from hwwyhhmyyw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -270.5 in -0.4, 1\/2, -643?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 7:27 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = 13*q + 11*q. Let x = -3 - -10. What is the lowest common multiple of x and q\/(-2)*18\/(-12)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*17548.3.\nAnswer: 7019.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.18884ug to grams.\nAnswer: 0.00007718884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 5*y - 1 + 162, q + 82 = 3*y. Is -74 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*3\/18)\/((-4)\/(-12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 3*k = 16, -i - 5*k - 4 = -2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3602.334 weeks in hours?\nAnswer: 605192.112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.954 - 12. Let w = -2773 - -2773.04274. Let f = w + k. Round f to four dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -681*t + 1. Let o(k) = -454*k + 1. What is -7*o(z) + 5*x(z)?\nAnswer: -227*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*s*s*s*s\/s**(-2\/15)*s**(-2\/5)*s**2)\/((s**(2\/5)*s**(3\/8)*s)\/(s**0*s**6\/s)) assuming s is positive.\nAnswer: s**(119\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/7 + 1230864400*v\/7 + 189378396398420000\/7.\nAnswer: 2*(v + 307716100)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2797, 13411, 31109, 55897, 87781?\nAnswer: 126767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11419742 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3807203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656511 is divided by 218834.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4ce2 + -4d?\nAnswer: 4c95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 18468 = 4*u, 4*u - 3*q = 11688 + 6731. What is the lowest common multiple of u and 4610?\nAnswer: 4610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, r: 1, k: 1, u: 1, i: 3}. What is prob of sequence ikdu?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvmvmsmmmmsvv. Give prob of sequence mssm.\nAnswer: 7\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a + 3*a - 2*a. Let r(w) = 5*w. Let m(t) = 14*t. Let g(h) = 3*m(h) - 8*r(h). Calculate u(g(v)).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 7*d + 3. Let w be k(7). Suppose -w*o + 77 = -355. Is o a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 12 + 4*p + 3*p - 24 + 21. Let l(i) = 2760*i - 1377*i - 1384*i. Calculate k(t) + 5*l(t).\nAnswer: 2*t + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 17 + 11 = 0. Suppose 5*r = -1 + 16, k*a - 4*r = 0. Suppose 261 = 3*i - l, -4*i + 0*l = a*l - 335. Round i to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63536150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 219.3, 0.1, -9183 in increasing order.\nAnswer: -9183, 0.1, 4, 219.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 39*c**2 - 77*c - 196. Let n be a(41). Let w(b) = b**2 - 9*b - 29. Determine w(n).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 11. Let c be l(-11). Is -4\/3 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(325)*6 - (1 + (0 + sqrt(325) - sqrt(325))) - (4 + 6*1*sqrt(1300)))**2.\nAnswer: 900*sqrt(13) + 105325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -2, -6, -1\/35?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(-1*(10 + -4) + 5). Solve 5*o = -l*o - 2*v + 6, -2*v = -o - 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2139 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -601575 take away 615135.9?\nAnswer: -1216710.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 18. Let q = -0.1 + -0.1. Let y = 12 - 21\/2. What is the nearest to q in -0.5, h, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-10))**(-49))**(2\/135) assuming w is positive.\nAnswer: w**(196\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -103 - -428. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 1. Let m(d) = d**3 - 5*d**2 - 24*d - 6. Let q be m(8). Let f be (2\/4)\/((-4)\/(-8)). Let p(c) = 1 + f + c - 1. Determine q*p(y) - 5*b(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 16 - (-253 + 205)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyn. Give prob of picking 1 y and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 0.05, -1, 1\/7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5311585 * 14\nAnswer: 74362190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16\/80*30*1\/(-26)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 137*m - 23428. What is l(171)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11 + -5)*(-2)\/6. Let b(v) = -v**3 - v**2 + v. Let k be b(x). Let t(z) = -7*z**2 + 0*z**k + 5*z**2. Let f(q) = 12*q. Give f(t(l)).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 459.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, -61, -269, -585, -1015, -1565?\nAnswer: -2241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 25350 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 4*k - 2. Let n be t(-2). Suppose o + n*o = 12. Solve o = -3*v - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k = 324. Suppose -u - 2*u = -372. Let o = u - k. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 7*q + 85 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 7:04 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 119*c**4\/12 - c**3\/3 + 348*c**2 + 1536*c. Find the first derivative of k(g) wrt g.\nAnswer: 238*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t - 13*t + 18*t + (1 - 5 + 3)*(-t - 5*t - 6*t).\nAnswer: 22*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/8 + (-2)\/16 - (-768)\/108?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 10:48 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 take away 148333?\nAnswer: -148333.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2298000 to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 117 = 3*r - 6*r, -3*f + 166 = 5*r. Let v(x) = x + 16. Let y be v(-11). What is the highest common divisor of r and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 475439, 475436, 475431, 475424, 475415?\n\"Answer: -p**2 + 475440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -90441, -180879, -271317, -361755, -452193?\n\"Answer: -90438*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from ddrrkkkkdkdkkkd?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-4) + 2\/(-4). Suppose 0*k = k - 16. Calculate the greatest common divisor of c and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39813530 greater than -39813530?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175329 divided by 77.\nAnswer: -2277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1360\/52 - (-6)\/(-39). What is the highest common factor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, i: 2}. What is prob of picking 3 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -6*r + 30. Let a be 1275\/(-21) + r\/(-21). Round a to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7115281?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 3*j - 4*x, -2*j + 338 - 358 = -5*x for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/3040*-57)\/((-3)\/(-58)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10815450?\nAnswer: 2, 3, 5, 72103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 2*k = 3*j + 35, -3*k + 2*j + 22 = 0. Suppose 4*d = -4*r - 16 + 72, d - 4*r - k = 0. Calculate the least common multiple of 4 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16 and -136.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 44\/5 of a century?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 14850?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85 + -87. What is the closest to 1 in -5, -0.7, h?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(1\/(-2)) - -6. Suppose -p + 265 = -i*d - 746, 0 = 2*d - 5*p + 519. Let u = d - -1003\/4. Which is the nearest to 0.1? (a) u (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25296424 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.1 - -5. Which is the nearest to y? (a) 0.2 (b) 2\/9 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d - 6. Is 7 a factor of g(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 1.4294?\nAnswer: 2.8588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 58.47, 0.1 in decreasing order.\nAnswer: 58.47, 3, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-6) + -6 + 10\/(90\/451503057). What is a rounded to the nearest 1000000?\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13948190*m*p**3 + 1480*m*p**2 - 46*m*p + 42*m wrt p.\nAnswer: -83689140*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87.9 + 5.9. Let h = i + 82.0185. What is h rounded to three decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*u = -9, 4*t - 3*u - 15 = 8. Suppose r + t*v - v + 5 = 0, 0 = 3*r + v + 5. What is the second derivative of -o**3 + r*o**3 + 5*o - 7*o wrt o?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-8)*21*30\/(-2835)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 653917.9 tonnes to kilograms.\nAnswer: 653917900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14419 and -34.550769.\nAnswer: -14453.550769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 7:08 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 12:14 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -472*r + 1226*r + 1558*r - 366*r to x*r + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00075628 rounded to six decimal places?\nAnswer: 0.000756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4698 - 3.5302. Which is the smallest value? (a) -0.31 (b) u (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 615812 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 13*t**3 + 18*t**2 + 3*t - 13. Let s(i) = 40*i**3 + 55*i**2 + 10*i - 44. What is 7*n(w) - 2*s(w)?\nAnswer: 11*w**3 + 16*w**2 + w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -286665645 by -5620895.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 49. Let k(c) = -62*c**3 + 3*c + 1. Let y be k(-1). Suppose 56*j = y*j - 32. What is the smallest common multiple of j and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2, -3, -5\/6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + i = -2*i + 11, 2*i = 4*u + 10. Let k be 9\/3*u\/(-6). Let s be k\/(-5) - 8\/5. Let w(t) = -t**3 - 2*t**2 + 3*t + 3. Give w(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*23.14.\nAnswer: -11.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32270)\/(-3227)*(-1 + 39\/(-5))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 2)*(-5 + 4). Suppose -3*y = t*c - 357, 4*c + 99 = y - 0*c. Suppose 0 = 3*v + 37 - y. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2\/i)\/i*i)\/i**(1\/5)*(i**(1\/2))**(-22) assuming i is positive.\nAnswer: i**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**5\/60 + y**4\/12 + y**3\/3 - 4*y**2. Let r be k(3). Sort r, -5, 6 in decreasing order.\nAnswer: 6, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 85 or -69653?\nAnswer: -69653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2951499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(50) - (sqrt(50) + 1)*-3 - sqrt(50))*4 + (sqrt(50) + -2*(sqrt(50) - (sqrt(50) - sqrt(300)\/sqrt(6))) - sqrt(300)\/sqrt(6)*6))**2.\nAnswer: 7440*sqrt(2) + 48626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p - 5*p + 2*p. Let g = -14146 + 14147. What is k(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-294)\/(-35) - 8) + (-69)\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 20 = -4*y + 40, 3*y = 2*o + 40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -1. Let o(z) = -z - 6. Suppose -3*s - 5*f + 23 = -7*s, 12 = -3*s + 2*f. Determine s*o(x) + 10*j(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 11 = 103. Differentiate 10*j**2 + p*j - 79*j + 11 + 41*j wrt j.\nAnswer: 20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2. Let i(f) = -f**2 - f - 1. Let l(d) = 3*d + 1. Suppose 0 = -5*z + m, 4*z + 5*m + 37 - 8 = 0. What is v*i(b) + z*l(b)?\nAnswer: b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 2*y - 78 + 62 = 0, -z - 5*y + 14 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*l - 43705717 = -705723, 215000006 = 5*d + 3*l. Suppose -d = 32*o - 37*o. What is o rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*f*h**3 - 2*c*f*x - c*h**3*x + 2*c*h**2 + c*x + 4701*f*x + 573*h**3 with respect to f.\nAnswer: -c*h**3 - 2*c*x + 4701*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 1:23 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12223 and -7929?\nAnswer: -969.16167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-6*sqrt(85) - sqrt(85)) + sqrt(85) + sqrt(85) + sqrt(85) + sqrt(85)) + sqrt(85)*6*-3)\/(-1*sqrt(40)\/(sqrt(96)\/sqrt(12))*3).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6625102, -6625088, -6625066, -6625036, -6624998, -6624952, -6624898?\n\"Answer: 4*d**2 + 2*d - 6625108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 9:19 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2446209, -2446219, -2446229, -2446239, -2446249, -2446259?\n\"Answer: -10*q - 2446199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -78 - 2068\/(-44) - 3*7\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) 93 (c) 5\/8 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4, -11\/3 in descending order.\nAnswer: 4, 0.1, -11\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15491.8 + -15492. Let u = -5 + 2. What is the biggest value in d, u, -5, -1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 19 = 9*b - 13*b, 5*b = 5*m + 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -485*q - 18421. Calculate o(-38).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -388.4 * -0.4.\nAnswer: 155.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 48*0.124448\nAnswer: 5.973504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, y: 2, a: 2, r: 1, s: 1}. What is prob of picking 1 a and 1 r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -194588*j**3*m**2 + 49*j**3*m + j**3 + j**2*m + 13*j*m wrt m?\nAnswer: -389176*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - h**2 - 3*h. What is j(-4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 + 27140*a\/3 - 135850.\nAnswer: 2*(a - 15)*(a + 13585)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0\/2*(8\/(-2))\/12\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 5*i - 6, -3*x - 6 = -4*i - 0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25606?\nAnswer: 2, 7, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u. Let p(b) = 627*b**2 + 231. Give q(p(t)).\nAnswer: -627*t**2 - 231","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 = 6. Suppose d = -5*p, q*d + 5*p = d + 30. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79485 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**2 - 1 + 4*h**2 - 7*h - 5*h**2 + 3*h**2. Let d be q(-6). Suppose 0 = -8*b + 3*b + 15, 5*j + 3*b = 29. Solve -1 = d*v + j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000867542 to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 11*o**2 + 3 - 15.\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3\/14 (b) -4 (c) 225 (d) 1\/2 (e) -3226 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2c9 (base 13) to base 12\nAnswer: 35b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.08, 2\/77, 4 in decreasing order.\nAnswer: 4, 2\/77, -0.08, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w - 14662 + 14653. Which is smaller: w or -883?\nAnswer: -883","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiiuikkii.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 7*h**2. Let d be s(-7). Suppose a - 4*a + 27 = d. Calculate the remainder when 26 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.9 times 0.46?\nAnswer: -68.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(-3*q + q + 0*q)*(-2 - 2*q + 2).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-138)\/(-15))\/(-4 + 57\/15). Let j = -38 - a. Suppose 4*d + 3*g = 13, -5*g - 1 = 3*d - j. Solve 2*t = 4, -5*t - 6 = 4*m - d*t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1054 - -1062. Let j(s) = s**3 - 9*s**2 + 7*s + 6. Calculate j(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 11*p**3 + 3717*p**2 - 339*p - 741. Give a(-338).\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(91) - (1*sqrt(91) - sqrt(91)))*3)\/(sqrt(112)*-4)*6*-4.\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -252, -353, -438, -501, -536, -537?\nAnswer: -498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 11:41 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163.8151 decades to months.\nAnswer: 19657.812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-27)\/(-7) + -4 + 18\/28. Let p(z) be the first derivative of 0*z + k*z**2 - 16. Let y(v) = -v**2 + 7. Calculate y(p(d)).\nAnswer: -d**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.33 - -1.05. Let t = b - 0.2. Let l = t + -0.22. What is the second smallest value in 4, l, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1873 - -1867. Which is smaller: i or -125?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h**3\/4 + 10185*h**2 + 82865025*h\/4 - 249328935\/2 = 0. What is h?\nAnswer: -4077, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + (-12)\/4 + -4. Let d(i) = -i. Let o(s) = s - 2*s + 4*s. Let l(w) = h*o(w) - 7*d(w). Let z(q) = -4*q. What is z(l(r))?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -4*p + 2. Let k = p + 13. Is (-1 - k) + -2 + 49 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 119*h**2 + 2*h - 1. Let m be j(1). Suppose -l - 5 = 0, 0 = 2*d - 0*l + 4*l - m. Calculate the highest common factor of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p + 6. Let l be k(4). Suppose -l*t + 13*t = -20. Let m(n) = 2*n**2 - 3*n + 6. Let q be m(2). What is the greatest common factor of t and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-690)\/19320)\/(2\/7))\/(217\/(-28)).\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**3 + 14*s**2 - 15*s + 5. Let g(b) = 5*b**3 + 15*b**2 - 16*b + 5. Let y(t) = 5*g(t) - 6*v(t). Let d = 148 + -140. Determine y(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 22 = 5*q, 0 = 6927*q - 6931*q + 4*v - 32 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 - 82. Let x = 33.00056 + o. What is x rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2111021 + -10?\nAnswer: -2111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcva when four letters picked without replacement from {s: 4, a: 1, q: 1, c: 1, v: 2}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 51*m**2 + 3*m - 49. Is n(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 3:01 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(12))*-5.\nAnswer: -10*sqrt(3) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - 4*(sqrt(130) - 1*sqrt(130) - sqrt(130)))\/((sqrt(10) - (sqrt(10) - sqrt(80)\/sqrt(200))) + sqrt(10)).\nAnswer: 25*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 2, -0.2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 52*a*b**2 + 87*a + 66*b**2 + 152 wrt a?\nAnswer: 52*b**2 + 87","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**2\/4 + 87*o\/2 + 756 = 0.\nAnswer: -14, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404 + 196 - 63*t**2 - 125*t**2 + 208.\nAnswer: -188*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -303020300202?\nAnswer: 303020300213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191584.\nAnswer: 2, 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 - (-2 - 4\/4). Find the common denominator of -2 - 268\/(-240)*z and -71\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 121?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23009, 2, 0, 4, -3, -1.\nAnswer: -23009, -3, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(2448) + -1)*-6 - (3 + sqrt(17)*-1 + 2 + sqrt(17)*-2 + -5 + -2).\nAnswer: -141*sqrt(17) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1946393*y**2 - 631059*y wrt y.\nAnswer: 3892786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -8327, -262, -2, 2, -4\/11 in decreasing order.\nAnswer: 2, -4\/11, -2, -262, -8327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41161.9 less than -1191?\nAnswer: -42352.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.091 - 7.791. Let r = 3 + -11. Let b = a - r. What is the second smallest value in 2\/3, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 361711?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x + 18 + 7 - 1 - 1.\nAnswer: -6*x + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 2*z**2 - 1. Let f be g(-1). Let i(u) = 2 + u + f + 0. Let v(a) = a**2 + 8*a + 4. Let l be v(-8). Give i(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 587*g. Let j(l) = -12*l**2 - 2*l - 8. Let s(x) = 40*x**2 + 7*x + 28. Let n(q) = 7*j(q) + 2*s(q). Calculate n(b(f)).\nAnswer: -1378276*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 38\/6)\/((-4)\/(-6)). Suppose 3*a + 14 + 22 = 0. Let w be (j\/(615\/a))\/(-2). Is 0 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 6*c**2 - 7*c - 2. Let a be n(-7). Let d be 7\/(-28)*(-2 - a). Solve 5*v - 4*p + 21 = 0, v - p = -5 - d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 101?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 936, 2 in decreasing order.\nAnswer: 936, 8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 3. Suppose -y - 5 = 0, 5*h = 8*y - 3*y. Let k be f(h). Let q = 22.5 - 22. Which is the third smallest value? (a) q (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-140)\/6 - (-4 - -4). Let n = 23 + d. Let q = 626\/9 + -208\/3. Sort q, n, -0.4.\nAnswer: -0.4, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -15 + 6*w - 6 + 1. Let d(o) = o**3 + 11*o**2 - 3*o - 29. Let y be d(-11). What is the units digit of v(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/50)\/((-215)\/(-50) + -5 + 1). Which is the closest to q? (a) -739 (b) 4 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/4 + 1411*m**2 + 11275*m + 16908 = 0.\nAnswer: -5636, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -331113332?\nAnswer: -331113342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i**3 + 8*i**3 + 0*i**3)*(i + i + 2*i**2 - 3*i**2).\nAnswer: -14*i**5 + 28*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*n = 2*n, -n = -4*s - 13. Is s <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 0, -5.\nAnswer: -5, 0, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 21. Let o be a(-16). Suppose x - d - 110 = -2*x, 170 = o*x + 5*d. What is the highest common factor of x and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -432 (base 7) in base 16?\nAnswer: -db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1001111101 (base 2) to base 15\nAnswer: 2c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 17*a**4 - a**3\/3 + a**2\/2 - a + 278. Determine n(1).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 28 = 7*v. Suppose -2*w + v*d - 1 = -5*w, -5*d - 39 = -2*w. Suppose 0 = -w*g + 123 - 11. Solve -4*n = -m + 3, n - g = 4*m - n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -21*y + 67. Let v be m(-20). What is the common denominator of v\/378 + 6 + (-280)\/49 and -127\/12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168541015?\nAnswer: 5, 33708203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + -1 - (-7 - -1). Is 4 a factor of 4\/(-6) - (-29)\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89217, -178435, -267643, -356835, -446005, -535147?\nAnswer: -624255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 317 and 79250.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.44 + 0.04. Let q = -0.6 - z. Is 1\/2 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-65)\/(-455) + (-26)\/378)\/(3\/27). Let q(o) = -2*o**3 + 7*o**2 - 3*o + 4. Let m be q(5). Sort m, b, 1\/2.\nAnswer: m, 1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5\/17 - 26*u**4\/17 + 608*u**3\/17 + 1976*u**2\/17 + 1344*u\/17 = 0.\nAnswer: -24, -2, -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 10 + 32 = 5*n, 2*n - y - 1 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-9*c + 2*c - c) - 7*c - 13*c + 19*c.\nAnswer: -17*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/10)\/(1 - 3). Let u(i) = -6*i**3 + i**2. Let d be u(2). Let s be 3*(d\/(-6))\/t. Calculate the highest common factor of 55 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 412 and 256.12.\nAnswer: 668.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n + 52. Let l be w(-6). What is the highest common factor of 56 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3166 - 3145?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149613?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 1) + -2 + 4 + -4 + -16.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -802 (base 9) to base 2\nAnswer: -1010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -451923581 divided by 4.\nAnswer: -451923581\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110771 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1290 is divided by 44?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + -144511?\nAnswer: -144525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 3:49 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.3, -2\/5, -525, 104?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7\/(b**(-6\/25)\/b))**(11\/3) assuming b is positive.\nAnswer: b**(2266\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -106+-0.119\nAnswer: -106.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201 = -21*a + 243. Solve 5*l - 5 = u, -72 = u + a*l - 81 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2364 - 120 = 6*c. What are the prime factors of c?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73245339?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 13. Let g(y) = -6*y**3 + 5. Let u(f) = -f**2 - 1. Let q(b) = p*u(b) + g(b). What is the third derivative of q(l) wrt l?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 106*h + 101*h + 25 = 0, -4*i - h + 5 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(2\/17))\/((((a**(-12\/7)\/a)\/a)\/a)\/a))\/((a**(-9)*a)\/(a\/(a**17\/a*a))) assuming a is positive.\nAnswer: a**(-167\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 2*g**2 + 0*g**2. Let o(l) be the first derivative of 2*l**3\/3 + 1. What is v(o(p))?\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 214944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 6:58 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 7*l + 4. Give w(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**5\/20 - 7*t**4\/3 + 13*t**3\/6 + 1065*t**2. Calculate s(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/((-140)\/(-8))*(-21)\/(-14)*83\/3.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.06 - 7.94. Let q = 3.8 + -3.4. What is the third smallest value in r, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 6:53 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 - -84. Suppose -3*x - 77 = -s, -153 = -2*s - x - a. Suppose s = 5*i - 2*q, 2*i - 2*q = i + 14. Calculate the smallest common multiple of 6 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -53165, -228 in descending order.\nAnswer: 1, -228, -53165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 2*f + 20. Let b be x(-3). Let k be 2 - 2 - (-4 - -6 - b). What is the closest to -1\/6 in 0.4, 0.3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 2*z**3 + z**2 + (4*z - 3*z - 3*z)*(0*z + 8*z**2 + 0*z).\nAnswer: -14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2565\/6975 - (-3)\/93. Which is the nearest to j? (a) 3 (b) -2 (c) -30\/11 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 2*p - 4 = -4*p - 20, 5*p = 209*k - 152*k + 476 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36991636*a**2*g**3 + 62*a**2*g + a**2 + 8*a*g**2 + 34*a*g - 6 wrt g?\nAnswer: 221949816*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -12879, 0, 1, -5\/3, 3 in descending order.\nAnswer: 3, 1, 0, -3\/7, -5\/3, -12879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 311*m**2\/2 - 3457. Let i(q) = -8*q. Determine u(i(c)).\nAnswer: -2488*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 3\/23 (b) 5 (c) 0.2 (d) 411\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.05, 12.8, 2\/9, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - i - 43. Let u = -657 - -651. Calculate m(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 12:50 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**3 + i**2 + 5*i - 1 - 4*i + 5*i**3 + 3*i**3. Suppose -3*j - 4*o = -11, -j - 23*o = -28*o + 9. What is c(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from fwhhx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34287 and 5511.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.1*5.76.\nAnswer: 29.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1923900 to the nearest 10000.\nAnswer: 1920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3225*i**4 + 7*i**3 - 7*i - 122. Let a(v) = -1613*v**4 + 3*v**3 - 3*v - 61. Let p(w) = 7*a(w) - 3*x(w). What is the first derivative of p(h) wrt h?\nAnswer: -6464*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -3101102330130?\nAnswer: -3101102330122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 640\/5 - ((-144)\/2)\/(-8). Are d and -11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 1:46 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*z - 19*z - 19*z)*(2*z - 2 + 2 + (-2*z + 1 - 1)*(-2 - 2 + 2) - 5*z + 2*z + z + 3*z - 3*z - 2*z).\nAnswer: -34*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6458 or 6485?\nAnswer: 6458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 5*p + 36 = 0, -w = -3*w - p + 20 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-2\/13)*c*c*c**(-6\/13) assuming c is positive.\nAnswer: c**(31\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2364)\/2955*15\/(-8)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -117, 0.3, -1\/6, -283, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.29 - -0.29. What is the nearest to 0.3 in u, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*i = 0. Let g be (-1 + i)\/((-10)\/50). Let j(o) = 3*o - 14. Let l be j(g). Which is smaller: l or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 108 = -0*z. Let i = -24 - z. Solve 2*x + i = -2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76817648.17 rounded to the nearest one million?\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + -9. Let p = -96 - -99. Suppose 5*r - p*c = 8*r + 48, -r - 13 = 4*c. Is z at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - -2 - -1) + 78?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 10:37 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121111 (base 3) in base 4?\nAnswer: 102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from vaassvaaaaaavgsassag?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 544, 1110, 1678, 2248, 2820, 3394, 3970?\nAnswer: 4548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**5\/5 + x**4\/2 + x**3 + 19. Factor v(w).\nAnswer: -w**2*(w - 3)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27161.628 months in years?\nAnswer: 2263.469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h**2\/7 + 106*h\/7 + 44\/7 = 0.\nAnswer: -2\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/2)\/((-1)\/2). Let n be (-6 + 5)\/((-1)\/l). Solve 3*s = -9 - n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m. Let t(n) = -25604277*n**2. Give q(t(s)).\nAnswer: -51208554*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3)\/k)**40\/(((k*k**(-5\/4)\/k)\/k)\/(k\/(k\/(k*k*(k*k*k*(k**(-1\/3)*k)\/k)\/k)))) assuming k is positive.\nAnswer: k**(-569\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - 2 - (650 + -557)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 29748\/(-3810) + (3 - 0). Let q = 1\/127 + m. Is -4 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 95594*g - 3247884.\nAnswer: -2*(g + 34)*(g + 47763)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -21. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2749, -2776, -2851, -2998, -3241, -3604, -4111, -4786?\nAnswer: -5653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 2*l**5\/25 - 84*l**4\/5 + 334*l**3\/15 - 6574. Let s(g) = 0. What is g?\nAnswer: 0, 1, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 times -184445\nAnswer: 7562245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 divided by 2?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 161237657.7ms in weeks?\nAnswer: 0.26659665625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 8:13 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3718384 and 1110112.\nAnswer: 4912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.3 (b) -2\/13 (c) -0.05 (d) -1\/8 (e) 2.732 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 3:10 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37 - 8154?\nAnswer: -8117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622622 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10292 and 10106.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 5*a**2 + 8*a + 8. What is the units digit of k(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1107644355*u - 1107644355*u - 413*u**2.\nAnswer: -413*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4 + (-12)\/(-24). Let n(m) be the second derivative of 0 + 0*m**4 + 1\/5*m**5 - 1\/2*m**2 + r*m**3 + 2*m. Find the first derivative of n(i) wrt i.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295615 is divided by 29552?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 times 75366?\nAnswer: -6858306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 0. Let b(f) = 82 - 89 - 5*f - f**2 + 0*f - 5*f. List the prime factors of b(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8932 and 9534.\nAnswer: 6082692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 k, 1 r, and 1 v when four letters picked without replacement from {r: 3, t: 1, c: 5, m: 3, k: 1, v: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 7*d. Let j(t) = t**3 - 6*t**2 + 4*t + 4. Let z be j(5). Let w be 6 - (0 - (z + 1)). What is the units digit of l(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/3)\/(-13*2622\/4186).\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -23. Calculate the remainder when (-456)\/p*(0 - -2) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 36 = 4*z, 35*d + 2*z - 18 = 33*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + -34. Solve 3*j**3 - 5*j - r*j**2 + 3*j**3 - j + 15*j**4 + 4*j**2 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 15) to base 3\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, i: 3, l: 1, v: 1, o: 6}. Give prob of sequence vool.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -10*f - 0*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, m: 3, g: 2}. What is prob of picking 2 m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 + 326*p**2 - 13704*p + 80640.\nAnswer: -2*(p - 96)*(p - 60)*(p - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 377303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-256)\/(-880) - 11\/121. Let p(y) be the second derivative of 0 - 6*y + 9*y**2 + 0*y**3 + 0*y**4 + k*y**5. Differentiate p(d) wrt d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -152 + 26*f**2 + 152 + (-2*f + 2*f - f)*(4*f - 2*f + 0*f).\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.73 + 0.17. Let a = -0.1 - b. Let x = -2.5 - a. Put x, -0.3, 4 in ascending order.\nAnswer: -0.3, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30000056122 - 0.3\nAnswer: 30000056121.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/(-3*sqrt(8) - sqrt(8)))\/(sqrt(22)\/sqrt(99)) + (4*sqrt(756))\/(1*sqrt(112)))**2.\nAnswer: 1323\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -10*z + 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -143, -219, -297?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-13 - (1 - -11)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 442 divide 13351494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -80 + 145 - 64 + 232*t + (-2*t + 0*t + 0*t)*(4 + 1 - 4).\nAnswer: 230*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - 1201 + 1201.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 - 14*o**2 - 9*o**2 + 23*o**2.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71\/36 + 7\/4. Let t(r) = -37*r + 219. Let p be t(6). Sort -0.3, p, z in increasing order.\nAnswer: p, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/27438 and 74\/45.\nAnswer: 411570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4*o = -3*k - 18, -2*o + 24 = -4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5155, 5164, 5141, 5056, 4879?\nAnswer: 4580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3 != -68561777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 less than or equal to -712\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1358718471 to the power of 1\/3, to the nearest integer?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8*f**2 + 20*f + 72. Give r(-5).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (-1794)\/(-115))*(-33)\/(-6)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 6*z - 7*z + 68, -3*z - 56 = 5*h. Which is bigger: h or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - -181c?\nAnswer: 1811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3472 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: Suppose 0 = -3*z - 6, -16*q = -15*q + 2*z + 2. Solve 1 = -g + q*w - 6*w, 0 = w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + k + 0)*(1 - 11 + 1)*(14 - 43 - 2 - 91).\nAnswer: 1098*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 6*l. Suppose 0*t + t = 4*r - 14, 3*r - 2*t - 13 = l. Suppose -j = -3*y + 19, y - r = 3*j - 2. Round y to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 42*a - 80*a**2 + 1 + 44*a + 1 + 366*a**2 in the form t*a + y*a**2 + g and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnl when three letters picked without replacement from {l: 5, n: 1, v: 2, c: 1, w: 2}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40506849*d**4 - 110444594?\nAnswer: -162027396*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -5 - 5. Let y be (22\/(-1))\/(o\/(-8)). Suppose -5*i + 113 = -q, 2*q - 5 = -i + 11. What is the highest common divisor of i and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -878 + 545. Round p to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698254 is divided by 274?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 2 + 2 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -24*y + 25*y. Suppose -t + y = m + 2*m, -t + 3*m + 23 = 0. Let p be (-1)\/(-2)*t\/35. Which is the closest to 0? (a) 0.4 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**3 + 373*l**2 - 1806*l - 55. Give j(-129).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**5\/10 + c**4\/2 - 2*c**3\/3 + 6*c + 3. Let u(v) be the first derivative of x(v). Determine m so that u(m) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 446730 = -4*l + 7*l. Let b = l - 10910. Round b to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 9*n**2 - n. Let q be p(-9). Let j(a) = a + 5. Let u be j(4). Let b = u + 0. What is the highest common factor of q and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 65 = -5*h, u + 31 = -0*h - 3*h. Let j(f) = -13*f + 19*f + 2 - 8*f. List the prime factors of j(h).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - o**2 + 2*o - 1)*((0*o + 3*o - o)*(-5 + 5 - o) + 3394 - 3394 - 246*o**2).\nAnswer: 248*o**4 - 496*o**3 + 248*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-96)\/36)\/(-8))\/(34\/6222).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -4 + (4 - 4) + -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19450021 a multiple of 1005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117717 divided by -509.\nAnswer: 117717\/509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 9*m + 4. Let o be v(-12). Suppose -3*i - 50 = -5*t, 0 = -7*t + 3*t - 4*i + o. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 13*l**4\/24 - l**3\/3 + 1158*l**2. Let n(i) = -i. Determine d(t) + 6*n(t).\nAnswer: 7*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -17*t + 4. What is the tens digit of h(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) -1167 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - 5*d + 253 - 135, 7*s + 6*d = 5*d + 254 for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -122*-0.06\nAnswer: 7.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-4)\/96*28\/(-7).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4284683\/401 + -10685. Which is the nearest to 1? (a) 1\/2 (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351598?\nAnswer: 2, 13, 13523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 9*o + 2. Is d(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -52903777, -52903777, -52903779, -52903783, -52903789, -52903797?\n\"Answer: -n**2 + 3*n - 52903779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 918 = -918. Let d(a) be the first derivative of -21 + n*a + 0*a**2 - 1\/3*a**3. Let u(i) = 5*i**2. What is d(u(p))?\nAnswer: -25*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v = -26*v. Suppose -r + 5*r - 252 = v. What is the lowest common multiple of 8\/12 + (-56)\/(-6) and r?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1270 + 1919. What is the highest common divisor of 118 and a?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 213967 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*x - 34, 0*x - 3*y + 23 = 5*x. Let q(t) = -t**3 - 15*t**2 + 15*t - 11. Let s be q(-16). Which is smaller: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/2 and -7\/4376.\nAnswer: 4376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q. Let i be y(0). Suppose 10*p - 3*p - 147 = i. Let w(g) = -g**2 + 19*g + 36. Let j be w(p). Is j less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 51. Suppose 0 = 4*a - 15*a + m. Solve a = -2*u + 3*b, 5*u - 3*b + 7*b = -5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 14. Let w = u - 4. Suppose w = 5*h - 45 + 15. What is the highest common divisor of 9 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 6:05 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9*b**2 + 17*b + 75. Give k(-5).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4eb (base 16) to base 2\nAnswer: -10011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56651.\nAnswer: 7, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 - 11*n - 1. What is the tens digit of y(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4, -5*a - 2*p + 136 - 15 = 0. Sort 1, a, -4, 4.\nAnswer: -4, 1, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 191.3254 to 0 dps.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**2\/2 + 1. Suppose -4 = -2*z - 4*i, z + 2*z + i - 6 = 0. Let t(g) = 5*g + z*g - 2*g. Calculate t(s(l)).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16927*q**4 + 4*q**2 + 262*q - 2 wrt q.\nAnswer: -203124*q**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7216507 (base 8) to base 15.\nAnswer: 27a529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**7*m)\/((m**(3\/8)\/m)\/m))\/(m**0)**0*(m\/(m\/((m\/(m\/((m\/((m**4\/m)\/m*m))\/m)*m))\/m))*m\/m**(-5)*m)\/((m\/(m**(2\/25)*m))\/m**(-2\/17)) assuming m is positive.\nAnswer: m**(39397\/3400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 + (-4 - 0)) - (-4 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 81568.\nAnswer: 244704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -8, 6, 0.3, -12883 in decreasing order.\nAnswer: 6, 0.3, -1\/2, -8, -12883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/21 and 53\/472.\nAnswer: 9912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 127d9 - 3b9b?\nAnswer: ca3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 64, 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 668862 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -398237*y**5 - y**2 + 32208.\nAnswer: -23894220*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 10030?\nAnswer: 10031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32214 (base 5) to base 14.\nAnswer: -b20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -0.1 (b) -3 (c) -5 (d) 405\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.58 + 7.37. Let k = x - -0.21. Let s = k - -7. Which is the nearest to 0? (a) s (b) 4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 3, l: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5906 by -154.\nAnswer: -2953\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 55224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*q + 79*q - 20 = 0. Calculate the greatest common divisor of 360 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1506, -3007, -4508, -6009, -7510, -9011?\nAnswer: -10512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 12:48 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 3*a = -72. Suppose 3*l - k - a = 2*k, 8 = -2*l - 4*k. Suppose -2*b + 0*b + 8 = 4*d, -2*b = 3*d - l. Solve -h = o + d, 3 + 5 = -3*o + h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-20))\/(-1*(-53)\/5))\/((-5571)\/1857)?\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 - (0 - 4) - 77*-7. Let o = -239 + f. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50201\/491942 + -61\/758. Calculate the common denominator of p and -75\/1534.\nAnswer: 16874","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 3*v**2 + 4*v - 2. Let f be l(2). Suppose 0 = f*b - 2 - 28. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 30\/509?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*c**6 + 10*c**2 - 7*c**2 + 2*c**6 wrt c?\nAnswer: 840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6638974+-187.478\nAnswer: 6638786.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**2 - 241080*r = 0.\nAnswer: 0, 60270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -24872000 to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 931867361 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 267*p**2 + 25*p - 10. Let j(b) = 134*b**2 + 15*b - 6. Let g(f) = 10*j(f) - 6*z(f). Let i(q) be the first derivative of 2*q**3\/3 - 3. What is g(i(v))?\nAnswer: -1048*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32213 = 67*j - 16*j - 62188. What are the prime factors of j?\nAnswer: 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 8 + 6 + 10. Calculate the smallest common multiple of 8 and h(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27498 times 0.03?\nAnswer: -824.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24405 - 3?\nAnswer: -24410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 222 - -56. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 203a - 1?\nAnswer: 2039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*r - 4*o + 24 = 52*r - 114*r, -5*r = 14*o + 57 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 3*h**2 + 4*h + 4. Let g be q(4). Let u(r) = 8*r + 11. Let j(z) = 3*z + 4. What is g*u(k) - 11*j(k)?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 times 1249234?\nAnswer: -118677230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 + -28. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.93, 8, 11 in ascending order.\nAnswer: -10.93, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f**3 - 9*f**3 - 13*f**3 + 13*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -738 times 0.27165?\nAnswer: -200.4777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a millennium in years?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-13 + 11 + -4 + 11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 4*w**2 - 4*w**2 + 161 + 9*w**2 - 2*w**2.\nAnswer: -w**2 + 141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 872 divided by 5?\nAnswer: 872\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((4 + -2)\/(-1022)). Let h be -1 + 3 + u\/28. Let q = h + 53. Which is the nearest to q? (a) 5 (b) -0.5 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*g**4 - 398*g**3 + 2208*g**2 + 2*g - 2?\nAnswer: -1008*g - 2388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**(-22\/9))*n**(-40)*n assuming n is positive.\nAnswer: n**(-329\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 7*v**2 - 3*v + 17. What is the remainder when x(8) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 4*l**3 - l - 119*l**3.\nAnswer: -123*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - h - 109 + 96 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**3\/7 + 699*b**2\/7 - 6099*b + 109515 = 0.\nAnswer: 35, 49, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 50806207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 808 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 11*z - 12. Suppose 6*l - 7*l = -11. Let o be w(l). Let n = -8 - o. Solve -5*g + 5 = 0, 2*k - g - n = 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 0. Suppose 4*k = d*u + 12, 2*k + 6 + 2 = -5*u. Let s be (-2 - -9)*2\/7. Calculate the greatest common factor of k and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - 7*t**2 - 4*t**2 + 62*t + 11*t**2.\nAnswer: t**2 + 62*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*q - 5*q + 35, q - 13 = -5*r. What is the lowest common multiple of q and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3*f + 6 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 618906 and 1098?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 19590957596?\nAnswer: -19590957597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -452821*i + 452927*i - 2438 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgk when three letters picked without replacement from {k: 4, g: 3, z: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 100110101110111010101100 (base 2) to base 15\nAnswer: d58749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017007402 to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-11)\/(15 + -26)*2376 and 2160.\nAnswer: 23760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**6\/360 + 3*d**5\/40 + d**4\/12 - d**3\/2 - d. Let n(r) be the second derivative of h(r). What is the tens digit of n(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 623 divide 262626896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -303 - 33. Let j = 332 + q. Let v = 552\/11 - 50. Which is the nearest to 3\/4? (a) j (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 8:33 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + n**2 + 2*n**4 + (n + 0 + 0)*(-1 + 5 - 2)*(4*n**3 - 3*n**2 + 3*n**2) + 4*n**4 - 3*n**4 + 2*n**4 + (2*n**3 + 0*n + 0*n)*(n + 1 - 1).\nAnswer: 15*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 - 6*k - 3. Let v be h(-2). Let c be (4 - 22\/6)*3. Let i be (-126)\/(-18) - 2*c. Solve i*x + v = -5*t, -t + 16 = 3*t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*x = -2*a + 21, 5*a - 4*x = 34. Let s(m) = -m**2 + 7*m + 3. Calculate s(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6750 and 28620.\nAnswer: 715500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7659725?\nAnswer: 5, 306389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w - 18. Let x be n(-6). Let j be ((1 + 2)\/(-6))\/(425\/(-136)*-118). Is j != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 45 = -13*s + 5*g, -4*g + 44 = 4*s. Sort -3, -5, 148, s, -2 in increasing order.\nAnswer: -5, -3, -2, s, 148","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 21 = 4*b, -u + 4 + 0 = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2397 + 2407. Calculate the remainder when 1547 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10, a: 2, x: 2}. What is prob of sequence mxxa?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000965751209 to seven dps.\nAnswer: 0.0000966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2. Let q(n) = 3*n - 1. Let h(i) = 7*i + 185. Let y(v) = h(v) - 2*q(v). Determine m(y(w)).\nAnswer: -w**2 - 374*w - 34969","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103664196 divided by 9.\nAnswer: -11518244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/(-720) - (222\/(-315) - 0)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9c + -2?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*h - 4*z - 28, 2*h = -5*z + 4. Let g = 0 + 3. Suppose -l - 6 = -g*l. Solve -5*i + l = -b + 12, -4*i = 4*b - h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.94885 litres in millilitres?\nAnswer: 22948.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43575*d**5 + 2*d**2 - d + 280889.\nAnswer: -871500*d**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 54*(15\/(-10) - -2). Calculate the highest common factor of r and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in -0.5, 0, 2\/63?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 c when three letters picked without replacement from oontcocotnocoooo?\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.1, -5, 4\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 3020.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(208)*2 - sqrt(208)) + 0 + -1))**2 + -1.\nAnswer: -200*sqrt(13) + 5224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 266, 1076, 2426, 4316, 6746, 9716?\n\"Answer: 270*s**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 254132274 to the power of 1\/2, to the nearest integer?\nAnswer: 15942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.11 - -0.89. Let o = -60 - -92. Let h = o - 30. What is the biggest value in -3, h, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16211, -32427, -48657, -64907, -81183, -97491, -113837?\n\"Answer: -b**3 - b**2 - 16206*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/638 and 115\/264?\nAnswer: 7656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -33)\/(12*3\/24). Suppose 2*o + 0 = 2*s - 16, 4*o = 2*s - v. Solve 0 = -s*d - 4*y + 17, -4*y = 4*d - 5 - 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 5 + (4 - 3 + 1)*(2 - 10 + 2) - 2 + 0 + 1)*(-6*h - 2*h + 3*h)*(0 - 7 + 3) + 2*h + 3*h - 3*h.\nAnswer: -218*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00049665 to six dps.\nAnswer: -0.000497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -213 - -212. Let q(s) = -2*s**2 + 15*s + 8. Let m(l) = l**2 - 7*l - 3. Let p(a) = 14*m(a) + 6*q(a). Let v(o) = o**2 - o + 1. Give k*p(f) + 8*v(f).\nAnswer: 6*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 2*k + 2, -4*k - 7 - 1 = 4*l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**4\/12 + 2*w**3\/3 - w**2\/2 + 113*w. Let p be t(2). Solve -7*x + p*x + 8 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (183\/6)\/((-5)\/(-1348)). Let p = t + -8261. Let q = p - -38. What is the second biggest value in q, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 47 = 4*c + 60, 2*w - 3*c - 21 = 0 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3617 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: Let q = 56 - 59. Let l(o) = -o**3 - 2*o**2 + 3*o + 4. Determine l(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -15, -17107, 4?\nAnswer: -17107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 90 = 2*p, -42 = -4*s + 513*p - 515*p for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3038, -5893, -8748, -11603?\n\"Answer: -2855*q - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114534 and 3024.\nAnswer: 916272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - (-2 - (-2796)\/(-698))) + -3. What is the smallest value in r, 0.3, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/2)*a**(-1\/4))\/((a\/a**1)\/a)**(1\/3) assuming a is positive.\nAnswer: a**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 4384*p - 26331. Give h(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.253 + 12.853. Let s = 14 - 26. Let w = s + c. Round w to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 = r, -16 = 7*r - 3*r. Suppose q = z + 1, g*z + 4*q + 8 = 8*q. Find the third derivative of -t**2 - z*t**5 + 3*t**5 - t**2 wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000110111000111100011101 (base 2) to base 3\nAnswer: -1021222010112022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397556 + 397556 + 2*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 + 73*v - 2.\nAnswer: 73*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1074.9 - -9229.\nAnswer: 8154.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 3 in increasing order.\nAnswer: -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/8)*(v*v\/v**1)\/v)**(8\/3)\/((v**1)**(5\/6))**(-15\/8) assuming v is positive.\nAnswer: v**(9\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9820 and 410570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 16*s + 7. Calculate t(-8).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 128, 171?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16.72 * 6\nAnswer: 100.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2 - 5. Suppose k*p = 5 + 1. Let i(o) = 2 - o**p - 2 + 0. Let f(x) = -x**2. Determine f(i(d)).\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -8, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -903111 divided by 1?\nAnswer: -903111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*j**2*v**5 - 139*j**2*v**2 + 3*j*v**2 - 112*v**5 + 2*v**2 wrt v.\nAnswer: 360*j**2*v**2 - 6720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3101 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4486 * 0.35\nAnswer: 1570.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-8 + -4)*(-3)\/(-6). Let k(d) be the second derivative of 0*d**2 - 1\/25*d**5 - 4\/15*d**3 + u - 1\/5*d**4 - 17*d. Suppose k(o) = 0. Calculate o.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -8. What is the units digit of 3*((-3)\/q + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1360 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5760010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1330 and 210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 8. Give y(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0 + 0)*(-1 - 2 + 1 - 5 + 2 + 5 + (-4 + 1 + 2)*(-2 + 6 - 2)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87*o**3 + 208 wrt o.\nAnswer: 261*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -141*d**2 - 94*d**2 - 35*d - 77*d**2 + 59*d to l*d**2 + z + t*d and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 0, -3, -10, -21, -36, -55, -78?\n\"Answer: -2*i**2 + 3*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3796 + 3091?\nAnswer: 6857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**2 + 28830*a - 86445 = 0 for a.\nAnswer: 3, 5763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-579 + 1436 + 786)*(4*n - n - 5*n).\nAnswer: -3286*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.068559 - 0.229031. Let n = -214.701 - -215. Let z = n + h. What is z rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388 - 194 - 2*y + 8*y - 194.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 0.108 (c) -2 (d) -0.4 (e) -0.2 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5628820976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7*x - 152. Determine v(25).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 10:27 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -15. Let r = h - 12. Suppose 8 = -2*j + 2. Put r, 2, j in decreasing order.\nAnswer: 2, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29658 is divided by 3289.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*n + 19*n - 25. Let b be 0*(n\/(-20))\/5. Let i = -2 + 2. Solve b = -3*r - 2*p + 4*p - 11, i = 3*r - 3*p + 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 4. Determine p(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s**3 + 4*s**2 + s + 1. Let o(r) = -r**3 + r**2 + r - 1. Determine -o(c) - p(c).\nAnswer: -3*c**3 - 5*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178295.\nAnswer: 5, 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - 2*t + 3. Let p(c) = 3*c**2 - 2*c + 4. Let l(g) = -4*h(g) + 3*p(g). Determine y so that l(y) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5804 by 4.\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32568, -32640, -32712, -32784, -32856, -32928?\nAnswer: -33000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/48 and -109\/78?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - 2\/4*4. Sort -5, 3, 1, m.\nAnswer: -5, 1, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/2)*g*g*g**(-6) assuming g is positive.\nAnswer: g**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8900598 divided by 14.\nAnswer: -635757","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) -39 (c) 2 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -3*d + 7*d - m, 4*m + 68 = 4*d. Suppose 0 = -2*q + d - 7. Solve -q*k + 32 = 12 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 p when two letters picked without replacement from dpddddddddpddddp?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-30)*r**28*((r**(-7\/2)\/r*r)\/r)**43 assuming r is positive.\nAnswer: r**(-391\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*p - 1. Let k(a) be the second derivative of -7*a**5\/10 + a**4\/6 - a**3\/6 - a**2 + 2*a. Let z be k(p). What is z rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19331 - -19335. Which is the closest to 8\/5? (a) 2 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6395 and 20?\nAnswer: 25580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 335 = -5*p, -311 = -5*p - i - 0*i. Let r = 141 - p. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**3 + 1460*l**2 - 18645*l + 2130. What is u(717)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -203*s + 199*s + 65300. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*n - 21 = -2*n, 3 = n. Let o(x) = 8*x + 4*x - 19*x + 2. Let d be o(-3). Solve -7*j - d = i - 3*j, -3*i + h = -3*j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-7 - -11) - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 3*u - 10. Let l(f) = -f**3 - 4*f**2 - 4*f + 3. Let a be l(-3). Let c be v(a). Is (((-3015)\/36)\/(1\/c))\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9.7 and -1?\nAnswer: 10.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.6 (b) 0 (c) 5 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 6 - 26 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10303 + 223?\nAnswer: 11132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 - 69*o**2 + 177*o + 2485.\nAnswer: -(o - 7)*(o + 5)*(o + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 (base 11) in base 7?\nAnswer: 2151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 0 (c) 11570\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 - 3859*y**2 + 3859*y**2.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2068 = 251*t - 4960. Solve -k + 5*r = -t, 2*r + 25 = -3*r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 4:52 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 20*b - 180. Let k be n(9). Solve -4*t - 13 - 7 = k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69 + -23. Find a, given that 10 + a**2 + 3*a**4 - a**5 - 10 - 49*a**3 + t*a**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 11:08 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.4433889 nanometers?\nAnswer: 0.0000004433889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from {t: 3, w: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -54, -47, -10 in ascending order.\nAnswer: -54, -47, -10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 = -0*o. Let p(a) = 2*a**3 + a**2 - a + 1. Let l be p(o). What is the second derivative of 3*x - 2*x + 3*x**l - x**3 wrt x?\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 14*n - 6. Let i be s(4). Let p = 53 - i. Suppose 2*q - 6*q = 3*z - 148, p*q - 3*z = 132. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmuumdqzqzuuq. Give prob of picking 1 d and 1 z.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5260710 by 1645.\nAnswer: 3198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28448 + -22457. What are the prime factors of n?\nAnswer: 3, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 805 - 828.97. Let m = 24 + z. Let w = 2.04 + -0.04. What is the smallest value in w, m, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12*1 + (-26 - 1062)\/(-16) and 608?\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from unuunn. Give prob of sequence nunn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**4 + 65118*v**3 + 350551659*v**2 - 30509606304*v + 658555460352 = 0. What is v?\nAnswer: -10896, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*c + 3 = 0. Let r = 2 - -1. Suppose w + r*w = 0. Solve j + 0*j - c = w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.0599487 - 4653688.9400513. Let o = 4653690.07099794 + s. Let n = o + -0.071. Round n to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23165.\nAnswer: 5, 41, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/110330 and 61\/2085237?\nAnswer: 20852370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 122 = 19*r, -11365*r + 11362*r - 5*h + 30 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6233837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3*(0 + -3). Suppose -3 = -k - r. Does 13 divide k - (-15 + (3 - 0))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2016693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 491.1392 centuries to millennia.\nAnswer: 49.11392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 10 (b) 1 (c) -4\/3 (d) 0.3 (e) -57.9 (f) 4 (g) 0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 - 1)*-2*((-87212)\/(-40))\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021 - 110102?\nAnswer: -111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 2*l + 60, 0*t + t = l - 9. Let x = -12 - t. Solve x*r - 3*r = 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b = 4*b + 112 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179\/(-100) + (949\/26 + -26)*(-10)\/(-60).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2092*x + 1536 + 23568 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*j*s**3*v**2 - 49*j*s*v**2 + 2*j*v + 103320*s**3*v + 3*v**2 wrt j?\nAnswer: 3*s**3*v**2 - 49*s*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5151, 41940, 141895, 336600, 657639, 1136596, 1805055?\nAnswer: 2694600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -9*z**4\/5 - 26508*z**3\/5 + 97377*z**2\/5 + 35388*z = 0.\nAnswer: -2949, -4\/3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 6*q + 50. Let h be ((-4)\/(-5))\/((-4)\/q). Let o be 8\/h + (-20)\/(-25). Solve 5*s - 25 = o, 3*p - 5 = s - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 5:34 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 14*p + 2. Let n be d(1). What is the greatest common factor of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 34 = -14 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52380450037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*1*(-18)\/(-48)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-2 - 0\/2. Let x be 9\/60*4 + y. Which is bigger: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 11:20 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17096, 34485, 52166, 70139, 88404?\n\"Answer: 146*y**2 + 16951*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(7 + 5*r**2 - 7)*(-140*r + 140*r - 3*r**2).\nAnswer: 30*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**6\/180 - l**5\/15 - 7*l**4\/36 + 45*l**2 - 1. Factor w(s).\nAnswer: 2*s*(s - 7)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 374 + 520. Let o = 207 + a. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35425619 is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 6*d**2 + 7*d - 3. Let h(n) = n**3 + n**2 + 7. Let z be h(0). Calculate t(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1629352 is divided by 120?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(170)\/(sqrt(120)\/sqrt(768)).\nAnswer: -1 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 149923576\/7 or 21417653?\nAnswer: 149923576\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20955*t - s + 205 = 20957*t, s = 2*t - 2*t + 2*t - 203 for t.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -f + 5*a, -4*f - 354 + 340 = -2*a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15316984, 30633986, 45950988, 61267990, 76584992, 91901994?\nAnswer: 107218996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 172757691 and 1179?\nAnswer: 172757691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23 - 30 + 39)*(0 - 4 + 3)*(0 - 3 + 8*g - 13*g)*(-2 - 6 + 2) in the form n + d*g and give d.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.45586 rounded to one dp?\nAnswer: -59.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89032.690061 + 89003.69. Let t = 79 + -50. Let f = w + t. Round f to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -446.39431 to one dp.\nAnswer: -446.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1737.\nAnswer: 4\/1737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3072 and 84552576?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(85)*-3)\/(sqrt(35)\/(sqrt(28)\/sqrt(4))) + -2)**2.\nAnswer: 24*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 4:15 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48434 to the power of 1\/2, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**2 + 22*n - 1216. What is the hundreds digit of c(-84)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -731 divided by -5?\nAnswer: 731\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a millennium in decades?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 3b6?\nAnswer: 3b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -226, -389, -552, -715, -878?\n\"Answer: -163*l - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5*y + 28, 3*y - 42 + 14 = -v. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2850558 divided by -2.\nAnswer: 1425279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = s + 10. What is the common denominator of (0 - 60\/128)*s and 87\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3925 + -1867.2875. Round v to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 13*q**2 - 12*q. Let z be k(-12). Let h(j) = -166*j + 1174. Let t be h(7). Solve z*d + t = -4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -992779 to the nearest 1000.\nAnswer: -993000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1983093 to the nearest integer?\nAnswer: 1408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.5. Let s = 1.3 + q. Let j be (16\/(-84))\/(4\/6). What is the nearest to s in 0.2, j, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/5)\/(1\/5). Let q be (-15)\/20*-4 + 2. Solve 35 = -q*s - 2*x, i*x + 10 = s - 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**3 - 8*w**2 + 7*w + 6. Let j(x) = 5*x**3 + 17*x**2 - 15*x - 13. Suppose -22 = 13*f - 100. Calculate f*j(m) + 13*q(m).\nAnswer: -9*m**3 - 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u - 3. Let a(d) = -5*d + 4. Does 19 divide a(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3042 divided by -6?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 - 13*u**2 - 11*u - 15. Suppose 673*p - 674*p = -6. Let m(s) = -s**3 - 7*s**2 - 6*s - 8. What is p*v(j) - 11*m(j)?\nAnswer: -j**3 - j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3 + 2)\/(-2 - -3))\/1. Let p(x) be the second derivative of 7*x**3\/6 + x**2 - 477*x. Let g(z) = z + 1. Give y*p(q) + 2*g(q).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t. Let s = 166 - 166. Let b(d) be the second derivative of s*d**3 + 0 + 0*d**2 + 4*d + 1\/12*d**4. Give r(b(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -32 + -31 + 74 - (4 - 6)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 2*u**2 + 2*u + 3. Let n be p(-6). Suppose 5*s = 5*r - n, 6*r - s - 123 = r. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -0*w - 27. Suppose -14 - 16 = -w*l. Let a be 46\/8 + (-2)\/(-8). Solve -8*k - l = -a*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 548*g**3 - 105*g + 35. Let b(h) = 91*h**3 - 17*h + 6. Determine -6*a(t) + 35*b(t).\nAnswer: -103*t**3 + 35*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -9. Suppose -t = -j + 1. Suppose -j*u - 1 = -3*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q + 11. Let n be u(5). List the prime factors of n\/6 - (-1 - 2660\/21).\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-2*l + 2*l - 2*l)*(707 - 1154 + 666 + l).\nAnswer: -2*l**2 - 438*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 0.2, 25, 113, -19 in decreasing order.\nAnswer: 113, 25, 3, 0.2, -6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*h + 11, h - 13 = -3*r + 5*h. Let u be 0\/(-3) + (1 - r). List the prime factors of u\/(-4*(-4)\/(-24)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 18, x: 1}. Give prob of sequence mmmm.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -613, -1152, -1701, -2254, -2805?\nAnswer: -3348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 28 (b) -106 (c) -0.5 (d) -7 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44605833 - 44605620.9999936. Let t = -212 + d. What is t rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1172*l**2 - 733*l**2 + 168*l**2 in the form v*l**2 + q*l + o and give v.\nAnswer: -1737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 136 + 612. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 6061?\nAnswer: 54549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1505947*z + 1506589*z - 68052 for z.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-600)\/(-3080)*(-3080)\/(-550)\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**5\/60 + 11*x**4\/12 - 67*x**3\/6 - 209*x**2. Calculate the remainder when b(12) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(72) + 1 + 4 + sqrt(72))*-1)**2 + 3.\nAnswer: 4320*sqrt(2) + 11271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 632 = 3*o + 30*z - 31*z, -4*z + 202 = o. List the prime factors of o.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 73 (b) -3 (c) -0.9 (d) 4 (e) -2 (f) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9183442l in millilitres?\nAnswer: 918.3442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 101971065 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65734037.\nAnswer: 65734037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.4 and 32424?\nAnswer: -142665.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*t = a - 30, 108 = 4*a - 4*t. Is a at least as big as 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2538 + 1297*m + 586*m - 3345*m wrt m?\nAnswer: -1462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(136)\/sqrt(8) + sqrt(51)\/(sqrt(3)*3) + sqrt(17).\nAnswer: -2 + 7*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 860 and 2088089460?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23\/6 in 5, -0.5, -13, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/4818404 and -31\/54.\nAnswer: 130096908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 245\/9 or 27?\nAnswer: 245\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*t - 2*t**4 + t**2 + 6*t + 13*t - 2*t**3 as c + d*t**3 + n*t + s*t**4 + z*t**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -619 in 5, 0, 9\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 5. Let y = p + -6. What is the units digit of 8\/12 + (-111)\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 764725?\nAnswer: 5, 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91126 and 672?\nAnswer: 4374048","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/(-6) + (-2)\/2)*1. Solve -k*d - 4 = -4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 2*o + 52 = 0, 25*o = -2*p + 35*o - 22 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 p when three letters picked without replacement from {c: 3, p: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d*d\/(d*d**(-1\/6)))\/d*d)\/(d**6*d))\/(d**2)**(-14) assuming d is positive.\nAnswer: d**(139\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -22)\/2 - (-246)\/123. What is the remainder when (-4500)\/(-55) - u\/(99\/2) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/12)\/((-24)\/72)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/3*j**3 - 175\/6*j + 335\/6*j**2 - 85\/3.\nAnswer: 5*(j - 1)*(j + 34)*(2*j + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - f + 33, -4*f + f - 6 = 0. What is the derivative of -844*n**3 + q - 94 + 846*n**3 + 6*n**4 wrt n?\nAnswer: 24*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -156 - -160. Let r(j) be the second derivative of 0*j**2 + 5\/6*j**3 + 1\/12*j**p + 2*j + 0. What is the second derivative of r(d) wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*y**4 - 24*y**4 - 36*y**4 + (3*y + 0*y - 2*y)*(-3 + y**3 + 3).\nAnswer: -41*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 1:56 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 1:16 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 637 - 621. Solve -q*u + 33*u = 85 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*r - 0, -3 = 5*k - 4*r. Let p be (-12)\/20*k*-5. Solve -y = p*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 105841 - 105881. Solve 39*o - r*o = 6 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 903 and 6450?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 - 10 = -10*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (82524\/(-4784))\/(6\/(-16)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 0.23\nAnswer: -0.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 506364 and 2379068.6?\nAnswer: 1872704.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 236 + -176. Suppose -543*m + n = -538*m. Solve m*l = 9*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2559.757 rounded to zero decimal places?\nAnswer: 2560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14682, -29118, -43554?\n\"Answer: -14436*n - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -0*r. Suppose -2*g - t - 4 = 0, r = 5*g - 3*t - t - 16. Suppose -1\/2*u**4 + g*u**2 + 0 + 0*u + 1\/2*u**3 = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 2*k**3 - k**2)*(1 - 1 + 1) - 2*k**3 + 548*k**2 + 568*k**2 - 5*k - 14 - 1119*k**2.\nAnswer: -4*k**3 - 3*k**2 - 5*k - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*q + 3, 5*q = 3*w - 24. Suppose 2*l = -w*l + 170. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3130 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(77) - -1*sqrt(77)*-5))\/(sqrt(35)\/(sqrt(125)*5)))**2.\nAnswer: 440000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -5\/7, 6\/11 in ascending order.\nAnswer: -5\/7, -0.3, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*u + 402 - 2040. Suppose 178 - 1318 = -4*n. Let k = u + n. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 6:19 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 0*g - g**3 - 1\/2*g**2 + 6 - 1\/4*g**4. Determine q(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31 or 617\/20?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 131143.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*r - 3478 = 3425 for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 - 136\/(-16))\/(3\/(-22)). Which is greater: j or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -48871, 1, 5, -3 in ascending order.\nAnswer: -48871, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162288 and 85652.\nAnswer: 3083472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -166 bigger than -167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) -8 (c) -0.4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86112592*q**3 + 29*q**2 + 2*q + 21421.\nAnswer: 516675552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -4, 3, 1\/6, -52?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/3421900 and -49\/450250?\nAnswer: 17109500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11, 62, 149, 272, 431?\n\"Answer: 18*o**2 - 3*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1417*v + 27681 = -138108 for v.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-344)\/12*(-4)\/((-32)\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 2 - 0. Suppose -8*b = -6*b - a. Solve 0 = 2*o + u - 4*u + b, -4*u - 4 = -4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251746943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*a + 396 = -17*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 332201 (base 4) to base 3\nAnswer: 12111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*i = -21*i + 7176. Let t = 12 - 6. Calculate the highest common factor of t and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ylllllqlyyylyllly. Give prob of sequence lqyq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 7. Let w(r) = -a*r + r - 2 + r + r. Determine w(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 + 19*t + 6. Let h be p(-9). Are h and -32\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 76. Let g(y) = -y. Let v(z) = -z**2 + 11*z - 12. Let j(d) = -4*g(d) - v(d). Let a be j(4). What is the tens digit of k(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1001904 and 127\/626190.\nAnswer: 5009520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 95, 202, 343, 512?\nAnswer: 703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4914 + 5499 = 15*s for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17\/45 + 7\/9. Suppose 20 = -0*k - 3*k - 4*n, 4*k + 2*n + 20 = 0. Let y be 96\/190 + 2\/(-5). Which is the biggest value? (a) j (b) k (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55329.\nAnswer: 3, 18443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1130*d + 2274*d - 1133*d.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - m - 14 = 0. Let g be (-2 + -37)\/(0 - m\/56). Suppose 140 = 7*k - g. Does 22 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 928\/275 - 98\/25. Sort k, 1\/31, 1 in decreasing order.\nAnswer: 1, 1\/31, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - -6 - (-11 + 6). What is the greatest common factor of a and 558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79432 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**26*v*v)\/v*v)\/(v\/(v**(-35)\/v))*v**35\/v**(-1\/32) assuming v is positive.\nAnswer: v**(865\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 95*r**9\/504 - 3*r**5\/4 + 54*r**2 - 57*r. Let z(x) be the first derivative of n(x). Find the third derivative of z(g) wrt g.\nAnswer: 11400*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*d**2*q - 20*b*d*q - 2*b*d - 5*b + 95*d**2*q - 62*d**2 + 2*d*q - 22*q wrt d?\nAnswer: -2*b*q + 190*q - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 8*y - 9. Let z be n(-9). Let h(j) = 3 - 2*j**3 - 4 + 8*j - j**2 + z*j - 6*j. Calculate h(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 629.25483 minus -11083?\nAnswer: 11712.25483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 105377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.06 (b) -3\/2 (c) 9 (d) -4 (e) 1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49 and 25858?\nAnswer: 181006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103074, 103082, 103110, 103170, 103274?\nAnswer: 103434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j + 30. Let k be l(-9). Suppose r - 30 = -5*p - 4*r, 5*p - k = 4*r. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 times 19.24\nAnswer: -0.5772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c + 946. Let p be l(-81). Calculate the greatest common divisor of p and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 13) to base 5.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*a*h**2*o - 4*a*o + 9*a - h**2 + 2*h*o + 5 wrt h.\nAnswer: 28*a*h*o - 2*h + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**4\/4 - a**3\/3 - 6*a**2 - 51. Let x be q(4). Sort -0.1, 16, x in decreasing order.\nAnswer: 16, x, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 612 (base 10) to base 16.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3 + r**3 - 4*r**2 + 0*r**2 - 19*r + 10*r. What are the prime factors of t(6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2034.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 14*i + 28 = 4*o, 4*o - 8 = 0. Let r(b) = b**2 + 4*b + 7. Let c be r(-5). Let h = 5 - c. Sort h, -2, i in decreasing order.\nAnswer: i, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3 = 3*a, -2*a + 0 = -5*q + 4. Let s(r) = -r**3 + 4*r**2. Let u be s(q). What is the units digit of (-198)\/(-24) - 2\/u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3 + 13. Let i(g) = -g + 1. Let t be i(x). Let c = 12 - t. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -3111155?\nAnswer: 3111150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-36777)\/(-12) + -2)*12. Let z be 1 + 1 + i*(-8)\/12. Round z to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189022 is divided by 556?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -260 and -0.06.\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -26, -7, -0.4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 9\/348737?\nAnswer: 9\/348737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29, -12019, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-6)\/(-4))\/(8141\/1624 + -5) is divided by 56?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 5*s + 5*f - 445 = 0, -4*f - 436 = -5*s. What is the second derivative of -88 + s + 6*j - 3*j**3 wrt j?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 13 - 43. Let k = i + -13. What is the remainder when -1 + 2 - (0 - 2) is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.028 - 23.972. Let m = 11 + n. Let p = m + -4.1. What is p rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzaazzma. Give prob of sequence zz.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62*(-2)\/16*52\/((-351)\/(-27))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**4\/28 - s**2\/14 + 10. Factor w(u).\nAnswer: u*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11021222122 (base 3) in base 14?\nAnswer: -22b58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 562724*n**2. Let v(x) = -x. Calculate i(v(b)).\nAnswer: 562724*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 80*q - 96*q + 150589 + 136211. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59433773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 50 = 14. 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 value of 9 + 0 + 1 + -5 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/44 - (-8199)\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -322300 (base 4) in base 10?\nAnswer: -3760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19929221\/6395850 - -468\/14213. Let a = -81\/25 - t. What is the common denominator of a and (-2)\/(-5) - 131\/40?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/10)*z**(1\/12))**32\/(z\/(z*z**(-2\/5)\/z)*z*z**(1\/5))**45 assuming z is positive.\nAnswer: z**(-1667\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 0)*(-3 - -19). Let s = w + 18. Let m(v) = 4*v - s + 2. Let z(i) = i**2. What is m(z(d))?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/3 and 21\/876163 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -u + 26. Solve u*i = i - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r - 9*r - 24*r**3 + 10*r + (1 + 1 + 1)*(-7*r**2 + 7*r**2 - 4*r**3).\nAnswer: -36*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1033201100 + -232?\nAnswer: 1033200313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l - 7. Let j be i(6). Suppose o = -2*w - 0*w - 9, 4*w - o + 9 = 0. Sort j, w, 2 in descending order.\nAnswer: 2, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z = -36*z + 1320. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/2 + 2612505*z\/2 - 16981536.\nAnswer: 3*(z - 13)*(z + 870848)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -33*v. Let h(z) = 6328*z**2 + 2. Calculate m(h(j)).\nAnswer: -208824*j**2 - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3\/8, 35 in descending order.\nAnswer: 35, 4, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + 5*h + 2*h + 7*h - 2*h - 3*h + (3*h - 5 + 5)*(-5 + 2 + 2).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-11)*d*(d**(3\/11)*d)\/d*d**(-5)*d*d**(-5\/6) assuming d is positive.\nAnswer: d**(-961\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and ((-1)\/2)\/((-3)\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 25. Suppose 4*t + 4*o = o + 71, t - z = -4*o. Let m be (2\/(-3))\/(t\/102). Put 0, m, 18 in descending order.\nAnswer: 18, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*u + 5*u - 5*i, -i + 24 = 4*u. Suppose -u = -46*z + 44*z. Solve -2*n + z = -7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 3 + -3 - (-59 + 64).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - a - 11 = 0, -2*f + 5*a + 13 + 3 = 0. Solve 3*i = -4*l - 22, 4*i - 8 = 2*i + f*l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 69*t**2 - 10*t. Let m(u) = -129*u**2 + 19*u. Let x(f) = 9*m(f) + 17*y(f). Let d(r) = r**3 - 2*r**2 - r + 1. Let o be d(2). What is x(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 11:37 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2854*t + 3*t**5 + 336*t**4 + 55*t**4 - 2854*t + (1 - 1 - 1)*(t**5 - t**5 + 2*t**5).\nAnswer: t**5 + 391*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvvv. Give prob of sequence pvv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -26. Let k = -0.2 + 0. Let s = -58\/183 + -1\/61. What is the closest to k in s, -2\/3, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4768*l**2 + 3*l + 14225 wrt l.\nAnswer: -9536*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 11*h**8\/56 + 7*h**4\/3 - 33*h. Find the third derivative of s(d) wrt d.\nAnswer: 1320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 20*w - 20 = 8*c, -c = -w - 1. Solve 0 = -2*v + 4*r - 6, -3*v - 5*r - 9 - 22 = c for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + t + 3 + 1)*(0*t + 0*t - 3*t**3)*(-t - 42 + 42).\nAnswer: 3*t**5 + 12*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-231)\/(-105) - 3)\/2. Which is the biggest value? (a) -5 (b) m (c) 22 (d) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 7:55 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -15*v - 4. Let j(i) be the second derivative of -i**4\/3 - 10104*i. Calculate q(j(l)).\nAnswer: 60*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 152 - 68. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (62\/6)\/(1928\/(-11568))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 264.3 + -260. Let h = i - 6.3. Let g = 1.4 - 0.4. Which is the biggest value? (a) g (b) -1\/5 (c) 4\/3 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/36 - 38\/(-9). Suppose s*m - 15 = m. Suppose 7 = c - m*d, 0 = -5*c - 5*d + 9 - 4. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1506*q. Let f(y) = -6*y**2 - 874*y - 1. Give f(z(x)).\nAnswer: -13608216*x**2 - 1316244*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12896)\/(-11180) + (-5)\/((-25)\/(-6)).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2.2. Let d = 23785.14000034 - 23784.94. Let c = d + r. Round c to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 753931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 24*w**2 + 92*w - 1. Let p be m(-19). Calculate the greatest common factor of 581 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20471 = 3*q - 10474. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - 4 - (0 + (1 - -11))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3625780, -3625769, -3625758, -3625747?\n\"Answer: 11*c - 3625791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -263 (b) -1\/3 (c) 2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*sqrt(108)\/sqrt(4) + (0 + sqrt(147) + -4 - sqrt(147))).\nAnswer: -12 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - t = 112, 4*v - 4*t + 2 = 98. What is the lowest common multiple of v and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63 - 178 - 349*h**2 - 652 - 814*h**2 - 111 wrt h.\nAnswer: -2326*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1717073 divided by 1717073?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.6 times 8771.983?\nAnswer: 40351.1218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 38*t**2 + 95*t + 88. What is z(40)?\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2385439 + -3?\nAnswer: -2385442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/9 - 266330*d**2\/3 - 26599509002*d\/3 - 79797728018\/9.\nAnswer: -2*(d + 1)*(d + 199747)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22547, -90157, -202841, -360599, -563431, -811337?\nAnswer: -1104317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71929 + -71933.0137. Round w to one decimal place.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*y + 16 = 0, 2*y + 2 = 6*p - 11*p. Let v(l) = -17*l**3 + 9*l. Let d(c) be the first derivative of -c**4 + c**2 + 6. What is p*v(a) + 9*d(a)?\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -28*v**4 - 102*v**3 + 558*v**2 = 0.\nAnswer: -93\/14, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*sqrt(3))**2 + 0 + sqrt(243) + (sqrt(432) + -3)**2*1 + 2)*6.\nAnswer: -378*sqrt(3) + 2670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 12*x**5 - 27*x**4 - 9726*x**3 + 12177*x**2 - 2436*x = 0.\nAnswer: -28, 0, 1\/4, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-170)\/(-17))\/(-7 - -3)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = i - l, -4*l = 2*i - 9*l - 120. Calculate the smallest common multiple of i and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7069879?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*w = -4*w - 438 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -907.433586 rounded to the nearest 10?\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74 - -162. Calculate the remainder when o is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 3. Let a be 3 + (x\/1)\/6. What is the nearest to 1\/3 in a, 2\/7, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 15 = 0, 7*j - 8*j = 2*b - 112. Suppose 0*t - 72 = -2*t. Calculate the remainder when j is divided by t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126043549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19 and 1386.43630357.\nAnswer: 1367.43630357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b**3\/3 + 36560*b**2\/3 - 292672*b\/3 + 585472\/3 = 0. What is b?\nAnswer: -9148, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 3) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8907 (base 11) to base 9.\nAnswer: -17088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1636 + -0.7.\nAnswer: -1636.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30 - -30?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 14*s + 10. Let q be a(14). Solve 3*d - q = d - j, -3*j = -6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, u: 1, e: 2}. What is prob of picking 1 u and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 66530950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 20*l - 101. Let g be b(-4). Sort -2\/11, g, 3, 2\/9 in decreasing order.\nAnswer: 3, 2\/9, -2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1202\/1395 - 13\/155. Let m = -0.4 - -1.4. Is m <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/5 and -63\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 9*p + 5. Let f be h(-9). Suppose 2*v + 4*w + w = -5, -5*v - 5*w = f. Let m = 22 + -16. Solve g - m*g = v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 11*j**2 - 35*j - 116. What is v(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 9*x - 1. Let m(a) = 20*a + 34. Let n(q) = -7*q - 12. Let i(s) = -6*m(s) - 17*n(s). What is 2*b(o) + 22*i(o)?\nAnswer: -4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**6\/120 - u**5\/10 + 5*u**4\/24 - u**3 - 18*u**2. Calculate s(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.82 - 1.82. What is the smallest value in c, 5\/2, 7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 615723, 615718, 615701, 615666, 615607?\nAnswer: 615518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, 1, 4, 5, 4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.09 + 0.18. Let f = -1.06 + y. What is f rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 11:12 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -455.587 - -1052.\nAnswer: 596.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 75 = -5 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -604 - -1154. What is the smallest common multiple of w and 150?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 1. Suppose -o = 5*l - 4, -5*o - 2*l - 24 = l. Let i = o + 11. Give q(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 0. Suppose j*q - 16 = 38. Suppose -4*i = 14*x - 16*x + 4, -3*x = 5*i - 50. Calculate the remainder when q is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9214 + 9227. Solve -10*j = -13 + x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/2*125232\/(-144) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2 + 4 - j - 5. Let r be b(-3). Let x(q) = -q**3 + 2*q**2 - q + 1. Let w be x(1). Put w, 3, r in descending order.\nAnswer: r, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2978 + 29?\nAnswer: 3007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 222607160 to the power of 1\/3, to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/28 and 17\/1592738?\nAnswer: 3185476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 12:14 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 1:36 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190722 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9.2 - 10.92. Round a to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 4*h**2 - 2*h + 7. Let d(o) = 3*o**3 + 13*o**2 + 7*o - 21. Let i = -39760 + 39753. Give i*z(x) - 2*d(x).\nAnswer: x**3 + 2*x**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000015749 to seven dps.\nAnswer: 0.0000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, w: 3, k: 1, y: 4, m: 1, z: 1}. What is prob of picking 1 m, 1 k, and 1 z?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1 - (0 + -9 + 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 0*l - 239 = -l, 5*l = 10. Let t = -7 - j. Suppose 2*h + p - 75 = -0*p, -2*h + t = 2*p. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w - 5*w - 54 + 8 to i*w + l and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 63 (b) 4 (c) 0 (d) 396 (e) -4 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhhvkvkvjkjhv. Give prob of sequence jhkk.\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 25786977, 25786937, 25786897, 25786857?\n\"Answer: -40*d + 25787017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2548594 is divided by 637139?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174, 178, 184, 192, 202, 214?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 9*x**2 + x + 1. Let z(o) = -404*o**2 + 8*o - 16. Let d(t) = -14*i(t) - z(t). What is the second derivative of d(b) wrt b?\nAnswer: 556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*z**4\/5 + 1589352*z**3\/5 + 39468179529*z**2\/5 - 59204951352*z\/5 + 22202192016\/5 = 0. What is z?\nAnswer: -49668, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((-3)\/(-60)*5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -379 - -414. Calculate the remainder when 64 is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {g: 13, y: 5}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/31 - (10 - (-3454)\/682).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*d**2\/3 - 1558*d + 1336\/3.\nAnswer: -(d + 668)*(7*d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2033*u - 3089*u - 5180*u - 631*u.\nAnswer: -10933*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w + 3. Let m(l) = -4*l + 4. Let o = -26 - -31. Determine o*m(z) - 6*y(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*x**3 + 2*x**3 + x**3)*(3 + x**2 + x**2 - 2) + 364*x**3 - 119*x**5 - 364*x**3.\nAnswer: -137*x**5 - 9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(80))*6 + -3*(sqrt(80) - (-1 + sqrt(80) + 5))**2.\nAnswer: -120*sqrt(5) - 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/4)\/(15\/6). Which is the third biggest value? (a) 0.4 (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218202.\nAnswer: 2, 3, 41, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.45+7657376540\nAnswer: 7657376539.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51757971*f**2 + 80028329*f + 2?\nAnswer: -103515942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5\/5 - 192*r**4 - 36864*r**3 - 3538944*r**2 - 169869312*r - 16307453952\/5 = 0.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/722 and -21\/3610?\nAnswer: 3610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158290251.\nAnswer: 3, 7, 1423, 5297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 - 63. What is the nearest to p in -1, -0.2, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*d + 8 = 0, 2*s + 4*d + 5 = -3*s. Suppose 5*x - 5 = -5*g + 5, s*x - 6 = 3*g. What is the units digit of x*2 + -2 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62197 is divided by 57?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 584 in -3, 1, -0.183?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.22 times -0.35?\nAnswer: 18.277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/6 + (-2)\/18*-6. Let l be y*(-4 + 2\/2). Let b(p) = 7*p - 5. Let v(f) = f - 1. Let r(g) = b(g) - 3*v(g). Calculate r(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.165074 rounded to three decimal places?\nAnswer: 0.165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 206944719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29706, -118773, -267220, -475047, -742254, -1068841?\nAnswer: -1454808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 217 divided by -619\nAnswer: -217\/619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46131816 and 64?\nAnswer: 369054528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 4*r = 27, 4*i + 12 = 16*r - 25*r + 11*r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -9. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 - 2. Is 30 a factor of z(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2287.\nAnswer: 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(((u*u**(-2\/15))\/u)\/u)\/u*u**22*u**(-5)\/u**(-2\/47) assuming u is positive.\nAnswer: u**(11216\/705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92 - 87. Let u be (-1)\/3 - (-57)\/9. Is k < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**3*g)\/g*g\/((g*g*g**(2\/15)*g*g)\/g*g)*(g**2)**(-11))\/(g**(-5)\/(((g*(g*g\/g**2*g)\/g)\/g)\/g*g)*(g**(-2\/7))**(-36\/11)) assuming g is positive.\nAnswer: g**(-18559\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 468.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81176, 3, 5, -0.5.\nAnswer: -0.5, 3, 5, 81176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -100110101101110?\nAnswer: 100110101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 11. What is the common denominator of (-2)\/(-4) + (-4)\/(-64) and -2 - -5 - 67\/j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -631*r - 3153 = 811*r - 1282*r + 6287 for r.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or -38?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 2*x**2 + 127 + 2*x - 127.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/n**(-6))*n**(-4))\/(n**(-1\/4))**34)**(1\/8))**(-32\/5) assuming n is positive.\nAnswer: n**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(20\/7 - 3). Let q = 41 - x. Calculate the highest common divisor of 160 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.65 (b) 2\/17 (c) 6\/5 (d) -0.5 (e) 1 (f) 3\/7 (g) 7\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -112122000?\nAnswer: 112122001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 - 3151*i**4 + 35 - 16*i - 6045*i**4 wrt i?\nAnswer: -110352*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14547 is divided by 2742.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2053122.\nAnswer: 2, 3, 342187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*v - 6 + 26, -20 = 5*v. Let i = -4 - z. Suppose 5*h = -3*k + 38, 0 = -4*k - i*h + 4*h + 8. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -476, -4014, -13680, -32558, -63732, -110286?\nAnswer: -175304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.648 - 12.926. Let s = k + 0.078. What is s rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*z**5 + 16\/3*z**2 + 16\/3*z**4 + 4\/3*z + 8*z**3 + 0.\nAnswer: 4*z*(z + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573 a factor of 5319159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 50619890 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**2*k**3 + 153*i**2*k**2 - 2*i**2*k - 8*i**2 - i*k wrt k?\nAnswer: -6*i**2*k + 306*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -704*u = -708*u - 6*h + 46, 4*h = -12*u + 68 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2\/7 + 1628*o\/7 - 331298\/7 = 0. What is o?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*j = 0. Let y(c) = c**2 + 5*c + 2. Let d be y(-2). Let l be d\/(-7)*(-3)\/6. What is the nearest to j in -2, -1\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2411611*n - 5 = 2411613*n, -5*n = -7*q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -120 smaller than -931040?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1254 and ((-232)\/(-30) - 21) + ((-4)\/(-6) - 0).\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1238 + 1131.4. Let x = b - -107. What is the third smallest value in x, -4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 12*v = 20. Find the common denominator of -7\/10 and (4\/120)\/(v\/(-635)).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 + 4625688*b\/5 - 1850272\/5.\nAnswer: -4*(b - 231284)*(5*b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 417464.9 decades in centuries?\nAnswer: 41746.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1309*s + 4401*s - 125*s.\nAnswer: 5585*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 13 - 11 = -5*s, r - s + 2 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54728992?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*w + 3*f, -2*w + f - 4 = -w. Suppose -2*l + 11 + 21 = w. Solve -4*b + 4 = 4*q, -q + l = -0*q - 4*b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-76)\/(-3) + 6 + 64\/(-12). Let k(p) = 19*p + 7. List the prime factors of k(n).\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4 + (-22)\/(-4). Suppose u*x - x = 20. Suppose 0 = w + w - 3*t - 31, -x*w = -5*t - 67. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -2242430145?\nAnswer: 2242430152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 84 = -5*x. Let t = x + -15. Calculate the common denominator of 21\/16 and (t\/(-36))\/(4\/(-378)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 244*s**3 - 18807*s**2 + 1487*s - 1861. Calculate c(77).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1095.35 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1099*q**2 - 1165*q**2 + 3*q**3 + 4*q**3 + 2*q**3 - 1170*q**2 + 3434*q**2.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/(n**(-20)\/n*n))\/(n*n**(-1\/8)))\/(n**34\/n**(-36)) assuming n is positive.\nAnswer: n**(-383\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 114 = 3*m + g, -3*m + 72 = -3*g. Suppose -3*h - 2*n = 12, -m = 4*h + 2*n + 3*n. What is the third smallest value in -3\/5, h, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11907.3126 rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182 - 282 = -46*f + 502 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2. Let z(k) be the first derivative of -2 + 0*k - 3\/2*k**2. Determine z(m(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2188*w**2 - 200*w + 199. What is y(1)?\nAnswer: -2189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b287 (base 13) to base 15.\nAnswer: 34916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 25*w - 6. Let h(u) = 2*u. Determine x(h(c)).\nAnswer: 50*c - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lnnnnnnnlnl. What is prob of sequence lln?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (7 + -9)) + -40 + (18 - 9)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 - -77. Let v be 3*-2*(-10)\/4. Let z = v + r. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**2\/2 + 3*d + 1. Let t be z(-3). Let m(i) = -i - 1. What is m(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25 + 25 + 3*g + 4*g - 3*g - 4*g + 5*g - 4*g + g + (-2*g - 2*g + 3*g)*(4 - 1 - 2))*(4 + 7 - 4) to the form v*g + x and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5877 - -1.4123. Which is the nearest to 3\/11? (a) p (b) 1\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 464 - 462.155. Let a = t + 0.147. Let x = 2 - a. What is x rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 18*z + 60. What is the units digit of y(18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8643 + -8644. Do v and 1\/4507 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -195 or -2158\/11?\nAnswer: -2158\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4470129\/693446 - -2317\/358. Calculate the common denominator of 54\/143 and v.\nAnswer: 21307","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 4*b + b)*((0 + 0 + 1)*(17 - 39 + 33) - 5 + 2 + 1)*(-3 + 3 + 2).\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -162, -249, -338?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 147, 1357, 4645, 11049, 21607, 37357?\nAnswer: 59337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Let i = -0.89 - 9.21. Let d = -10 - i. Which is bigger: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*o**3 + 248*o**2 - 87*o**2 - 83*o**2 - 78*o**2.\nAnswer: 178*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10\/99 - 26\/33. Let m = -7\/18 - n. Suppose -3\/2*p - 1\/2 - 3\/2*p**2 - m*p**3 = 0. What is p?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 1.18, 2, -3\/5, -433\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037972049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1685 and 472811?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 3:57 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 40 = -9*z. Let s(q) = q**2 + 8*q - 15. Let k be s(z). Suppose 0 = r - k*r - 2*m - 8, m + 4 = 3*r. Sort r, 28, -2 in increasing order.\nAnswer: -2, r, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -8*c**3\/3 + c**2\/2 + 15*c. What is the derivative of s(q) wrt q?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -647 + -32.74.\nAnswer: -679.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9.56+56.49\nAnswer: 66.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (100\/(-16))\/((5 - 0)\/(-20)). Solve 10 = 3*c - c + 3*l, -5*c + 5*l = t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 879724 and -76.9.\nAnswer: -67650775.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -894 + 930. Calculate the highest common factor of q and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2 + 370128*k + 20733440 = 0. Calculate k.\nAnswer: -56, 185120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939964743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/3 - 10*i**2\/3 - 304*i\/3 - 256.\nAnswer: 2*(i - 16)*(i + 3)*(i + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205336.\nAnswer: 2, 25667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7691737.\nAnswer: 239, 32183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/3 + (-12)\/(-9). Let j be (-43)\/(-8) + (-3)\/u. Suppose 2*h = j*h - 99. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eubb when four letters picked without replacement from {e: 1, u: 1, b: 16}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 85.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 14 = 2*u, -2*k + 22 = 5*u - 13. Let i = -17 - -20. Suppose 0 = 5*f - 2*f - 4*p - 6, 5*p = 2*f + i. Solve -4*c = -u*c - f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42352*d - 42352*d - 37*d**2 - 44*d**2 - 47*d**2.\nAnswer: -128*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 20 = 7*u - 2*u, -2*u - 6 = 0. Let b be (4 - (3 + i))\/1. Suppose 3*l - l - 22 = b. Calculate the least common multiple of 7 and l.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 6 - 0) + 9 - 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -201229\/4 or -50308?\nAnswer: -50308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 4:33 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/33)\/((-21030)\/(-2103))?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.7 times 3900?\nAnswer: 150930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**17\/(j**26\/j))**(-6) assuming j is positive.\nAnswer: j**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 - 162*s**2 + 987*s.\nAnswer: 3*s*(s - 47)*(s - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2000, -3999, -5998, -7997?\nAnswer: -9996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16 in 0.5, -1\/5, -1\/2, 2\/17?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289*r**2 + 18 + 288*r**2 + 261*r**2 - 18 + 253*r**2 - 1084*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + (-1 - (-4 + -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.26362 millimeters in meters?\nAnswer: 0.00626362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*m = -3*r - 27, -m + 11 = -r. What is the common denominator of (-15)\/44*2\/3 and (r\/(-2))\/(-10) + -45?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 58312 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 - 1 - m**2 + 2*m**3 - 2*m**2 + m**2 - m**4 as p*m**3 + x*m + v + b*m**4 + g*m**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Let t be (805\/550)\/(-3 + 4). Let g = 2\/55 + t. Which is smaller: u or g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 494911040 divided by -2710?\nAnswer: -182624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 380 and 161060?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5034)\/22 + (-4)\/22. Let y = 505 + b. Let f be y\/10 + (-4)\/(-10). Solve 0*x - f = 2*g - 5*x, -5*x = 5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102203101 (base 4) to base 10.\nAnswer: -75985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1065414, -44, 5 in ascending order.\nAnswer: -1065414, -44, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 - -49 - (2 - ((0 - 0) + -1))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -11 - (32 - 14).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.194 and -54498.\nAnswer: -10572.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284*o - 261*o - 5773 = 0. What is the smallest common multiple of o and 10?\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 + p + 10. Let f be t(-5). Let x = f - -68. Let q(d) = 41 - d**2 - 18 - x. Let h(g) = 2*g. Determine q(h(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-54))\/(8\/24).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 9 = -5*h, -4*h - 219*x = -214*x + 27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 16*h + 34. Calculate the remainder when r(18) is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 14*d + 1 - 6 + (-2 + 1 + 2)*(29 - 29 - 2*d) in the form o*d + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-357)\/170)\/((-105)\/(-60))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -16, 284545 in decreasing order.\nAnswer: 284545, 0, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 = -k. Let z be (k\/5)\/((-3)\/90). Solve 0 = 2*h + 3*l - z, 3*h + 0 = 3*l + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-6))\/((-2)\/(-4)). Suppose 0 = v - 5*v. Is j < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 r, and 1 g when three letters picked without replacement from {g: 1, b: 1, r: 1, l: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -243*u + 4906. Give t(19).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 688965049?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 850494, 850517, 850540?\nAnswer: 850563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310 + 307 - 875 - 2*h**2 + 258.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 f when two letters picked without replacement from {v: 1, f: 6, q: 2, s: 3}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 - 3746*f + 37165. Give c(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2700809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77953848?\nAnswer: 2, 3, 7, 464011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 100244?\nAnswer: 100247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 764*a**2 - 392*a**2 + a**4 + a**3 - 3*a**4 + 1 - 4*a - 386*a**2 to the form p*a + r*a**4 + o*a**2 + y*a**3 + k and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 1, -74, 54 in decreasing order.\nAnswer: 54, 11, 1, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.100497 rounded to three dps?\nAnswer: -45.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/5422088 and -123\/140.\nAnswer: 27110440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 + 83076058152869*x - 83076058152869*x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-17)*n\/((n**21\/n)\/n)*n assuming n is positive.\nAnswer: n**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129, -130, -161, -234, -361, -554, -825?\nAnswer: -1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36575456 a multiple of 817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39.075 + -39. Let m = b + 10.325. Let s = 10.51 - m. What is the closest to -1 in s, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzs when three letters picked without replacement from {w: 3, z: 1, s: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 138*s - 2 + 36*s + 19*s.\nAnswer: -83*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18702 in -4, -69, -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 869*y + 1586*y**2 + 300*y - 1581*y**2.\nAnswer: 5*y**2 + 1169*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + 2*p + 2*p)*((p - p - p**3)*(2 + 4 - 3)*(-p + p + p) - 3*p**4 + 2*p**4 - 4*p**4).\nAnswer: -64*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 3. Let l be o(5). Let v(y) = y**3 + 3 + 3*y**2 - 5 - y + y**3. What is v(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 665669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 100320.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 10 = 4*d, 5*d + 6*s = 33 - 45. Solve -5*c - 10 = -d*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6824701.\nAnswer: 13, 17, 30881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*q**2 + 29*q**2 + 3 + 501*q - 465*q - 24*q**2.\nAnswer: 39*q**2 + 36*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 1, -38, 4 in decreasing order.\nAnswer: 31, 4, 1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2340 and 2444.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*s = -218. Does 22 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 820 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110000011100111010000100000 + 100?\nAnswer: 10110000011100111010000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1316 and 2021.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7*u**2 + 5*u - 23. Let z(r) = 3*r**2 - 3*r + 11. Let i(v) = 4*t(v) + 9*z(v). Give i(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -552*((-4)\/(-8) + 22\/(-12)). Suppose 4*f - 4*o = d, -o - 737 = -5*f + 167. What is the greatest common factor of 30 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144 divided by -2\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(3\/10)*b*(b**18*b)\/b assuming b is positive.\nAnswer: b**(197\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5175903 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = q - 4*y, 3*q = -3*y - 2*y + 28. Suppose q*m + 102 = 28*m. What is the least common multiple of 7 - 0*(-2)\/(-4) and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 6, x: 12}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1 - 3*q + 8*q**2 - 9 + 7 - q**2. Is z(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -305*t**3 - 401*t**3 - 960*t**3 - 155*t**3.\nAnswer: -1821*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-6 + 8 + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -64.8.\nAnswer: 54.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -3, -18 in ascending order.\nAnswer: -18, -6, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 2:08 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 12:47 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = 211*o - 219*o. Suppose 20*k = o*k - 294600. Round k to the nearest one thousand.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45307 + -27852. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -221 (c) 4 (d) 1 (e) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o - 11. Let x(t) = -7*t + 23. Let q(u) = -7*f(u) - 4*x(u). Let m = 1486 - 1469. List the prime factors of q(m).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118486.\nAnswer: 2, 59243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 531, -1, 3, 26, -2.\nAnswer: -2, -1, 0, 3, 26, 531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) + (-1*sqrt(72))\/sqrt(12) + sqrt(6))*-4)\/(-2*sqrt(288)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -1512?\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, s: 6, m: 6, u: 1, d: 4}. What is prob of picking 1 s, 1 u, and 2 m?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 10 = -30. Let d = -44 + 54. Suppose d*p = 2*p + a. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3622401332 a multiple of 2101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 43 - 22 + 45)*(-1 + 0 + 3).\nAnswer: 2*q + 132","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18506 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2322 + 33410?\nAnswer: 41232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -8*f + 4. Suppose 0 = s + 5*w - 156, 5*s - 4*w + f*w - 884 = 0. Does 18 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24409710?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79638.\nAnswer: 2, 3, 13, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2433147 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.308 - 0.218. What is c rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2664 and 48894686.\nAnswer: 1760208696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 3*s**2\/2 + 23*s - 23. List the prime factors of l(16).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -527 and -8\/1001 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 - 20. Suppose -t = z - 26. Is (21861\/(-36))\/(3 - (-26)\/t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9a (base 14) to base 15\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 3:43 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2 + 1. Let h be t(-1). Suppose -d + h*d = 4800000. What is d rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3*21\/(-14)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + -37. Suppose f + i = 5*f - r, 3*f + i = 5. What is the remainder when 3 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 2:06 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -85*t**2 - 593*t + 679. What is j(-8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 12517*u**2 - 2 + 4 + u**3 - 12522*u**2 - 8*u. Determine j(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17638*l**3 + 35399*l**3 - 2*l + 5 - 5*l - 17669*l**3 to the form j*l**3 + w*l + n*l**2 + g and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -5. Let f(g) = -4 + 2*g**b + 2*g - 2*g - 5*g + g**3. Let h be f(-3). Solve 5 = 2*o + h*o - 3*u, -2*o - 5*u = -35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 280 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7414141*y. Let j(d) = -3*d**2. What is j(z(r))?\nAnswer: -164908460303643*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 493616, 493618, 493620, 493622?\n\"Answer: 2*i + 493614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*v - 45*v - 31*v)*(-1 - 3 + 11)*(33*v - 419 + 419).\nAnswer: -11781*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 14*s - 4. Let u(c) = -37. Let j(h) = h + 59. Let y(k) = 5*j(k) + 8*u(k). Calculate 6*f(d) - 17*y(d).\nAnswer: -d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x - 64 = -266*r + 270*r, -3*r - 3*x - 30 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 3*x**2 - 5*x + 1. Let o be u(-4). Suppose -z + h + o = 0, -2*h - 13 + 3 = -z. Suppose z*s = -s + 8. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -9*r + 8. Give p(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33977*n - 24699 with respect to n.\nAnswer: -33977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -525 + 527. Let y(h) = -h**2 + 7*h. Let b(f) = 3*f**2 - 2*f. Let x be b(-1). Let p be y(x). Solve n = -4*c + p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -133033\nAnswer: -26606.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 109464\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1018, 681, -232, -2009, -4938?\n\"Answer: -48*i**3 - i + 1067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v + 24. Let z(x) = 1. What is 3*u(c) - 72*z(c)?\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/6*(48\/(-2))\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 18. Suppose 2*k = -p - 4, 2*k + 3*k = 2*p - 19. Suppose 52 - 164 = -p*j. What is the highest common divisor of j and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/6 + 4\/(-6). Let n(a) = 10*a**2 + 4*a - 12. Let c(u) = 3*u**2 + u - 4. Let h(r) = 7*c(r) - 2*n(r). Determine h(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 2\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -178.68 - -184. Let r = -8.2 + s. Round r to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*x = 2*z - 89*x + 9, 4*z = 3*x - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + i + 7, -5*n - 4*n + 14416 = -5*n - 9*i + 14419 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 133411 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*u*u**2))*u)**(2\/71)*u*u*u*u\/(u\/u**(2\/11)*u)*u**(-6) assuming u is positive.\nAnswer: u**(-2872\/781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34366448?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 736 plus -6?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 - 177*d + 1712. What is c(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -281 - -15765. Is s a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 483 - 338. What is the highest common factor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279741 - -941387.14.\nAnswer: 1221128.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 12) to base 15.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(8) - sqrt(128)\/sqrt(4)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/7, 0, 1\/5, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-17 + 36 + -10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 8, -13, -3\/5, 10\/7, 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/12*(2 + -1 - -19). Let t = 48 - r. What is the least common multiple of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 + 39*n - 28. What is s(-20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10784471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(63) + 0 + (sqrt(441) + sqrt(441) + sqrt(441)*-1)\/sqrt(7) - (2 + sqrt(567) + 3)) + -1.\nAnswer: -9*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002992407 rounded to 6 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -6*s**2 + 31*s - 31. Let f = 18 + -22. Let g(d) = -2*d**2 + 10*d - 10. Let v(w) = f*l(w) + 14*g(w). Factor v(m).\nAnswer: -4*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/11 (b) 11 (c) 10.2 (d) 288 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45\/8 of a milligram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -2, -575, 13, 12, 0 in descending order.\nAnswer: 13, 12, 0, -2, -3, -5, -575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15473*u**3 - 136*u**2 + 2*u - 5561453 wrt u.\nAnswer: -92838*u - 272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5535*s**5 + 77*s**3 - 815268*s**2.\nAnswer: 332100*s**2 + 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1221 - -1223. Solve s = x, 2*x + o = -5*s + 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32817870.\nAnswer: 2, 3, 5, 364643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 149577677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + p = -14, 2*p - 921 + 941 = -4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f, 79*b - 82*b + 2*f = 6*f - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16177*n**2*o**2 - 84*n**2 + 3*n*o**3 - n - 123 wrt o?\nAnswer: -32354*n**2*o + 9*n*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6085 + 24277 - 6061 - 3*o - 6071 - 6060.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/512113 and -52\/512113.\nAnswer: 512113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 - 4*m)*(-5 + 1 + 2) + 12*m + 10*m + 13*m)*(-4 + 1 + 1) as f + h*m and give h.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115861578?\nAnswer: 2, 3, 7, 37, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-1 + 3)) + 6 + 2635\/(-403)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 3331 - 3307 = 0. Let k(o) be the first derivative of -5 - 1\/4*o**4 + 0*o + o**3 + n*o**2. Calculate k(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (42\/(-28))\/(-2 - -5)*-2116. What is the greatest common divisor of 46 and n?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4967183 is divided by 1420.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 334.4407 rounded to zero dps?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 4*f + 11. Let s be y(-8). Let j = 7 - s. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((-5)\/500*-40)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 t when two letters picked without replacement from {t: 1, m: 2, k: 1, b: 1, u: 2, s: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/4331833 and 95\/23988.\nAnswer: 51981996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t - 31. Let q be b(-34). What is the hundreds digit of (10605\/q)\/7 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -348*c**2 - 11658*c - 1 wrt c?\nAnswer: -696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/21)*g*g)\/g)\/g**(2\/15))**(-4\/5) assuming g is positive.\nAnswer: g**(-108\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 + (-81)\/(-3))*-7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -22 (b) -19609 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 321, 496, -4, 4 in decreasing order.\nAnswer: 496, 321, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17335367 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4773 and 5106?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - 3\/3) + 8. Suppose -k*f + 5*h + 4 = -7, -2*f - h = -9. Sort 7, f, 0, -4.\nAnswer: -4, 0, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, b: 2, j: 6, y: 8}. What is prob of picking 3 y?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 7 = 2*r, -3*f + 2*r - 1 = 18. Suppose -5 - 5 = 3*o + 2*y, 2*o + 3*y = -15. Does 9 divide f - 0 - -15 - o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**5\/60 + b**4\/3 + b**2 + 2. Let s(w) be the second derivative of q(w). Let z be s(8). Solve 3*n = -z*n + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20\/21 or 2?\nAnswer: 20\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89602239?\nAnswer: 3, 43, 694591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2. Suppose -k + 2 = 0, i*l = -5*k + 27 - 11. Suppose 8*j + 21 = -11. Sort j, 23, l in decreasing order.\nAnswer: 23, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, -2\/13, 30, -4, -6, 0 in ascending order.\nAnswer: -6, -4, -5\/2, -2\/13, 0, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1299971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 215, 474, 817, 1232, 1707, 2230?\nAnswer: 2789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 259 divided by -1?\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -91, -383, -819, -1405, -2147?\n\"Answer: -x**3 - 66*x**2 - 87*x + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42294 by -1381.\nAnswer: -42294\/1381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -3*d**2\/2 - d + 2. Let q be h(-1). Suppose 16 = 2*y + t, -q = -y + 2*t - t. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9)\/((-2)\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 1\/5*t**5 + 0 - 1\/3*t**4 + 4*t + 0*t**3 + 0*t**2. Find the third derivative of h(o) wrt o.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 19*w**2 - 1. Let t(x) = -107531*x. Determine t(i(c)).\nAnswer: -2043089*c**2 + 107531","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55.1341963 - -1.1341913. Let f = -0.131 + -53.869. Let z = f - i. What is z rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 64 - -41310?\nAnswer: 41404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 9:21 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)*x*x)**(32\/9)\/(x\/x**(-1\/3)*x)**23 assuming x is positive.\nAnswer: x**(-193\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/12)\/((-3420)\/(-513)).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/6)\/((-1)\/3). Let f = -93 - -99. Which is greater: i or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*p - 20, 2*i = -4*p + i + 19. Suppose -p*w - 7 = -4*w. Is w not equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 56661104893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8356049*f + 17690150 wrt f?\nAnswer: 8356049","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (8 - 12 - 18)) + 1*4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1843282, -1843280, -1843278, -1843276, -1843274, -1843272?\n\"Answer: 2*l - 1843284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -159.12001?\nAnswer: 163.12001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34465, -138009, -310583, -552187, -862821?\n\"Answer: -34515*p**2 + p + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) - sqrt(228)\/(sqrt(48)\/sqrt(4))) + -4)*-2)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrcrkcprrccckkr. What is prob of sequence rkr?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 6 - 3)*(-3*q - 3*q + 2*q)*(0 + q**4 + 0) + 0*q**5 - q**5 - q**5.\nAnswer: 62*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.1 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - (1 - (-6)\/6))\/(-8). Which is the nearest to 1\/3? (a) -0.1 (b) -0.11 (c) s (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbsbbbbbbsbsbbb. What is prob of sequence bsbs?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.01 + -4. Let v = -0.31 + w. Let k = v - -0.3000005. What is k rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 4*f + 296, 32*f - 36*f = 5*x - 424. What is the greatest common factor of 280 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 10, a: 5, k: 4, n: 1}. What is prob of picking 1 n and 2 a?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -42091.726 rounded to the nearest ten?\nAnswer: -42090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(4\/15)*i**(-1\/34)*i*(i*i\/(i*i\/(i\/(i\/(i*(i**(1\/16)\/i*i*i)\/i)))*i))\/i**(-2) assuming i is positive.\nAnswer: i**(13463\/4080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -173964*p**3 + p**2 + 351407*p**3 - p - 175470*p**3 as q*p + c*p**3 + z + s*p**2 and give c.\nAnswer: 1973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -8*p - 4. Let i(z) = 24*z + 13. What is 7*c(x) + 2*i(x)?\nAnswer: -8*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2642878 - -444.6.\nAnswer: 2643322.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, o: 2, w: 4, q: 1}. What is prob of picking 2 o?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7 + 2*b + b + 7. Let a(c) = -c. Give 8*a(o) + 3*m(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 3\/7 (c) -4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -1405*r - 2825. Let c(u) = u**2 + 703*u + 1411. Let o(l) = -5*c(l) - 3*g(l). Find d, given that o(d) = 0.\nAnswer: -2, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 22*m**2 + 96*m - 24. Let v be c(-13). Calculate the greatest common divisor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1442 + -10.1442. Sort t, -85, -2 in descending order.\nAnswer: -2, t, -85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/4659396 and 103\/332814.\nAnswer: 4659396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/7 and -109\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q = -13*q + 9 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 + 248 - 248 - 2*u**2 - 113*u.\nAnswer: u**2 - 113*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -102*y**3 + 34872*y + 6759622 with respect to y.\nAnswer: -306*y**2 + 34872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d + 52*a = 2895, -3*d - 2*a + 134 = -0*d - 1 + 26 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*d - 6*d + 10*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979634.\nAnswer: 2, 489817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*f - 24887 = -205*f - 5*z, 4*f + 3*z = 24881. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 * 0.439\nAnswer: 15.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52403 a multiple of 377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -56\/3. Let l = 0.03 + 0.01. Let k = l - 0.24. Sort k, 1\/2, s.\nAnswer: k, s, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -0.0659, -0.2, 0.0899.\nAnswer: -0.2, -0.0659, 0.0899, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-426 - -436) + (69 - 5)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 11*z**2. Let y(p) = 7*p - 6. Let c(g) = -g + 1. Let a(o) = -6*c(o) - y(o). Determine t(a(u)).\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 230858 or 230857?\nAnswer: 230858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5298*w**2 - w**3 + 48 + 584*w**2 + 53 - 103.\nAnswer: -w**3 - 4714*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*l + 192 = 0, 3*u + 2*l = -2*l + 192. What is the remainder when 382 is divided by u?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, t: 7, x: 5, a: 1}. Give prob of picking 2 x, 1 t, and 1 c.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/10)\/i**(-2\/11))**(1\/60)*(i**0)**(-8\/9)\/(i**(2\/5)*i**(-3\/5)) assuming i is positive.\nAnswer: i**(443\/2200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -65 (base 16) to base 2\nAnswer: -1100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133108.\nAnswer: 2, 107, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89\/28 + -15\/4. Let r be 3\/(-4)*-4 - -2. Suppose 1 - r = -4*s. Which is the closest to s? (a) -0.5 (b) -0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 1, 3, -2 in ascending order.\nAnswer: -2, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -3. Sort 0.2, -1\/7, o in increasing order.\nAnswer: -1\/7, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 0) + 2633 + 36\/3. Suppose 8*r = -r + m. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-42))\/(13\/91).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2800*m**2 - 225*m - 450. Let f(u) = 25*u**2 + 2*u + 4. Let w(c) = 225*f(c) + 2*l(c). Let o(q) = -3*q**2 + 5. What is w(o(k))?\nAnswer: 225*k**4 - 750*k**2 + 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2661 and 1422.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from poxpppxpookoopkpkox?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82310?\nAnswer: 2, 5, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -106*d + 106*d + 4*d**3 + 2*d**2 + d**3 + 2*d**3 - d**3 + (d**2 + 1 - 1)*(-3*d + 3*d - d) + d - d - 2*d**3.\nAnswer: 3*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275) + 2*sqrt(275) + 1.\nAnswer: 1 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 442 by 5.\nAnswer: 442\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1974 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.4 - -42.6. Let r = 719705 - 719652.99692. Let y = r - u. What is y rounded to 4 dps?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12*(-5)\/(-8)*(-2 - -24). Suppose 4*a = -a + j. Calculate the greatest common divisor of a and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 59230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-24)*2)\/(8\/4)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -27*h + 3. Let k(a) = a + 4. Let i be k(-3). Let d be 0 + -4 + i + 2. Let w be s(d). Calculate the greatest common divisor of w and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 96 - (46 + (37 - -105)).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o + 11 = -8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -595b76 (base 12) to base 15.\nAnswer: -1d6ed3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 4 + w + 0*w + w. Let s be v(3). Let o = -2\/71 - -148\/213. Which is the biggest value? (a) 1\/4 (b) o (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 129, 142?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -139006158032\nAnswer: -139006158032.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 412866 and 399?\nAnswer: 54911178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2064109 + 47?\nAnswer: 2064156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1\/3 (b) -903 (c) 3\/8 (d) 10 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -339420705, -678841412, -1018262117, -1357682820, -1697103521, -2036524220?\nAnswer: -2375944917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-1260)\/216)\/((-35)\/(-252)*6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 5 + 1. Suppose 2*y = -0*g + 4*g + 114, -25 = g - 4*y. Is j + 1 + 3 - g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0452 + -172.0452. Let f = -111 - n. Sort -0.2, -4, f in descending order.\nAnswer: f, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -187 - -247. What is the hundreds digit of 176 + (w\/15 - 4\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.9 - -3. Suppose -4*v - 21 = 5*k, -3*v = 3*k + v + 19. Which is the closest to f? (a) 1 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010143454039 rounded to 5 decimal places?\nAnswer: -0.01014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 1. Let q be u(4). Let k be (-4)\/q*5\/(-2). Differentiate 2 + 3*f**k + 0*f**2 - 4*f**2 with respect to f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/3 + 6\/(-9). Suppose -21 = -v - 5*k, v - 15 + 6 = -2*k. Solve -v = -m - c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 7, -14, 2 in increasing order.\nAnswer: -14, -4, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*t = -210. Suppose -t = 19*j - 26*j. Find y such that -2\/3*y + 0 - 10\/9*y**j + 2\/9*y**4 + 14\/9*y**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/4 - -5 - -19. Let k = 148 - 79. Calculate the greatest common factor of k and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1209 + 5496 = 8*q. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 i when two letters picked without replacement from {y: 4, i: 6, o: 1, h: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*y - 4*x - 52 = -58*y - 7*x, 4*y + 22*x - 300 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14670 is divided by 104.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287108?\nAnswer: 2, 71777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/384*16*(((-288)\/142 - -6) + -4).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1438 (b) 52\/111 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -458180 divided by -3695?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjyj when four letters picked without replacement from {j: 7, y: 5, u: 2}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*v = -r + 80, -5*r = -5*v + 135. Let z = 29 + r. Solve -6 - 9 = -z*g + 3*f, f = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/30 + 10\/3. Suppose k*i = i + 225. Suppose -7 = 4*n + 2*p - 181, 5*n - i = -4*p. List the prime factors of n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -61.8 - -69. Let h = 7.596 - f. Let n = h - 0.45. Round n to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -93465a + 7?\nAnswer: -934653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4*t - 1 - 3*t)*(-6 + 3 + 4).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**5\/4 - 6075*m**4\/4 + 24377*m**3\/4 + 370983*m**2\/4 + 249272*m + 200607 = 0 for m.\nAnswer: -6079, -3, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/692660 and 3\/69266?\nAnswer: 692660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**5\/210 + 93*b**4\/28 + b**2 - 717. Factor t(r).\nAnswer: -2*r*(r - 279)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(((g\/(g*g\/g**11))\/g*g)\/g)*g*g))\/(g\/(g*g*g\/g**(-19)))*(g*g**(-2\/13)*g)\/((g**(-2\/5)*g)\/g) assuming g is positive.\nAnswer: g**(1966\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**5\/330 + 31*f**4\/132 + 238*f**3\/33 - f**2 + 122*f. Solve k(p) = 0.\nAnswer: -17, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**3 - 61*a + 67*a - a**4 - 4*a**3 to v*a**2 + o*a**4 + d*a**3 + b*a + t and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -11. Let v(w) = 3*w + 42. Let k be v(r). Solve -k*q - 8 - 1 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -130*j**3 + j**2 + 13*j + 38. Calculate the smallest common multiple of 528 and x(-2).\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m + 14 - 14. Suppose -2*l - l - 96 = m. Let h = 71 + l. What is the remainder when h is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 13*a**3 - 7*a**2 - 4*a + 7. Let m(r) = 6*r**3 - 3*r**2 - 2*r + 3. Suppose 178*y - 1608 = 176*y. Let k = y - 801. What is k*v(s) - 7*m(s)?\nAnswer: -3*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/521 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 7*p**2 + 3*p - 1. Let z(y) = -50*y**2 - 7*y - 122. Let c(a) = -33*a**2 - 5*a - 76. Let v(k) = -8*c(k) + 5*z(k). What is -3*v(j) + 5*x(j)?\nAnswer: -7*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/4517814 and 67\/215134?\nAnswer: 4517814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(13) + (sqrt(13) - ((sqrt(91) + 1*sqrt(91) - sqrt(91) - sqrt(91))\/sqrt(7) - sqrt(13))).\nAnswer: 2 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 33023868.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27518349 to the power of 1\/4, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4207440529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005333 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1245 divide 5316150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98 + 107. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60884?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/7)\/((-2)\/6). Suppose -2 = 4*s - r, -15*r + 12*r = 6. Which is greater: s or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**5\/20 - 7*g**4\/12 - 7*g**3\/6 - 4*g**2 + 3*g. Let f be m(-6). Which is the nearest to 1? (a) -1\/5 (b) f (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17117*t - 3720 = -16962*t for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011101111 (base 2) to base 12.\nAnswer: -13a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 3\/5, -81, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*-10847.48.\nAnswer: 7593.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 8*t**2 + t + 1. Let u be a(-1). Let p be (-12)\/(-36)*3\/u. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -4, 1145, -1 in increasing order.\nAnswer: -4, -1, 1, 2, 1145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 1210*w + 15 = 1208*w, 5*n + 2*w = -5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/81 and 4\/12*1*(-1643)\/7285.\nAnswer: 19035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 - -445\/4. Let r = 2.7 + -3. Sort 0.4, r, m in ascending order.\nAnswer: m, r, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3))**(-40)\/(m**(-9)*m*m**16) assuming m is positive.\nAnswer: m**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 24)\/(-1 + 0). Let h = c + 24. Factor 1\/2*f**3 + 0 - 1\/2*f**4 + h*f + 1\/2*f**2 - 1\/2*f**5.\nAnswer: -f**2*(f - 1)*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -1\/24*y**4 + 3*y**3 + 0*y + 0 - 9*y**2. Let p be i(15). Solve -4*c - 6*r + r + 17 = 0, -3 = -p*r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 + 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 1 - 4 = 0. Calculate the common denominator of 45\/14 + 1*-2 and (0 - d\/(-4))*-37.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*x - 4*j, -4*j + 16 = 4*x - 0*x. Let k be 2\/(-5) - x\/(-10). Which is the second smallest value? (a) k (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-5)*(1 + -10). Let b be 3\/h + 153900042\/9. Suppose -5700001 = -a - f, -3*a + b = 4*f + f. Round a to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4010253 (base 6) in base 13?\nAnswer: -67776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 642, 1658, 2674?\nAnswer: 3690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2052 (base 13) to base 3.\nAnswer: -20010020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.037 + 0.037. Let g be (90\/36)\/(5\/54). Put d, g, -2\/5 in ascending order.\nAnswer: d, -2\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 518 + -478. Calculate the remainder when 62 is divided by a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 - 34192*h + 102792*h - h**3 - 34199*h - 34244*h.\nAnswer: h**3 + 157*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10272683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*h = 210*h - 13800. What is the remainder when h is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1429*z + 528 = 1341*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121 and 1650?\nAnswer: 18150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {w: 7, x: 3, i: 8}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 4*d + 5. Let k be b(-4). Suppose -2*x + 4*x = 2*i - 2, 7 = -4*x + k*i. Solve -x*j = -j - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 14. Suppose 2*m - 3*y - 1 = 0, -m + n*y - 3*y = -8. Solve 2*k + m*d + 23 = 0, -5*k + 2*d = -10 - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 566, 1135, 1704, 2273, 2842?\n\"Answer: 569*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q = 11*q - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197, -188, -163, -116, -41, 68, 217?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 3*b = 16, -3*d - 864*b = -867*b + 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 460*r - 445*r - 5*s, -5*r = s + 13 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-3)\/6)\/1*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -205, -344, -461, -544, -581, -560, -469?\n\"Answer: 2*n**3 - n**2 - 150*n - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -15.5778.\nAnswer: -12.5778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 712603.795 to the nearest one thousand.\nAnswer: 713000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30719?\nAnswer: 13, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-3 + -6 + 7 - (-15 - -11)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8729*q - 3178*q + 1553683 = 3476*q for q.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 24*c**2 + 145*c + 122. Give m(18).\nAnswer: 788","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 39293\nAnswer: 14\/39293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 4*y - 26, -4*f - 9*y - 55 = -11 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 145 + -143. Suppose -9 = -2*w + 1, -c*i + 3*w + 35 = 0. Let x(s) = -4*s**2 - i*s + 4 - s**3 + 13*s + 19*s. Give x(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3414180264 a multiple of 2634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 74770815 divided by 305187\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48*-1.2675.\nAnswer: 60.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, 2, 6.\nAnswer: -3, 2, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108584987 and 9123.\nAnswer: 3041","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114330 = -8649*j - 6756 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 8\/27*o**4 - 31\/27*o**3 + 2\/3*o**2 - o + 1\/10*o**5 + 51. Factor i(b).\nAnswer: 2*(b - 1)*(b + 3)*(9*b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, -0.5, -0.1757, 87, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pwkkwdkkckdow. Give prob of picking 1 p, 1 o, and 1 c.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 119489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 3*d - 11. Let y = d - 9. Factor 2\/3 - 1\/3*h**y - 1\/3*h.\nAnswer: -(h - 1)*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*c + 873 = -120*c + 41 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y - 6. Let b be v(8). Suppose 0 = 5*m - 5 - b. What is the first derivative of -4*g**4 + g**4 - 10*g + 10*g - m wrt g?\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + 4*n**2 + (4*n - 3*n + 0*n)*(2*n - 3*n + 2*n) - 2*n**2 + 7*n**2 - 2*n**2.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -324.\nAnswer: -1\/162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = x - 12. What is the least common multiple of (0 + 1)*(2 + 7 + -6) and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 2\/57 (c) -1.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/54)\/((-2)\/(-21)))\/(-60*5\/(-3150))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 374837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 742 = 102. Suppose 2*z + f = 4*z. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3740)\/(-1190))\/(160\/(-70))?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -456477*g. Let x(m) = 2777*m. Calculate x(h(w)).\nAnswer: -1267636629*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5712 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - g - 1. Let f(c) = -2*c**3 - 2*c**2 - c + 3. What is 2*b(i) + f(i)?\nAnswer: -2*i**3 + 2*i**2 - 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 8. Let b(m) = 9723*m**3 - 6*m**2 + 9*m - 6. Let s be b(z). What is s rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*q + 8, 0 = 3*t - 2 + 8. Suppose -14*z + 17*z + 7744572 = q. Let a = -17618476 + z. Round a to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzff. What is prob of sequence zff?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**7\/168 + n**6\/120 + 5*n**3\/3 + 5. Let d(v) be the third derivative of x(v). What is the third derivative of d(h) wrt h?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63447172?\nAnswer: 2, 41, 263, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b. Suppose b = 3*w - 2 + 5. Calculate the common denominator of w + ((-196)\/6)\/2 and -9\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -8, -15, -34, -59, -84, -103, -110?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1963032?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 1 (b) -1\/9 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence br when two letters picked without replacement from {r: 4, b: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22*j**3 - 7*j**3 - 35*j**3 - 261 + 320 wrt j?\nAnswer: -192*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 308, 1877, 3446?\n\"Answer: 1569*o - 1261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 - 48. Calculate the lowest common multiple of a and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 24965.409\nAnswer: -49930.818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 9*p**2 - 4411*p + 44001. Calculate z(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1173\/10 + -761\/30. Suppose -h - 5*r = -0*r - 154, -h = -5*r - 134. Let t = h + c. Which is smaller: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u**2 + 3*u. Let s(c) = -16*c + 78. Let w be s(4). Suppose w*f - 38 = -5*f. Let h(m) = -2*m**2 - m. Determine f*q(k) + 7*h(k).\nAnswer: -4*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 3*w + 3*w**3)*(2 - 4 + 3)*(0 + 1 + 1).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -22*h - 1\/4*h**4 - 117\/2*h**2 - 3*h**3 + 0. What is the first derivative of q(x) wrt x?\nAnswer: -6*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3\/8 + 4679*b**2 - 45959359*b\/8 - 5749599 = 0. What is b?\nAnswer: -1, 1272, 36161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 27*q - 265. Suppose c = -3*c + 2*y + 54, c + 9 = -4*y. Let g be t(c). What is the highest common divisor of 224 and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/sqrt(6))\/sqrt(7) - (-4 + (sqrt(3)*-2)**2)) + (-2*sqrt(108) - sqrt(108))\/sqrt(4).\nAnswer: -8*sqrt(3) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-12))\/((-126)\/(-672)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/(n*n**(-2\/41)\/n)))\/(n\/(n*(n\/(n\/(n**7\/n))*n)\/n*n))*(n\/n**(-6\/7))\/n**0 assuming n is positive.\nAnswer: n**(2815\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5091350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 411 times -6331?\nAnswer: -2602041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -20, -2.\nAnswer: -36, -20, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 595095 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-28)\/(-16))\/(3\/12). Suppose 2*h + 2*b - 814 = 0, -a*b = -4*h - 2*b + 1655. Round h to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (-3)\/(-1)) + 39. What is the units digit of (-3)\/(-2)*1128\/u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 71, 100, 129, 158?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99 + 45 - 23 - 3*s.\nAnswer: -3*s - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 6:53 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5317*b + 10591*b - 5209*b - 5.\nAnswer: 65*b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(15 - 4*a - 2*a + 8*a)*(4*a - 4*a - 3*a**2).\nAnswer: 12*a**3 + 90*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174867 and 777?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(30)\/sqrt(10)) + -4 + (sqrt(300)\/sqrt(10))\/sqrt(10).\nAnswer: -4 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*32\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.674587 to 2 decimal places.\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -9*k**3 - 57*k**2 - 63*k + 5. Let s(z) = -11*z**3 - 55*z**2 - 62*z + 6. Let b(o) = -6*j(o) + 5*s(o). Solve b(y) = 0.\nAnswer: -1, 0, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(15)\/(sqrt(5) + sqrt(5)*2 - sqrt(5))).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 0 - j + 0*j + (0*j - j + 0*j)*(4 - 2 - 4) + 0 + 0 + 2*j + 137*j - 21*j + 22*j.\nAnswer: 141*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + 2)*1 - sqrt(55)\/(sqrt(605)*-4).\nAnswer: 2 + 353*sqrt(11)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -32. Let p(q) be the third derivative of q**4\/24 - 3*q**3\/2 + 3*q**2. Let c be p(x). Solve -13 + c = -4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4817297360 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 + 43. Let h = b - 76. Factor 6*o**2 + 63\/2*o**4 - h*o**3 + 147\/2*o**5 + 0*o + 0.\nAnswer: 3*o**2*(o + 1)*(7*o - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*n - 41*n + 302 = -508 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 24 + 2)*(5*b**4 - 2*b**4 - 5*b**4) + 20*b**4 - 71*b**4 - 40*b**4 + (2*b**2 - 2 + 2)*(-2*b + 2*b - 2*b**2).\nAnswer: -127*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 5. Let j be r(5). Let q(i) = -i + 2. Let x be q(3). Let n be ((-6)\/15)\/(x\/30). Calculate the highest common factor of j and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 57*x - 76. Calculate r(47).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 127*m - 888. Let u be p(7). Solve 0 = -28*j + 29*j + u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -396 (base 10) to base 15\nAnswer: -1b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 24*f**2. Suppose 0 = -5*y - 15*y - 120. Let h(n) = -16*n**2 - 7. Let x(g) = -14*g**2 - 6. Let t(d) = y*h(d) + 7*x(d). What is t(p(v))?\nAnswer: -1152*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.72 + 12. Let z = 19.28 - t. Let a = z - 19.3. Sort a, 2\/9, -1.\nAnswer: -1, a, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 + -92. Let m(j) = 12*j**2 - 37*j - 139. Let q(f) = 5*f**2 - 19*f - 69. Let a(s) = v*m(s) - 7*q(s). Find the first derivative of a(h) wrt h.\nAnswer: 2*h + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - 2 + 2)*(-16 + 31 + 132).\nAnswer: 294*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10777 + -10597. Solve 23*u + h = -37*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-390)\/(-208)*(-114)\/285 + (-373)\/(-508)?\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*t - 142*t + 208 = -243*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 10*i**2 + 2*i + 15. Calculate j(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*j = 7*l - 1712, 1284 = 3*l + 5*j. Suppose 10 = 5*w, -2*w - 2*w = 5*x - l. What is the greatest common factor of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 2. Let k(s) = -1. Let d(v) = -4*k(v) + r(v). Let y = -1 + 2. Let b be y\/8 + 4\/(-32). Give d(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 3*t + 1. Let p be j(3). Suppose 3*q - 4*u + 7 = 0, -2*u + 6 - 52 = 4*q. Let a be (-1)\/(q\/6)*6. Solve p = -i - a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = k + 2*k. Let i = k + 12. Calculate the smallest common multiple of 10 and 103\/5 - (-3)\/i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1681, -400, 1.\nAnswer: -1681, -400, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1560.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004133799 rounded to six decimal places?\nAnswer: -0.000413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/7 + (-7)\/(-49). Suppose -17 = -g*t - c + 22, t - 3 = 3*c. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**4\/2 - 2*u**3\/3 + u**2\/2 + 10. Let z(q) = -8*q**3 - 9*q**2 + 4*q. What is 9*i(d) - 2*z(d)?\nAnswer: -2*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/13*f**2 + 0 + 4\/13*f**3 + 0*f + 2\/13*f**4 = 0. What is f?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 + 2*t - 10. Let o be d(2). Solve 2*n + o*y - 2*y + 16 = 0, -5*n + 3*y = 14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a centimeter in micrometers?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 415710000 to the nearest one million.\nAnswer: 416000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*g - 0*c + 52, g = -c + 26. What is the remainder when 44 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from mmmgmghmgmmgcgmg.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 2*o. Suppose 0 = 3*r + 2*r - 25, 2*m = -4*r + 44. Suppose 3*s = 4*u + 17, 3*u + 11 + 4 = 0. Let b be 5*s*m\/30. Calculate v(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75\/4 - 19. Let l be 3 + (1 - 3\/(-3)). What is the nearest to 0.1 in -5\/6, l, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6917328 to 3 dps.\nAnswer: 2.692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8766.859 micrometers?\nAnswer: 8.766859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -1 + 3*g + 7*g**2 - 2*g + 2 - g**3 - 4. What is n(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2090*c - 714799. Give f(-342).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 32. Let r be 2\/(-3) - w\/(-12). What is the biggest value in -3, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112916.514 rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 7*r**2 + r + 9. Let q be h(-7). Let k = -4694 - -46997\/10. Let u = k + -191\/30. Which is the nearest to q? (a) 0.2 (b) u (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 233 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 - 21*w + 13. Let l be q(10). Suppose 2*f - l = 13. What is the smallest common multiple of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = -24*i + 279. Suppose -4882 - 9874 = -i*m. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3238?\nAnswer: 2, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113912518.\nAnswer: 2, 3931, 14489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/2)\/(3\/(-8)) - 1. Let v(u) = u**3 + 4*u**2 - 7*u - 3. Let r be v(-5). Solve r = -5*z - d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(1 + 2 + 32\/(-10)). Suppose -2*f + 6*f = 12. Suppose -o*w + f = -7. Solve -2 = 3*k - 5*q, 5*k + 3*q + 30 = -w*q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = v - 3*z + 9, -3*v + 11 = -z. Let r = v + 0. What are the prime factors of (-75)\/(9\/r)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60.98 - -62. Let d = 0.62 - f. What is the nearest to -4 in -0.1, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16\/3 + 2*g**3 + 4\/3*g + 26\/3*g**2 = 0 for g.\nAnswer: -4, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 16 + 12 = 2*n, -5*b = 2*n - 12. Suppose -2*y - 24 = -n, -4*i = 2*y - 12. Let i*d**2 - 15\/2*d + 5\/2*d**3 + 0 = 0. What is d?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (809*n - 620*n**3 - 809*n)*(-1 + 0 + 2) + (-n - 4*n + 3*n + (-3 + 0 + 4)*(-3*n + 0*n + 2*n) - 2*n - 4*n + 7*n)*(-2*n - 2*n**2 + 2*n).\nAnswer: -616*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2500457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1603 + 3196. Suppose 4*b = 5*g + l, 4*b - 5*g - 799 = 2*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -903 + 2194. List the prime factors of f.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 3*p - 3*y + 99, -2*p + 3*y = 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -9*n + 4. Suppose -v + 3897 = -3*x, n*x - 6509 = 7*x + 3*v. Round x to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2138490 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 233?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**2 - 9*h. Let n(c) = c**2 + 2*c. Let w(u) = -2*f(u) - 9*n(u). Let b(p) = -p + 18. Let s be b(17). Let q(d) = s - 1 + 8*d - 7*d. Give w(q(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 0.5, 1 in increasing order.\nAnswer: 0.5, 4\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1 + sqrt(3) + sqrt(3) + -5 - (0 + sqrt(3) + 4))**2 + 2)*-2.\nAnswer: -80*sqrt(3) + 420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*p - 4 = 0, -6*p + p - 5 = 0. Suppose q*s + 5*s = 0. Let f = 1.4 - 1. Which is the closest to s? (a) 1\/6 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -5, 146.\nAnswer: -5, 14, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -5*l - 1, -6*c + 2*c = 4*l + 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3878 by 1939.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -934 and -49.\nAnswer: 45766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2442\/1485 - (-12)\/(-10).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -11 + 3. Suppose -u + 2*k = 7*k - 25, -2*u - 2*k = -10. Solve t + u = h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**3 - 1390*t**2 - 7309*t + 8704. What is h(-458)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67684 by -4.\nAnswer: -16921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*o + 128*o - 106811 = -1421*o for o.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3087)\/7)\/(-21)*2332\/924\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 11, 785.3, -2\/7, -1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u - 42. Let p be (-2 + 4 - 72\/30)*-7*5. What is z(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 2*j - 12, -2*j = -2*t + 2*j - 20. Calculate the common denominator of -29\/2 and ((435\/t)\/(-5))\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.6, -208\/15, -2\/5, 0.12, 0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**10)\/(m\/((m**(-7\/6)*m)\/m))*m**(-2\/17)\/((m*m\/((m\/(m*m\/m**(-18)))\/m*m)*m*m)\/m) assuming m is positive.\nAnswer: m**(-3395\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.39 + -0.01. Suppose 0 = 2*n + 2*n - 4. Let u = 7533 - 7533. What is the nearest to n in u, -2\/3, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -156*p**4*y**3 - 29*p**2 - 2*p*y**3 wrt p.\nAnswer: -3744*p*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93847855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4.4 (b) 6 (c) -672\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 1 - 1)*(-60*a - 51*a + 3*a) in the form o*a + y and give o.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -107598.\nAnswer: -5\/107598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2*-14 + -1. Let z(o) = o**2 + 2*o - 1. Let f(i) = -5*i**2 - 11*i + 5. Let m(d) = h*z(d) - 4*f(d). Suppose m(v) = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -23. Let w(x) = -111 - 115 + 336 - 111. Let z(b) = 2*b - 8. What is g*z(t) + 6*w(t)?\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b - 5*b**2 + 4*b**3 - 27*b**4 + 8*b**4 + 10*b**4 + 8*b**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -198274 != -198274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 91? (a) 1\/6 (b) -81.504 (c) 1\/7 (d) 1 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n - 20*n - 8*n)*(-2*n + n - 3*n)*(2*n + 0 + 0).\nAnswer: 288*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 50644985173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**2 - 5. Let f(w) = -4*w**2 - 8. Let m(v) = -5*f(v) + 8*h(v). Let p(d) = -2313*d + 13*d**2 + 2313*d. Calculate m(p(t)).\nAnswer: -676*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 107437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 445 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*n + n. Is (-2 - n)\/((-1)\/37) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 76, 12, -0.2168, -4?\nAnswer: -0.2168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 745892561*x**5 + 28403*x**2 - 730.\nAnswer: 44753553660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5 - 2*h**4 - 6*h**3 + 10*h**2 - 4*h.\nAnswer: 2*h*(h - 1)**3*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q**2 + 80*q - 80*q + 12*q**2 + 14*q**4 wrt q.\nAnswer: 336*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-108))\/((-54)\/(-9234)*-38)\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004375 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gilai. What is prob of picking 1 l and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4052701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 356\/1197 + -2\/171. What is the nearest to 1 in 144, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*y - 41*y - 185869 - 88871 = 0. What are the prime factors of y?\nAnswer: 3, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -893 - -2?\nAnswer: -891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20044098*z**2 + 10610565*z?\nAnswer: 40088196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 28*k - 327. Determine y(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 i, and 1 x when three letters picked without replacement from hihhxhimmihifqh.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29424 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1*(80\/10 + -5))\/(5 + -4). Which is the closest to -20? (a) -8 (b) k (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.06 + 0.06. Is -1\/2 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 8) + (-1 - -6). Suppose 4*f = 4*g - 28, 2*g - 7*g - 2*f + 28 = 0. Factor 2*n + 6 - g - m*n**2.\nAnswer: -2*n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -380.268758 to two dps.\nAnswer: -380.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000139414 rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*o + 47 = 20 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -3\/2*h**3 - 3*h + 1\/2*h**2 + 0. What are the prime factors of m(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530 - 2*u**3 - 9*u**3 - 8*u**3 + 23*u**3.\nAnswer: 4*u**3 - 530","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5780862077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - t = 4*t + 42, -5*t - 20 = 0. Let s = d + 19. Solve 3*m = s*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 7*n**2 - 5*n + 6. Let f be (-6)\/(-8)*(1 + -9). Let k be t(f). Let q = -61\/3 + 21. Sort k, 0.5, q in descending order.\nAnswer: q, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-22) - (-984)\/88. Let f(h) = h - 16. Calculate f(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -686 divided by -4\nAnswer: 343\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-24))\/((1460\/200)\/73).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 6280?\nAnswer: 18840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39639 and 568159?\nAnswer: 1704477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 151*3104\nAnswer: 468704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 8*s**2 + 3*s + 4. Let g be (-210)\/60*2\/1. What are the prime factors of l(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -752*j + 766*j + 18 = -o, -o = -5*j + 39 - 40 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (3 - -3) - 1) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40297000?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55*b*o**4*v**2 + 2*b*o**2*v**2 + 2*b*v**2 + 243*b wrt o?\nAnswer: 220*b*o**3*v**2 + 4*b*o*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297559 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from {h: 2, i: 7}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/7)*w)**(5\/2)\/(w*(w**(-3)*w)\/w)**(-35) assuming w is positive.\nAnswer: w**(-450\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -1421*h**2. Let r(l) = -3*l + 24. Let t(w) = -w + 4. Let x(v) = -r(v) + 6*t(v). Give k(x(o)).\nAnswer: -12789*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 9 (c) 2\/3 (d) -10\/33 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/12064 and -9\/2723360.\nAnswer: 1026706720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5384 + -17584. What is f rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 - 115*d - 1084. Let p(o) = 3*o**2 - 116*o - 1085. Let a(k) = -4*p(k) + 5*x(k). Differentiate a(u) with respect to u.\nAnswer: -4*u - 111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 3:08 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -224 or 2\/105?\nAnswer: -224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/28*152\/57. Let m = -19\/4 - -4. What is the closest to r in 5, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5442888 times 0.2\nAnswer: -1088577.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82411*z - 48449 + 48449.\nAnswer: -82411*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 344002860 to the power of 1\/4, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**2 + 27756*f + 3260064 = 0 for f.\nAnswer: -116, 9368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 9:50 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -461086*d*p**2 + 408861047*d + 2*p**2 - 16*p wrt p.\nAnswer: -922172*d*p + 4*p - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 8 - ((-11 - 2 - -126) + -26)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 44*w**2 - 2*w - 109. What is the hundreds digit of u(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173 - 67 - 51 - 54 - 1823*v**2.\nAnswer: -1823*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3578*h*s**3*w + 51*h*w**2 - 647190*s**3*w**2 + 72*s**3*w + s**2*w wrt w?\nAnswer: 102*h - 1294380*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6397.55 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 799 and 470.\nAnswer: 7990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*i = 25 - 41, -36 = -4*h - 2*i. Solve f = 4*n - 15, 4*n = -2*f + 8 + h for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9}. What is prob of picking 2 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p + 28 = -4*d, 5*d = p - 5. Let r(c) = 2 + 10*c**2 + 0*c**3 + 2*c - 10*c**2 - c**3. Calculate r(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3. Let q(n) = -28675*n - 192. Let u be q(-1). Suppose -2*p = g, u + 17 = 3*y - 2*p. Round y to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207534091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -948 or 24?\nAnswer: -948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**4 + 14928*b**2 - 17781.\nAnswer: -8*b**3 + 29856*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 3, 2, 1730 in decreasing order.\nAnswer: 1730, 3, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + sqrt(1008)) + 6*sqrt(1008)*1 + -5)**2*6.\nAnswer: -1440*sqrt(7) + 151224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -3214514457.71.\nAnswer: -3214514455.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3810*w - 68600. Determine v(-18).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 17 - (7 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 16. Suppose 0 = -u*z + z + 4. What is the units digit of 3\/3 - z - -30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -32, -57, -100, -167, -264?\nAnswer: -397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 2944343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6)*(-3)\/(-4))\/(-1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0461187434 rounded to 6 dps?\nAnswer: -0.046119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*f - 80608 + 77968 = 0 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve o**3\/2 - 2829*o**2\/2 - 24233*o + 119532 = 0.\nAnswer: -21, 4, 2846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 509049253 to the power of 1\/3, to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 532?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*m + m, 5*u + 62 = 4*m. What is the tens digit of -4 - 7*u - 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2675 + -1908. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 60*a**2 + 371*a. Let i(q) = -q**2. What is h(i(v))?\nAnswer: 60*v**4 - 371*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 2 = -2*h - 0, h - 17 = -3*b. Find the third derivative of b*c**2 + 5*c**5 + 6*c**2 - 23*c**2 wrt c.\nAnswer: 300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, i: 1, g: 1, z: 2}. Give prob of picking 1 e and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -254 + 370. Suppose 0 = -n - 3, -5*f + n - 4*n = -v. Put f, -1, -2 in descending order.\nAnswer: f, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyywywywyyyyy. What is prob of picking 1 y and 2 w?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1373641 divided by 6.\nAnswer: 1373641\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4\/3 + 25*w**3\/3 - 28*w**2\/3 - 52*w\/3 = 0. What is w?\nAnswer: -26, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27)\/2*(-2 - (-12)\/9). Suppose -d*b = -0*b - 1962. Suppose -2*s + s = -h + 109, 2*h = -s + b. List the prime factors of h.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 86, 151, 268, 443, 682, 991?\n\"Answer: v**3 + 20*v**2 - 2*v + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 257*i**3*j + 3960*i**3 + 8008*i*j + 9*i - 4*j wrt i.\nAnswer: 1542*i*j + 23760*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3100213120 + -31?\nAnswer: -3100213211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 3. Let h be w(-3). Suppose 0 = 4*s - h*s - 68. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from {v: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10925750 divided by -3973.\nAnswer: -2750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 2:22 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-5) + 380\/100. Let u be (-6)\/a - 24\/16. Let k(b) be the second derivative of -b**5\/20 - b**4\/4 - b**3\/2 - 2*b**2 + b. Give k(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**7\/420 - n**6\/80 + n**5\/40 - n**4\/48 + 3*n**2. Factor d(s).\nAnswer: s*(s - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 3820 + 3630 = 0. Solve -t*s = -24 + 84 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29.3 * -2.\nAnswer: 58.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 - (96 + (21 - 79))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -112*h*i + 29*h*v - 19*h + i*v + 49*i + 159*v wrt h.\nAnswer: -112*i + 29*v - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1200122200222 (base 3) to base 6.\nAnswer: 31132212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.39 and -10449.\nAnswer: -4075.11","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*w**2*z**3 - 2*w**2*z - 167*w**2 + 13127*w*z + z**3 wrt w?\nAnswer: 14*z**3 - 4*z - 334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + s + 1. Let x be (6\/12)\/(-1)*(-4)\/1. Let v(w) = -2*w. Determine x*u(h) + 2*v(h).\nAnswer: 2*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1792997052?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 6*q**5 + 33*q**3 - 13*q**5 + 14*q**2 + 21*q**3 + 48*q**4 - q**5 = 0.\nAnswer: -1\/2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6856365.\nAnswer: 3, 5, 457091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -w + 4. Suppose 3*k + 2*b + 7 = 0, 34*k + 3*b + 36 = 38*k. What is the closest to w in -1\/9, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 21 (b) 0.07 (c) -1\/2 (d) 10 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 5*p**2 + 7*p. Let a be b(4). What is the hundreds digit of 2446\/a - 8\/(16*-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4. Let g(r) = r + 20. Let q(c) = 2*c + 20. Let p(o) = 3*g(o) - 2*q(o). Give -20*h(b) + 4*p(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 434.4146 millilitres in litres?\nAnswer: 0.4344146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/108*9)\/(21\/(-18)). Put z, -19, 1\/6, 0.2 in descending order.\nAnswer: 0.2, 1\/6, z, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h + 19*h - 32*h - 5 = 3*j - 53, -295*h + 5*j + 795 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1713\/7 or -244?\nAnswer: -1713\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(3\/13))\/(k*k*k*((k\/k**(-4))\/k)\/k))\/(k\/(k*k*k**(-1\/7)))**(-2) assuming k is positive.\nAnswer: k**(-632\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11502330 (base 6) in base 12?\nAnswer: 1579a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48014 divided by 47.\nAnswer: 48014\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - g - 6 = 0, -6*b - 5*g = -2*b - 40 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 19 = -2*n, -22093*n + 22087*n = 19*f + 61 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 66*x**2 + 1076*x - 121. Calculate z(-32).\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 0.28?\nAnswer: -1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23496 - -70486\/3. Which is the nearest to n? (a) -98 (b) -2 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -64, -29, 6, 41?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -891*g + 5308. Give n(6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1393138146*x + 696569121*x + 696569022*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - 123. Let i = -79.44 - x. Let o = i + -0.56. Which is the nearest to 0? (a) o (b) 8 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h = -11*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 + 160\/3. Let f = -29842 + 29846. Factor 4\/3*b**2 + 4*b**3 + y*b**f - 8\/3 - 4*b.\nAnswer: 4*(b - 1)*(b + 1)**2*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47800 and 1000.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - g + 33 = 0, 0 = -49*x + 50*x + 4*g - 34. Solve 0*j + x*j = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h - 25. Let i be l(15). Let t(y) = y + 10. Let c be t(-8). What is the second derivative of -i*o - 2*o**4 - o**4 + o**2 - o**c wrt o?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 * -0.02408\nAnswer: -0.8428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11516 = -3*o - o + 5*v, -3*o + 2*v + 8637 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 38261369 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 435632?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -196 + 169. Is 11 a factor of (-22624)\/(-21) - 18\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/8 (b) -0.5 (c) 256075\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-2))\/((-4)\/(-8)). Let j be w*56\/108 + 2. Find q such that 0 + 2*q**2 + j*q + 14\/9*q**3 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*u = 30, 2*u + 4 = -2*p - 0*p. Let j(i) = 0*i - 2*i**p + 0*i. Let t(k) = -2*k**2. Give j(t(m)).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-12))\/(2\/6). Let b be (p\/6)\/(7\/231). Suppose b*u = 7*u + 24. Solve 3*q - 4 = 4*d + 16, 0 = q + 5*d + u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200201011112 (base 3) to base 2\nAnswer: -1011001111010001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 12:51 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162773 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 318\/2237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/6 - (-2)\/(-3). Find s, given that -2*s**4 - 5*s**4 + 7*s**2 - 2*s + 0*s - l*s**3 + 5*s**5 = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 584 - 578. Let k(j) = 5*j - 14. Let a(z) = 4*z - 14. Let t(y) = -4*a(y) + 3*k(y). Determine t(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16053.7052 less than 0.591?\nAnswer: -16053.1142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y - 2*y + 7*y + (-5*y + 4*y + 3*y)*(-1 + 3 + 3)*(-5 + 1 + 0)*(0 + 3 - 4).\nAnswer: 45*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138229501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*u**2 + 592712*u - 592692.\nAnswer: -4*(u - 1)*(5*u - 148173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6473681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1060930962 and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 57 + 4182?\nAnswer: 4239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 16 = -4*z. Differentiate 1 + 7*f**3 + 1 - z*f**3 with respect to f.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210 + 2110212122?\nAnswer: 2110210212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -17. Suppose -j*o = 2*o. Suppose o = 2*m - 70 - 20. Calculate the greatest common divisor of m and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -10. Find the common denominator of -59\/16 and 219\/(-18)*l\/20.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 divided by 2?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 6*m - 11. Let r be (54\/30)\/(2\/10). Determine v(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1742 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 7 and 2554657 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of 0*y**5 + 1\/24*y**4 - 1\/120*y**6 - 1\/3*y**3 + 0*y + 8*y**2 + 0. Give u(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2762*a*t**5 + 7*a*t**2 - 10*a*t - 7*a - 3*t**2 wrt t?\nAnswer: 165720*a*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**3 + 942447*y**2 - 5654601*y + 8481861 = 0 for y.\nAnswer: 3, 314143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/3465 and 128\/8 - 10764\/540.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 816 - 1381. Let r = 580 + b. Calculate the highest common factor of r and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14745569357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.0263 or 203?\nAnswer: 1.0263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -622967529*g*u**5 + g*u**3 - 176494372*g*u**2 wrt u.\nAnswer: -37378051740*g*u**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*f + 20 = n + 249*f, -3*n - 15 = -3*f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8373140 is divided by 523321?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, c: 7}. What is prob of picking 1 v and 1 c?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81323.16*3.\nAnswer: 243969.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i - 9. Let o be l(-2). Put -4, -1, o, 4 in increasing order.\nAnswer: o, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*p + 10*p + 9*p - 1723 + 2*p + 1723.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5 = -5*r. Let t = -10 + 13. Sort t, r, 1.\nAnswer: r, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from {x: 13, f: 2, w: 5}.\nAnswer: 13\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + n - 4*h - 16, 0 = n + 4*h. Let v be (-2)\/4 + (-72)\/n. Solve 4*q - 7 = -f - 2*f, -q = v*f - 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10144839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, g: 2, u: 7}. Give prob of picking 2 g, 1 u, and 1 v.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1816.0287371 - -0.026\nAnswer: -1816.0027371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 684 by 76.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -9 - (-46 + 33).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**3*t**4 + 210*k**3*t**2 - 71*k*t**3 wrt t?\nAnswer: -24*k**3*t - 426*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 333245?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - (-66)\/(-5)*(-2630)\/1578?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.17398 kilometers in millimeters?\nAnswer: 55173980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*n - 4 = -276*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -223*l**2 + 6. Let p be z(-6). Let b = 20153 + p. Suppose -5*v = b + 12869. What is v rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 10322\/2233?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + 0 + (-5*(0 + sqrt(3) + sqrt(3) + sqrt(6)\/sqrt(2))*-1*2)**2.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1, 50, -6\/5, -2 in descending order.\nAnswer: 50, 1, -0.5, -6\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15634.\nAnswer: 2, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - u - 167, 3*p - 2*p + 3*u - 87 = 0. Let c = p - 91. Put 2, -4, c in decreasing order.\nAnswer: 2, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 3*y - 60, 124*x + 4*y = 129*x + 44 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5381718 to the power of 1\/2, to the nearest integer?\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 430115 (base 8) to base 12\nAnswer: 6b011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2899 divided by 36658.\nAnswer: 2899\/36658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 114981 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: Simplify (h**(-1)\/h)**(-2)\/(h**(-6\/11)\/h*h**(1\/7))*(h\/(h*h\/(h*(h*h**(2\/9))\/h*h*h))*h**(-1\/4))\/(((h*h**(-2\/3))\/h)\/h)**(2\/11) assuming h is positive.\nAnswer: h**(21283\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/7 + 342\/2. Let n = 414 - x. What are the prime factors of n?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 949940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -218 or -219?\nAnswer: -219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 276923?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by -84807\nAnswer: -70\/84807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33602.\nAnswer: 2, 53, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/18 + (-260)\/(-45). What is the least common multiple of 12*(-2)\/(-3) + 0 and ((-33)\/(-6))\/(a\/12)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 67928 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*d + 174*d - 104*d.\nAnswer: 232*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 99 + 5?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1913188481684 - -4.\nAnswer: -1913188481680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59.65*1.\nAnswer: -59.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {n: 4, f: 2, y: 8, w: 2}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (3 + -2 - (-10 - (-11 - 2))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 540*a - 31042.\nAnswer: -2*(a - 187)*(a - 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y**2 - 13*y + 71. Let a be z(9). Suppose -7*s + 10*s = 2*x - 342, 0 = x + 5*s - a. Calculate the remainder when x is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 0 + -3 + 108\/6 and 7?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 5*h**7\/42 - 5*h**4\/12 + h - 2. Let r(k) be the first derivative of n(k). Find the third derivative of r(w) wrt w.\nAnswer: 300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2759?\nAnswer: 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80 - -72 - (-2 + 6 + 0)) + -14?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14141304 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.53 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -6. Let x = i - -4. Suppose -3*o + x = -2*t, 2*o = 5*t + 1 - 2. Calculate the greatest common factor of 18 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from {e: 7, b: 5}.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j**2\/2 + 20474*j + 209592338 = 0. Calculate j.\nAnswer: -20474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/584042 and -111\/40.\nAnswer: 11680840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -197\/68 - -28\/17. Which is the nearest to 0.1? (a) 2 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 25*u**2 - 6. Let z = -2 + -11. Let g(c) = -12*c**2 + 3. Let h(x) = z*g(x) - 6*b(x). Find the first derivative of h(l) wrt l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-20))\/1*2\/4\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -134325 - -203761. Let s = 46714 - h. Let o = s + 749764\/33. Calculate the common denominator of o and 133\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40780057332576 + -0.4\nAnswer: -40780057332576.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -5996\nAnswer: 23984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + d + 205 - 189, -z + d - 8 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94368122 is divided by 1342?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45.36 - 47.36. Let p = 0 + -3. Let u = 12 + -7. Sort u, t, p.\nAnswer: p, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2517231 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*k*l**3 + 2*k*l**2*y**2 + k*l**2*y - l**5*m*y + 5*l**3*y**2 + 317*m wrt l?\nAnswer: -48*k - 60*l**2*m*y + 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-396)\/440)\/(-9)*60.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -75, -307, -685, -1203, -1855, -2635, -3537, -4555?\n\"Answer: u**3 - 79*u**2 - 2*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 134 and -123 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119270281 + -182864.\nAnswer: 119087417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12682821 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 2*o**2 + 12*o - 13. Let c be r(4). Suppose c*m = 4*d - 606133 - 205858, -202997 = -d + m. Round d to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 l, and 1 h when three letters picked without replacement from {e: 4, o: 1, h: 7, l: 2}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*((-276)\/7)\/23?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 323 + -322.83. Sort 0.3, 3, 0, 0.2, l in increasing order.\nAnswer: 0, l, 0.2, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-7\/4)*q)\/(q*q**11*q))**44)**0 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**22*t**(1\/4)\/t)\/(t**(-2)\/t**(2\/19)) assuming t is positive.\nAnswer: t**(1775\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 354\/9 - (-4)\/6 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**3 - 469686*d**2 + 63905040*d - 2173085792 = 0.\nAnswer: -234979, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 162, 517, 1212, 2361, 4078?\nAnswer: 6477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**2 - 3*f**2 + f**2 + (-3*f + 4*f - 3*f)*(-f - 2*f + 0*f) - 3*f**2 + 3*f**2 + f**2.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35562 + 27*f**2 + 7*f**2 - 35562 - 8*f**2.\nAnswer: 26*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/785 - -313\/785. Which is the closest to u? (a) -2\/3 (b) 6\/13 (c) -4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**3\/5 - 157*z**2\/5 + 4183*z\/5 + 166341\/5 = 0.\nAnswer: -21, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, n: 3, d: 3, v: 4}. Give prob of picking 1 j, 1 v, and 1 n.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (2 + (-105)\/15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230012002 - -10?\nAnswer: 230012012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 609?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k**2 + 2*k - 1. Let a be x(1). Suppose 2*f + 3 = a. Suppose f*d + 3*o = d + 11, -d = 4*o - 7. What is the remainder when 90 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/74 and -45\/1147973.\nAnswer: 84950002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113683, 907584, 3061915, 7256890, 14172723, 24489628?\nAnswer: 38887819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 + g**3 - g**3)*(6 - 4 - 3)*(3 - 9 + 26).\nAnswer: 80*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 + 10*t - 3. Suppose r - 14 = 3*r. Suppose -480 = -16*x + 6*x. What is the remainder when x is divided by l(r)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62614611?\nAnswer: 3, 6957179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*2 + 322\/276*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -8. Suppose 0 = -3*j + 2*z + 507, f*j + 287 = 4*z + 1132. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(117) + sqrt(117) + -1 - sqrt(117))**2 + 4 + 0 + (-3*2*sqrt(117) - sqrt(117))**2.\nAnswer: -6*sqrt(13) + 5853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 436542094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0516976307 to 3 decimal places.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**2\/9 - 279145340*r\/9 + 9740265105464450\/9 = 0.\nAnswer: 69786335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/21798126 and 187\/1730010.\nAnswer: 108990630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 8*a**2 - 3*a + 45. What is the remainder when 176 is divided by q(-8)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 225 and 125?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 23. Suppose 4*b + c = 8*b. Let l be (b\/(-54))\/(2\/(-6)). Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**3 + 8*a**2 + 20*a. Suppose -217 = -5*v - 177. Let n(i) = 2*i**3 - 5*i**2 - 13*i. Calculate v*n(q) + 5*l(q).\nAnswer: q**3 - 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19817, -19803, -19781, -19751, -19713?\n\"Answer: 4*l**2 + 2*l - 19823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/13)\/(h*h**(2\/5))*(h**(-1))**(-1\/72) assuming h is positive.\nAnswer: h**(-7207\/4680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -582, -3, 5, -4, -6843 in ascending order.\nAnswer: -6843, -582, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 3*n + 6 - 8*n - 1 + 16*n.\nAnswer: 11*n + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 less than 230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 7\/2*b**2 - 2\/5*b**5 + 0*b**3 + 5 + 0*b + 0*b**4. What is the second derivative of a(r) wrt r?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from wwrwwwwwdwrdwppfpr.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.5, 7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1971, 1948, 1925, 1902?\n\"Answer: -23*b + 1994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 7:08 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 281172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -l - 6. Let b = 7 - 10. Sort b, -4, l in descending order.\nAnswer: l, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 4. Suppose 2*q - 4*p = 4, 22 = 3*q + 3*p + 7. Suppose q = -50*v + 51*v. Solve v*d - 2*d + 6 = 5*r, d + 3 = u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -12. What is the third derivative of -2*a**5 + 2*a**5 + 3*a**5 + k*a**2 wrt a?\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5115\/1395*((-3672)\/165)\/(-8)?\nAnswer: 51\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-18) - (-96)\/54 - -19. Suppose 59 = 10*t - k. Sort t, -2, -3, -5 in increasing order.\nAnswer: -5, -3, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 111274 = 2*r - 52*r. Calculate the highest common factor of r and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -15, 24.71, -1\/3, 4?\nAnswer: 24.71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/5 - (-14 - 3). Suppose z - s = 4*b + 123, -3*z = -2*b - 407. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 12. Let j = d + -5. Sort j, 0.5, 5 in decreasing order.\nAnswer: 5, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(2\/(-2) + 2). Suppose 2*h + 5*g - 51 = -0*h, 0 = 5*g - 25. Let x be -2 + 4 - h\/6. Which is greater: x or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*j + 32*j = 0. Suppose 0 = -j*m + 6*m - 6. Find the common denominator of 71\/2 and 91*m*2\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1515220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-43582)\/(-17829))\/(((-10)\/5 + 3)\/36)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1773, -3547, -5321, -7095, -8869?\nAnswer: -10643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/8 of a day?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -7. Let n be (2 - (-27)\/(-12)) + 91\/252. Is n greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*s + 3*h + 2683 = 0, 0 = 4*s + 5*h - 5355. What are the prime factors of s?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*u**3\/13 - 36*u**2\/13 - 16*u\/13 = 0. What is u?\nAnswer: -2, -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**3\/3 - 6*q**2 + 5*q + 12723. Suppose 4*f = 2*f + 24. What is y(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -4*u**3 + 200*u**2 + 4*u - 200 = 0.\nAnswer: -1, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r**3 - 10*r + 10. Let c(h) = -h**2 + 4*h + 6. Let g be c(6). Let i = g - 1. Let s(q) = 2*q**3 - 3*q + 3 - 4*q + 4*q. Determine i*s(p) + 2*o(p).\nAnswer: -2*p**3 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -279*q - 3873. Give i(-14).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 148*k - 620*k - 206 + 206 in the form h + u*k and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/6)\/(92\/1104)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(-2)*l)*l))**(-7))**(-35)\/(((l*l*l**(-1\/5))\/(l*l\/l**(-3\/8)*l))\/(l**(-2))**(-16)) assuming l is positive.\nAnswer: l**(-18257\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-nine fifths of a microgram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*r - 14*r - 45*r - 36*r in the form n + h*r and give h.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.072.\nAnswer: -0.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -cac (base 13) in base 2?\nAnswer: -100001111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 83*s - 27394 = -81*s, 0 = 2*j + 5*s - 27352. What is the remainder when j is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-825 + 1334 - 564 + 1212 + 2908 + 974)*(-4*w + 2*w + 5*w).\nAnswer: 15117*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*((h\/((h**(-2\/109)\/h)\/h))\/h)\/h*h))**(-31)*h\/(((h\/(h\/(h\/(h\/(h*h*h**27*h)))*h))\/h)\/h)*h**(-2\/27) assuming h is positive.\nAnswer: h**(107404\/2943)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 13 = -34. Let g = 35 + c. Suppose 2*b - 25 = -2*t - 3*b, 0 = 4*b - 12. Calculate the remainder when g is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.4 + 0.4.\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 - 12*f - 17. Let b = 45 + -65. Let w be (2\/8)\/((-1)\/b). Let d(u) = 2*u**2 + 8*u + 11. Let i(a) = w*n(a) + 8*d(a). Calculate i(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119569.\nAnswer: 119569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09438738 to 3 decimal places.\nAnswer: 0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/9*-603*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2) - 19174\/92. Let q be (-6)\/(-14) - 8754\/42. Let v = l - q. What is the second smallest value in -3, 1\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - 1)\/(9\/6). Find the first derivative of 6*r + 1 - o*r - 4*r - 3*r**4 wrt r.\nAnswer: -12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/5 (b) 4\/2557 (c) -1001 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 48. Suppose -84*u + 55*u = -290. What is the lowest common multiple of u and (-2)\/(-5) + b\/(-5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1196 + 2*q**2 - 35*q - 1197 - q**2 to l*q**2 + u*q + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/((-4)\/8 + 0). What is the greatest common divisor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**3 - 5*r**3 + r**3)*(4*r + 0*r - 3*r) + 2*r**4 - r**4 + r**4 + 2*r**4 + 8*r**2 - 8*r**2 + (-r + 3*r - 3*r)*(-2*r + 2*r - 2*r**3).\nAnswer: 7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((25\/(-2))\/5*-2*(-553)\/(-4345))?\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*w - 3*i - 7, -15 = -16*w + 5*i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*t - 40 = 0, 0 = 3*i + 4*t - 3 + 70. What is the smallest value in -0.4, i, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75320734 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**5\/60 + l**4\/4 + l**3\/3 + 6*l**2. Let o be y(-6). Solve 4 + 2 = -o*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27)\/(-12) + 8\/(-32). Factor 2*i**l + 5*i**4 + 8*i**3 - 10*i - 5 - 2*i**2 + 2*i**3.\nAnswer: 5*(i - 1)*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-6) + 2\/3. Let c(b) = -b**3 + b**2 - b. Let d be c(2). Let q be 4\/6 + 4\/d. Which is smaller: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23148*a - 1394642 - 1596110 = 597188 for a.\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.2, -163, -3, -1\/5, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-12))\/(6\/120)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 10 + 7 + -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 368*b - 1 = 370*b, -4*v - 5*b + 32 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 177*q + 2829. Calculate o(14).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1876304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 785938 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40962*h**2*u**2 - 44*h**2*u - h**2 - 915*h*u**2 - 39*h - 110*u**2 wrt h.\nAnswer: 81924*u**2 - 88*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 5*m - 35, 2*c + 90*m = 93*m + 27. What is the highest common divisor of 705 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/((-1368)\/15))\/(2\/(-8))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 18533?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09 - -0.153. What is q rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 942324815423 and 47.\nAnswer: 942324815470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 969023280 a multiple of 5055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -1613*z - 1054. Give h(-1).\nAnswer: 559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34.668123 and 2.\nAnswer: 69.336246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1106 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 3*d - 33 = 0, 5940*y + 5*d - 4 = 5939*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (23 - 58) + 27 - -20?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5101124*o. Let a(f) = -32*f. Give a(q(p)).\nAnswer: -163235968*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -390*v + 2731. Let q be a(7). Is 39\/176 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8385*q**4 + 16288*q**2 - 65122533?\nAnswer: 33540*q**3 + 32576*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -57272259308 from -5190.\nAnswer: 57272254118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**14*k)\/k**(-15) assuming k is positive.\nAnswer: k**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2.5. Let n(b) = b**3 - 2*b**2 - 15*b + 25. Let f be n(4). Let v = -3 + 3. What is the nearest to 1\/3 in v, x, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -265\/6, -21, 2\/9, -5, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7675068?\nAnswer: 2, 3, 639589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 712358979?\nAnswer: 3, 59, 97, 41491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(180) + sqrt(180)*2))\/(sqrt(100)\/sqrt(5)))\/(sqrt(132)\/((sqrt(77)*-2)\/sqrt(7))*-4).\nAnswer: -9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 4*v + v = -1, -5*v = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 267829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -74*d - 418. What is r(-54)?\nAnswer: 3578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**2 + 4*k - 82. Let i(f) = 10*f**2 - 12*f + 227. Let g(z) = -4*i(z) - 11*v(z). Let o(r) = -8*r**2 + 3*r - 5. Determine -5*g(s) + 6*o(s).\nAnswer: -13*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m - 6. Let k(c) = -1. Let w(a) = 2*k(a) + z(a). Let r be 2\/8 + 25\/(-4). What is the units digit of w(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -6*z - 75. What is a(-2)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/24 and 73\/708?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -946 + 1748. Is 28 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 7:44 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -392 + 386 + (13 - (-2 + 1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 1:31 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72537463.\nAnswer: 769, 94327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, t: 1, q: 4}. Give prob of picking 1 t and 2 q.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - m + 3, 3 = 2*p + m - 0. Suppose -5*f = 5*h + 5900, f + 3*f = p. Round h to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 409072 - 409015 = -3*u, 2*k = 2*u + 44 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*g + 24 = 40*g. Which is greater: 38\/13 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 702170979 to the nearest integer?\nAnswer: 26499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 5543 to the nearest 100.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 13 = 43. Suppose -4*s - 66 = -j. What is the common denominator of -101\/16 and (-10)\/(-308) + (-4)\/s?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*p**3 + 27*p**2*z + 307*p*z + 3687290*z wrt p?\nAnswer: -45*p**2 + 54*p*z + 307*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 4 + 3)*(-86 + d - 9*d + 9*d).\nAnswer: -3*d + 258","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.5 (c) 3 (d) -1\/8 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -266166*i*m*n**2 + i*n - n**2 - 351 wrt m?\nAnswer: -266166*i*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 = -3*u, 4 = x + u. Suppose 4*g + 3*s = 3*g + 12, -3*g + 4*s = -75. Suppose x*k = 3*k - g. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20 - 18)\/(-2 + (-1)\/2). Which is the fourth biggest value? (a) 2\/7 (b) l (c) 5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**3 + 3*i**2 - 3*i**2 + (-500*i - i**3 + 20*i**2 + 498*i - 4*i**2)*(2 - 5 + 1).\nAnswer: 5*i**3 - 32*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(7 + 0 - 3)*(-4 + 2 - b + 0).\nAnswer: -8*b - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 5) to base 10\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -12821, 5?\nAnswer: -12821","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 3*a**2. Let z(f) = f**3 + f. Let h(j) = o(j) + 2*z(j). Let r be h(2). Solve r = 4*s + 4 + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*g = 4*g - 64, 4*y = g + 72. Let o(z) = z + 13 - 2*z + 9. Let r be o(y). Solve 2*j - 4*n = -8, -2 = -r*j - n - 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 108 + -62. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/747 and 37\/87.\nAnswer: 21663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -33*x**4\/2 + 17913297*x**3\/2 - 2430930890217*x**2\/2 - 6850957277865*x\/2 + 662994920025 = 0.\nAnswer: -3, 2\/11, 271415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = l + 61 - 334, -4*f - 271 = l. Let g = f + 478\/7. Is g bigger than 28\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(99)\/(sqrt(324) + 2*sqrt(324)).\nAnswer: -5*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 + 102. Solve -n*i = -10*i + 85 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 510512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 131814 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: Is ((-648)\/126)\/(4\/(-546)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 177868 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, -11, 1, 3 in decreasing order.\nAnswer: 5, 3, 1, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71\/((-4686)\/(-36))*-11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of b**5\/140 + 11*b**4\/56 - 30*b**3\/7 - 168*b**2. Factor u(p).\nAnswer: 3*(p - 4)*(p + 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21694661 + -0.05.\nAnswer: 21694660.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 13 = 15. Suppose q - 84 = 5*p, 162 = 2*q + p - 28. Suppose 0*i + h*i - q = 0. What are the prime factors of i?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**5\/30 + 31*y**4\/24 - 37*y**3\/6 - 4*y**2. Let k be u(-17). Solve 2*q + v + k = -3*v, 2*q = -3*v - 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -371 - -1152. Let m = 749.7 - l. Let d = 31 + m. Put 18, -1, d in descending order.\nAnswer: 18, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 4*q, -2*t + 4*t - 3*q = 0. Suppose t*z - 3*z = -d + 8, -5*d + 58 = 3*z. Let l(x) = 5*x + 8. Is l(d) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22872172 is divided by 78062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166623 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 80*w - 21. Let d(a) = -10241*a + 2695. Determine 6*d(x) + 770*h(x).\nAnswer: 154*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 792, 815, 740, 561, 272?\n\"Answer: -x**3 - 43*x**2 + 159*x + 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16315302*b*o**3 + 3010*o**3 - 7*o + 96 wrt b?\nAnswer: -16315302*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24.9 + 3.1. Sort 4, u, -3 in descending order.\nAnswer: u, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*y**2 + 10933*y**3 + 3180*y**3 - 26*y**2.\nAnswer: 14113*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 2*s - 10, 4*s + 2*q = 12 - 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2. Let i = 290 - 291. Let g(f) = -f**2 - 2*f - 11. Calculate i*g(w) - t(w).\nAnswer: 2*w**2 + 2*w + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-187)\/51)\/((-2)\/6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 844136678 is divided by 970.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*z = 85, -5*k + 3*z = -37 - 95. Suppose 6*m = -3*m + k. Differentiate 3*w**4 + 7 + m*w**4 - w**4 wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12285, -12283, -12281?\n\"Answer: 2*p - 12287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((0 - -3)\/15). What is the second derivative of -6*d + 258*d**5 - 252*d**l - 2*d wrt d?\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1100) + 0 - sqrt(1100)) + sqrt(1100) + -1 + 4*(1*(sqrt(1100) - (sqrt(1100) + sqrt(1100) + 1*sqrt(1100))) - sqrt(1100)))**2.\nAnswer: -220*sqrt(11) + 133101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2))\/(36\/(-6)). Let j = 122.88 - 123. Which is the nearest to j? (a) 6\/7 (b) 3\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a minute in seconds?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 - 7)\/((-5)\/40) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3318231 a multiple of 902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.88 - -0.12. Let w = -5.09 + 0.09. Which is the nearest to 1? (a) f (b) -0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2)\/(a*(a\/a**(3\/5)*a)\/a)*((a*(((a\/a**(1\/3))\/a)\/a)\/a)\/a)**24)\/((a*(a\/(a*a*a*a**(2\/7)))\/a)\/a*a\/a**(-3)*a*a*a)**(-10) assuming a is positive.\nAnswer: a**(-1383\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 4*h = -3*n - 2*n + 25, 2*n + h = -10 + 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1353 and 0.5468.\nAnswer: -739.8204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2309388567 to the nearest integer?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -121 - 3*q**2 + 55 - 2*q + 4*q**2 + 64. Let w(u) = -6 + 7 - u**2 + u + 2*u**2. What is t(o) + 2*w(o)?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 4, 16*i + 24*i - 36*i + u + 2 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((6 - 0) + -4) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77040342 by -77040342.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122045 and 118580?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.452 + -0.052. Let i = u + 57.6. Let r = 76.0122 - i. What is r rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k**3 + 0*k**3 - 7*k**3)*(9*k + 3*k + 5*k) to x + g*k + u*k**2 + c*k**4 + p*k**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1895840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09693 to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvx when three letters picked without replacement from vxvxx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -330*w + 32568. Calculate f(95).\nAnswer: 1218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*l + 12*l = 4*x - 2*l - 11*l - 12, -8*x + 32 = -4*l + 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 26.84. Let m = 0.84 + o. Is m < -0.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**4\/24 - 2*m**2 + m. Let n(g) = -43*g. Give n(v(p)).\nAnswer: -43*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 264424 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10, 139, 246, 319, 346?\n\"Answer: -2*t**3 + t**2 + 140*t - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 - 18510*z**2 + 22841340*z - 9395404520.\nAnswer: 5*(z - 1234)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 53*c - 58*c. Calculate the remainder when 638\/10 - ((-20)\/25)\/c is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 3*l**2 - l + 5. Let n be a(3). Factor -8*r + 2*r**2 - 15*r**n + 11*r**3 + r**2 - 15*r**3.\nAnswer: -4*r*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 616*g**2 - 471*g**2 + 198*g**2 + 3201*g**2.\nAnswer: 3544*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -142 - -97. Let j be (4\/n)\/(16\/40). Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 629 + -627. Find the third derivative of -202*u**3 - 4 + 32*u**3 - 30*u**v + 12*u**2 wrt u.\nAnswer: -1020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d + 2. Suppose -8*j + 30 = -3*j + x, 2*j + 4*x = -6. What are the prime factors of p(j)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -4.6. Let n = q + 0.39. Let t = n - -0.09. What is t rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwehwewgehgww. What is prob of picking 2 g and 1 e?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5478473.8 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, x: 5}. What is prob of picking 3 x and 1 q?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 7*n**2 - 21*n + 85. Let j be g(6). Let h(r) = -5*r**2 + 12. Let o(a) = -4*a**2 + a + 11. Let s(t) = -5*h(t) + 6*o(t). Give s(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100 or -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 10:39 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 197917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 5*f**4\/24 - 13*f**3\/6 - 2*f**2. Let n be z(9). Differentiate 32*o - n*o + 1 + 4*o**2 wrt o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 26 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 6:23 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*o - 39*o - 2557*o**3 - 146*o**3.\nAnswer: -2703*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -309 + 317. Let g(s) = -2*s**2 + 14*s + 16. Give g(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 54.6984.\nAnswer: -55.6984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 9*s**2 + 1268*s + 1258. Give t(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 258 - 127. Let v = 130.98 - x. Which is the second smallest value? (a) v (b) -3 (c) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 109 + -105. Solve -g*n + 25 = -x, n - 2 + 12 = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95833?\nAnswer: 47, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 7*d**2 - 2*d + 14. Let v be f(7). Suppose -2*r - 3*r + 115 = v. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -10*y + 382. What is the units digit of s(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 4*v + 2. Let m be w(2). Let o(i) = 2*i - m*i - 25*i - 7. Let j be o(-6). Round j to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -3*r**8\/28 + 79*r**5\/20 + 679*r**4\/3 + 161*r + 7. Find the third derivative of f(n) wrt n.\nAnswer: -720*n**3 + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1634 (b) 0 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3854733 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 92 - 528. What are the prime factors of s?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1289713 is divided by 57.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**2 + 12. Let x(i) = 16*i**2. What is n(x(g))?\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - x - 6*x)*(-3*x**3 + 2*x**3 - x**3) - 27*x + 4*x**4 + 27*x.\nAnswer: 10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29398722?\nAnswer: 2, 3, 41, 127, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w - 5*w + 4*w)*(1 + 0 + 0) + 2*w - 8257 + 8257 to the form g*w + b and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.95 - 16. Let t = d + 1.05. Let x be 8\/24*3*-1. What is the nearest to x in -2, t, -16?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814 a factor of 119880682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39505913 or 39505915?\nAnswer: 39505915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 4 (c) -0.2 (d) -50 (e) -14 (f) 32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 3*y + 0*y + (0*y + y - 2*y)*(0 + 2 + 0) - y + 0 + 0 - y - 3*y + 3*y - 3*y + 0*y + 4*y)*(-10*y - 21*y + 11*y).\nAnswer: 40*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -42 * 13\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and -5?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5 + 24*q**4 - 224*q**3 + 1008*q**2 - 2160*q + 1728.\nAnswer: -(q - 6)**3*(q - 4)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 137*u + 2964. Let c be b(19). Solve 2*p + 5 = 5*r, 6*r - 11*r - 5 = c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9942508 less than 0?\nAnswer: -9942508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 49 + 40 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1120112 - -1532?\nAnswer: 1122044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -63, 2, 71 in increasing order.\nAnswer: -63, 2, 17, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.166 - -12.566. Let f = -12.9 + m. Let d = -0.1 - -0.5. Which is the biggest value? (a) f (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(-14 + 14 - 7*n)*(6 - 6 + 9) + (5*n + 0*n - 2*n)*(-2 + 1 + 5) + (-4 + 5 - 2)*(-3 + 0 + 8)*(-2*n + 6*n - 2*n).\nAnswer: -124*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(1210) - sqrt(1210)) + sqrt(1210))*1)\/(-5*sqrt(30)\/sqrt(6)*-3).\nAnswer: -11*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 564*x**4*z - 18193*x**3*z**3 + 352*x**2*z**3 - 2*z**3 + 490588*z**2 wrt x.\nAnswer: 13536*x*z - 109158*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*i*i)**(36\/7)*((i**(-1\/10)*i)\/i)\/i**(-2\/3) assuming i is positive.\nAnswer: i**(2279\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -145*m**2 + 163*m**2 - 3 - 34*m**2 - 3*m as v + j*m + y*m**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -574, -932, -1288, -1642?\n\"Answer: i**2 - 361*i - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -1 + 8 + 27 - 6*l - 6 + 29. Let d be f(9). Solve u - 7 = d*g, 2*g + 7 + 21 = -4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 201642*y**3 + 403330*y wrt y.\nAnswer: 1209852*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 = -3*v, -4 = -2*q + 2*v + 2. What is the common denominator of 10\/(-8)*(-102)\/72*q and 29\/9?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72581 is divided by 24193.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(9\/(-12)))\/((-6)\/(-27)). Suppose -17*d + x = -14*d. Determine j, given that d*j + 3*j + 3*j - 6*j + 2*j**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -39*t**2 + 40*t**2 + 5 + 0 - 2*t. Let o be w(0). Solve m = o*m - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 4*v - 7*v)*(3*v - 4*v + 0*v + (6*v - 3*v - v)*(0 + 2 - 3) + v + 0 + 0 - 5*v + 5*v - v)*(-4 + 0 + 1).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 * -6\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4*d + 2656, 2*d = 2*r - 0*d - 2658. Calculate the common denominator of -95\/66 and 3\/(-7) + (-5681)\/r.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491*a + 2575 = 388*a for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 7*o**2 + 4630*o + 104632 = 0.\nAnswer: -638, -164\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*b + 352866 = -94*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1653081191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 7*n + 20. Let f(z) = z**3 + 6*z**2 + 8*z + 10. Let o be f(-4). Let d be (-111)\/15 - (26\/o + -2). Is y(d) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, -126, -573, -1486, -3021, -5334, -8581?\nAnswer: -12918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 846401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 25, 5*y = -3*b + 6 + 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 258 and 6.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1145*z - 958*z + 22023 = -116775 for z.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*((-252)\/(-18))\/7.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/(12\/36*-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6606, -26506, -59674, -106110, -165814?\n\"Answer: -6634*c**2 + 2*c + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.2, 11, -4 in descending order.\nAnswer: 11, 4, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 5*q - 10, 5*j - 13 = -2*q - 2. Let m = -150 + 8852\/59. Which is smaller: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115598 and 4002.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - u**3 - 2*u**3)*(-3*u - 2*u + 4*u) + (7*u**3 + 3*u - 3*u)*(-2*u + 3*u + 0*u) - 3*u**4 - 17*u**4 + 3*u**4.\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -91 greater than -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 98276992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3924270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15961636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 285, 1002, 2387, 4662, 8049?\nAnswer: 12770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 5*c = -c + 29, -5*o - 5*c = 40 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h - 20. Let q be p(-8). Let k = 9 - q. Suppose -u = -2*a + 2*u - 7, 0 = -5*a + k*u - 15. Put -3, -4, a in decreasing order.\nAnswer: a, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1287 + 4.8713. What is the second biggest value in a, -2, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3824336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 159*i**2\/2 - 156*i - 6.\nAnswer: 3*(i - 2)*(53*i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -35156 and -13141677?\nAnswer: 13106521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -9*t**2 + 217*t - 34. Calculate d(24).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -53*c**3 + 3*c**2 - 2*c + 1. Let f be y(3). Let w be 25287\/(-18) + 0 - 1. Let a = f - w. Find the common denominator of 62\/5 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/5 (b) 34 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 10\/9 (c) 4\/5 (d) 3 (e) 3\/2 (f) 102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*q**2 - 3*q**6 - q**2 + 2*q**6 - 4*q**6 wrt q.\nAnswer: -600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(242) + sqrt(242) + 3*(sqrt(242) + 1) - sqrt(242))*3)**2 - (0 + sqrt(2) + 1 - ((sqrt(18) + (sqrt(18) - sqrt(162)))\/sqrt(9))**2)).\nAnswer: -69860 - 4750*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 27 = g + 2, 5*a - 52 = -2*g. What is the remainder when 45 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.046418 take away 71103?\nAnswer: -71103.046418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52*k**3 - 106*k**2 + 8*k**6 - 96*k**3 + 46*k**3 wrt k?\nAnswer: 960*k**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (6 + 18)\/((-38)\/(-627)) and 176.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52665827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -7*j**3 - 43*j**2 - 89*j + 36. Let z(s) = -3*s**3 - 21*s**2 - 45*s + 18. Let l(b) = 2*y(b) - 5*z(b). Let h be l(-16). Which is smaller: h or -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 2, -0.018, -0.1, -221?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 30*f - 4555. Determine s(152).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 3*f - 10. Let o(y) = -53*y + 3. Let l(i) = -93*i + 5. Let m(r) = -4*l(r) + 7*o(r). Let z(u) = 7*u**2 + 2*u + 2. What is f*m(g) + z(g)?\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-320)\/288)\/(-5*(-133)\/(-126) - -5). Suppose -2*u - k = -2, -4*u + 3*u - 9 = 3*k. Solve -u*t + 9 + 8 = -5*h, m*h = 4*t - 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*sqrt(2)*-1 - (sqrt(2) + -1)*5).\nAnswer: -4*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 196127099 plus 8?\nAnswer: 196127107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i, -w - i = -17 + 92. Let n = 7 - w. Does 24 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 q when three letters picked without replacement from ggggggggggggqgggggg?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 - -35. Let q = -0.441 + 78.341. Let z = -78 + q. Which is the closest to 2? (a) z (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -345 - -358. Suppose -1902 = h*f - 10222. What is the greatest common divisor of f and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - s - 16 = s, -3*q - 2*s = -5. Solve q*r = -2*r - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(325)*1)**2 + -1.\nAnswer: 11699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 8 = 3*u. Let s(i) = u*i - 15 - i**2 + 23 - i**2 + 6*i**2. Let t(l) = -7*l**2 - 7*l - 15. Give -11*s(w) - 6*t(w).\nAnswer: -2*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-24))\/(-1))\/(91\/(-28) - -1)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*s**4 + 2106*s**3 - 600*s**2.\nAnswer: -3*s**2*(s - 100)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.548 * 6659.\nAnswer: 3649.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5 = -2*b + 12, 0 = 2*b. Let n(j) = j**3 - 6*j**2 - 6*j - 2. Let z be n(u). What is the remainder when 12 is divided by -2 + (-5)\/(z\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of z**7\/840 - z**6\/80 + 13*z**5\/240 - z**4\/8 + z**3\/6 - 4*z**2. Solve g(u) = 0 for u.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 629*a - 16746. What is t(22)?\nAnswer: -2908","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -24. Let n(j) = j**2 - j. Let v(r) = r. What is p*n(i) + v(i)?\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/8)*c**(1\/2)*(c**(-1))**(16\/9) assuming c is positive.\nAnswer: c**(-65\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q**2 - 9 + 6*q**2 + 2 + 2*q**2 - 16*q. What is the units digit of k(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103975 take away 1.3?\nAnswer: -103976.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/(1281\/122)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d - 1. Let c be p(-1). Let x be -3*c*(-3)\/(-2). Calculate the highest common divisor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minus 0.234?\nAnswer: 49.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -319897, -639806, -959729, -1279672, -1599641, -1919642?\n\"Answer: -a**3 - a**2 - 319899*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2*o = 186, 2*o + 69 = 3*k - 205. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t**3 - 20*t**2 - 3*t - 3. Let k(w) = -3*w**3 - 19*w**2 - 2*w - 2. Let c = 1683 - 1680. Give c*k(g) - 2*b(g).\nAnswer: -g**3 - 17*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4149.\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5539*a*x**2 + 47325*a + 420161*x**2 - x + 268 wrt a.\nAnswer: -5539*x**2 + 47325","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -20*h + 29. Let p(k) = -k**3 - 10*k**2 - 15*k + 8. Let u be p(-8). Suppose -2*c - r - 25 - 7 = 0, c + 4*r + 30 = u. Is l(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16491784*q*v**3 - 7*q*v**2 + q + 32*v**2 + 2977 wrt v.\nAnswer: -98950704*q","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iidi when four letters picked without replacement from {i: 3, m: 2, g: 5, d: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -93196, -93169, -93092, -92941, -92692, -92321, -91804?\n\"Answer: 4*q**3 + q**2 - 4*q - 93197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 791 = -1345. Let a = -72 + x. What are the prime factors of a?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 1451484 and 1451483 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0535 + -0.072?\nAnswer: -0.0185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and -548444.\nAnswer: 7129772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -246*v + 5. Let u be s(0). Let r(l) = -6*l + 13. Let w(a) = -9*a + 20. Determine u*w(i) - 8*r(i).\nAnswer: 3*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1112*v + 1115*v - 1728. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 2*c**2 + 4*c - 2. Let k be j(3). Let z be (k\/(-3))\/((-3)\/27). What is the second derivative of -7*g**3 + 4*g - 2*g**3 + 3*g**z wrt g?\nAnswer: -36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 + 64. Let u(c) = -c**3 + 5*c**2 + 4*c - 2. Determine u(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 33*x + 2. Let i(b) = b - 3. Let k(w) = -1. Let v(z) = -i(z) + 3*k(z). Determine g(v(u)).\nAnswer: -33*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*p - 5, -p - 1 = -7*u + 4*u. Let r be (-24)\/9 + (-4)\/(-6). Let d be r + ((-9)\/(-6) - 0). Is u at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*z - 8*z - 11*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0308929647 - -81.\nAnswer: 81.0308929647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 39*i**2 - 2257*i + 10110. Calculate c(53).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*k = r + 3, 5*r = -5*k. Let p be (k\/2*-2)\/(5\/(-30)). Solve 0 = -2*d + p*d - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67\/973 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3229203 and 15069614.\nAnswer: 45208842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-96)*2)\/((-10)\/18).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 99*r. Let n(m) = 159*m**2. Calculate n(i(b)).\nAnswer: 1558359*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4 - 6*x**3 - 3*x**2 + 52*x - 60 = 0. Calculate x.\nAnswer: -3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4110042 - 1?\nAnswer: 4110041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77483 is divided by 77221.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6 (b) -1\/7 (c) -2\/7 (d) 0 (e) 0.112\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 98165.87g in nanograms?\nAnswer: 98165870000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -t - 1, 0*r + 3 = 4*r - 3*t. Suppose -f = 5*k + 1933 - 1946, -2*k - 2 = -2*f. Suppose -4\/11*v + r + 10\/11*v**k = 0. What is v?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 111816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 87883594507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 11:31 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -148*l**6\/15 + l**3\/6 + 388*l**2 + 850*l. Differentiate r(n) wrt n.\nAnswer: -1184*n**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2401483.\nAnswer: 7, 53, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12488 and -0.07.\nAnswer: -12488.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*a**3 + 6037*a**2 + 5*a - 19900589 with respect to a.\nAnswer: -63*a**2 + 12074*a + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2\/13, 1\/36 in increasing order.\nAnswer: -3, -2\/13, 1\/36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a minute in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 2. Let t = -133 + 131. Let u(v) = -2*v**2 + 8*v + 20. Let z be u(t). What is m(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 54*k - 63*k - 10*k**2 - 9)*(0 - 778*k - 2 + 752*k).\nAnswer: 260*k**3 + 254*k**2 - 8*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j**(5\/6))\/j)*j)\/j*j**(-1\/25)\/j assuming j is positive.\nAnswer: j**(-131\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 112 and 9169 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*x = -47*x - 3*r + 12, 0 = -5*r + 5. Let v = 0.037 + 1.963. Which is the fourth biggest value? (a) x (b) -2 (c) 0.06 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 3 (c) -0.3087 (d) 14 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**2 - 9*a. Let p(s) = s**2 + 2*s. Let l(m) = 9*p(m) + 2*u(m). Let k(q) = 3*q**2. What is k(l(o))?\nAnswer: 27*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 1, 0 in descending order.\nAnswer: 5, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111 + -68. Let f = l + -51.6. Round f to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63959 + 142079. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 82953.23 weeks?\nAnswer: 580672.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*141.917702.\nAnswer: 425.753106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**3 + 21*z**2 + 2*z + 7. Let y be l(-10). Suppose 19*h = y + 179. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adtxnjn. What is prob of sequence jxn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002 plus -8536579?\nAnswer: -8538581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 342 + -343. Let b = -157.4 - -162. Sort 1\/10, b, c.\nAnswer: c, 1\/10, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 741 divided by -1?\nAnswer: -741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**8\/11200 + j**7\/4200 - j**6\/75 + j**5\/10 - 3*j**4 - 28*j. Let x(i) be the third derivative of g(i). Solve x(f) = 0 for f.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 5, -191, 19, 26 in ascending order.\nAnswer: -191, -20, 5, 19, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 9 = 3*z, -3*p + z + 12 = 0. Differentiate 4*g**3 + 2*g**3 + 4 - 6*g**p + 2*g**4 with respect to g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -2 + 4\/(-5). Which is the nearest to 0.1? (a) 1\/2 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + g - g + (-1 - 3 + 3)*(g + 0*g - 6*g) + 2 - 2*g - 2 - 5*g + g + g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h + 75*h**2 + 5*h - 17*h**2 + 7*h - 4*h - 20. What is the remainder when q(2) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65894 - -27016451\/410. Find the common denominator of z and -1\/369.\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o**2 - 2*o + 3. Let p be x(1). Let b(j) = -2*j - 3 - 2 + 7 + j. Determine b(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16442 is divided by 1868.\nAnswer: 1498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/1107 and -91\/270?\nAnswer: 11070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2820710443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -5\/6*q**3 + 1\/8*q**4 + 0 - 29*q**2 + 0*q. Calculate f(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 6:53 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 465120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 7*v = 20. Let i be -3*((-6)\/6 + 0). Suppose -v*b = -3*r, -r - 2*b = i*r. Solve -2*y = -r*y + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -575, -1166, -1755, -2342, -2927, -3510, -4091?\n\"Answer: u**2 - 594*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2 + w + 1 - 4. Let o(x) = -12*x + 8. Let i(v) = o(v) + 8*u(v). Let p(b) be the first derivative of -3*b**2 - 12184. Determine i(p(t)).\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 45743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -12*c - 5. Let u(s) = -s - 4. Let b(x) = 225*x + 84. Let k(t) = b(t) - 3*u(t). What is -96*j(w) - 5*k(w)?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 at most 12085047?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 70. Let y(l) = -10*l + 665. Let b(k) = -19*p(k) - 2*y(k). Let f(j) be the second derivative of -38*j**3\/3 - 6*j. Give b(f(g)).\nAnswer: -76*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/15)\/(1\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = l + 5018*h - 5015*h, -2*l = -2*l - 3*h - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/(25*(-10)\/(-1250)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from {y: 1, b: 1, q: 1, w: 1, t: 1, n: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 298444 - 188444. Suppose 3*n = s + 2*s - 15, 3*n + 4*s - 20 = 0. Suppose -7*k - 4*k + l = n. Round k to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 + 41*p + 6. Give l(21).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2239852399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.3 + 3. Let x = -125 - -129. Let c = 1 + -1.5. Sort b, c, 3\/7, x in descending order.\nAnswer: x, 3\/7, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-510)\/(-595))\/((-30)\/28). Which is the second smallest value? (a) 6 (b) r (c) 0.2 (d) -2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*q**2 - 10*q**2 - 11*q**2 - 21*q + 162*q**2 + 22*q - 16 to r + y*q**2 + j*q and give y.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -9 + (13 - 5 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b**3 + 2*b**2 - 10*b - 16. Let r be s(-2). Let m be (13\/(-9) - -1) + 164\/r. Put 4, -3, -1, m in decreasing order.\nAnswer: 4, -1, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 13. Let z(i) = -2*i - 3*i + 6*i + i. What is n(z(m))?\nAnswer: 2*m - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 - 267 - 155 + 26.\nAnswer: -v**2 - 396","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-30)*(-100)\/30.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7907, 7929, 7951, 7973, 7995?\n\"Answer: 22*c + 7885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 177.87 + -194.2. What is f rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - t**2 - t + 4. Suppose 3 = 2*f - 1. Calculate h(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**3\/3 - 140*d**2\/3 + 2812*d\/3 - 5056\/3 = 0.\nAnswer: -158, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361 - 355 = 54*i - 68 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103 - -92. Let z = 516 - d. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 3*m + 2*m - 18, -212*y = -2*m - 201*y - 21 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2206273?\nAnswer: 37, 59629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 133 + -134. Let r(n) = 8*n + 0 - 7*n + 0 - 1. Give r(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -0*i. Suppose i = 6*u - 8*u + 208. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (596\/(-10) - (-87)\/145). Suppose -a*j + 57*j = -1512. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171855 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1061771*a**2 + 1349550 wrt a?\nAnswer: -2123542*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5\/7 - 258092*y**4\/7 + 2064652*y**3\/7 - 5677720*y**2\/7 + 6193842*y\/7 - 331812 = 0 for y.\nAnswer: 1, 3, 129038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 249 (b) -1 (c) 3 (d) 4\/3 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 4*q + q. Suppose -4*p + 30 = 4*u + u, 3*u = -3*p + q. Solve p + 3 = 2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l**2. Let i be a(-1). Let p(m) be the second derivative of m**4\/12 - 5*m**3\/6 + 3*m**2\/2 - 2*m. Let h be p(4). Put h, 3, i in descending order.\nAnswer: 3, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5715, 11430, 17145, 22860, 28575, 34290?\nAnswer: 40005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5395)\/184509*45\/50\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsr when three letters picked without replacement from {f: 4, r: 4, s: 7}?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 3. Suppose -62*l + 33*l + 29 = 0. Let q(p) = 1. Give l*f(o) - 4*q(o).\nAnswer: o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 20\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -184 and -64.51.\nAnswer: 11869.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 863239, 863234, 863225, 863212, 863195, 863174?\n\"Answer: -2*z**2 + z + 863240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -1) + -4*2. Let f be 1\/t*25\/30. Let i = -34 + 29. Which is the nearest to -1\/3? (a) -4 (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -236 - -120. Let s = -111 - x. Calculate the smallest common multiple of 11 and s.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1253462 divided by 5.\nAnswer: 1253462\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/8 + (-9053)\/(-3292)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 323, 407, 491, 575, 659?\n\"Answer: 84*g + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b8 (base 12) to base 11.\nAnswer: 35a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -80 divided by 361\nAnswer: -80\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3537 + 161.3\nAnswer: -3375.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -191 + 234. Calculate the remainder when r is divided by 3*(-1)\/2*-6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1290*o + 666 = -1327*o for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1347 - -1471.1. Let c = w + -117.31. Let f = c + 0.21. Put f, 0.3, -4 in increasing order.\nAnswer: -4, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -11*h. Let u(w) = -1574497*w**2. Calculate u(v(g)).\nAnswer: -190514137*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**3 + 4*p**2 + 4*p - 2. Let r = 30 + -35. Let c(t) = -4*t**3 + 5*t**2 + 5*t - 3. Determine r*f(x) + 4*c(x).\nAnswer: -x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 48.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-14)*-12 - -2. Let q = 10 - 21. Let x = q - -8. Which is the second smallest value? (a) d (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -453*k - 2516*k + 69*k - 1004*k.\nAnswer: -3904*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 648 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -22*w + 28*w. Suppose c = -0*c + 5. Is 22 a factor of ((-66)\/c)\/(6\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7196199713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -14*f - 1. Let r(k) = k + 7. Let u be r(-7). Suppose -h - 4 + 2 = u. Is 10 a factor of l(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f + 4*f - f)*(-258*f - 468 + 468)*(f + 0*f - 2*f) to the form s*f + t + d*f**3 + m*f**2 and give d.\nAnswer: 1806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/9 (b) 2356 (c) 0.4 (d) -4 (e) -2\/89 (f) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-510)\/(-51))\/(((-3)\/(-3))\/((-2)\/(-6))).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxrx when four letters picked without replacement from rxxxxrrx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 3280.4?\nAnswer: 13121.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*r + 35, -3*u + 22 = r - 3*r. What is the remainder when 15 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 949.45251\nAnswer: 1898.90502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.8004716ng?\nAnswer: 0.0008004716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22826+-2304578\nAnswer: -2281752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 236 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 5*p + 15. Solve 1 + 4 = p*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 6:16 PM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from azomezho?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**14)\/o*(o**(1\/4)*o)\/o*o*o*(o**(-4))**28 assuming o is positive.\nAnswer: o**(-495\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 3. Let s be ((-2)\/4)\/(q\/(-8)). Suppose 24 + s = 4*n. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01631584247 to 4 dps.\nAnswer: 0.0163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 87979 and 2069?\nAnswer: 182028551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -3, -2\/9, 7 in decreasing order.\nAnswer: 7, 5, -2\/9, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -6*m**2 + 1\/36*m**6 + 0*m**3 + 0*m + 4\/315*m**7 + 0*m**4 + 7 + 1\/504*m**8 + 1\/45*m**5. Factor f(u).\nAnswer: 2*u**2*(u + 1)**2*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 n when three letters picked without replacement from nnvnnnuvu?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/(-13) - (-40 + -5)\/1. Solve -v*z - 14 = -50*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -100.435 to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 39\/(-4)*1*-4. Suppose 11 - b = -7*n. Solve 7*p - 5*y = n*p + 15, -5*p + 25 = 5*y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1228*a = -8*t + 1232*a + 248, -3*t + 165 - 90 = 3*a for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11352 divided by -12.\nAnswer: -946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.3953 to the nearest integer.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -351a - -11?\nAnswer: -3509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92611.\nAnswer: 37, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1315574*-8.1.\nAnswer: 10656149.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z - 23. Let k be t(9). Let h be (k\/3)\/((-12)\/(-54)). Find the third derivative of -11*i**2 - 2*i**4 + 0*i**4 + h*i**2 - 2*i**4 wrt i.\nAnswer: -96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10578 by -5289.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -4. Suppose 5*g + 3 - 33 = j. Let o be (40\/(-24))\/(2\/g). Let p(x) = -3*x - 7. Give p(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(((-2)\/10)\/((-10)\/(-30)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 5 (b) 0.03 (c) 0.1 (d) 0.703\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 774876 or -217?\nAnswer: -217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yifi when four letters picked without replacement from {y: 12, i: 6, f: 1}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) -14 (c) -4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/2*(-10)\/20.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3432.331 and -85?\nAnswer: 3517.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -814*s**2 - 4 + 125*s**2 + 4.\nAnswer: -689*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 21 + (-2 + 16 + -6 - 7) + 47\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**4 + 144*y**3 - 776*y**2 - 37296*y + 185380 = 0?\nAnswer: -31, -23, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 269*k**2 - 2*k + 2871. Let l(j) = 805*j**2 - 6*j + 8611. Let w(x) = -6*l(x) + 17*y(x). Differentiate w(q) with respect to q.\nAnswer: -514*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 846*g.\nAnswer: -2*g*(g + 423)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2276894488?\nAnswer: 2, 11, 19, 59, 23081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20.1 + -0.1. Let k = -20.0000142 + u. What is k rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21021.65 - 2\nAnswer: 21019.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -5*g**4\/12 - 8*g**2. Let m(j) = -11*j**2 - 5*j**2 + 24*j**2 - 11*j**2. Calculate m(p(l)).\nAnswer: -300*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -11*r**2 - 2. Let q(x) = -x**2 - 1 + x**2 + 10*x**2 - 14*x**2 + 0 + 3*x**2. Suppose 0 = -0*z - 3*z + 6. Give z*q(s) - o(s).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**5\/60 - 19*z**4\/12 - 10*z**3\/3 + 2*z**2 - 43. Is 11 a factor of t(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -17341523?\nAnswer: -17341527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -5, -18, -33, -50, -69?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(720) - sqrt(720) - (1 + sqrt(720) + 0) - (1 + 1 + sqrt(720) + (sqrt(720) - (sqrt(720)*-1 + -4))))*-4 + 0.\nAnswer: 4 + 192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2555564*m**3 - 4139416*m**2 - 69232*m - 288.\nAnswer: 4*(11*m - 18)*(241*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3752\/(-8442)*(-2)\/(-2).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 0.5, 10, 0.4, -2\/3, -3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**3 + 27438733*b**2 - 82316192*b + 54877460 = 0. What is b?\nAnswer: 1, 2, 27438730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*f. Suppose f = 5*v + 10, v = -4*h + 30. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 j, and 1 y when three letters picked without replacement from yyysykjjx.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 872401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -4. Let h = l + 10. Let w = 6317 - 6315. Which is the third smallest value? (a) h (b) w (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 14*w**2 - 2*w + 9. Let j(m) = -m**3 + 15*m**2 + m - 9. Let i(o) = 6*j(o) + 7*x(o). What is the units digit of i(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 30*z + 79. What is the tens digit of p(-29)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15284 or -15285?\nAnswer: -15285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhdddhdhd. What is prob of picking 2 h and 1 d?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 2:44 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -143*c**4 + 27*c**3 - 27*c**2 + 37*c?\nAnswer: -3432*c + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111 (base 2) to base 8.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2467578?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -11 + 31. Suppose -z + 4*o + 1 = o, -d*o = 5. Let g(k) = -k**3 + 2*k**2 - 3. Let y(n) = 3*n**3 - 4*n**2 + 7. Determine z*y(u) - 5*g(u).\nAnswer: -u**3 - 2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 34 = -2*k, -i + 2*k - 5 + 3 = 0. Let d(q) = -13*q - 61. What are the prime factors of d(i)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 q when two letters picked without replacement from hqqqhqhhhhqqhqqqqqq?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjwwjwxwwwwjojwwwjw. Give prob of sequence oxwx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 11:52 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697600?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 88280400 a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1588 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -4, 3, 11 in increasing order.\nAnswer: -4, 3, 11, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**14)**24 assuming k is positive.\nAnswer: k**(-312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxeuusexuxeebxsu. Give prob of sequence euxs.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pap when three letters picked without replacement from spssssapplpmpsslp?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-210)\/(-4)*(-36)\/(-15). Calculate the greatest common factor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {s: 2, e: 13, v: 2, h: 1, m: 2}.\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*r + 60*r = -36 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*t + 3*t - t - 4)*(1 + 1 - 1)*(-2*t + 13 - 13) in the form h*t + o*t**2 + z and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 4*c - 10. Let t(l) = -l**2 - 3*l + 7. Let z(q) = 2*b(q) + 3*t(q). Suppose 0 = 3*p + 6 - 0. Calculate z(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(0 + -2))\/2. Suppose p*t = t - 63000. What is t rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/3 + t\/3.\nAnswer: t*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (112970\/15)\/11*3\/2. What is the highest common factor of 79 and n?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 4*t**5\/15 + t**3\/6 + t**2 - 40*t. Give u(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/260 and 57\/7584785.\nAnswer: 30339140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1909*j + 245 = 3*l - 1914*j, -7*l + 81 = -j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -29644.019?\nAnswer: 29644.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/7 + 15*i\/7 + 26\/7.\nAnswer: (i + 2)*(i + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 77, 83, 89, 95, 101?\n\"Answer: 6*h + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-480)\/(-168)*56\/20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*w - 32 - 37 = 0, 0 = -3*w - 9. What is the highest common factor of 2093 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 16, 0.0948, -0.2, -0.5 in descending order.\nAnswer: 16, 0.0948, -0.2, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 163, 155, 147, 139?\n\"Answer: -8*j + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of w**6\/120 - 2*w**5\/15 + 7*w**4\/24 - 5*w**3\/6 - 6*w**2. Determine r(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 16 + 66 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 k when two letters picked without replacement from hmmmmmhmbmkmm.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*x + 5. Solve -29*m - x = -34*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24 and 1999495.1?\nAnswer: -47987882.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147*m**2\/2 + 54432*m - 10077696.\nAnswer: -3*(7*m - 2592)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1537, 6163, 13881, 24691, 38593?\n\"Answer: 1546*b**2 - 12*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.091 and -0.009.\nAnswer: -0.000819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 31, -0.04, -2, -1869?\nAnswer: -1869","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*a - 115*a - 9 = 0. Let f be 112\/12 - (-2)\/(-6). Calculate the highest common factor of f and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/5 and -103\/12255030?\nAnswer: 12255030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 37*n**3 + 2*n**2 + 9*n - 11. Determine y(1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94781095 to the nearest integer?\nAnswer: 9736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**3 - 57*q**2 - 47*q - 256. What is b(-11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + t = -5*y - 3, 5*t - 3*y = -11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**5\/4 - 14*r**4 - 167*r**3 - 280*r**2 = 0. What is r?\nAnswer: -40, -14, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/2*8)\/1. Suppose 2*q + f = 4*q. Let b(c) = 2*c**2 + 5*c - 3. Calculate the smallest common multiple of q and b(-5).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g**2 + 837*g - 911. Let c(h) = 2*h**2 - 279*h + 304. Let i(a) = -11*c(a) - 4*d(a). Differentiate i(z) wrt z.\nAnswer: 4*z - 279","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 7841*x**2 - 40*x + 109. Let h be r(3). Suppose h = 17*v - 45637. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2984756?\nAnswer: 2, 23, 32443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5849\/(-6) - 2\/12. Let b = f - -978. Find h, given that -1\/6*h**2 - 11\/6*h + 1\/3*h**b + 5\/3 = 0.\nAnswer: -5\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/11 - 3070*k\/11 - 74832\/11.\nAnswer: 2*(k - 1559)*(k + 24)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 1. Let i(k) = k**3 + 6*k**2 - 6*k + 7. Let a be i(-7). Let p = a - b. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 10*o**3 + 7*o**2 - 7*o + 7. Let j(d) = -7*d**3 - 5*d**2 + 5*d - 5. What is -7*j(r) - 5*u(r)?\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 7060 = -4*h, 0 = -9*i + 10*i + 3. Calculate the greatest common factor of h and 952.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 - 55 + 4*y**3 - 18*y + 56 - y**3 to u + m*y**3 + w*y + z*y**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76 - -4. Is 27 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**7*h)\/h**(-1\/5))**35 assuming h is positive.\nAnswer: h**287","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3557 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -0.2, 4, -0.1, 2\/5 in ascending order.\nAnswer: -10, -0.2, -0.1, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2164, -2168, -2172, -2176, -2180?\n\"Answer: -4*x - 2160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(3 - (-68)\/(-20)). Let y(p) = -p**2 - 5*p - 3. Let c be y(-4). Let n = -2 - -1.6. What is the nearest to -1 in z, c, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1973 and 274?\nAnswer: 2247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165048 divided by 276.\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 4*l**2 + 4*l + 2. Let o be p(5). Let x be (6 + o)*(-1 + -1). Let n(s) = 0*s**2 - 4*s + 3*s**2 + 7 - 4*s**2. Give n(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15801 - -14828.3. Let y = q - -973. Which is the third biggest value? (a) y (b) -4\/3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 14*d. Let j(w) be the third derivative of 5*w**4\/8 + w**3\/6 - 3*w**2. Let q(u) = 4*j(u) - 5*s(u). What is the tens digit of q(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 124 = 3*j, 2*z + 17 = 2*j - 65. Solve -4*a + 3*x + 2*x - j = 0, 0 = x - 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1289 + -757. Let c = g + -330. Is c less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19 or -3388\/179?\nAnswer: -3388\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -423 - -469. What is the nearest to 5 in -3, s, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + r + 2*r + 3*r - 4*r + (-2 - 4 + 4)*(-2*r - 1 + 1) - 2*r - r + r + 7*r + 0 + 0 to p*r + s and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 9*p + 181. Give l(-22).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/14 + 39*(-1)\/(-42). Suppose 0*d = -4*d + 32. Let v(j) = j**2 - 7*j - 10. Let h be v(d). Is u at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55616502619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 434121 and 1221.\nAnswer: 4775331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*z - 2197 + 457. Let n = -114 - z. Solve 0 = p + 7 - n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -9775 (c) 357\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 114*c + 152. Calculate l(-4).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 256 and -1833359?\nAnswer: 1833615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2825*-0.2.\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syss. What is prob of sequence sy?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-67)\/603*(1332 - (-11 + 2)).\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from annzbnnzzanzfaffnz. Give prob of picking 1 f and 1 z.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.5 and -0.7.\nAnswer: -2.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3394886?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 4*b**3 + 0 - 202*b**3 + 6.\nAnswer: -206*b**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c. Let s be 0 - 0 - (0 + -6). Let g(p) = 94*p - 19. Let h(j) = s*u(j) + g(j). Find the first derivative of h(q) wrt q.\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/247 in 486, 0.5, -10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 2 = -8*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17728533?\nAnswer: 3, 89, 22133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*m**19\/m)*m)\/m*m**14 assuming m is positive.\nAnswer: m**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**4\/24 - 3*n**3\/2 + 2*n**2. Let m be y(9). Suppose m = 2*j - 5*o + 1, 2 = 4*j - 2*j - 2*o. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2. Let z(b) = -228*b. What is k(z(v))?\nAnswer: 103968*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 24885433.3 rounded to the nearest ten thousand?\nAnswer: 24890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1505340160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -79*n - 882. Determine c(-11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**6\/90 + o**5\/60 + o**4\/12 - o**2. Let s(b) be the second derivative of l(b). Let v be ((-1 - 6) + 3)\/2. Calculate s(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 6 = -2*a, 12 = 4*s + s + 4*a for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f. Let j(s) = -20*s. Let y(a) = a. Let k(u) = -4*j(u) - 72*y(u). What is b(k(l))?\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -899*b**3 + 2268*b**2 wrt b.\nAnswer: -5394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-9))\/u*u**(-10\/9)*u)\/(u**(4\/7)*u*u**5) assuming u is positive.\nAnswer: u**(146\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmmw when four letters picked without replacement from {m: 2, d: 5, w: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -240*u - 463. What is the remainder when 2793 is divided by g(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85797347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 705*n - 711. Determine v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5\/8 (b) 2\/23 (c) -18 (d) -3 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 129*p**2 + 74*p**3 - 717 + 276*p**3 - 72*p**2 - 57*p**2 wrt p.\nAnswer: 1050*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 23 - q + (1 + 4 - 4)*(-q + 0*q - 4*q) - q + 0*q - q)*(2*q**2 + 0*q**2 - q**2).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a - 39. Let g(t) = 4*t - 80. What is 4*g(b) - 7*k(b)?\nAnswer: 2*b - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + 0 + (-7 - -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 103091.\nAnswer: 103090.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**8\/168 + 32*f**7\/315 - 41*f**6\/108 + 53*f**5\/135 - 4*f**4\/27 - 4*f**2 - 2*f + 23. Find v such that x(v) = 0.\nAnswer: 0, 1\/3, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 5*c**4\/12 - 98*c**2 - 3. Let j be -4*(3 + -4)*1. Let l(k) = 2*k**2 - 2*k - j*k**2 + 2*k. Give n(l(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 629241.\nAnswer: 3, 137, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211362320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j - 20. Let n be s(-12). Solve -h + n*q + 3 = -3, 2*h + q = 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -23*z**3 - z**2 + 2*z - 1. Let y(q) = 15*q - 53 - 1 - 10*q. Let p be y(11). What is i(p)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -75*f + 5. Let x be n(8). Let r be 1\/7 + (-391)\/x. Let s = -12.1 - -14.1. Which is the biggest value? (a) 2\/3 (b) r (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41455787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7373, -7372, -7371?\n\"Answer: k - 7374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 752125357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1952 and 0.5028.\nAnswer: -981.4656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103325*g = -109208*g - 647130 for g.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 1357?\nAnswer: 15\/1357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 2*p = -6, 8*c + 4*p = 3*c - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g - 8 = 0. Suppose -t - 1 = i + 1, 4*i + g*t + 14 = 0. What is the units digit of i\/20 + 675\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-48)\/(-16))\/(1\/3). Suppose -z*k + 7*k = -10. Is k smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2212 (base 7) in base 4?\nAnswer: -30121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 1875*g + 1370618. Give x(-731).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owiwoorivrow. What is prob of picking 1 w, 1 i, and 2 o?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19cc (base 13) to base 16.\nAnswer: -f2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.068986 to three decimal places.\nAnswer: -0.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -14*o - 2. Let t(j) = 15*j + 3. Calculate 3*p(g) + 2*t(g).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/8*-2*-17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42 - 2*o**3 + 2 - o + 88 + 3*o**3 + o**2 + 62 to the form u + l*o + r*o**2 + f*o**3 and give u.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 11) in base 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42828 divided by -1?\nAnswer: 42828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 152 = -n, -158 = -n - 7*r + 11*r. Let a = 40 + 66. Let s = n - a. Is 17 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a week in hours?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8\/25 of a gram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2*w)**(11\/7)\/(w*w*w**(-5)*w*w\/(w\/(w\/(w\/(w**5*w))*w)*w)) assuming w is positive.\nAnswer: w**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 13) to base 15\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -101111101?\nAnswer: -101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 5\/3)*(135 - 6). Let q = l - 79. Calculate the greatest common divisor of q and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 256*j*t**3 - 4*j*t**2 + 27981*j*t + j - 147507*t**3 - 2*t**2 + 4*t - 5 wrt t?\nAnswer: 1536*j - 885042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4436447911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 12:58 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11971, -47010, -105401, -187144, -292239, -420686?\n\"Answer: -11676*a**2 - 11*a - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4672*l + 925284. What is p(-198)?\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 147 = 1750. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 11:08 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*r + 12 = 0, -i + 0*i + 18 = 4*r. Let q(a) = 5*a**3 - 3*a**2 - 2*a + 1. What are the prime factors of q(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 15788985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*p**4 - 27564*p**3 - 903237 wrt p?\nAnswer: 36*p**3 - 82692*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 5*a**2 + a - 2. Give g(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14356.03 - -14356. Sort m, 42, 1\/7 in descending order.\nAnswer: 42, 1\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37718 or 0?\nAnswer: 37718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13301 - -40411?\nAnswer: 22110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*x**5 - 10*x**4 + 466*x**3 - x**2 - 59*x - 38 wrt x.\nAnswer: 600*x**2 - 240*x + 2796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3207525 and 0.178.\nAnswer: 3207525.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by (-10)\/2 - (-299)\/23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279161.\nAnswer: 131, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -33*v - 30. Let g be r(-1). Suppose -2*q = 3*n + 20, 2*n + 5*q - g = -31. Let x(p) = 2*p**3 + 7*p**2 - 4*p. Give x(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*m + 25*m + 1611 - 36*m.\nAnswer: -54*m + 1611","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1121 + -1112222?\nAnswer: -1121120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 5 - 6 - 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 533 = 5*w, 2*w + 75*y + 217 = 78*y. Let t = 95 - w. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 152 - 151.9999661. What is c rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 28\/14) + (-20)\/(-6). What is the closest to -2 in -2\/5, 1, y, 0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*q - 2*q + 0*q)*(-4*q - 4*q + 6*q) - 40*q**2 - 54*q**2 + 142*q**2)*(7*q - 61 - 62 + 122).\nAnswer: 364*q**3 - 52*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + 36. Which is the biggest value? (a) 0.3 (b) x (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdnfntffdn. What is prob of picking 1 f and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2694 - -2700. Let s(g) be the first derivative of 0*g**4 + 0*g**3 + 13 + 5\/3*g**j - 4*g**2 + 0*g**5 + 0*g. Find the second derivative of s(f) wrt f.\nAnswer: 200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 21 = 3*t - 6*y, -21 = -2*t + 5*y. Let n(x) = 2 + x**2 - 5*x + 2*x**2 + 2. What is the remainder when 46 is divided by n(t)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.915 times -10?\nAnswer: -19.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 0, 6, 14, 24?\n\"Answer: w**2 + 3*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g. Let k(b) = -206*b**2 + 3409*b**2 - 4767*b**2 - 4038*b**2. Give c(k(m)).\nAnswer: 5602*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, i: 2}. Give prob of picking 2 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 28 = -5*r, 7*r = 4*r - 5*i + 30. Let c(u) = -u**3 + 3*u**2 + 6*u - 2. Calculate c(r).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 15, 0.09?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -9*k - 276. Let m = k + 46. Suppose 7*u - 42 = -0*u. Solve -2*w + 5*f - 27 = m, -f - 25 = -u*f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.31 + 0.01. Let t = -0.8 - -1.2. Let n = t - 0.4. Is z greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4895, -3\/23, -1?\nAnswer: -4895","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 2*j - j)*(6*j + 7*j - 6*j) + (-j - 4*j + 4*j)*(-2*j + 3 - 3) + 3*j**2 + 0*j**2 - 2*j**2.\nAnswer: 17*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1795*v + 898*v + 0 + 906*v - 2 + 2.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3.27062 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13188+957\nAnswer: 14145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -6. Suppose 9 = b*o - 11. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*w - 69*w = 13942932. Round w to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five thirds of a day in minutes?\nAnswer: 26400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p - 271 + 307 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6171, -12352, -18533, -24714, -30895, -37076?\nAnswer: -43257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 102?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (4 + -2 - 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 320*r**3 - 17*r + 341. Let n(p) = 107*p**3 - 6*p + 113. Let a(j) = -6*f(j) + 17*n(j). What is the derivative of a(i) wrt i?\nAnswer: -303*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1262 is divided by 47?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101212 - -2100110202?\nAnswer: 2100212121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 15*i**4\/4 - 9*i**2 - 21. What is the second derivative of v(x) wrt x?\nAnswer: 90*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54013929 and 21219?\nAnswer: 1929","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 11344 - 2*w - 6845 - 8*w.\nAnswer: -11*w - 18189","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p + 80. Let t be (2*(-10)\/12)\/(2\/(-30)). Let g be r(t). Put g, 0, -20 in increasing order.\nAnswer: -20, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5981751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44315009?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**5\/40 - h**3\/4 + 80*h**2. Determine n, given that z(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m - 16*m + 26*m**2 + 19*m + (0*m + 3*m - 4*m)*(m - 2*m + 2*m) - 13 - 16 + 3*m**2 + 32.\nAnswer: 28*m**2 - 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.195909817 to two dps.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, c: 10, p: 2}. Give prob of picking 4 l.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 0*j**2 + 1\/2*j**4 + 3*j - 5\/6*j**3 + 0. What is the second derivative of l(h) wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -124 + 129. Suppose 0 = c - 5*t - 61 + 15, 3*t = -a*c + 146. What is the highest common divisor of c and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.38540011 + -0.3855. Round l to six dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2))**(-30)\/(x**1)**(-1\/7) assuming x is positive.\nAnswer: x**(421\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/16 - 6\/(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q**2*q)\/q*q)\/q**(-3\/5))**40 assuming q is positive.\nAnswer: q**184","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 9 = -w. Suppose 6 = 2*g - h - 0*h, g = w*h + 3. What is the remainder when g is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03485969404 to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103 + -123.5. Let a = 20 + k. Round a to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 515994102 to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o + 1. Let t be c(-3). Let d(l) = 6747*l + 16 - 6746*l + 0. Let r be d(t). Which is bigger: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56895893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*f**2 + 1529432*f + 539808 = 0.\nAnswer: -6\/17, 22492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, f: 6, l: 5}. What is prob of picking 1 l, 1 f, and 1 z?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 2 + -1 + (10 - 7 - 3).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 3. Let d = a + 6.1. Let u = -13\/2 - -7. What is the closest to u in -2\/23, d, -2\/15?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*s + 3. Suppose f + 4*r + 0 - 3 = 0, -s*r = -5*f + 65. Find the second derivative of -2*n**5 - n**5 - 15*n + 11*n + f*n**5 wrt n.\nAnswer: 160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 112 - 86. Suppose -a + 0*a + 4 = o, 0 = 2*o - 4*a - j. Let q be 28\/6*((-8)\/o - -2). Solve -l - 3*k = -4*l - 9, 3*l - q*k = -13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18311, 36630, 54963, 73310?\nAnswer: 91671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 1, 4, -7.\nAnswer: -32, -7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215145828.\nAnswer: 2, 3, 31, 179, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 828 + -144.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1163034 bigger than -1163040?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - ((4 - (2 + -2)) + 40 + (-66 - -24)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*y + y, 0 = 2*p - 3*y - 8. Let x = 17 - p. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -3, -184 in descending order.\nAnswer: 1\/4, -3, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.17 - -53.83. Which is the nearest to y? (a) -0.3 (b) 1\/3 (c) 5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -34*b**2 - 1. Let o(q) = -34*q**2. Calculate a(o(x)).\nAnswer: -39304*x**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j + 0*j - 115 = 0. Suppose j*r - 733 = -13. Calculate the smallest common multiple of 27 and r.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92310 = -13*r + 169133. Suppose -49186 - r = -3*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 7 = -r, 4*r - s + 4180 = 4197 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*j + 22*j**2 - 17852 + 17852 - 23*j**2.\nAnswer: -j**2 + 216*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43\/9? (a) 3\/2 (b) -4 (c) -5\/7 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 4. Let y = 1885 - 1893. What is u(y)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 8*d**2 + 6*d + 9. Let x be a(7). Let u be (-4)\/2 - 3*-3. Suppose x*y = u*y - 145. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 58*r**3 + r**2 + 6*r**2 - 7*r**2.\nAnswer: -58*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.36 and 0.09.\nAnswer: -0.0324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o + 76*o + 134 = -137*o + 612 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (52\/91)\/(2\/14). Let v be (14\/(-3))\/(m\/(-144)). Let y = -70 + v. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1326 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/18 - (-9393)\/(-1062)) + (-75)\/(-350)*42?\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/(-78))\/(-2*1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-54)*9)\/(1\/18). Suppose -c*j + 17*j - 79200000 = 0. Suppose f - j = 4*m - 0*m, 0 = -m. Round f to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 12 = -12*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b**3\/7 - 10574472*b**2\/7 - 3524817*b\/7 + 7049646\/7 = 0 for b.\nAnswer: -1174941, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*h = 17746, -3060 - 490 = -j + h. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5469 - 5471 + 10940 - c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1054655)\/14)\/((0 + 2)*(-1)\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-6) + 1\/3. Suppose -2*x + 2*g = -12, -g + 9 - d = 2*x. Let u be 5\/(-20) + 3*4\/(-16). Put u, 3, x in decreasing order.\nAnswer: x, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, v: 3, y: 2, f: 1, q: 5, g: 3}. What is prob of sequence vv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b**2 - b**2 - 3*b**2)*((-b + 1 - 1)*(0 + 2 + 0) + 0*b - b - 2*b) to the form t*b + s*b**3 + v*b**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-90))\/(770\/88).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5126 - -5168. Solve -16 = -3*b - x*y + 43*y, 2 = b + 3*y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -84, -183.\nAnswer: -183, -84, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - 132*u - 21053. Give x(140).\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 754\/7 - 108. Let u = 20 - 20.1. Let t = 1.1 + u. What is the smallest value in r, 2\/11, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 36732900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*s = 164, -6*m + 470 = -m + 5*s. Round m to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -31554 and -31553 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*c - 5*c - 40*c)*(-c + 2*c + 0*c) + 3*c**2 - 3*c**2 + 7*c**2 to u + f*c**2 + a*c and give f.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -1)\/((-4)\/(-132)). Find the second derivative of 33*z**4 - 7*z**5 - 7*z - t*z**4 wrt z.\nAnswer: -140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccgscgccgcggg. What is prob of picking 3 g and 1 c?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 32*d**2. Let f(y) = -3*y. Let v(b) = 16*b. Let n(k) = 4*f(k) + v(k). Determine c(n(w)).\nAnswer: 512*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87149068?\nAnswer: 2, 97, 224611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + m + 4*m = 290, 4*c - 4*m - 248 = 0. Suppose -21*h + 23*h - c = 0. Solve 5*j = 5*a + h, 0*a - 4*a - 22 = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3))**7*y**2\/(y*y\/(y*(y*y*y\/(y**(3\/4)\/y*y)*y)\/y*y*y)) assuming y is positive.\nAnswer: y**(91\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 414338342?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 8:53 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -232058, -230437, -227734, -223949, -219082, -213133?\nAnswer: -206102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 81\/7*l**2 - 27*l**4 + 0 - 21*l**5 + 6\/7*l + 249\/7*l**3 = 0.\nAnswer: -2, -1\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1062 - 1065. Let w(f) = -f**3 - 3*f**2 + 2*f. Let m(o) = -3*o**3 - 8*o**2 + 5*o. What is a*m(h) + 8*w(h)?\nAnswer: h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8305781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}